diff --git "a/data/dm_maths/full_data_1/10824_11255.jsonl" "b/data/dm_maths/full_data_1/10824_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10824_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many minutes are there between 4:20 PM and 4:56 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 - -0.11. Which is the nearest to 0.2? (a) -2\/9 (b) x (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -79, 3 in decreasing order.\nAnswer: 63, 3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2151, 4316, 6481, 8646, 10811?\n\"Answer: 2165*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 5:34 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 103112002001 (base 4) to base 12\nAnswer: 1846715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14654 in 0.3, 1, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50 + -62 + 36 + 4 - (-5 - 9)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 301*i - 595. Calculate j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/8 + 1\/(-4). Suppose -5*t - 240 = -4*r, -3*t + 2*t = k*r - 161. Suppose -2*i = 4*n - 34, 0*n - r = -3*i - 4*n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362.31 rounded to the nearest ten?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -569 - -567. Let n(l) = -17*l**2 + 13*l - 9. Let r(j) = -4*j**2 + 3*j - 2. Calculate h*n(c) + 9*r(c).\nAnswer: -2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 16. Let y = -28 - -42. What is the units digit of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 - (70 - 4)*(-14120)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c - 3*c + 48. Suppose 5*v + r = -41, 6*r = -2*v + 3*r - 19. What is the least common multiple of c and (6 + 1)\/((-4)\/v)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 - 102319?\nAnswer: -10239a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-70))\/27 - 4\/630*-3?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -14. Suppose 0 = 4*k - 8*k + 16. Suppose -3*a + 102 = 3*h, k*a + 35 - 6 = h. What is the remainder when h is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s + 37 - 3 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 - 7*x. Let v(p) = -p + 26. Let s be v(8). Suppose -9*t - 45 = -s*t. Let a = -5 - -12. Let n(w) = -3*w**2 + 10*w. What is a*y(h) + t*n(h)?\nAnswer: -h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 2*t**4 - 22*t**4 + (-t**2 - 2 + 2)*(-1 + 1 - t**2) - 2*t**4 + 4*t**4 - 4*t**4 to y*t**2 + a + p*t**4 + o*t + j*t**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 225, 251, 299, 375, 485, 635?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjhjwjhw. What is prob of sequence hwh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -46*l. Let w be y(0). Suppose w = -15*o - 124026 + 475911. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-45)*(1 + -2). Suppose -5*b = -4*b. Suppose v - 11 + 9 = b. Is i less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -110909296*l**2 + 335615969*l.\nAnswer: -221818592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 51*x - 215. What is v(0)?\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + u = -u + 12, 2*u - 24 = -4*h. Let d = 3 - h. Are -5 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 127778, 127581, 127384, 127187, 126990, 126793?\n\"Answer: -197*w + 127975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 12*n**2 + 43*n - 6. Let h be t(8). Calculate the highest common factor of h and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24976*x**2 - 12256*x - 3 wrt x.\nAnswer: 49952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5822*a**6 - a**2 - 95.\nAnswer: 698640*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d*u - 925*d - 8*u**4 + 4*u wrt u?\nAnswer: -2*d - 32*u**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5 = -o, 0*p + 39 = -3*p - 5*o. Let h(w) = -3*w - 2. Let s be h(p). What are the prime factors of 4\/s + (-7)\/(308\/(-7120))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0, -4, 3 in decreasing order.\nAnswer: 33, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d**4 + 3*d**2 - d**2 + 1 - 2*d**4 - 7*d**4 to g*d**4 + w + m*d**3 + y*d**2 + p*d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -47*x - 7*x**2 + 70*x + 14 + 0. Find the first derivative of i(n) wrt n.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6*h)**(-10)\/(h*h*h**2*h*h**(-8\/3)))**(18\/13) assuming h is positive.\nAnswer: h**(-1302\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8780607 is divided by 52.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**4 + 160824*l**3 + 188364*l.\nAnswer: 24*l**2 + 964944*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*w**2\/3 - 1684352*w\/7 + 262496\/21.\nAnswer: 2*(w - 32812)*(77*w - 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1523.1 + -3.76665.\nAnswer: -1526.86665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + 3 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -3111028?\nAnswer: 3111027.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000371357 rounded to 6 decimal places?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69537, 139164, 208889, 278712, 348633, 418652?\nAnswer: 488769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, c: 2}. What is prob of sequence tcct?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g**5 + 575*g**4 - 1285*g**3 + 905*g**2 - 180*g = 0. Calculate g.\nAnswer: 0, 1\/3, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108.2 - -2.2. Let s = i + 107. Sort s, -2, -7.1 in decreasing order.\nAnswer: s, -2, -7.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4*-12)\/((-1260)\/168)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s. Let p(t) = 23*t**2 + 4*t - 4. Let x(g) = -24*g**2 - 5*g + 5. Let b(a) = -5*p(a) - 4*x(a). Determine j(b(z)).\nAnswer: -57*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2130624 or -19175608\/9?\nAnswer: -2130624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*g + 916 + 29, 0 = 5*c + 2*g - 915. What are the prime factors of c?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 928 + -925 - 8\/(0 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2536, 5048, 7562, 10078?\n\"Answer: t**2 + 2509*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or 117?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 = g, 18 = 5*g + 2*x - 7. Suppose 2*a - m - g*m = 84, -3*m + 12 = 0. Is a a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 423? (a) -46 (b) -1\/3 (c) 5 (d) -7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(72)\/sqrt(3) + sqrt(24))\/(sqrt(12) - sqrt(108)\/(sqrt(729) - sqrt(9)))*5.\nAnswer: 200*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379 + -325. Suppose 7*p + x - 75 = 0. Let u = 102 - 72. Calculate the lowest common multiple of u and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*b**3 - 476*b**3 + 797*b**3.\nAnswer: -173*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 6803.\nAnswer: -33\/6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 2*i + 29 = 0, -14 = -384*d + 382*d - 2*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 8 = -3*d. Suppose -f - 531 = -d*a - 93, -3*a = -3*f - 657. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 53587053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*v + 89*v = -60*v + 432 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35255271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 556 and 8.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 20 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -q + z - 1, -2*q - z + 1 = 0. Let k be (-3 - 60\/5)*q\/(-5). Solve 0 = -k*h + 8*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:45 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/44690 and -29\/105512.\nAnswer: 21629960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - sqrt(396)*-1)\/sqrt(4).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11866447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 20*s**2 + 19*s + 4. Let y be m(-19). Let 405 - 221*h**3 + 5*h**5 - 21*h**4 - 20*h**4 - 14*h**y + 431*h**3 - 135*h - 270*h**2 = 0. What is h?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -38)*(-4)\/10. Let d = g - 10. Let n(z) = z - 1. Let h(o) = -o + 4. Let s(j) = -h(j) + n(j). Calculate s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1\/3 (c) -798040 (d) -2 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -45*i + 94. Let g be l(2). Solve -j = g*z + 19, -1 - 3 = -2*z + 4*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25581 is divided by 1656.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2632 - 2631.944. Let o = 304.944 + -310. Let q = o + u. Which is the third biggest value? (a) 4 (b) q (c) -0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4549980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(225) - sqrt(45)\/(sqrt(9) - (sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9))) - (3 + sqrt(720) + 2 + -5)) + 5)*3.\nAnswer: -369*sqrt(5)\/10 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 53, 93, 169, 293, 477, 733?\nAnswer: 1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, h: 1, e: 1, s: 1, g: 2}. Give prob of picking 1 h, 1 e, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67634 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2620*j**2 + 31454*j + 167. Give t(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/5 of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 5*i + 5 + 5*i - 3 + i - i**2 to the form g*i + a + q*i**2 + l*i**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -251808370 rounded to the nearest 100000?\nAnswer: -251800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {b: 1, s: 2, a: 1, i: 1, h: 7, x: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 180, -3 in decreasing order.\nAnswer: 180, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179258 is divided by 1829?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -751 - -784. What is the least common multiple of v and 252?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 654352*j - 3926104\/3.\nAnswer: -2*(j - 981526)*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18033 + 18033.5. What is the closest to 1\/4 in 2\/17, h, 0.18, -0.3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/sqrt(175))\/(sqrt(60)\/sqrt(1210)).\nAnswer: 11*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173658190*s**3 - 173386950*s**2?\nAnswer: 1041949140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 31239\/(-72)*8\/(-18). Let c = y - 436\/3. Calculate the common denominator of 149\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.062, 95, 0?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46655110.45 rounded to the nearest one hundred thousand?\nAnswer: 46700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2046 + -719. What are the prime factors of t?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 - 3*s**2 - 3*s - 3. Suppose 2*v + 32 = 5*z - 0, -5*z = 5*v + 150. Let p(a) = -9*a**3 - 13*a**2 - 13*a - 13. Calculate v*r(t) + 6*p(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/112*y**8 - 13\/40*y**6 - 3\/5*y**5 - 1\/2*y**4 + 0*y**3 + 0*y + 3 - 2*y**2 - 3\/35*y**7. Factor f(h).\nAnswer: -3*h*(h + 1)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p - 1. Let d(t) = -2*t**2 - 12*t + 20. Let q(j) = d(j) - 3*z(j). What is q(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 11687*m**2 = 0 for m.\nAnswer: 0, 11687","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2. Let s(k) = 20*k**2 - 5*k + 5. Let n(l) = 10*l**2 - 3*l + 3. Let x(t) = -10*n(t) + 6*s(t). What is r(x(h))?\nAnswer: -800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (6 - (14 + -9) - (0 - -1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -947 - -2?\nAnswer: -945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159755, -158303, -155883, -152495?\nAnswer: -148139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782, -769, -746, -707, -646, -557, -434, -271?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1817*b**3 + 392*b**2 wrt b?\nAnswer: -10902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 191678, 191746, 191866, 192044, 192286, 192598, 192986, 193456?\nAnswer: 194014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a48491 (base 13) to base 12\nAnswer: 1355520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21199, 0.9, 0.5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7391 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from {k: 3, d: 12}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i + i - 6*i + 3*i**2. Let y(p) = 2*p**2. What is y(f(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 64 = 26. Let a = 10 - 5. What is the remainder when a is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*v**3 - 2*j**3*v - 26*j**2*v - 10*v**4 wrt v.\nAnswer: 12*j**3*v - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 14.6. Let p = -2.96 + 3. Let a = 0.54 - p. What is the third biggest value in a, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48735857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 416 + 433 = l, -6*j + 3*l = 42 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 16*y**2. Let p(l) = 2302573*l. Calculate c(p(m)).\nAnswer: 84829478725264*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -1. Let u be 33\/f + 20\/50. Suppose 6*a = u*a - 5. Solve 2*q = a*d - 25, -d - q + 5 = -0*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/((-492)\/(-70))*(-6)\/(-21).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 2. Let f(n) = -5*n + 7. Let s(w) = 4*f(w) + 18*k(w). Let m be s(-6). Suppose m*r = r + 9. Solve b = -r*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273*0.06721\nAnswer: 18.34833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 + 4*o - 10. Let s be z(-6). Solve -s*u - 8 = -4*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7052 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 36057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(484) - (sqrt(484)*1 - sqrt(484)))*6)\/(sqrt(2) + sqrt(22)\/(sqrt(99)\/sqrt(9)) + (sqrt(2) - ((sqrt(50) + sqrt(2))*-5 + sqrt(2)))).\nAnswer: -99*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/397480 and -113\/3800.\nAnswer: 1987400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.21 + 11.0682. Let b = 1.5028 + d. What is b rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52980588 and 304?\nAnswer: 211922352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*v - 8, v + v = -4*j + 26. Let s(f) be the second derivative of f**3\/2 - 2*f + 45. Let t(k) = k. Calculate j*t(p) - 3*s(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 82*r - r**2.\nAnswer: -r**2 - 82*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-75) + 400136\/30. Let s = -5360 + t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901598 is divided by 4323.\nAnswer: 3801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, g: 1, s: 1}. Give prob of picking 1 w and 1 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**(-11)\/((n*n*n*n\/(n*n\/n**(-1))*n)\/(n*n**(3\/2)\/n*n)) assuming n is positive.\nAnswer: n**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06925 and 1.6?\nAnswer: -0.1108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-48)*(-2187)\/(-243).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 14*d**2 + 41*d - 430. What is the remainder when j(14) is divided by 65?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -18, -31, -42, -51, -58, -63?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 910 and 98.\nAnswer: 6370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*k**4*s**2 + 45*k**4*s - 128*k**3 + 18810*k**2*s**2 - 3*k**2*s + k**2 - 2*s**2 wrt k.\nAnswer: -1608*k*s**2 + 1080*k*s - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + j + 9. Give x(-5).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5116.377g?\nAnswer: 5116377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -17*x**5\/20 + 107*x**4\/12 - 625*x**3 + 3897*x. Find the second derivative of u(m) wrt m.\nAnswer: -102*m + 214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/684 and 155\/1188.\nAnswer: 22572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/(y**(-6\/5)\/y)*y**(-7)*y*y**8\/y)\/(y*y**(-7\/4)*y**(2\/5)*y\/(y\/y**6)*y**(-1\/4)\/y*y) assuming y is positive.\nAnswer: y**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/1424363 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2. Let c be v(-6). Suppose 0 = u - 5*a - c*a - 21, 3*a - 38 = -4*u. Suppose 3*o - 2*o - u = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-5 + 4)*-5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76033*u**2 - 29778*u**2 - 18894*u**2 - 41191*u**2.\nAnswer: -165896*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1388129, -1388125, -1388121, -1388117, -1388113, -1388109?\n\"Answer: 4*r - 1388133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*-1*(sqrt(200)*1 - sqrt(200) - sqrt(200)) - 5*(-6*sqrt(2)*-2 + (2*sqrt(288))**2 + sqrt(288)).\nAnswer: -5760 - 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (1059\/(-39) - (-6)\/39). Suppose 16 - 116 = -o*r. Calculate the remainder when 5 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 9. Let k = p - -7. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = -l + 22, -3*l + 72 = -4*m. What is the remainder when 53 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3175509 to the power of 1\/2, to the nearest integer?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**7\/2520 - c**6\/80 - c**5\/8 - 2*c**4\/3 - c**3\/3 - c - 17. Let g(h) be the third derivative of m(h). Determine g(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1323622?\nAnswer: 2, 53, 12487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v - 3. Let y(s) = s. Let d(f) = 2. Let l(q) = d(q) + 2*y(q). Let g = 32 - -70. Let m = g + -98. Determine m*c(p) + 7*l(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8170 times -14210?\nAnswer: 116095700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 99. Let h = g + 74. Let m = h + -88.0285. Round m to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*t**3 - 1249*j**3*t*z**2 + 6*j**2*t**3*z**2 + 3*j**2*z - t**3 wrt j?\nAnswer: -12*t**3 - 7494*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 218*u - 75. Calculate c(-38).\nAnswer: -1139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160.22 - 164.22. Which is the biggest value? (a) n (b) -3 (c) -2.01 (d) 1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -421, -427, -435?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2793094 - 793094. Round b to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) -4 (c) 141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -700235 + -14?\nAnswer: -700249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - t + 38 - 40, 3*s = 4*t + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616.763 years in decades?\nAnswer: 761.6763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 4284 = -29*x. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 7*n**2 + 8*n - 4. Calculate z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from cjcie?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.004 - 0.096. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:43 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 times 3061?\nAnswer: 3333429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((102\/9044)\/(288\/224))\/(3*4\/54)?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*r = 22, 4*r = -3*c + 5*c + 14 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.07 (b) 0 (c) -0.6 (d) -82 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, a: 4, i: 7}. What is prob of sequence xxia?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1492918*l**2 - 87*l. Let u(p) = -2*p. What is i(u(f))?\nAnswer: -5971672*f**2 + 174*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -29*c**2 - 197*c - 1186. Determine x(-6).\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31004303 + 44?\nAnswer: -31004204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g + 18. Give j(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609617.\nAnswer: 609617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243080?\nAnswer: 2, 5, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnzdz. What is prob of sequence ndz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 1575*i = 0.\nAnswer: 0, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-57 - (-28 - 13))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -172387*f + 190625 wrt f?\nAnswer: -172387","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 + -1101111101?\nAnswer: -1101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -211?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.09, -0.3, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(7) + 2)**2 + sqrt(7) + (sqrt(567) + -2 - sqrt(7)).\nAnswer: 25*sqrt(7) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 18. Put -1, x, 2 in descending order.\nAnswer: 2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**4*q + 224888*h**3*q - 9*h**2*q - 5*h**2 + 5*h*q - 3*q + 2 wrt h?\nAnswer: 24*h*q + 1349328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 513120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 25*h - 7 = 28*h, -2*a + 6 = -4*h. What is the third smallest value in 4, -0.2, -18, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/2 + 1 - -33 is divided by ((-81)\/(-45))\/((-6)\/(-40))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 h when four letters picked without replacement from {h: 2, c: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = w - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-2)\/((-4)\/2) + 134. Suppose -2*q = 3*h + 155, 5*q + 2*h = h - 355. Let y = q + p. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -29 (c) -0.708 (d) 6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - (-1113)\/35. Let t(u) = 2*u + k - u - 36. Let h(o) = 4*o - 15. Calculate -6*h(j) + 22*t(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 2577*r**2\/2 - 2039*r - 3068. Differentiate s(q) wrt q.\nAnswer: 2577","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 7*a - 42 - 48 + 6*a**2)*(2*a + 0*a - 5*a).\nAnswer: -18*a**3 - 21*a**2 - 75*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -70397\nAnswer: 3\/70397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 4*f - 35 = 0, 9*l + 15 + 76 = 5*f for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 3*q = -1225 + 1263, -3*b - 22 = -q for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l - 324 = -2*s, 2*s = 4*l + 300. Suppose s = 2*y - 2*m, y + 2*m + 389 = 6*y. Is 41 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x**2 + 3*x + 13. Let o(p) = -p**2 + 7*p - 6. Let k(c) = -3*c + 3. Let q(y) = 9*k(y) + 4*o(y). What is -2*d(v) + 9*q(v)?\nAnswer: -2*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -15. Suppose -40 = -k*b - 4*r, 5*b - 82 = 3*r - 2*r. Let s be (12\/10)\/((-12)\/(-640)). What is the highest common divisor of b and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/10 - -3*5\/30. Round k to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31 + -110?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3116*p = 3108*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -110 and -0.2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*z - z + 1, -5*o - 4*z = 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 35*j - 3. Let c be t(0). Sort 372, c, -1 in decreasing order.\nAnswer: 372, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*y - 8 = 0, -1 = 2*a + 5*y - 0*y. Factor 80\/7*l + 290\/7*l**a + 8\/7 + 470\/7*l**3 + 50*l**4 + 14*l**5.\nAnswer: 2*(l + 1)**3*(7*l + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -6 + 2 + 0 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 94 - -112 - 62?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -813*j + 401 + 463 + 135 = 186 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/27 - (-95040)\/16038. Solve 3*u + 3*r + s = 0, -r - r = -u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*q - 50 = 68*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i**2 - 2*i + 2. Let w(s) be the first derivative of 2*s**3 + 3*s**2\/2 - 2*s - 35. What is -4*o(h) - 3*w(h)?\nAnswer: 2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/b**(-7))*b)*b*b*b**9*b*(b*b*b\/(b*b\/(b\/(b**0*b))))**(-34))**26 assuming b is positive.\nAnswer: b**(-416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylly when four letters picked without replacement from {y: 1, o: 2, l: 1, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 682 and 154?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17729 + -0.1776188. Round a to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49677 is divided by 700?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/10 - 11\/90. Let l be (-27)\/108*(-16)\/26. Sort l, -2, p in decreasing order.\nAnswer: l, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 176\/3. Suppose i = -4*f + 169 - 188, 0 = -2*i - f + 4. Which is the third smallest value? (a) -18 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 2 + (4 + 1 - 0). What is the highest common divisor of 4 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -i**4\/8 - i**3 - 4*i**2. Is p(-8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:10 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-12 - -21)) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-4) - -2 - 3625\/(-500). Solve 3*f = 2 + a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5511590.476 to the nearest ten thousand.\nAnswer: -5510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4848 + 3135 + 12921 + 5542 + 12093)*(0 - j + 0).\nAnswer: -28843*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 0.7 (c) 6 (d) -139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 17 = -6*u + 9*d - 83, -4*u - 7*d + 2*d + 78 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 621913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zsgkrts. What is prob of sequence zg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 153213 (base 7) in base 12?\nAnswer: 153b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 69*m**2 - 264*m + 259. What is t(65)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*t - 4*j, -3*t + 26559*j - 26556*j + 24 = 0 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30\/(-105) - 3\/28. Let x = -8\/7 - p. Sort x, 4, 1, 0.4.\nAnswer: x, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*i - 14*i**3 + 6*i**2 + 39*i**3 + 113*i - 23*i**3 to g*i**3 + s + m*i**2 + d*i and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 61*b - 1. Let c(i) = -2*i**3 - 213*i**2 - 321*i - 625. Let o be c(-105). Let x(q) = -q. What is o*x(a) + w(a)?\nAnswer: 56*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -586.37 * 12\nAnswer: -7036.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*n + 21 + 100 = 0, -5*a + 4*n + 123 = 0. What is the remainder when a is divided by 167\/13 + (-6)\/(-39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p + 5*a - 25 = 0, 4*a + 36 = 3*p. Suppose p*k + 2*h = 4*k + 16, -5*h - 20 = -5*k. Let d(f) = f**2 + 0 + 3 + 4 + k*f - 1. What is d(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 1396712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)\/q*q*((q*q\/(q\/(q\/q**(2\/9))))\/q)\/q)**(-11\/5) assuming q is positive.\nAnswer: q**(-77\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -215\/12 - 59\/12. What is the common denominator of i and 1312\/(-80)*5\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1596 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5184) - -3*sqrt(5184)*2)*4)\/(((-1*sqrt(144))\/sqrt(3))\/(sqrt(400) - (sqrt(400) + sqrt(400)*-1 - sqrt(400)))).\nAnswer: -6720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -298284 divided by -244?\nAnswer: 74571\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 68, 237, 566, 1109, 1920, 3053?\nAnswer: 4562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7409 + 7413. Solve -j*m = 49 - 29 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21834.13 + 21478. Round g to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 0 (c) -1581330\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 44*v**2 + 85*v - 36. Let m be i(42). Solve w = b - 3*w - 6, -4*b + m = 2*w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -136*n - 2*n**3 + 3*n**3 + 180*n + n**3 - 4*n**3 + 2*n**3 + (-5 + 2 + 1)*(2 - 2 - n**3) in the form z + d*n**3 + h*n + u*n**2 and give h.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17114560 > 17114559?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-15)\/25*5\/2. Sort -1, 9, n in decreasing order.\nAnswer: 9, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.039215568 and 5.9?\nAnswer: 5.939215568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 592*y - 35. Is l(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125326?\nAnswer: 2, 223, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -35. Let n = a - -28. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -67. Solve -t = -b*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11406 + 11325. What is the fifth smallest value in -0.4, -4\/3, 5, n, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ntvt when four letters picked without replacement from nttnnnnvvvtnvvnvtv.\nAnswer: 49\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 6800 (b) -8 (c) 0.4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1060 = 122*z - 12558 + 808. What is the highest common divisor of 1134 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 10 = 19*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2067.9 + -2068. Which is the nearest to 0.1? (a) 3\/4 (b) j (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2914 - 2942 = -d, 0 = 2*i + 4*d - 11720. Let p be 12\/22 - (-7588)\/i. Do 3 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.779967 to three decimal places.\nAnswer: 1.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0 - (-13 + -21 - -7)) + 11\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 1. Let b be q(1). Suppose -4*r + 3*o - b*o = -55, -3*r - 4*o = -46. Suppose r = 3*k - 4. Solve k = 2*j - 4*c, -4*c - 9 = j - 2*c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/12, -1786, -1 in descending order.\nAnswer: 1\/12, -1, -1786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 820\/(-1107)*3\/(-5). Factor 0 - 4\/9*s + c*s**2.\nAnswer: 4*s*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kto when three letters picked without replacement from ktktott?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8340200653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022 and 0.2.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/4, -1\/4, 7.757?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6626\/((-1)\/2*4). Let r = -1800 - x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2022)\/(-36) - 1\/6.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**3\/6 + 13*y. Let b be ((-30)\/(-25))\/((-6)\/(-40)). Let r(j) = -22*j**2 + b*j**2 + 3*j**2. What is i(r(w))?\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + 4*r + 4, 5*u - 6312*r - 16 = -6311*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 121911516294 from 8.\nAnswer: -121911516286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26006149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0816 - -0.1184. What is the biggest value in i, -5, 16, 4\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 8 = -40. Sort 2061, a, 3.\nAnswer: a, 3, 2061","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 897.362 millilitres?\nAnswer: 0.897362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -235 + 138. Let j = -86 - c. Which is smaller: 16 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2523, 4792, 7061, 9330?\n\"Answer: 2269*u + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 30064483 and 30064483 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 1. Suppose 80 = -2*k + t*k. Calculate the lowest common multiple of (-30)\/(-2)*2\/5 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -224 - -344. Suppose -10 = -4*h - h. Find the common denominator of h\/3 - (-622)\/x and -11\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 344072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 110*d**2 - 322*d - 1598. Give b(113).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -981, -7143, -23237, -54021, -104253, -178691, -282093, -419217?\nAnswer: -594821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 2*d + 4*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -161, 8913, -4 in decreasing order.\nAnswer: 8913, -4, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1116\/(-744))\/((6\/(-4))\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7810?\nAnswer: 2, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/4 + 3447*s**2 + 1022511*s + 75032320 = 0. What is s?\nAnswer: -146, 14080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1342\/(-55)*(-27)\/(-108)*2\/(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 181\/242640 and -27\/80.\nAnswer: 242640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 11*p - 16*p. Let t(f) = f**2 + 2*f. Let g be ((-3)\/(-6) + -1)*12. Let m(h) = -h**2 - 3*h. Calculate g*t(j) + p*m(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1279, -2543, -3805, -5065, -6323, -7579?\n\"Answer: l**2 - 1267*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -4*i - 52. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -978*(-52)\/(-1638) - -31.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3\/3 - 38*j**2\/3 + 80*j\/3 = 0 for j.\nAnswer: -40, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -3\/2, 1, -10, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25053.43ug to grams.\nAnswer: 0.02505343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 215, -657, 14 in ascending order.\nAnswer: -657, -4, 14, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3816703933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 + -267. Let z = 244.2 - l. Sort z, -2\/21, 0.5, 4.\nAnswer: -2\/21, z, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 3.21715.\nAnswer: 3.51715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19.0000006. Round j to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 14*a + 16*a - 6*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1841 + 101 = -4*o. Suppose -l - 4*l - 25 = 0, -4*b = -3*l - o. What is the remainder when b is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(1 - 0) + 398 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2 = -4*w, n + 13 = 3*w - 8*w for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/((s**11*s)\/s)))\/s))\/(s*s*s**21)*(s\/((s*s*s\/(s*s**(-5\/4)*s*s*s)*s)\/s)*s)**46 assuming s is positive.\nAnswer: s**(97\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 7 = -2*u. Determine i, given that -52 - 47 + 6*i**2 + 103 + u*i = 0.\nAnswer: -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-23\/5)*y\/y**25 assuming y is positive.\nAnswer: y**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 17*u**2 - 3*u - 2 + 40*u**2 in the form g*u**2 + d + b*u and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(-1*sqrt(36)\/sqrt(3)).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 432*p**2 - 3 - 430*p**2 + 13.\nAnswer: 2*p**2 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s - 119 + 112 - 3*s + (-1 + 1 + 3)*(-43*s + 46*s - 5 + 3) to the form u + m*s and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - f + 720, -4*j - 3*f + 968 = f. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -10 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 19*z - 833. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992471?\nAnswer: 67, 14813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -i + k = -4 - 2, -a*k = 5*i - 14. What is the greatest common divisor of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8807? (a) 0.1 (b) -4 (c) -59 (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 21, 30, 55, 102, 177, 286?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 1497941.5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5524421 hours in minutes?\nAnswer: 33.146526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -40*d**3 - 15*d**2 + 3*d + 2. Let t(q) = q**3 + 5*q**2 - q - 1. Calculate 2*g(p) + 6*t(p).\nAnswer: -74*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41 + -40.9. Which is the third biggest value? (a) -0.03 (b) 2\/49 (c) x (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*k + 27*k - 31*k + 310 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 887975\/5208 + -5278\/31. What is the common denominator of -53\/77 and s?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 952*o = 948*o + 40, 3*i - 5*o + 61 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 11\/15, -4, -0.5, -0.4 in increasing order.\nAnswer: -4, -0.5, -0.4, 0.3, 11\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, m: 3, v: 3}. What is prob of picking 2 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11524 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r + 7. Let z(p) = 7*p + 6. Let x(g) = 6*h(g) - 7*z(g). Let y(b) = 3*b**2. Calculate x(y(i)).\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 17*c + 7*c + 1)*(7*c + 5*c + c).\nAnswer: 247*c**2 + 13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1437 and 245160.\nAnswer: 117431640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 32, 36, 44, 56, 72, 92, 116?\n\"Answer: 2*q**2 - 2*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 32*b + 11. Let i be d(-9). Let u(n) = -n**3 + 15*n**2 + 24*n - 4. Let c be u(16). Is i > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 292. Is (a\/10)\/3*-5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 4 = 11*h. Solve 3*f = h*i + 10, -3*f = 2*i + 2*i + 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-5))\/((-44)\/440)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 37. Determine f(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/16 and 71\/21944048?\nAnswer: 21944048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*(-10)\/6*(-150)\/125?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489274 is divided by 2602.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2290\/13 or 175?\nAnswer: 2290\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 2 (c) 2\/7 (d) 2.09 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 972 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from wgvrwrargrrr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.4816g in micrograms?\nAnswer: 61481600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 22*m**2 + 0*m**2 + 7 + 8*m - 53*m**2 + 24*m**2 + 0*m**3 + m**3. Let v = -36 - -34. Let n(g) = -g**2 + g + 1. Determine v*p(a) + 14*n(a).\nAnswer: -2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*d**2 - 174311880*d + 101282105030448 = 0. Calculate d.\nAnswer: 5810396\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 525555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, k: 1, v: 2, h: 1, g: 3}. Give prob of picking 2 g and 2 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/15 bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 8. What is the second derivative of 0*o**2 + 4*o**3 + 4*o + b*o**2 wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2077 + 2089. Solve j*l - 15 + 75 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = 4*d, 3*b - 2*d + 9 = 0. Let n(c) = -11*c - 3. Let a(g) = 16*g + 4. Give b*a(f) - 7*n(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**3*p + 983977143*b**3 + 126119028*b**2*p + 2*b*p wrt p.\nAnswer: 2*b**3 + 126119028*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u + 9. Let r be b(5). Let c(y) = 45*y + 775. Let m be c(-16). What is the highest common divisor of m and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 8*v**3 + 18*v**2 + 16*v + 5.\nAnswer: (v + 1)**3*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879, -200, 477, 1152, 1825, 2496, 3165?\nAnswer: 3832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, -152, -578, -1424, -2834, -4952?\n\"Answer: -24*z**3 + 6*z**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p - 20104 = -43*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 180 = -5*u, -5*n + 30 + 200 = -5*u. Let g = 92 - n. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3913 = 5678*r + 245919 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 586 - 583. Put 164, a, 5 in ascending order.\nAnswer: a, 5, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 5:21 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2941231 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(27) + sqrt(27) + 1*sqrt(243) + sqrt(243) + sqrt(243) + sqrt(243))\/(-2*sqrt(36)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 477. Let s be (93\/2)\/((-18)\/(-12)). Is q(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -470799 divided by -27.\nAnswer: 17437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 4*q = -k - 13*k - 62, 4*k - 4*q + 10*q - q = 57 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 6*f + 1073 = 0. Solve f = 12*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*b**4)*(-3 + 2 - 1) + (44*b - 6*b + 9*b)*(3*b**3 + 0*b**3 + b**3) in the form k*b + w*b**3 + r*b**2 + x*b**4 + u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -155. Let z = 1004 - 1006. Put l, 0.052, 1\/5, z in ascending order.\nAnswer: z, l, 0.052, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60472 is divided by 59094.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -2, -69, 1 in descending order.\nAnswer: 1, 0, -2, -8, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n. Let k(m) = 71*m**2 - 40*m. Calculate h(k(i)).\nAnswer: -71*i**2 + 40*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 105 - 100. Solve s*x + 6 = 8*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 5*j - 15. Does 14 divide 74 - (4 + j - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2948669.\nAnswer: 23, 128203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -77. Let z be 30\/20 - (o + (-6)\/4). Suppose 5*k = z*y - 40002, -5*y = 4*k + 1832 + 30163. What is k rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-202)\/2121)\/(2\/7))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f + 300. Calculate the remainder when r(-44) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/3*136\/(-7616)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -5*f**5 + 5*f**4 + 75*f**3 - 45*f**2 - 270*f = 0.\nAnswer: -3, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 196557115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 3. Let i be n(-3). Let y be (-70)\/8 + i\/(-28). Let j = y + 3. Sort -4, 4, j in descending order.\nAnswer: 4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14187 is divided by 785?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2. Let q(l) = l + 554. Give -2*q(s) - 6*w(s).\nAnswer: -2*s - 1096","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9514 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 68843 = -13*l, -7966 = -3*l - p + 7915. What is the highest common divisor of 75 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -403. Let j = -297 + m. Which is the third biggest value? (a) 1\/3 (b) 7 (c) -0.1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2\/107, -4, 3, -3, 1\/5.\nAnswer: -4, -3, 2\/107, 1\/5, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6060*m = 2234*m - 14670 + 578662 for m.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 2*c. Let j be w(-3). Suppose 2*k + 5 = i, -3*i - 2*k = j*k - 4. Solve x + 8 = -2*h, 12 = -i*h - 2*x - 3*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - (-10 - (-2 - -4))) + 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Let b(g) be the third derivative of -g**4\/24 - g**3\/2 - 21*g**2. Let m(i) = -6*i - 15. Let x(s) = -22*b(s) + 4*m(s). What is x(o(u))?\nAnswer: 2*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, -8999\/53 in decreasing order.\nAnswer: 15, -2, -8999\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 760 - 759. Which is the second smallest value? (a) v (b) 0.2 (c) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0*y**4 + 2*y**2 - 1 - 2*y**4 + (4*y**2 + 4*y - 4*y)*(-3*y**2 + 3*y**2 - y**2).\nAnswer: -6*y**4 + 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 9*x = 1, -g - 6 = -3*x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 11. Let b be (y\/4 - -1) + 0. Suppose -2*a + a - 10 = -3*h, -4*a + 10 = -b*h. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 36. Let s be p(-14). Suppose -2*h + 2*b - 7*b - 39 = 0, 3*h - 3*b + s = 0. Is ((-1)\/(-2))\/(h\/(-1734)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -487160 or -487158?\nAnswer: -487160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*w - 217, 4*w - 683 = -86*b + 89*b. Is b not equal to -237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jii when three letters picked without replacement from iidjwiji.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131 + 53. Let q be 138\/(-8)*64\/24. Let u = q - l. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25881 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 61*y + 860. Give z(-21).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 55446537*q - 55446535*q = -60, -3*q = -3*r + 36 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-153)\/(-119) - (-4)\/(-14). Let d be (-14)\/15 - 10\/25*q. Let j be 7*-4*1\/(-14). Which is the nearest to 1? (a) d (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33209425819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1*y)\/y*y)**(2\/29)*y**(-10)\/y*y*y**6 assuming y is positive.\nAnswer: y**(-112\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 v, and 1 l when four letters picked without replacement from gqvqqqglvlvmm?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/(-325))\/(8\/(-40)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/8 + 164\/(-16) + 4. Let f be 2\/(-1) + (-39)\/30*-2. Let v = 1 + -1.2. Which is the nearest to v? (a) n (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 45\/4 of a kilometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/24*11*(-4952)\/(-619)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/27 and -131\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 7. Let b be y(5). Let r = 29 - b. Let g = -72375 - -72380. What is the remainder when r is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*p**3 - 11 + 23 + 7*p**3 - 11 wrt p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/30 + f**4\/24 + 27*f**2. Determine n(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v + 252*v**2 - 506*v**2 + 6*v + 255*v**2 + 4*v - 1. Suppose -5*a - 36 = 4*q, a - 2*q + 4 = -6. Calculate c(a).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 11*g + 13. Let y be w(-10). Suppose 0*q = y*q - 21. Calculate the smallest common multiple of 22 and 40\/q - (-6)\/21.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71321464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.95 + 0.05. Let o = 2.66 + -3.66. What is the biggest value in o, p, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(56\/(-48)))\/(-15*(-5)\/70).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 48*g**3 - 2*g**2 + 3*g + 1. Let y be t(1). Let v = y - 47. Solve k = -v*l + l + 3, l + k + 1 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*y - 2 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1665836586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12851*v**4 - 15408*v**3 + v**2 + 33091842.\nAnswer: 51404*v**3 - 46224*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(((-145197)\/(-1053))\/73)\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205441 = -3*p - q, 0 = -2*p - q + 72860 + 64101. Is 16 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 10780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8107227717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 (base 13) in base 6?\nAnswer: -20402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-2)\/(-6) - 0). Let s = 56 + -54. Let g(j) = -2*j + 1. Let q(z) = 2*z. Determine s*q(y) + t*g(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*1476\/(-10080)*35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4403 or 30812\/7?\nAnswer: 30812\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrpr when four letters picked without replacement from {r: 3, p: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/158544 and -17\/8.\nAnswer: 158544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2. Let x(i) = -1677 + 117*i + 382*i + 1677. Calculate x(l(g)).\nAnswer: -998*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 165751 or -0.1015?\nAnswer: -0.1015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 179074?\nAnswer: 1790740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 + (3 - (-25 + 14) - 38).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-14)\/4 - -4)*0. Let i(x) = 32*x**2 - x - 2. Calculate the remainder when i(-1) is divided by -24*((-4)\/8 - y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 883499954 to the power of 1\/2, to the nearest integer?\nAnswer: 29724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 10 = -d - 1, -12 = -3*g - 2*d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5601105*s**3 - 2060204*s.\nAnswer: 33606630*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38506225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-334)\/(-10) - 2\/5. Let g = -203 + 214. Suppose -g - b = -2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 33. Let k = -10 - q. Let s(a) = 5*a + 1. What is the remainder when s(2) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.8427 centimeters in meters?\nAnswer: 2.828427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*q - 12 = -5*x, 0 = -x. Let o be (q - (-1 - 2)) + 26. Let n = o + 69. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 10*y = i + 19, y - 71 = 5*i. Let j = i + 28. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 135 - 15. Let c be (36\/k)\/(4\/(-10)). Suppose q + c*q - 20 = 0. Solve -i - 3*g = 13, -q = 3*g + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/9 (b) -0.2 (c) -2\/13 (d) 0.4 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1573) + 2 + -1*(-5 + sqrt(117) + sqrt(117))**2.\nAnswer: -491 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -15*c**4 + 42*c**2 + 13*c + 13. Let p(o) = -7*o**4 + 21*o**2 + 6*o + 6. Let x(b) = 13*p(b) - 6*y(b). What is the third derivative of x(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 3\/2*l**2 + 259*l + 2*l**3 + 0. Calculate a(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002 + 11?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:57 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 48471 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8 - 4 + 0 + 6*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -65. Let n = -8476\/11 - -772. Let m = n + -26\/33. Is m at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 357.6 - 347. Let v = k - 3.6. Which is greater: v or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10655 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millimeter in micrometers?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*p - 8, 14*i - 19*i = 3*p - 8. Suppose l + 841 = i*h, -l = 5*h + 4*l - 1020. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, 1, -413, -3.\nAnswer: -413, -84, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15917600 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 7*t = -90. Suppose -s + 5*s + 35 = -3*m, -3*s = -4*m - 5. Let y(a) = a**2 + 7*a + 6. Let b be y(m). Put t, b, -2 in ascending order.\nAnswer: b, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*q - 6, q - 2 = -4*b + b. Calculate the common denominator of -57\/4 and (24\/448)\/(3\/q).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212*i - 3181*i - 713 = 0 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -197689, -395381, -593073, -790765, -988457?\nAnswer: -1186149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/120*-8*(-10)\/(-6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1784 + 1795. Let i(g) = g**3 - 7*g**2 - 8*g + 7. What is the smallest common multiple of a and i(8)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1\/42*l**7 + 0*l**2 + 0 - 2\/15*l**6 + 0*l**3 - 1\/4*l**5 + 3*l - 1\/6*l**4. Find c, given that s(c) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 509162502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. Let w be o\/5*(-10)\/(-18). Let r(f) = -2*f + 9. Let k be r(3). Which is the second biggest value? (a) k (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bceb8 (base 15) in base 2?\nAnswer: -10010010101001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/6*(3 + -6 - -5). Solve -q + 11 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 14 + 2. Let x(p) = -9*p**2 - 11*p. Let u(d) = 3*d**2 + 4*d. Let w(r) = 5*r**2 + 7*r. Let f(q) = -7*u(q) + 3*w(q). What is z*f(i) - 5*x(i)?\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15409632 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361 + 21 = -5*k. Suppose 0 = -3*z + 23 - k. Let c be (0 - 17)\/1 + 1. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (15 + -27 + 6) - (100 + (2 - -5))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34461383200.7 less than 0.1?\nAnswer: -34461383200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 3. Let x be h(-1). Solve -x*u + 1 = -3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 - (11 - (138 - 9)) - (22 - -1)?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 103.7. Let m = 17.604858 - 120.605047. Let j = o - m. What is j rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1349\/5 - -269. Is t less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(1584\/(-972)))\/(6\/(-4)*(-2)\/(-3)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84165?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let a(h) = -2. Let x(r) = 2. Let z(n) = 3*a(n) + 4*x(n). Let t(k) = 5*y(k) - z(k). Let p(o) = 2*o + 1 - 2 + 2*o. Give -3*p(q) + 2*t(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 7*l**2. Let p be j(-7). Suppose p*h = -h + 5. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 3:22 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2))**29*l**(-2\/37)\/l**8)**(-22) assuming l is positive.\nAnswer: l**(53768\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k - 119156 + 238289 - 119132.\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-180) - (-6)\/(-54)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -78*a**2 - 8*a**2 - 89*a**2 + 2*a**2 - a + a + (1 + 3 - 2)*(2*a**2 - 2*a + 2*a).\nAnswer: -169*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 82166060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 3:49 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -334856027790 - 4.\nAnswer: -334856027794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 32*j**2 + 294*j - 22. Give n(-9).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 24 = -3*r. Let q = -550 - -6571\/12. Find the common denominator of q and 8\/16 + (-86)\/r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.5, -2\/23, -16?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23499221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 q when four letters picked without replacement from edqedqaxqxqxqde.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 588 and 12?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hurhhuthuhuhrhth. Give prob of sequence ur.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, -3, -3.45333, -1, 0.1 in descending order.\nAnswer: 7\/4, 0.1, -1, -3, -3.45333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 25*v**2 - 15*v - 260. Calculate the least common multiple of j(26) and 18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 898*g - 378*g - 546*g.\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -12) + -5 - -12. Suppose -2*k + 0*k + 14 = 2*i, -4*k = i - h. Solve 0 = j - 0 - i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111110 - 100100101?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -31*t**5\/20 + t**4\/12 - 7*t**3\/6 - t - 6. What is the third derivative of z(f) wrt f?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 246*f**3.\nAnswer: -246*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7229 is divided by 3614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*p**3*s + 2*p**3 - 42080*p**2 - 271*s wrt s.\nAnswer: -10*p**3 - 271","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769411956?\nAnswer: 2, 3, 64117663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*i - 41*i + 13*i**3)*(-5*i + 3*i + 4*i) + (-2*i**3 + 5*i**3 - 2*i**3)*(5*i + 4*i - i).\nAnswer: 34*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.97894 less than 0.0806?\nAnswer: 37.05954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/5 - 2*p**2\/5 + 34*p\/5 - 6.\nAnswer: -2*(p - 3)*(p - 1)*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 5:47 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02213 times 16?\nAnswer: 0.35408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -20*k - 4. Let d be o(2). Let r be d\/(-7) + (-5 - (-33)\/7). Let j be ((-198)\/12)\/11*(-8)\/r. Solve 4*s - j*s = -6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 634936949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 53*i = 9*i + 20*i - 174 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2758, 3842, 4928, 6016, 7106?\nAnswer: 8198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*k**3 + 80*k**2.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13*(5\/(-5))\/1. Let q(s) = -s**2 + 5*s + 6. Let x be q(-4). Let k = g - x. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 845 - 589. Suppose d - 55 = 4*k, -4*k = -4*d - 0*k + a. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f - 25 = 0, 5*j = 2*f + 110. Calculate the highest common divisor of j and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/47)\/(y**(10\/3)*y))\/(y**(-24)\/y*y\/((y\/y**(-39))\/y)) assuming y is positive.\nAnswer: y**(8266\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 70405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*s**3 + (2*s**2 - 3*s**2 - s**2)*(4 - 4 + 2*s) + s**3 - s**3 + s**3 + (33*s**3 - 131*s**3 + 55*s**3)*(3 + 0 - 1).\nAnswer: -91*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2\/(x\/(x\/(x\/(x\/((x**(-13\/4)*x)\/x))))) assuming x is positive.\nAnswer: x**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 66 = 10*y. Let j be (-15)\/6*(-8)\/(-130). Which is the closest to -3\/10? (a) y (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446423 is divided by 5312?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yudo when four letters picked without replacement from {o: 1, d: 1, s: 3, y: 4, t: 1, u: 6}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4320)\/(-2592)*18\/(-70)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -30*b**2 - 3*b + 2. Let k(n) = -n**2 + n - 1. Let s be (39440\/(-24012) - (-10)\/18) + (-6)\/(-69). Calculate s*i(o) - 2*k(o).\nAnswer: 32*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 339 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 10202. Let h(i) = 560*i. Calculate b(h(y)).\nAnswer: -560*y + 10202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 - 6*f**2 - 8*f - 3. Let w be 49\/14 + (-33)\/2. Let l(c) = 4*c**3 + 13*c**2 + 17*c + 7. Suppose -p = 4*p + 30. Determine p*l(t) + w*o(t).\nAnswer: 2*t**3 + 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 3. Suppose 4*w - 262 = -5*a - 0*w, -a + 52 = w. Let y = -54 + a. Solve y = 4*k + z - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -101 + 24?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1864822 + 1864701.9941. Let j = w - -120. What is j rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(99) + 3 + sqrt(11) - (2 + sqrt(33)\/sqrt(3))) + 5)**2.\nAnswer: 48*sqrt(11) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkpfnnq. What is prob of sequence pk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.08, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 - 5*l**3\/3 - l**2\/2 - l. Suppose u - 40 = 6*u. Is f(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 529 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 6. Let k(p) = -3*p - 5. Determine -6*k(j) + 5*z(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.751 rounded to one dp?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1 = -z, -3*d + 8 = 14. Let o(l) = -21*l**2 + 3. Let v(k) = -10*k**2 + 1. What is z*o(m) + 7*v(m)?\nAnswer: -7*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1083797523 to the nearest integer?\nAnswer: 32921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 27 + 2 - 5 + 5 + 1 - 1 + 1 + (-4 + 1 + 4)*(-1 + 4 - 1) + 0 + 1 + 1)*(-j - 2 + 2) as p + r*j and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 15*p**2 + 24*p. Let m(y) = -16*y**2 - 8*y. Let h(b) = 3*m(b) + v(b). Let r(k) be the first derivative of 4*k**3\/3 + 2. Give r(h(t)).\nAnswer: 4356*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-36))\/(2\/(-6)). Let l(k) = 23*k + 1. Is l(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 + 0 + (-85)\/15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23167148.\nAnswer: 2, 53, 109279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -229*n**2*w**3 - 3*n**2 - 12*n*w**4 - 27*n + 1 wrt w?\nAnswer: -687*n**2*w**2 - 48*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 5*p**2 - 20*p - 2. Let t be k(-8). Calculate the common denominator of t\/36*-21 + -6 + 1 and -83\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -585.03 + 593. Let t = c + -8. Round t to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 57*j + 11*j**2 - 9*j**2)*(-10 - 3*j + j + 8).\nAnswer: 4*j**3 - 110*j**2 - 114*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(45))**2)*-5.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1\/24*n**4 + 0*n**3 + 0 + 0*n - n**2. Let p(v) = 7*v**2. Determine p(z(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 9*m - 59802. Let a(l) = 11*l + 3. Determine a(j(i)).\nAnswer: 11*i**2 + 99*i - 657819","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 18, 29?\n\"Answer: 11*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/11)*b*b*b*b*b*b**(-5)*b*b*b)\/((b**(-4\/7)*b)\/(b\/b**(-2\/7)*b)))**(-2\/43) assuming b is positive.\nAnswer: b**(-776\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -3, -16, 3 in decreasing order.\nAnswer: 6, 4, 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1787*t**2 + 1769*t**2 - 3556*t**2 - 95*t**3 + 107*t**3.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98258 is divided by 847.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:58 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2254411 and -0.026?\nAnswer: 58614.686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3575*b**2 + 2*b**4 + 24*b + 22 + 0*b**5 - 2*b**5 + 171*b**2 + b**5 + 23 wrt b?\nAnswer: -20*b**3 + 24*b**2 - 6808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4. Let l be 0\/((0 - -4)\/i). Suppose -2*w + 32 = -l*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -86 in 1.9, -685, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13387211?\nAnswer: 17, 787483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 403100.6ng?\nAnswer: 0.0000004031006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212703 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3630\/16720)\/((-6)\/20). Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31806 and 194184?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46 + (-3)\/(-4) + 72\/32. Suppose 1 + v = 10*b. Solve -4*f + b*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11202 (base 4) in base 3?\nAnswer: -111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 66. What is the remainder when y is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**3 + 140 + 6*l - 263 - 2460*l**2 + 143 + 2461*l**2 to the form j + c*l**3 + i*l + y*l**2 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 146236 + -210?\nAnswer: 146026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 1:57 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/39286 and 49\/176787?\nAnswer: 353574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**4\/6 - 425*p**3\/3 - 150001*p**2\/6 + 425*p\/3 + 25000 = 0?\nAnswer: -150, -1, 1, 1000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 33 = 3. Suppose -7 = 5*c - 3*q, u = -5*c - 3*q - 7. Find the common denominator of -9\/22 and -9*(63\/(-30) - c).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/299820 and 39\/8135116?\nAnswer: 122026740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 - 4555*y + 155760 = 0?\nAnswer: -944, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 861*u**5\/20 - 185*u**4\/3 + 80*u. Find the third derivative of v(c) wrt c.\nAnswer: 5166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*87\/66 - -2. Let h be (2\/(-8))\/(1\/(-14)). Let r = n - h. Are 1 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -361123 (base 8) to base 10.\nAnswer: -123475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220 and 25432?\nAnswer: 127160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4046 + 1308?\nAnswer: 5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - b**2 - 3*b - 8. Let c be 4\/((-5 - 0) + 3). Let u be i(c). Let o(s) = -s**3 - 5*s**2 - 5*s. Let z be o(-4). Solve -z*p - 2 = u for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 91\/(-77) - (-2)\/11. What is the common denominator of -67\/9 and c\/14*(-6 - -88)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -7) + (2 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26628 + -26346. What is the greatest common divisor of 752 and d?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/108)\/((-48)\/324)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1582 - 1580. Let o = 8 - 21. Which is the closest to o? (a) y (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229 + -229.1. Which is the nearest to r? (a) -0.5 (b) -3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -54*a**3 + 29 - a**2 + 41*a**3 + 12*a**3 - 30. Let g(o) = 6*o**3 + 4*o**2 + 5. What is -g(x) - 4*n(x)?\nAnswer: -2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -76. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 1:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1299*z**5 - 7878*z**2 - 69546969*z wrt z.\nAnswer: 25980*z**3 - 15756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-0.1.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + ((sqrt(528)*2*5)\/(sqrt(44)*-2))**2).\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39036.928 from 3.\nAnswer: -39033.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t + 0*t + 3*t)*(0*t + 0*t - 2*t) + (1 - 2*t - 1)*(-2*t + 0*t + 5*t))*(2 - 1 - 2)*(6 - 2 + 4).\nAnswer: 64*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2032 - -2047. Suppose 0 = -7*s + 2*s - 120. Let z = k - s. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 5*l - 12771, -2*s - l + 6391 = -4*l. Suppose 0 = 8*k - 6*k - s. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -648.8212 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1828*g**4 - 31 wrt g.\nAnswer: 7312*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 281993.153 rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 4*f**2 + f - 3. Suppose -7 = -5*l + 8. Suppose -2*y + 3*w = -6, y + 4 = -l*y + 2*w. Let z be k(y). Solve -2 = z*v - 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -16, -15 in descending order.\nAnswer: 0, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -2\/11 (c) -2\/9 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + a = 5, -549*m + 3*a = -551*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 245, 2809, 9981, 24065, 47365?\n\"Answer: 384*o**3 - 124*o - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 26*g**2 + 30*g - 9. Determine a(25).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1221*j + 1224*j - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -4, -182, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23704 + 53819. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(539) + -2) + sqrt(539) - sqrt(539)) + sqrt(539) + (sqrt(539) - sqrt(539)*1*5)**2 + 0.\nAnswer: 8626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -3 (c) 0.013 (d) 19 (e) -0.068 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 153090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -44830772.\nAnswer: -3\/11207693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -8 + -1 + -1 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2595429527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63453*g**3 - 114240*g**3 - 204810*g**3.\nAnswer: -255597*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12862, -12912, -12962, -13012?\n\"Answer: -50*s - 12812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 8a3138?\nAnswer: 8a3138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = 5*p. Let a(c) = -c**3 + 3*c**2 + 2*c - 4. Let b be a(3). Solve -b*m = -4*m - p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-207) - 1268\/(-29164).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, c: 2, i: 1, a: 6}. What is prob of sequence eiee?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 859 a factor of 9451821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -237700 rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/398100 and 103\/437910.\nAnswer: 4379100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 581764700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192002?\nAnswer: 2, 96001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 d when three letters picked without replacement from {d: 2, o: 1, u: 1, x: 3, n: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-6)\/(-12)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 5, 40910, 0.5, -3\/4, -0.5?\nAnswer: 40910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j = 91*j + 72 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 735?\nAnswer: 72c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 y, and 1 w when three letters picked without replacement from uucuykccckuccwcy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 300487 and -3?\nAnswer: 300490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058166057 to the power of 1\/2, to the nearest integer?\nAnswer: 55301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 2*z - 10, -30*n + 60 = 4*z - 2 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/20 + 7*w**4\/12 - 2*w**3\/3 - 3*w**2 + 8*w. Suppose 3*o + 2*o + 5 = 0, 2*x + 3*o = 7. List the prime factors of y(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**7\/21 + 14*u**6\/3 - 816*u**5\/5 + 6313*u**4\/3 + 1633*u**3\/3 - 12696*u**2 - 7*u + 201. Suppose s(g) = 0. Calculate g.\nAnswer: -1, 1, 23, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) -144\/13 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 18, -3.5, 581, 0.01?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2\/(h*h**(-5))*(h**(-2))**43)**(17\/6) assuming h is positive.\nAnswer: h**(-680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4020180 by -6.\nAnswer: -670030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 3*r - 7, 2*c + 8*r - 95 + 91 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671117507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 divided by -66.\nAnswer: -23\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148781783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(b + 3*b - 2*b)*(6 - 44 + 538) in the form y*b + s and give y.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 237, 775, 1669, 2919?\n\"Answer: 178*p**2 + 4*p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -5 - (76 - 37)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n + 4. Let u be z(-3). Let i = -12 + 8. Let l be (i - -1 - 0) + -2. Sort -4, u, l in descending order.\nAnswer: u, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 41?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/7 + 76*f**4\/7 - 158*f**3\/7 + 80*f**2\/7.\nAnswer: 2*f**2*(f - 1)**2*(f + 40)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376.000003699 - 376. Round x to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - v - 3*v)*(-3 - 5 + 14*v**2 + 6) to the form q + t*v**3 + x*v + k*v**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 15*a + 2, -3*a + 12775 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(475) - (-2 + sqrt(475)*-1 - sqrt(475))**2) + (-1 + sqrt(475) - sqrt(475))*3.\nAnswer: -1909 - 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*c + 82. Suppose -2*z = 3*o - 14 - 8, 4*o = -5*z + c. Let v = -4 + o. Solve -2*b + 0 + 6 = v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -27. Which is the third biggest value? (a) -1\/10 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - 5*(1*sqrt(180) + sqrt(180)))\/((sqrt(6) + 3*sqrt(6))*5))\/((4*-1*sqrt(66) - sqrt(66))\/(sqrt(1331)*-1)).\nAnswer: -99*sqrt(5)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 0)*(-38*q**5 + 17*q**5 - 293*q**5).\nAnswer: 2198*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 smaller than 2\/166969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8241791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 12*m + 10. Let o be b(-9). Suppose j - 3*l - 54 = -0*l, -5*j - 5*l + 170 = 0. Let s = j - o. Solve -n = s + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + 7*p**2 + 0*p - 3*p**2 - 5 + 0*p. Let s(v) = -v**3 + v**2 - 1. Let d(o) = l(o) - 6*s(o). Calculate d(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(3 - -3) - 4. Let f be (-2)\/5*(o - 9). Which is the second biggest value? (a) -0.4 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34417034?\nAnswer: 2, 53, 324689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + a + 6*a + (-679*a - 127*a - 149*a + 162*a)*(0 - 2 + 1) in the form j*a + u and give j.\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 9:31 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -484*j**2 - 3*j + 62. Let z(i) = -i**2 + i - 4. Let m(k) = t(k) + 3*z(k). What is the derivative of m(r) wrt r?\nAnswer: -974*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35642405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z*z*z\/(z*z\/(z**(-3)\/z))*(z\/z**0)**(-36) assuming z is positive.\nAnswer: z**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -85 and -0.2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/36)\/((-9)\/108). Sort -3, 2, -2, 5, c.\nAnswer: -3, -2, 2, 5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 2090739?\nAnswer: 2090736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 332 - 330. Suppose 10563 = 19*z + b*z. Does 52 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of j**5\/540 + 11*j**4\/216 + j**3\/3 - 7835*j**2. Factor l(x).\nAnswer: (x + 2)*(x + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -7.1. Let a = w + -46. Let u = a - -42.0023. What is u rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72721*y - 72368*y - 31064 = 0 for y.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 - -30. Let w = -2 + 1. Which is greater: n or w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, x: 3, m: 2}. Give prob of picking 1 k and 1 m.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6405 or -6496?\nAnswer: -6405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 6157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from jpjsjpejjpsps?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24843350?\nAnswer: 2, 5, 7, 70981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 78\/(-12))*-2. Is 4\/26*r - (-245352)\/104 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 5, p: 3, v: 1, s: 1, d: 1}. Give prob of picking 1 b and 1 v.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 118?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1751 + -1236. What are the prime factors of i?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*y, 3*j - 7*j - y + 28 = 0. Let u be -3 + 2 + 8\/j. Is u < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 5. Let n(a) = a - 5. Let m be n(10). Let q(x) = -2*x + 12. Determine m*q(s) + 12*k(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -103*k**3 + 20*k - 12. Is d(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (609\/87)\/(-5*(-63)\/900)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77849?\nAnswer: 77849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55163 divided by -1.\nAnswer: -55163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + 67.1. Let k = z - 156. Let n = k - 9. Is n smaller than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 332 and 6268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 155200 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + sqrt(156)*5*-6 + -4*sqrt(156)*6)\/(5*sqrt(96)\/(4*sqrt(8))*6).\nAnswer: -106*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 19, 34, 49, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = 2444*h - 2449*h - 4*f, -4*f - 31 = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 17*g - 130. Give l(-7).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (14565\/35 - (-3)\/(-21)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 1501 - 353. Let z = v + -143. Let a = -54 - z. Solve -2*c + 3*d = c - 3, -2*d + a = -5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - -23.95.\nAnswer: 31.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 + 2100022111110?\nAnswer: 2100022111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126318099 a multiple of 908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*(-10*w - 7*w + 16*w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -523697.\nAnswer: -3\/523697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 865713292, 1731426585, 2597139878?\n\"Answer: 865713293*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 + 18*w - 4*w**3 + 87*w**2 - 6*w**3 + 5*w**3.\nAnswer: -5*w**3 + 87*w**2 + 18*w - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.282 - 0.452. What is j rounded to 1 dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.9 * -2\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -782*c**3 + 4*c**2 + c + 20227 wrt c?\nAnswer: -4692*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21628 + -12026. Does 60 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11206*w**3 - 22402*w**3 + 11203*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)*i\/(i\/(i*(i*i**(-7)\/i*i*i)\/i))*i)**(-9)\/((i**(-1\/14)*i)\/(i*i\/(i\/i**6)*i)*i*i\/(i*i*(i*i**2*i*i)\/i)*i*i\/i**5) assuming i is positive.\nAnswer: i**(1583\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122888.\nAnswer: 2, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -123 times -6408\nAnswer: 788184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128424166 to the nearest integer?\nAnswer: 11332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j + 4 = 51*g - 58*g, -3*j + 4 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3170*c. Let r(d) = d. Calculate r(f(u)).\nAnswer: -3170*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39526373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2299)*2*6 - (-1 + (-1 + sqrt(2299) - sqrt(2299))))**2 + -5 + 2).\nAnswer: -1324228 - 2112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -8 + (-10 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370566 times 1?\nAnswer: -1370566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y**3 + 5*y**2 + 5*y + 5. Let c(h) = -4*h**3 - 4*h**2 - 4*h - 4. Determine 5*c(o) + 4*i(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, 4 in ascending order.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -17. What is the lowest common multiple of 158 and i?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 31*t. Let l(i) = 3440*i. Calculate l(r(p)).\nAnswer: 106640*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**2 - 3. What are the prime factors of t(4)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**3 + 34*u**2 + 5*u + 14. Let i be o(-11). Suppose i + 100 = -4*r + d, d = 0. Sort 2, -3, r.\nAnswer: r, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 172723 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*d + 33 = -5*d, 5*d + 13 = 2*w. Let j = w + -7. What is the second derivative of 0*v**3 - v**3 - 2*v**3 + j*v + v**3 wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1, -5*i - 3*g + 24 - 1 = 0. What is the least common multiple of i and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*h - 2 - 1, 4 = 4*c + 5*h. Let j be (38\/(-8) + 1)*c\/(-3). Is 1 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 33*j = -30*j + 1024 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -286, -346, -408, -472, -538, -606?\n\"Answer: -n**2 - 57*n - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 7 = -5*j, -13*j = -14*j - 3*q + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.19 + -24061.389962.\nAnswer: -24061.199962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736, 557, 268, -125, -616, -1199, -1868, -2617?\nAnswer: -3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*r**3*y**3 + p*r - 47*r**3*y**2 + 2*r**3 - 330*r*y - y**3 wrt y?\nAnswer: 12*p*r**3*y - 94*r**3 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c + 7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q + 17. Let m be c(5). Let p = m + 96. Let i = 7 - 3. Solve -32 = -i*j - 3*n, -5*j = -n - p - 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*g - 88*g + 147*g + 180 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 4, 37, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, t: 2, m: 7}. What is prob of sequence pp?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -19. Suppose 5*f = 2*z - z - r, 4*f + 20 = -3*z. Find the common denominator of (f\/(-3))\/(40\/714) and -1\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2\/3 + 655*r\/3 - 650\/3 = 0. What is r?\nAnswer: 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -135*r - 510. What is l(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + 223 + -126 + (0 - (1 + -18)) + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*x + 341, 0*z - 331 = -3*x - z. Let g = x + 18. Calculate the remainder when g is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**8\/112 - 2*q**5\/15 - 29*q**4\/24 - q**3\/3 - 5*q**2. Find the second derivative of s(r) wrt r.\nAnswer: 60*r**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203815, -203812, -203809, -203806, -203803, -203800?\nAnswer: -203797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -752626 or -752630?\nAnswer: -752630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 24254*b. Let h(i) = 481*i. Give t(h(n)).\nAnswer: 11666174*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9239 - 9238.9. Which is the third biggest value? (a) -4 (b) -1 (c) -0.524 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.452414526 - -107.452419726. Let d = -107 + z. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 - 3*j**3 - 97 + 156.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + z + 6. Let s be z - -1 - -143 - -4. Find the second derivative of -8*t - 148*t**5 + 4*t**2 + s*t**5 - 4*t**2 wrt t.\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10*w - 3*r + 7 = 0, -4*w - 4*r + 4 = 0. Find the third derivative of 90*i**4 - 2*i - 237*i**4 + 88*i**4 + 4*i**2 + 74*i**w wrt i.\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.722763 rounded to 2 decimal places?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -857\/5 + 172. Which is the closest to 0.1? (a) -0.5 (b) -5 (c) 1\/12 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 632*v**2 - 2808*v + 6. Give r(4).\nAnswer: -1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = -3*s, 4 = -2*v + s + 9. Suppose -3*d + l + 3 = 1, -v = -l. Let a(x) = -x**2 + 6*x - 1. Let u be a(6). Sort 4, d, u in ascending order.\nAnswer: u, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1942815 is divided by 826.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/8*p**3 + 0 + 0*p + 3\/4*p**2.\nAnswer: -3*p**2*(3*p - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 l when three letters picked without replacement from {l: 7, b: 6}.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*s**2 - i**3*s - i**2*s**2 - 87723335*i**2*s - 25562*i*s**2 wrt s?\nAnswer: 8*i**3 - 2*i**2 - 51124*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z + 40. Let o be c(-12). Suppose -4*l - 4*y = -o, -5*l - 10 = -9*l + 2*y. Suppose -4*k + 10 = 2. What is the remainder when l is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 816915.4 years to millennia.\nAnswer: 816.9154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.95406752 + 12?\nAnswer: 17.95406752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {v: 7, o: 2, p: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001511325504 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, 26363, -5 in decreasing order.\nAnswer: 26363, 53, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 17190.\nAnswer: 154710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 4*c**2 - 7*c + 6. Let a be 12\/((45\/6)\/(-5)). Let r = a - -12. Let b be -1 + r*(-3)\/(-2). What is o(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -618500139768561 - -618499868167109.000073. Let i = 271601334 + t. Let q = 118 + i. Round q to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + q**3 + q**2 - 1 + 583*q - 1 - 585*q to the form n + j*q + h*q**3 + m*q**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -273 - -233.4. Round b to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58370617 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 14*s - 2*r = 2254, 0 = -5*s + 4*r + 3760. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 56615.\nAnswer: 4\/56615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.2 - 1.9. Suppose 2*t = 7*t. What is the second smallest value in s, t, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29173, 58347, 87521, 116695, 145869, 175043?\n\"Answer: 29174*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 4*x - 2*x)*(3 - 2 - 3) + 39*x + 2*x + 32*x.\nAnswer: 77*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -66*n**3 - 2*n**2 - 2*n - 1. Is z(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 + -2. Suppose d - 36 = -2*d. Suppose -2*z = -d - w. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84 and 20860.\nAnswer: 62580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17760.1 - -14013. Round z to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5185*q = -5186*q - 2*k - 5, -5*q + 17 = -4*k for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.51288 years in months?\nAnswer: 102.15456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - n - 1. Let u(q) be the second derivative of -7*q**4\/12 - q**3 - 7*q**2\/2 + 10*q. What is 6*a(z) - u(z)?\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-3) - (-36486)\/54 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 157575.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-2)*(-3020)\/151?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2808*b**2 + 78*b - 4622. Let y(g) = -937*g**2 - 28*g + 1541. Let v(f) = 5*c(f) + 14*y(f). Find the first derivative of v(r) wrt r.\nAnswer: 1844*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j. Let u(k) = -k**3 - 4*k**2 - 6*k - 5. Let f be u(-4). Suppose -f = -5*r - 4. Let m(z) = -5*z + 1. Give r*d(l) - 2*m(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10*49189*3\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*j + 564, -5*k + 5*j + 712 = -2123. Solve 575*w + 10 = k*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2. Let h be m(0). Suppose -5*w = -5*p - 25, -w - 1 = 1. Let s = p + 6. Is s bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1690 - -18578\/11. Let n = -82\/55 - p. What is the nearest to 1\/3 in -5, n, 12?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-24))\/((-10)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -122, -28, 66, 160?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*d = -2131, -d = -10*l + 14*l - 1706. Let s = -420 + l. Let w be (-3)\/(-3)*0\/2. Solve 5*g - s + 2 = w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-35)\/84*-1*(-3)\/30.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25, 288, 903, 1826, 3063, 4620, 6503, 8718?\n\"Answer: m**3 + 145*m**2 - 129*m - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*h - 2307 = 0, -5*h = f + 719 - 1869. Suppose -17*y - 84 = -f. Suppose 21 = -0*j + j. Calculate the greatest common factor of j and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9)\/s)\/s*s*s)\/(s\/(s\/s**(1\/9)))*s\/s**(1\/2)*s**(-7)\/s assuming s is positive.\nAnswer: s**(-299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 22*f**3 - 27*f**2 - 47*f + 54. Let a(p) = 5*p**3 - 7*p**2 - 12*p + 15. Let w(x) = -9*a(x) + 2*h(x). What is w(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294485.01 months in years?\nAnswer: 24540.4175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 3:39 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 165 - 157. Suppose -2*q - w*v = -9*v - 8, -22 = -3*q + 4*v. Solve -4*g - 14 = q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -479187, -958369, -1437551, -1916733, -2395915?\nAnswer: -2875097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -4. Suppose -j - 154*q = -159*q - 87, 4*j = -3*q + 348. What is the remainder when j is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.4 in -3, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/360 and -17\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20954 divided by 14?\nAnswer: 10477\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1731*i = -1091*i - 892*i + 20916 for i.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -4*k**7\/315 - 2*k**6\/27 - 5*k**5\/36 - 143*k**3\/6 + 61*k**2 + 2. Let m(a) be the first derivative of p(a). Factor m(x).\nAnswer: -2*x*(4*x + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 761 - 444. Suppose 3*w + d - q = 0, -d = -0 + 1. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, -2984, -8 in increasing order.\nAnswer: -2984, -8, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5769187, -5769162, -5769121, -5769064, -5768991, -5768902, -5768797?\nAnswer: -5768676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + v**2 + v - 2. Let y(z) = 38*z**3 + 4*z**2 + 9*z - 108. Let n(p) = 6*j(p) - y(p). Find the second derivative of n(m) wrt m.\nAnswer: -156*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -412 and 2.28.\nAnswer: -409.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clckekkzkmcl. What is prob of sequence lc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*l - 1842 = 198*l + 1118 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 35 + 69 = 0. Suppose -7*j = -w*j + 3710. List the prime factors of j.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -16, -2*z = -c + 2*z + 211. What are the prime factors of c?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m - 1. Let n = 1599 + -1589. Calculate the remainder when n is divided by k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -6.464383\nAnswer: -5.8179447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - 1 - (-4 + -21). Suppose -2*j = -m - 30. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 5, 3, 4 in decreasing order.\nAnswer: 61, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*f**3 + 24*c**2*f**2 - 162*f**3 + 5 wrt c?\nAnswer: -2*c*f**3 + 48*c*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 4) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/297 and -80\/189.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18515 - -18515. Sort 4, -1, 2, -11, w.\nAnswer: -11, -1, w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 - (1 - 0)\/1. Suppose n + 34 - 6 = -p, -4*p + 80 = -4*n. Let z = n + 22. Sort z, l, 3 in increasing order.\nAnswer: l, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**6\/900 + 2*h**5\/225 - h**4\/36 + 2*h**3\/45 - 15*h**2. Factor c(x).\nAnswer: -2*(x - 2)*(x - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5733325 - -0.5?\nAnswer: 5733325.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*(8 - (-91)\/52) + -6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22175.39ml in litres?\nAnswer: 22.17539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**3\/3 + 12*t**2 + t. Let x be r(15). Let d = -0.3 + 0.4. Is x less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w. Let j(a) = a**3 - 7*a**2 + 3*a - 10. Let d be j(7). Let s be l(d). What is the highest common divisor of 88 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 8:46 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - h**2 - h - 1. Let p(l) = 4*l**3 + 4*l**2 + 4*l + 3. Let m(t) = t**2 - 4*t + 6. Let o = 43 + -41. Let i be m(o). Give i*p(k) + 6*g(k).\nAnswer: 2*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22246 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20295 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)\/a)**(42\/11)*(a\/a**(-4))\/(a*(a*a*a**(2\/7))\/a) assuming a is positive.\nAnswer: a**(-719\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.23? (a) 3 (b) -17\/3 (c) 0.2 (d) -3\/4 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 174*w + 7543. What is x(93)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -86.8 - -87. Let p = -0.017 + -0.283. Sort r, p, 3.\nAnswer: p, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -99, -133?\n\"Answer: -34*z - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*x = -344, 0*x = 3*x + 3. Calculate the remainder when 402 is divided by z.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168822094 to the power of 1\/2, to the nearest integer?\nAnswer: 12993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/((o**(-3)\/o)\/o*o))**(1\/59)*o**(3\/5)\/(o**(-12)*o) assuming o is positive.\nAnswer: o**(3452\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 13 = 3. Suppose a*m + 0*m = 40. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 2*o**2 - 4*o + 2. Let f be v(2). Let u(l) be the first derivative of 21\/4*l**4 + 6*l**2 + 0*l - 27\/5*l**5 + 20*l**3 - f. Factor u(d).\nAnswer: -3*d*(d - 2)*(d + 1)*(9*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6282 and 59\/332946?\nAnswer: 332946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.031 less than 1?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3))**(-2\/161) assuming i is positive.\nAnswer: i**(2\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7754829 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1032 > 20\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (100\/825)\/((-8)\/18)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1501067553 and -5.\nAnswer: 7505337765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 13 = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2471c0 (base 14) to base 13.\nAnswer: 3495b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212 - -1372. Let w(z) = -578*z - 579*z + i*z. Let g(k) = k**3 + 3*k**2 - 2. Let u be g(-2). What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53408 and 232.\nAnswer: 1548832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 - -162. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 29047*u - 435930.\nAnswer: (u - 29062)*(u + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31295136 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362636, 362633, 362630, 362627?\nAnswer: 362624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(-240) + 493\/(-3944)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 3052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by -55?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -142, -150, -158?\n\"Answer: -8*m - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-150)\/(-20)*(-1 + 5). Suppose 4*o = 58 + n. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/364 and -41\/753018.\nAnswer: 19578468","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 38 + 7. Suppose -3*y - y + 4 = 0. Suppose 2*l - r = y. Solve -20 = l*b - 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 3*c - 24 = r, -23 = -r + 5*c. Let w = 12 - r. Suppose -n + 4 = w, 22 = -3*l - 5*n. What is the highest common divisor of l and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2\/(((-44)\/(-8))\/11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5236 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 18606523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5754721, 5754760, 5754799?\nAnswer: 5754838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1452 + 421532?\nAnswer: 420040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6988*a - 112347 + 56380 - 97769 = 0 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, y: 6}. What is prob of picking 1 y and 3 s?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -394128 by 5712.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.79*-0.287.\nAnswer: 0.80073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-15 - (-25 + 22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 + 3*l - 4. Let q be c(-3). Suppose -2*x = o - 9, -2*x - q*o + 23 = -3*x. Solve b - x*p + 14 = -0*b, -3*p + 19 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 3. Let l be g(-1). Suppose 2*n + 1 = 9. What is the third derivative of l*t**4 - 5*t**n - t**2 - t**2 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -4, 4.\nAnswer: -73, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 0 + -9 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 183167?\nAnswer: -183167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.784194 take away 10882.19?\nAnswer: -10911.974194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 a when three letters picked without replacement from {g: 1, a: 5, w: 7, h: 2, l: 3}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - g - 1. Suppose -13*v = -4*v. Let n be -11 + 10 - v*1\/(-2). What is h(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67*m - 26 + 63 - 34)*(2 - 2*m + m + 0).\nAnswer: -67*m**2 + 131*m + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395*c - 15*c**2 - 116880 + 116880 - 395*c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (4752\/(-540) + 4\/5). Solve 0 = 2*q - k*d - 12, -8 = 5*d - d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 + 22*u**2 - 22*u - 9. Let p be o(6). Solve 5*v = p - 33 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14809.6548 - -14726.7. Let r = -83 - p. What is r rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (399\/12540)\/((-10)\/25)*2\/(-7)?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 38, 0.1, -20, 0.2, -3, -0.01?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 1. Let o be 228\/i*2\/(-3). Suppose -4*y - o = 1, -2070 = -4*g - 2*y. Round g to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 7, d: 3, t: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-186)*430\/4 - 7\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470.379 millilitres to litres.\nAnswer: 2.470379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6856789523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -13415 smaller than -13415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbjbjuj. What is prob of sequence jjb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -3495, -6377, -10035, -14463, -19655, -25605, -32307?\nAnswer: -39755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.3 + -39. Let p be (9\/4)\/3*2. What is the biggest value in 2, y, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 43 + 73 = 0. Let z = y + 93. Let r = z + -54. Solve -1 = 3*c - r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i. Let n(w) = -8*w + 4. Calculate k(n(g)).\nAnswer: 24*g - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -596, -769, -944, -1121?\n\"Answer: -g**2 - 170*g - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + f = 5, 11 = 3*s - 4*f for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1060, 4271, 9630, 17143, 26816, 38655, 52666, 68855?\nAnswer: 87228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 + 2*w**3 + 4*w**2 - 5*w - 8. Is 2 a factor of o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -286812 - -286814. Let l = -55 - -101. What is the highest common factor of c and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/79 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*t - 16633 = 906*t + 12979 for t.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 111. Let f be z(33). Suppose -3*n + 3*o = -f, 0*o - 10 = -n + 4*o. Solve 15 = 3*m + n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 232 = -50. Let s be w\/(-26) + (-1)\/(-2). Suppose 2*g - 6 = -5*u + 4*g, 2 = -s*u + 5*g. Solve 3*r + u*z - 5 = z, -2*z = -4*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.590929 nanometers to kilometers.\nAnswer: 0.000000000009590929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Suppose 5*q = 15 - 0. Let g(h) = -7*h + 2. Let r(b) = 30*b - 10. Let w(f) = 4*g(f) + r(f). Let x be w(q). What is p(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011000101000001 - 1001010100?\nAnswer: -100011001110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-14)\/15)\/((-24)\/240))\/((-4)\/(-6))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*i + 13*i + 4*i)*(-37 + 5*i + 37)*(2*i + 4*i - 4*i) to f*i + c + k*i**3 + q*i**2 and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -831 - -5819\/7. What is the closest to 2\/63 in -3\/8, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6\/q*q*q**(-2\/5)\/q)\/(q\/((q**(-2\/47)\/q)\/q)*q**7*q))**(38\/7) assuming q is positive.\nAnswer: q**(-57532\/1645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 86173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 2*p. Let z be n(1). Suppose 112*u + 6*u - 3336 = -21*u. Sort -2, z, u, 5 in descending order.\nAnswer: u, 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -2 - (67 + -60 + -22).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 + 49 = -2*f. What is the smallest common multiple of 146 and f?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1*((-27)\/3)\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/262 and -46\/9.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*h + 73*h - 223*h + 275310 = 0. Calculate the greatest common divisor of 630 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 768 is divided by 147?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 297 - 296.7. What is the fourth biggest value in -2, i, 4, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 5, -202, 85 in decreasing order.\nAnswer: 85, 5, 0, -1, -202","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 288.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 - 84. What is the highest common factor of 18 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(8\/5))**(-1\/12))**(-14) assuming q is positive.\nAnswer: q**(-7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - -4)\/3 - -45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5*o = 3*o. Is o not equal to -1\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.52753 rounded to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 1\/((-2)\/(-6)). Let u be 4 + x + 1 + -2. Is 4 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5014333625 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13797031?\nAnswer: 13797031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/10 + 76*a**4\/3 + 5*a**3\/2 - 11*a**2 - a + 581. Find the second derivative of x(d) wrt d.\nAnswer: -12*d + 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/6 bigger than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 20 = 20*l. Suppose -l*v = 6*v - 22. Solve -v*t - 4 + 12 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40415471 is divided by 472.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let y be 8\/6*(-438)\/2336. Let x = -1\/4 + 9\/20. Sort x, p, y in descending order.\nAnswer: x, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17965*x**3 + 3*x**2 + 2*x + 5671.\nAnswer: 107790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.053?\nAnswer: -0.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25996 by -25.\nAnswer: -25996\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27 and ((-6279)\/(-3141) + -3 + 1)\/((-2184)\/14616).\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9354 + 411629\/44. Let l = k - 16\/11. Put -4, 18, l in decreasing order.\nAnswer: 18, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3*q + 5. Let s be f(4). Suppose 0 = 5*b - 20, -2*n - s = -4*b - 1. Suppose -3*v + 3*d = -18, -d = -0*v - n*v + 39. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13172 - -26345\/2. Which is the third smallest value? (a) o (b) 138\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7*c = 9*c - 8555, 4*w - c = 6831. Suppose -12145 - w = -6*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -1 (c) -8 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/5)\/((-108)\/120)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*14\/(-57) + 1. Let s = r - 73\/133. Let o(a) = 357*a - 1427. Let p be o(4). Is p < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 6:48 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -719, 28\/45, 64?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 3*k - 1. What is the units digit of z(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 6*w + 85. Determine l(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33686201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 3, b: 2, c: 1}. Give prob of picking 2 c and 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158614, 158610, 158606, 158602?\nAnswer: 158598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 82485266.\nAnswer: 82485265.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440062342?\nAnswer: 2, 2371, 92801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11652192 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 33, 49, 65?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((((sqrt(2736)*2*-2 - sqrt(2736))*-5 + (1*sqrt(2736) + 2 + sqrt(2736) - sqrt(2736))*1)*-5)**2 + 1).\nAnswer: 62400*sqrt(19) + 92477002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -35\/9 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7*i + 117 = 0. Let a = i - 25. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**5 + 24*m**4 + 48*m**3 - 280*m**2 - 300*m = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2035884213 to the power of 1\/2, to the nearest integer?\nAnswer: 45121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x + 4*b + 31 = 32*x, 22 = x - b. What is the remainder when 27 is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6737475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, 1, 4, 0, 0.5, 0.2, 66\/5 in increasing order.\nAnswer: -118, 0, 0.2, 0.5, 1, 4, 66\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 8867379 and 8867379 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 21*g**2 - 41*g**2 - 3*g**3 + 10 + 20*g**2 + 13*g**2. Let c(k) = k**3 - 2. Let o(i) = -15*c(i) - 3*j(i). What is the third derivative of o(u) wrt u?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/4 + 7*f**3\/4 + 3*f**2\/2 = 0?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5999 = 101*f - 108*f. Is 29 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15221 and 47201.\nAnswer: 718446421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and 131\/12150?\nAnswer: 12150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2040\/257, 0?\nAnswer: 2040\/257","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28801476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 4)\/((8 + -6)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 9 + 11*d + 32 - 13. Let i be r(-10). Suppose -n - 152 - 43 = i. Round n to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*l + 55, -t + 3*l - 6 + 32 = 0. Which is the third biggest value? (a) 1 (b) -1\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.846 + -1.012. What is g rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5. Suppose 9 = w + v, -3*v = 3*w - 2*w - 19. List the prime factors of n(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31 + 2231?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 100 - 7. Suppose k = f + 56, -2*k + 22 = -5*f - w. What are the prime factors of k?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 35*b**2 - 1. Let v(c) = -9*c. Determine v(n(f)).\nAnswer: -315*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/f**25*f)\/f))\/f)\/(f*f*f\/f**(1\/25))*(f*f*f**(-3))**4 assuming f is positive.\nAnswer: f**(426\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -v + 6*v. Let n(x) = -x**3 + 9*x**2 + 23*x + 17. Let t be n(v). Calculate the highest common factor of 252 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-86)\/(-5) + (-4)\/20. Suppose -6*g - 5 = -n. Let r = g + -2. Solve r*m + 6 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36113.3889 rounded to the nearest integer?\nAnswer: -36113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*k = -735*k + 20820 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45041460 to the nearest ten thousand.\nAnswer: 45040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**3 - 357*p**2 + 1175*p + 64. Give o(56).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2 + 0 + 4\/11*f + 18\/11*f**3 = 0. What is f?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16592.8 - 16593. Put 0.2, -0.4, -1983, s, 0.5 in decreasing order.\nAnswer: 0.5, 0.2, s, -0.4, -1983","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 104 + -228. Let w = -69 - z. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1695775?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 - 167. Let a be 90\/n - ((-95)\/(-20) - 5). Solve a*z - 12 = 2*i + 4, 2*i - 2 = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - -124. Let r = t + -176.7. Let v = -1.1 + 3.1. Which is the third smallest value? (a) 0.5 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -3) + (0 - 2). Suppose 3*x - 50 - 16 = c. Is x a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*k + 4 = 0, 4*p - 8 = -5*k - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/36 + 2030\/(-16). Let z = c + 127. What is the nearest to 1 in z, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120520 is divided by 19568?\nAnswer: 3112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61317 + 61320. Let s = 0 + 9. Suppose -2*n = 5 + 3, -p - 3*n = -s. Calculate the greatest common divisor of k and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -277135, -277095, -277029, -276937?\nAnswer: -276819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/154 and 103\/2750.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 20*c + 224 - 440 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*z - 2 = 0, 5*r + 0*z + 3*z + 3 = 0. Put -5, 3, r in descending order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222 (base 3) to base 2\nAnswer: 110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 31 = 2*n, 4*g - 126 - 48 = 2*n. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10ba (base 14) to base 4\nAnswer: -231130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5389)\/(-187) - (-14)\/77?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1638\/(-195) - (-16 + 7). Put -0.3, -1, -353, k in ascending order.\nAnswer: -353, -1, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 38*o + 1\/8*o**4 + 0 + 1\/10*o**5 + 1\/60*o**6 + 0*o**2 + 0*o**3. Factor y(d).\nAnswer: d**2*(d + 1)*(d + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*x = -x - 34, -4*x + 16 = -3*b. What is the smallest common multiple of 12 and 78\/8 - 2\/b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -2.44. Let m = p - 59.34. Let w = m - -55.7. Round w to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 13. What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1548, -4109, -6670, -9231, -11792?\n\"Answer: -2561*f + 1013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/7 - -14) + -10. Let i(f) = 2*f + 2. Let m(p) = -p - 3. Let k(w) = 4*i(w) + 3*m(w). Give k(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 10:23 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + (1*sqrt(3900) - sqrt(3900)) + 1*sqrt(975) + sqrt(975))\/(-4*(sqrt(3) - sqrt(12)\/sqrt(400))))**2.\nAnswer: 39325\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iga when three letters picked without replacement from iizwgzazizdwz.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/(24\/32)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 10*u - 5. Let c be k(11). What is the greatest common divisor of c and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-10 - (-8 - 3)) + -11 + 38 + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 693 and 462?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 3*k**7\/98 - k**6\/35 - 9*k**5\/140 + k**4\/14 - 2*k. Solve g(c) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -13*z**5\/30 - z**4\/12 + z**3\/6 + 91*z**2. What is n(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 175543*u + 8601613. What is k(-49)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/55057 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22508111 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 50*c**3 - 103*c**3 + 45*c**2 + c + 48*c**3 - 98*c + 80 - 23*c = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*c - 4*p + 8 = 1252*c, -5*p = c + 26 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 + (-5 - -3) - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:04 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/(1\/(-26)). Let g = -18 + j. Let y = -988.93 + 989. What is the biggest value in g, 2\/9, y?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**3 - 38*y**2 - 15*y + 27. Give p(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19191 (base 12) to base 6.\nAnswer: -441101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*40\/(-100).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/63 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322664 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -11*o - 13. Let d be h(-2). What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15 - 1222594.\nAnswer: -1222609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 7 = r - 19, 0 = -4*r + 2*o + 50. Let z = 24 - r. Suppose 5*p - 5 = z. What is the biggest value in p, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -667*c + 611*c - 1064 = 0 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - n - 5. Let j(d) = 4*d**2 - d - 4. Let z(g) = -5*f(g) + 6*j(g). Let v be z(1). Solve -3 - 5 = v*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 24 = -2*c. Let x be (9\/1)\/(c\/4). Suppose x = -2*u + 28. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4220247 - 4.838?\nAnswer: 4220242.162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5*x = 4, 2*x - 4 = -2*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -12. Let i(s) = -s + 21. Let a be i(9). Suppose 0 = u + 3*u - a. Solve 9*q + u*x - 22 = 4*q, -w*q + 18 = 2*x for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + -6248.5265.\nAnswer: -6038.5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/954943 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 241557 divided by -65?\nAnswer: -241557\/65","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/z**(3\/14) assuming z is positive.\nAnswer: z**(-101\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 467798740 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.07 (c) -2.92 (d) -1\/7 (e) 1\/7 (f) 3\/35 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.22 - -0.02. Which is the smallest value? (a) -5 (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -222\/7? (a) -1\/2 (b) -3 (c) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25\/1241 in -4, 0.5, -2, 8\/7, 37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 5*v - 2. Let w be n(6). Let m be ((-16)\/(-48))\/((-2)\/(-12)). Solve -w*k - 2 = m for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11522411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.789 - 5.789. Let w be 76\/10 - (-8)\/20. Let t be (-2)\/w*(-4)\/10. Put o, t, -2 in decreasing order.\nAnswer: o, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by -12 - (15 - 85) - (1 - -5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1385 - 1188 + 422)*(-r - r + 0*r).\nAnswer: 4302*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.9 (b) 2\/31 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13112 + -41431?\nAnswer: -110043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 15 - 25 = 0. Solve -4*u + 0*d + 6 = d, 0 = 5*u + m*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271099347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 4 (c) 101 (d) 0.4 (e) 1\/242\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 4*s**2 + 5*s + 5. Let v = 35 - 30. Let o be q(v). Let h be (-20)\/18 + 2 + 10\/(-15). Which is the second smallest value? (a) o (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s - 12*s - 24 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 17. Let s be j(0). Suppose -b = -2*g + 3 + 10, -s = -g - 3*b. Suppose i + g = 3*i. Solve 0 = c + c, 0 = -v - i*c - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -212695276 from 0.02.\nAnswer: 212695276.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88487831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/19)\/q)**(-36)\/(q**21\/(q*(q\/(q\/(q*q**6)))\/q)))**(-6\/7) assuming q is positive.\nAnswer: q**(2028\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96) - -1*-2*sqrt(96))\/(sqrt(66)\/(sqrt(33)\/sqrt(3))))\/((sqrt(576)\/(-2*sqrt(12)))\/(sqrt(42)\/(1*sqrt(7)))).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2597*c - 239040. Determine b(92).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a2c9 (base 13) in base 4?\nAnswer: 201120031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 368 - 64 = 0. Suppose 3*i - 8*i + 20 = 0. Suppose 5*h - 64 = 3*p - 7, 0 = i*h + p - 49. Calculate the greatest common factor of u and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-90)\/(-135)*18\/(-68))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -1494.958.\nAnswer: 44848.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101, 97, 89, 77?\n\"Answer: -2*i**2 + 2*i + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = -3*k + 4, 3*k + 4*t = 7. Let u(s) = -s - 2. Let p be u(k). Suppose b = 4 - p. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 4*b - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fomwfwobmommbofoo. Give prob of sequence fbmm.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5229?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 3*j**2 + 2*j**2)*(-j - 2*j - 4*j) + 317 - 2*j**2 - 317 - 12*j**3.\nAnswer: -5*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (sqrt(208))**2 + sqrt(52) + 0) - (-4*(1 + sqrt(637)) + sqrt(130)\/(-1*sqrt(10)) + (sqrt(13) - sqrt(39)\/sqrt(3)) + 0).\nAnswer: -1214 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - w - 6. Let y be g(3). Let q(n) = -4*n - 4. Let x be q(y). Let l(i) = i**3 + 6*i**2 + 9*i + 5. Let a be l(x). Is a != 2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen quarters of a milligram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7319251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 85275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**6\/24 + x**5\/20 + 33*x**4\/16 + 21*x**3\/4 - 1801. Factor b(i).\nAnswer: -i**2*(i - 7)*(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/9 - 3884*j\/9 + 74518\/9 = 0. What is j?\nAnswer: -1961, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2970 and 124630?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i + 1. Suppose 0 = -5*r + 65 + 25. Let b(a) = 13*a - 4. Give r*d(z) + 4*b(z).\nAnswer: -2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -263217*a**4 + 168827 with respect to a.\nAnswer: -1052868*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9825 to the power of 1\/2, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, 0.29, 0.3, 0, 0.06?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63975?\nAnswer: 3, 5, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6317?\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -2. Let x(u) = 2*u**2 + u + 4. Let o(p) = 1. Let y(w) = i*o(w) + x(w). Find the second derivative of y(j) wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*v - d - 8 = 230*v, 4*v + 4 = 5*d - 64 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6466 and 742?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4 + (1 + 2 - 2)*(5 - 1 - 3) + 1 - 14 + 1)*(-3 + 2 + 0)*(-547 + 547 - 28*q).\nAnswer: -280*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5 - 2*v**3 - v**2 + 0 to w*v**3 + t*v**2 + i + m*v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*2\/(-12)*0. Suppose 2*h - 58 + 0 = d. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibjzjtbbjbbbninn. What is prob of sequence zi?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 11\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(-6) + 1*7. Differentiate 0*m**2 + 3*m**2 - 4*m**2 - 3*m**2 + w with respect to m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14767, -29573, -44379?\nAnswer: -59185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 229857 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/3 - -2)*-3. Suppose 0 = z - 5*w + 2, g*z + w = -z + 13. Suppose 6*x - 6 = z*x. Solve -5 = -5*r - 3*a, -4*r + x = -0*r + 2*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17972089660 minus 0.08?\nAnswer: 17972089659.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 31. Let p be l(31). Suppose -2*c + 86 = 5*v + 74, p = -4*c + 3*v + 76. Let y be (-2)\/4 + 81\/2. Calculate the highest common divisor of c and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -12\/29, 54, 0.4?\nAnswer: -12\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57972*y + 39285 = -57099*y for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -1802 + 1880 + 11*w + w. Give q(-13).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 6*z**2 + z - 10. Let l(v) = -5*v**2 - 2*v + 9. Let b(k) = -7*l(k) - 6*m(k). Let s be b(7). What is the second smallest value in -0.2, -0.4, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/124*156\/(-390) and 11\/434.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0*f**3 - f**2 + 5\/8*f**4 + 1\/40*f**5 - 1\/720*f**6 + 0 + 0*f. Let z(d) be the second derivative of t(d). What is z(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102900305.\nAnswer: 5, 20580061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99) + (sqrt(11) - (-2 + sqrt(539) - sqrt(539))) - (5*-5*sqrt(704))**2.\nAnswer: -439998 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1987 + ((-1920)\/(-16))\/8. Calculate the highest common divisor of 130 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 + 2*z**2)*((-5 + z + 5)*(-3 + 2*z + 3) + 3761*z**2 + 5584*z**2 + 1415*z**2).\nAnswer: 21524*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6345568 to the power of 1\/2, to the nearest integer?\nAnswer: 2519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-2)*(-28)\/(-6)*15\/(-60)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11166.7 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let q be (12 + -2)\/(-3*4\/48). Let y(l) = -4*l + 20. Let i(g) = -1. Let c(d) = q*i(d) - 2*y(d). Give x(c(w)).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/5, -5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-588)\/(-14) - (7 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 311, 1233, 2769, 4919, 7683, 11061?\n\"Answer: 307*o**2 + o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*f = -15447 + 3792 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -961338*g + 15381405. Calculate m(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - (2\/4)\/((-4)\/16). Let f(o) = -5*o**g + 2 - 5*o**3 - 7*o + 6*o**3 - 2*o**3. Let a(r) = r**2 + r. What is 5*a(y) + f(y)?\nAnswer: -y**3 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -84528004*j**3 + 1738*j - 27265?\nAnswer: -507168024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(490) - -4*sqrt(490)).\nAnswer: sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**4 - 1470*c**3 + 32223*c**2 = 0.\nAnswer: 0, 23, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 - -21. Let m = 20 + x. What is the tens digit of 20 + (m - -7) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6295625.\nAnswer: 5, 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 9. Suppose -53 = 5*y + 3*a, -z*y + a - 8 = 21. Let w(r) = -3*r - 23. Let o be w(y). Calculate the greatest common factor of o and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5723047 and 60676?\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 - -1.9. Which is the second smallest value? (a) -0.2 (b) 2\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 91?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 5*x + (4*x - 3*x - 3*x)*(-3 + 4 + 1) + (-2*x + 2*x + 5*x)*(4 + 1 - 2).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6 + (-645)\/(-9). Suppose 43*v - 12*v = 6882. Let i = 240 - v. Calculate the highest common factor of i and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -232 - -244. Let v(j) = j**3 - 10*j**2 - 23*j - 6. What is v(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313232 - 313230. Suppose 30\/7*z - 3\/7*z**i + 33\/7 = 0. Calculate z.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + 4\/6*-3. Suppose -h*p + 2 = -0*p - 4*x, -5*x = -2*p. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2\/(-4))*-6. Suppose -5*s = -s - 8. Sort -3, s, r in decreasing order.\nAnswer: r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, -1, 3, 5 in increasing order.\nAnswer: -1, 3, 5, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 - 13. Suppose 0 = 3*c - x - 40. Solve -16 = -5*n - 2*i, n - 6*n = -i - c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10392 is divided by 2750.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2314 = -0*r. Let g = -49748\/43 + r. Which is the biggest value? (a) 1 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + h - 14, 709*h - 711*h = -2*t + 12. Solve 0*u - 4*b = -u - 20, -2*u - t = -2*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 7*q**2 + 3*q + 1. Suppose -107 - 233 = -5*p + 2*v, -2*p = 2*v - 150. What is the remainder when p is divided by u(-4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/9)\/h)**(-2\/93) assuming h is positive.\nAnswer: h**(2\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 16*o - 272. Give v(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u**2 - 11*u + 1. Let n(q) = q**2 - 6*q + 1. Let i(t) = -2*j(t) + 5*n(t). Let y be i(-7). Suppose -8*b = -5*b - 27. Is y > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 3. Is l(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pw when two letters picked without replacement from {w: 1, p: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68082 and 462.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -68 (b) 0.0284 (c) -0.05 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**5\/10 + y**4\/4 - 5*y**2\/2 - 13999*y. What is f(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 = 2*y - 3, m = -3*y - 15. Let a be -1 + (7 - (1 + -1)). Let c = a - y. Calculate the greatest common divisor of 15 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-33)\/(-15) + -1)*30. Suppose 216 + 104 = -8*m. Let r = 44 + m. What is the highest common divisor of p and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 2, o: 1, x: 3, j: 1, r: 3}. Give prob of sequence xroj.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 20727?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s - 25 = -3*t, -t = s. Suppose 0 = q - 0 - t. Suppose 1 - 5 - 6*c + 2 + q + 3*c**2 = 0. Calculate c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/12*-38 - -2*(5 - 7). Solve -30 = 2*q - 0*q + 4*c, m = -3*c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29520)\/(-4510) - 12\/22. Solve 5*t = -2*h + 21, -2*h - 19 = 3*t - d*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -14, 2, -2, 3 in descending order.\nAnswer: 8, 3, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + -0.2. Let n = -0.33 - l. Let p = -0.9393 - 0.0607. Sort p, 0.1, n in increasing order.\nAnswer: p, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + sqrt(475) + 1)*4)**2 - (((sqrt(475) + 1 + sqrt(475))*-6)**2 + (sqrt(475) + 1)*-6).\nAnswer: -690*sqrt(19) + 53170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9\/29 + -681\/232. Let d be (6\/5)\/((-22)\/55). Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/9 - -5\/9. Let j = -1090\/7 - -5436\/35. Which is the nearest to 0.04? (a) j (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f + 106. Let t be z(-24). Let h(m) = -m**3 + 4*m**2 + 5*m + 1. Let b be h(5). Let d = b + t. Solve -q + 6*q = -2*o - d, -16 = -5*o + 2*q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-8) + 375\/300?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(460\/1173)*22\/231?\nAnswer: -34\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9386?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvx when four letters picked without replacement from xvxxxxxxxvxv?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - x**2 + x + 524. Let g be w(0). Let y = g + -116. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - 5*s)*(-4 - 3 + 3) - 1 + 0*s - 1 + 3*s.\nAnswer: 11*s - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*g + 9*g + 1992 + 492 = 41*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 10. Let b be s\/(-9) + 8\/6. Solve -3*w - 4*h - 7 = 0, 4*h = -2*w - 1 - b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -11 + 1\/6*z**3 + 0*z**2 - 14*z. Let r(g) be the first derivative of h(g). Let u(j) = 15*j. What is u(r(t))?\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -12. Let j = -0.8 - -7.8. Let x = j - 3. What is the closest to 0.1 in x, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*((-3*u + u + 3*u)*(u**3 + u**4 - u**3) - 6*u**5 + 2*u**5 - 4*u**5).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c + 4*c - 5*c)*(0*c + c - 4*c)*(11*c + 2*c**2 - 11*c).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {u: 9, k: 10}?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1619*z + 5. Let r(t) = 3221*t - 11. Give 5*l(p) + 2*r(p).\nAnswer: -1653*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.05, 1, 2\/5, -2\/7, 13, -1\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3035 = -2*t + u, -2*t = -6*t - 5*u - 6049. Let n = t + 30349\/20. Find the common denominator of n and -37\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose 5*u - 31 = -4*l - k*u, 4*l = -4*u + 28. Let s(t) = -t**3 + 6*t**2 - 3*t - 6. Let j be s(2). Are j and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 13. Let c be (32\/10)\/((-6)\/(-15)). Suppose -132 - 52 = -c*a. Calculate the remainder when a is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/3)*x*x**(1\/5))**(-10\/7)*(x**(-1)*x**0)**21 assuming x is positive.\nAnswer: x**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-114)\/36 - -3). Suppose -3*p - 3*g + 762 = 0, -5 = t*g - 11. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -31. Is 6 a factor of (-2247)\/(-49)*2 + t\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -829.6 - -763. Let c = 7.6 + t. Let w = c - -59. Sort 5, w, -1\/3, 2 in descending order.\nAnswer: 5, 2, w, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*k + 155, 17*k = 13*k - 4*w + 200. Suppose 0 = -l + b + 26, 5*l + 5*b + k - 175 = 0. What is the remainder when 100 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 - 248*y**2\/3 - 6575*y\/6 - 3563.\nAnswer: (y - 509)*(y + 6)*(y + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37828242 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t + 15*t - 10*t)*(-120 + 57 + 110 + 2*t).\nAnswer: -6*t**2 - 141*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -6. Let c = 2427604.36000284 - 2427599.76. Let v = d + c. Round v to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g + 5. Let w(k) = -k + 1. Let c(z) = f(z) - 5*w(z). Let b(v) = v**2 + 85*v. What is c(b(m))?\nAnswer: -6*m**2 - 510*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2400, 2354, 2306, 2256, 2204, 2150, 2094?\n\"Answer: -b**2 - 43*b + 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513320 rounded to the nearest 10000?\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 176 - 181. Let s = 0.1536 + -0.6536. What is the fourth biggest value in -360, s, -1\/3, a?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106\/3 + 36. Let i(t) = -t**2 + 4*t - 2. Let k be i(2). Are l and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 5 (c) -15 (d) -0.3 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111312, 222688, 334096, 445536, 557008, 668512?\nAnswer: 780048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 15 = -2*w, 3*u = 2*w - 24. Let z = -6 - u. Solve 5*k - 4 - 11 = z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04*-110\nAnswer: 114.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 806, 793, 792, 803, 826?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**6\/3 + 7*z**3\/6 + 9*z. What is the second derivative of h(i) wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -9*b**2 - 8*b + 19. Let y(u) = 25*u**2 + 23*u - 55. Let n(p) = 11*w(p) + 4*y(p). Calculate n(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - w. Let d be t(-3). Suppose 0 = -5*f - 5*g + 70, -2*g - 150 = -8*f - 38. Let x = f - d. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 20243184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 15 = -5*a + 8, 0 = 2*y + 3*a - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -357*z - 1970. What are the prime factors of t(-32)?\nAnswer: 2, 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.1528 and -0.3.\nAnswer: 0.8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 17*v + 39. Let i = 22 + -12. What is the remainder when g(-17) is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4044*u - 4059*u - 15 = 0. What is the nearest to 1\/4 in u, 2\/21, -0.1, -11?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -2*b**3\/3 + 4*b**2 - 4*b + 4. Let y be q(9). Let v = -17 - y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 87*g - 714. Let l be i(8). Which is the fourth biggest value? (a) -0.1 (b) l (c) -0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 39. Let z be 24\/56 - 1086\/(-63). Let s = z - g. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 121995.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2705 = 10*p - 15*p - 4*i, 15 = 3*i. Let u = p + 551. What is the lowest common multiple of 42 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 - -644928?\nAnswer: 644927.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*-1)\/(2\/11). Suppose 0 = 53*g + 2*g + 220. Let l = g - i. Solve 4*h - s = -l, 1 + 21 = h - 5*s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*15\/40*(-152)\/57?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1432452312 - 1432452487.9999958. Let m = t + 176. What is m rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -28246, -225874, -762238, -1806706, -3528646, -6097426, -9682414?\n\"Answer: -28228*y**3 - 32*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 2*y + 6. Let k be (1 - 5) + (14 - 13). Give c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*a**3*b**3*d - a**3*b**2*d**2 + 2*a**2*b**3*d**2 + 19*a**2*b**3 - a*b**2*d**2 wrt a?\nAnswer: -126*b**3*d - 6*b**2*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-30))\/(2\/(-3)). Let j be k\/(-2)*(-320)\/(-4). Suppose -19 - 61 = -8*x. Calculate the highest common factor of x and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -874720 rounded to the nearest one thousand?\nAnswer: -875000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 244822757 a multiple of 814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert c276 (base 16) to base 8.\nAnswer: 141166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 4*m + 4. Let k be o(3). Let s be -18 - -22 - (0 - 47). Let p = k + s. What is the smallest common multiple of p and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Suppose -o + p*g = -13 + 3, 4*g - 92 = -5*o. Suppose -8*r + 384 = 4*r. Calculate the greatest common divisor of r and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.09 - 0.11. What is the third biggest value in w, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -227426866\/354053475 + -1\/833067. Let w = -19\/25 - l. Put 0.3, -0.4, w in decreasing order.\nAnswer: 0.3, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.01, -4, 2\/15.\nAnswer: -4, 0.01, 2\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -211*l - 28490. Determine i(-135).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/65 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*y - k - 1, 5*y - 24 = 3*k. Let s be (y\/7)\/1*28. Solve t = 5*l - s, 2*l = 5*l + 4*t - 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.5, 0, -0.119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**3 - 3*x**2 + 24*x - 7. Let z(y) = -7*y**3 + y**2 - 12*y + 3. Let r(m) = 3*a(m) + 7*z(m). Factor r(b).\nAnswer: 2*b*(b - 3)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/128)\/((-189)\/(-112))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9723738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-51)*44*4\/440?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 11*r. Let t(g) = g**3 + 14*g**2 - 35*g - 30. Let x be t(-16). Let s(h) = -33*h**2 + 12*h**2 + x*h**2. Calculate p(s(j)).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1418*z**4 - 2*z - 9?\nAnswer: 17016*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 72\/1872*92\/6 and -65\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - z = 8925, -4*z = 8 + 12. Let t = -1129 + q. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 718 = -0*w - 5*x, 0 = 4*w + x - 2977. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 8 + 937. Let m = r + -77. Suppose -4*z + m = 16. Solve z*w + 4 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u - 6*u to the form j*u + a and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 72040 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00087721 to six dps.\nAnswer: 0.000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 115\/25 - (-1)\/5*-72.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13412 and 5748.\nAnswer: 40236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3945 and 5185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 5:07 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 162158.37 months in decades?\nAnswer: 1351.31975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-22)*i*i**(-3\/17) assuming i is positive.\nAnswer: i**(-360\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 13*t**2 - 11*t + 1. Give w(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1066287000.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -4, -1, 3\/4, 408?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**4\/y*y\/y**(-3\/7))\/((y\/(y\/(y**0*y))*y)\/(y**(2\/17)*y)))\/((y*(y*y**1*y)\/y*y)\/(y*y*y**(-2)*y)*y**39) assuming y is positive.\nAnswer: y**(-4457\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.000878332966 to 7 decimal places.\nAnswer: 0.0008783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/4, 8, 0.6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2000 and 19120.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 442 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9.3. Suppose -3*n - 3 = 69. Let b be 8\/n*6\/5. What is the biggest value in b, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -5*d - 3*z - 11, 5*d - 170*z = d + 6*d - 4084 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27382 less than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 129408504*i**3 + 67*i**2 + 248*i - 44.\nAnswer: 776451024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1, -33.4, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108247, 216489, 324731, 432973, 541215, 649457?\nAnswer: 757699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/1364 and -95\/88.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-26)\/(-12))*11\/(121\/(-22)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p - 57*p + 5*p - 33*p. Let j(i) = -31*i. Give v(j(l)).\nAnswer: 2883*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 9 = 0, -3*y = -3*i - 1352 + 1367 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.1 in -0.02, 2\/13, 6, 2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*r - 346*r = 70616. What is the greatest common divisor of r and 194?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 28128\nAnswer: -1\/14064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 3) + (-5 - (-13 - 32 - -18)) + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 420432291 to the nearest integer?\nAnswer: 20504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -197 - (-49)\/((-2009)\/(-2706))\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-7)\/(126\/12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17418 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*o - 2645 - 32341 = 0 for o.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -8 - (4 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {g: 5, m: 15}?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 169929650831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let p(l) = -14*l + 4. Let n(c) = -p(c) - 4*u(c). Let o(i) = -i**2 + 9. Determine n(o(m)).\nAnswer: -22*m**2 + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 138731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-58)\/8 - (-18)\/2. Let g(m) be the first derivative of 0*m**2 - h*m**4 + 0*m - 5 + 1\/3*m**3. Find the third derivative of g(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2396, 4386, 5962, 7124, 7872?\n\"Answer: -207*d**2 + 2611*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -12133875.\nAnswer: 1\/4044625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 1275*i**2 - 20*i - 1275*i**2.\nAnswer: -13*i**3 - 20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoox when four letters picked without replacement from ooooxxoxxo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 380654 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: Calculate prob of sequence wwtw when four letters picked without replacement from {t: 2, w: 7}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 = -18. What is the greatest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + 0*y**2 + 0*y**2 + ((y - 4*y + 0*y)*(-3 - 4 + 5) + 6*y - 13*y - y - 5 - 3*y + 5)*(y**3 - 5*y**3 + 5*y**3).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/3))**(-12\/13)*a*a**8*a**9\/a)**(-34) assuming a is positive.\nAnswer: a**(-7786\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7720695.9 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*f**2 + 23*f**2 - f**2)*(2 - 2 + 1)*(-4 + 2 - 9) + (3*f + 2*f - 4*f)*(f - 1 + 1) in the form i*f**2 + t + v*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 9:55 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 times -155.2?\nAnswer: 7.4496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 + 3 + 3*y + 0*y**2 + 4*y**2 - y**3. Suppose 17 = -f - 5*r, 0 = 5*f + 2*r + r + 19. What is the units digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2411679 divided by -1.\nAnswer: 2411679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3541 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from jrrjddxxdxrdrddxj.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -u + 49. Let l = 6 - 5. Suppose 0 - l = -k. What is the highest common factor of u and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + 381\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*j - 378*j = 326*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l. Let n(f) = -6424*f - 33. Let t(b) = -803*b - 4. Let q(y) = 4*n(y) - 33*t(y). Calculate q(s(x)).\nAnswer: 803*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -771 or -765?\nAnswer: -765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 303?\nAnswer: -90.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, -5, -63, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30354, -30270, -30186, -30102, -30018, -29934?\nAnswer: -29850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(125)).\nAnswer: -20*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1493724 and 387.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + x**2 + x + 4. Let m be s(0). Suppose -m*d - 3 = -g + 2*g, 0 = 2*d + g - 1. Is d at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.036 and 38526.\nAnswer: 38526.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 = h, -c + 2 + 2 = 0. Suppose 146 = -h*m + 14*m. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3144123 - -2503?\nAnswer: 3151030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by -5?\nAnswer: -49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = 0, 4*k = -2*v - 5 - 5. Suppose v*a + a = 3*h + 13, 4*h = -5*a + 24. Solve 3*y - 5*w = -0 - h, 2*y + 5*w + 9 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (-12 + 9 + -7). Solve 3*c - y - a = 0, -y = 4*y + 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/6*2*28. Let v be n\/(-9)*3\/(-2). Let o(h) = -2*h**2 - 2. Let w(a) = 5*a**2 + 5. What is v*o(l) - 6*w(l)?\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from {q: 6, w: 2, p: 1, r: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107033 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.594258t to kilograms.\nAnswer: 594.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-6) - (-19 - 1533\/(-84))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*n - 83 = 28, -3*f - 2*n = -105. Solve -77 = -f*v - 77 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - 0.8. Let h = b - -0.5. Let g = h + 0.1. What is g rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 15) in base 5?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 2. Let b be 222\/390 - (-76)\/(-95). What is the closest to b in 0.4, -3\/5, d?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 53 = 5*g, 2*a - 8*g = 3*g - 5 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212757 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = o - 336. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 17*x.\nAnswer: -x*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 - 240 = -65*x - 395 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 156*u + 44. Let g be b(29). Let r be 15\/(-12)*(-163758)\/45. Let o = g - r. What is the common denominator of o and 23\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1525, -3050, -4573, -6094, -7613?\n\"Answer: u**2 - 1528*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.32 - -4.92. Let j = v + 4.4. What is the third biggest value in 3, -0.2, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 3*(-4 + 3). Suppose -j*x + x = -12. Solve -3 = -x*n + n + 3*a, -3*n + 11 = -5*a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(3 + -58 - 4) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -26 + -47 - (-4 + 4) - -12.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12109522 is divided by 3618?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -9.2, -5, 144, 10, 1\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*1\/3)\/(187*(-249)\/(-2235024))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 887405\/(-25) - 16\/20. Let c = -25877 + 2680. Let w = k - c. What is w rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3216451047?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/(sqrt(20)*-6 + sqrt(5)).\nAnswer: -sqrt(3)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u. Let v = -238 + 246. Let g(m) be the second derivative of 0*m**2 + v*m + 0 - 1\/12*m**4 + 0*m**3. Give d(g(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9))**(-3\/38))**(13\/5) assuming z is positive.\nAnswer: z**(13\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 + 4*w**2 - 7*w - 8. Let d(l) = 5*l**3 - 9*l**2 + 13*l + 18. Calculate -9*b(n) - 4*d(n).\nAnswer: -2*n**3 + 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -1710*x + 1712*x. Let y(u) = -10*u + 3. Let d be y(3). Let h be x\/(-22)*6\/d. Is h greater than 1.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1237 + 751. Calculate the remainder when o is divided by 48.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2736 + 2738. What is the fourth smallest value in -268, 2\/13, n, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1500 - -2850. Let m = t - 336. Round m to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + 9. Let d(h) = h**3 + 4*h**2 + h - 4. Let t be d(-4). Let o be i(t). Suppose 2*a - 59 = -3*z, -o - 1 = -2*z. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 14. What is the tens digit of (2 - 0)\/(c\/(-193))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x - 31*x - 13 = -4*n, 3*n = -151*x + 176*x - 104 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 1. Let j(f) = 5*f + 4. Let l(x) = -3*j(x) - 12*y(x). Let k(v) = -5*v**2. Determine k(l(o)).\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 57. Let w = 49 - j. What is the lowest common multiple of w and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 + 134*o + 846. What is v(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h - 4*z + 16, -3*z = 5461*h - 5458*h + 30 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + j + 3. Let w be u(3). Solve -5*p - 5*l = -2 - 3, 5*l = 2*p + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -28485.\nAnswer: -4\/28485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 8*n - 5. Let x be c(3). Suppose 3*s = -q + x, 0 = 4*q + 11*s - 6*s - 48. What is the remainder when 40 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23030\/(-105)*24\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d - -2c?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let u(m) = m - 1. Let z(y) = -4*u(y) - 5*w(y). Let v be z(3). Solve v*t + 2*g = 4*t + 4, 6 = 2*t - 2*g for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 218\/6*(-14 - -11). Let s = -107 - c. Calculate the least common multiple of 50 and s.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 q, and 1 l when three letters picked without replacement from fdlffrlffqflrf?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 81?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/7, 154, 3, -2.07?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*o**2 + 15*o**2 - 94*o - 82*o**2 wrt o.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867956489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15709, -1, 397.\nAnswer: -15709, -1, 397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/1*46\/(-5382)*-52?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 612?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 477, 1407, 3219, 6207, 10665, 16887?\nAnswer: 25167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)*r*r*r**(-4)*r)**(-2\/11)\/(r*r**5*r**3*r*r*r)**(-26) assuming r is positive.\nAnswer: r**(24034\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 27*r - 82. Calculate n(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.335 times -62.25\nAnswer: 83.10375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11146596, -11146595, -11146594, -11146593, -11146592, -11146591?\n\"Answer: y - 11146597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4261, 4394, 4527?\nAnswer: 4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*q - 9, 3*z + 2*q + 2*q + 11 = 0. Let p(t) = t + 1. Let y(u) = -11 + 4 + 1 - 4*u. Let h(w) = z*y(w) - 6*p(w). Let m(b) = -8*b. What is m(h(s))?\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 9 + (0 - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -4665?\nAnswer: -4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/10 + -7)*-1. Solve o = 4*x - 5*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2006, -40, 0.2, 5\/4, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1143 and -1552924?\nAnswer: 1552923.8857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1834359.\nAnswer: 5\/1834359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 102327988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 1:40 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20411975?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*g)*(-2*g**2 - 2 + 3 + 6*g**2).\nAnswer: -12*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1577*w = -1585*w - 56 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*d - 107968 = -111112 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3108054494606 and 34.\nAnswer: -3108054494572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (783852\/(-3320))\/(-787)*1*-5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 17*d**3\/6 + 8*d**2 + 5*d + 2. Let x(y) be the first derivative of a(y). Is x(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 - 3102035?\nAnswer: -3102053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 96 - -13. Let g = f - 107. Differentiate 19*j**g - 8*j**2 + 44 + 31*j**2 with respect to j.\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 3*j**2 - 10*j**2 + j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 112001?\nAnswer: -112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxu when three letters picked without replacement from uuuuxxuuuuu?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p\/(p*p*p**(-1\/29)*p)*p)\/p)\/p*p**(-2) assuming p is positive.\nAnswer: p**(-115\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/25 - (-147)\/(-15). Let v be 5*-4*1\/h. Solve -2*k = -2*t + 12, 2*k - 5*k - 3 = v*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 14*y - 25. What is o(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.2, 785 in decreasing order.\nAnswer: 785, 8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000661396375 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 - 3 = 0. Let f(n) = -a*n - 61 + 2*n + 69. Calculate f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526924 to the power of 1\/2, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 34107 + -1?\nAnswer: 34106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 7:40 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-43 + -4)*2 + 0 + 2. Let f be -11 + 11 + (1 - (d + -2)). Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 112 + -197. Let u = -94 - o. Let w = 3 - 12. Do w and u have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 602 - 603. Is 1840762\/330 - u\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158917794, 158917796, 158917798?\nAnswer: 158917800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6 = 2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/(-49))\/((-2)\/(-14)). Suppose 0 = -0*l - s*l + 242. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231010002120 + 11?\nAnswer: 231010002131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 51.765\nAnswer: -103.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqswsz. What is prob of sequence swq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 0*j + 5\/3*j**3 + 0*j**5 + 0*j**2 + 0*j**4 + 0*j**6 - 13\/7*j**7 - 2. Find the third derivative of h(d) wrt d.\nAnswer: -1560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*z - 24 = 102*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9942\/(-34846) - (-114)\/19. Let f = 1\/2489 - w. Which is smaller: -7 or f?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -2\/11, -2, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 24*t**2 + 145*t. Does 5 divide r(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 7:16 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**3 + 6*u**3 + 0*u**3 - 116*u**2 - 14*u**3.\nAnswer: -2*u**3 - 116*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10745, 26692, 42639, 58586, 74533?\n\"Answer: 15947*o - 5202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**2 - 59*m**2 - 83*m**2)*(0*m**3 + 3*m**3 + 0*m**3).\nAnswer: -405*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5005 and 973219?\nAnswer: 374689315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360941732?\nAnswer: 2, 4259, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2aa + 89?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/14*462805\/255015?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 8*v**3\/3 - 4*v**2 - 3*v - 42. Does 20 divide k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 236 and 4661?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 27*s + 101. Let w be c(30). Suppose 22*q - 198 = w*q. Suppose -y + 228 = -q. What are the prime factors of y?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 2\/(-4))*(-16 - -26). Suppose j*f = -4*n + 6131, 0*f - 4*n - 2458 = -2*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjc when three letters picked without replacement from {v: 4, r: 1, c: 3, j: 7, a: 2, z: 1}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20316 and 72654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 6*i + 1. Let j(r) = -r**2 - 7*r + 1. Let y(a) = 6*f(a) - 5*j(a). Let t be y(-3). Let m = t + 20. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l + 4. Let j be v(5). Let x = 7 + j. Let u = -5 + 5.5. What is the biggest value in u, -1, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3206444 litres in millilitres?\nAnswer: 320.6444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1512.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + -7 + 15 + -10 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 3*p + 23277 = 23405, 286 = 5*u - p for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 + -3)\/(0 + 1). Suppose 32 - l = 5*y. Suppose -4*o + k = -13, 2 = -4*o + y*k + 19. Solve -5*w - 20 = o*j - w, -25 = -2*j + 5*w for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 + 10*r**2 - 7*r - 19. Let n(l) = -24*l**3 + 50*l**2 - 34*l - 94. Let g(f) = -28*i(f) + 6*n(f). Factor g(x).\nAnswer: -4*(x - 4)*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 0, -24 in ascending order.\nAnswer: -24, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4109, 7672, 10679, 13136, 15049?\n\"Answer: r**3 - 284*r**2 + 4408*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvqpovppll. Give prob of sequence pqov.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 14*x + 14294 = -5*v, 2*v + x = 7141. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 67827?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**3 - 1304*t**2 - 2328*t + 782. Calculate u(-259).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*p**2 + 4*p**2 + 59*p**2.\nAnswer: 212*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-69)\/36*-9 - 3\/(-4) and 33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3566\/(-17830)*300\/68\nAnswer: -15\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34413?\nAnswer: 3, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57.8771 + -0.1229. Let n = 179.299465 - 237.29947. Let z = n - b. Round z to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11790 - -11808. Calculate the least common multiple of t and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 18. Let j be t(-9). Let b = j + 27. Let f = 32 - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2847 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84 by 5.\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-12)*9\/3*6. Calculate the smallest common multiple of (d\/(-10))\/3 + 1267\/35 and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f - 5*f + 2*f + (-3 + 0 + 1)*(-35*f - 4503 + 4503) - 2*f - f + 2*f.\nAnswer: 67*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 6. Suppose -4*q = -19 - w. Suppose -5*c + q*s = -60, -5*s = 2*c - c - 30. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((57246\/(-63))\/58)\/((-28)\/27 + 1) is divided by 153?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*m**2\/2 - 795*m\/2 + 115.\nAnswer: -5*(m + 23)*(7*m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 8:15 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(336) - sqrt(21))*2)\/(sqrt(27)*-1*-1))**2.\nAnswer: 3388\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 not equal to 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 10 = 5*u, -3*u = -4*u - 2*r + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-930)\/(-75) - 13) + 92616\/10. Let h = g - 13431. What is h rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/5 + 36*s**3\/5 + 192*s**2\/5 + 368*s\/5 + 48 = 0 for s.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29887*u + 30599*u + 12816 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4\/5 + 44404*a**3\/5 + 399693*a**2\/5 + 1065892*a\/5 + 177652 = 0.\nAnswer: -5, -2, 44413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c84 + 5fef?\nAnswer: 7c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-1 - 11)) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*(116*(-18)\/(-360) + -6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 14. Solve -5 = -v*d + 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0281645 - 240.94765\nAnswer: -240.9758145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10*(-4)\/(-8)*-1. Suppose 5*s - 24 = -4*f + 6, 0 = -f + 5. Calculate the least common multiple of 11 and (-3 - d)\/(s\/3).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*t - 11 = 29, -5*j + t = 20. Let v be j + (-1)\/1 + 3. Let g(x) = -8*x**3 - 2*x**2 - x. Calculate g(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*k = 321*k - 7802 - 4132. Solve -45 = 9*s - k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3669*i**4*s**2 - 93*i**4*s - i**3*s - i**2*s - i**2 + 8*s**2 - 133*s + 48 wrt i?\nAnswer: -88056*i*s**2 - 2232*i*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33890 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007758003 to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211220 (base 3) to base 10.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 8*f - f - 40*f**2.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 459?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (2\/3)\/((-9)\/27). Suppose j - 5*j = -8. Find the third derivative of -3*o**4 - 2*o**4 - 40*o**2 + 47*o**j - n*o**4 wrt o.\nAnswer: -264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 10*h**2 - 12*h + 15. Let i be r(11). Suppose b + i*b - 565 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (-22 + -3 + 1). Suppose -4*w = w - i. What is the second derivative of 3*o - 3*o + 3*o**w - 2*o - 2*o wrt o?\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-2 + -10 + 50) - -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 20 + 4844*v**2 - 4791*v**2 - 69.\nAnswer: 53*v**2 - v - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/207*4\/8*12\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 21*c - 21. Which is bigger: c or 3\/10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -17*y - 706. What are the prime factors of o(-47)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/71, -1, -67320, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:03 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 3*d - 10. Suppose -d*y + 16 = -y, 3*l = y + 17. Let z = l - 0. Calculate the greatest common divisor of 28 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15461 + -15461.21752. Round u to three dps.\nAnswer: -0.218","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v + 390 = 50 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**3 - x**3 + 0*x**3)*(-207*x + 37*x - 2*x)*(3 + x - 3).\nAnswer: 1204*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -1, 0.08, 1 in ascending order.\nAnswer: -3, -1, 0.08, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Suppose 0 = -3*r + 4*b + 310, 0*b + 3*b + 207 = d*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 5*m = 18, 2*i + 12 = 32*m - 30*m. Which is smaller: 280 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/1756 and 8\/1317.\nAnswer: 5268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s*s**0\/s)*((s*s*s*s**3\/s)\/s)\/s)\/(s**6*s**8))\/(((s**0*s*s)\/s*s\/s**(-1\/4)*s)\/((s\/(s**(-3\/8)\/s))\/(s*s**6\/s))) assuming s is positive.\nAnswer: s**(-119\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d - 13. Let u be w(-15). Let r(p) = 14*p**3 + p. Does 19 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 877554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2527928478 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 39*b**3 - 3 + 17*b**2 + 1 - 22*b**2.\nAnswer: 39*b**3 - 5*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11451 + -11?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 35 = 5*q. Solve -5*a - 3*g = 40, 5*g + q = 4*a + 2 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**4\/3 + x**2. Let b be d(-4). Suppose -2*q = -0*q - b. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -16, -0.5, -212647?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 20, -15, -96, -241?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2486603 divided by -1?\nAnswer: 2486603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 1. Let k = t + 5. What is the closest to -1 in 3\/5, -2\/3, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**2 - 2*s + 5. Let m(b) = 8*b**2 - 3*b + 6. What is 2*m(g) - 3*u(g)?\nAnswer: -8*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlolloljooo. Give prob of picking 2 l, 1 j, and 1 o.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(((-2)\/(-6)*1)\/(110\/(-15))). What is the greatest common divisor of 2354 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, n: 2, i: 1}. What is prob of sequence anni?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c**7*c)\/c))\/c)\/(c*c**(3\/4))*c**(-2)\/c*c\/(c\/(c*(c\/(c\/c**(-6)))\/c)))**(23\/2) assuming c is positive.\nAnswer: c**(-1633\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17162 * 107.\nAnswer: 1836334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/271244 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311219 and 19261.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11001000111001 (base 2) to base 6\nAnswer: -135305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 5\/24*q**4 + 0*q + 1\/2*q**3 + 1\/60*q**5 - q**2 + 0. Is 9 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b + 409 = -3*c, 3*c + 5*b = -437. Let s = 145 + c. Sort -5, -4, s, -2\/13.\nAnswer: -5, -4, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1642*j + 1200*j + 21315 = 2233*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 69*n**2 - 590*n + 35562. Give d(68).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1\/4)*g**(-2\/3)*g*g*g)**(-30) assuming g is positive.\nAnswer: g**(-245\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 5, -0.01, 2 in decreasing order.\nAnswer: 5, 2, 1\/6, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 3*r = 0, 4*t - 3*r - 2 = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*x = 62029, 2*p - 7*x + 2*x - 31047 = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1015 = 78*q - 1085. Which is greater: q or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1948503 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2. Let a(y) = -291931*y**2. Calculate a(p(v)).\nAnswer: -1167724*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2966604 * -3.\nAnswer: -0.8899812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84, 164, 244, 324, 404, 484?\nAnswer: 564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 13, 1, -139, -1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 118160, 120111, 125420, 135767, 152832?\n\"Answer: 280*m**3 - m**2 - 6*m + 117887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-155)\/(-10) - -7 - 6\/(-4). Let l be 36\/t + 5\/2. Solve q + k = -2, l*k + 8 = -5*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -53*z + 7. Let p be n(3). Let g be p\/(-3) + (-3 - (-20)\/6). Suppose 0 = 6*o - 9 - g. Solve -2*m = m + f - o, -2*m + 4*f = -16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260\/763 - -6\/109. Let m = -0.042 - -0.342. Sort k, -2\/23, m.\nAnswer: k, -2\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - 3 - (-18 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4445017 (base 8) to base 9\nAnswer: -2226155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-44 + 0)\/4 - (-152)\/8. Solve -9 = -b*g + 10*g + 3*t, -3*t = 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -282*(-76)\/(-1824) - (-11)\/1\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 991, 8355, 28203, 66733, 130143?\nAnswer: 224631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/((-9)\/(-5)). Let d be 1\/(1\/8*2)*1. Suppose -3*r - p - 7 = 1, d = 3*r + 4*p. Which is the second smallest value? (a) -2\/17 (b) q (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4 + 0*x + 0 - 4*x + 7*x**2 - x**3. Let a(w) = -715*w - 17156. Let b be a(-24). Calculate r(b).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-11) + 3970\/55. Suppose 2*y + 30 = 4. Let x = 31 + y. Calculate the highest common divisor of x and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0098 + -0.4098. Which is the nearest to 0? (a) 43 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/552 and -19\/12.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 86 = -45. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1026.2538 to 1 dp.\nAnswer: -1026.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 - 62. Let c be (-17)\/(-5) - (-10)\/n. Solve a + 2*p = -p + 10, -c*p + 14 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(3*sqrt(12)\/sqrt(3)) - (2*sqrt(6048) - sqrt(42))\/sqrt(6).\nAnswer: -68*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 617568 - 391337. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/7)*k**9)\/(k\/k**(-4)*k**(-5\/2)) assuming k is positive.\nAnswer: k**(89\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21802 and 770.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dl when two letters picked without replacement from rrrlrgdgrllrlxrrlr?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/5 + 668*h + 79008\/5.\nAnswer: 2*(h + 24)*(h + 1646)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/54 - 1)*-6 + ((-49)\/6)\/(-7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:49 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 67989074 less than -22.3?\nAnswer: -67989096.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:36 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -34 - 19 - 122*n + 27*n - 27. What are the prime factors of v(-3)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115886 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 2 (b) 0.2 (c) 195 (d) 5 (e) -446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1780 and 44945?\nAnswer: 179780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 14*p. Let y be x(1). Let v = 88 - y. Let u = 139 - 114. Calculate the remainder when v is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/50*(159\/(-9) - 1\/(-6)). Are 604 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -1\/2*l**2 + 2*l + 2\/3*l**3 + 2. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 31874713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377)*-2 + sqrt(17) + sqrt(187)\/(sqrt(55)\/sqrt(5) + sqrt(11)))*4.\nAnswer: -66*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1653.8733 + 1.2\nAnswer: 1655.0733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.95277\nAnswer: -1.90554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 243*l**2 + 1350*l.\nAnswer: 3*l*(l - 75)*(l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from {d: 4, q: 4, y: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 2*n, 0 = 3*n + 2*j - 3*j - 5. Suppose n*c - 16 = -2*q, -6*q + q + 4*c + 85 = 0. Is 7028\/14*(q\/2 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326117341 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 5*m - 10. What is o(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4)\/(105\/21)*20\/186?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 217074.\nAnswer: 1953666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 - -1888.84649\nAnswer: 1888.75649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121965443 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttvtvvvvvt. What is prob of picking 1 t and 1 v?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20464)\/(-280) - (-6)\/(-21). Are 72 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073 a factor of 5183663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 565658 to the power of 1\/2, to the nearest integer?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 12 = -3. Let z(s) = -2*s + f - s - 4. What is z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10*l - 8*l + 954 = 0, 4*q - 1914 = 2*l. Suppose -q = -w - w. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393665 by -190.\nAnswer: 78733\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m**2 - m**2 + 58*m**2 + 31*m**2 in the form n*m**2 + r + p*m and give n.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7869*f**3 + 14721*f**3 + 3 - 3.\nAnswer: 22590*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9350.36 centimeters?\nAnswer: 0.0935036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -506595764031*x**2 + 2*x**3 + 506595764031*x**2.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -746*a**4*o - 43486*a**4 + 3*a + 2*o + 5448566 wrt a?\nAnswer: -8952*a**2*o - 521832*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*2\/8)\/(-3)*173\/(-1211).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 11*t - 251. Let b be z(-22). What is the third biggest value in -5, 9, b, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 165.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 294?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 - 572?\nAnswer: -572.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-28*(-9)\/(-360)) + -7. Solve -5*v = p*x + 34, -5*x = -102*v + 101*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, r: 4, p: 1, m: 6}. Give prob of picking 4 m.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 183 = 0. Suppose -w - 13 = -0*a - 2*a, -k = 4*w + a. Let t = 22 - w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**2 + 3*r - 106*r**2 - 23*r**2 + 7*r**2.\nAnswer: -90*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278 and -0.4?\nAnswer: -111.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2436625505 and -70236.\nAnswer: 2436555269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, l: 2}. What is prob of sequence klk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*y + 260 = 0, k + 0*k = -2*y + 242. Let q = k + -215. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40*y**3 + 18*y**3 - 30*y**3)*(2 - 2 - 2*y**2) - y**5 - 3*y**3 + 3*y**3.\nAnswer: 103*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2 - 2*c**2 + 3*c - 2*c. Let y(k) = -2*k + 0*k**2 - 4*k**2 + 1 + 1. Let w(p) = -4*p**2 - 140*p + 297. Let g be w(-37). Determine g*y(t) + 2*x(t).\nAnswer: -2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 16*u**2 + 19*u + 8. What is the remainder when h(15) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + g - 46 = 0, -2*g + 4 - 2 = 0. Let v = -41 + o. Let a(u) = -u + 2. Give a(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 13*c - 28. Let w be h(-10). Solve 3*p**2 + 3498*p + 0*p**w - 12 - 3507*p = 0 for p.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4)\/1 - 3. Which is the nearest to 0.2? (a) 2 (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 562212*u**2. Let o(z) = -2*z**2. Give t(o(q)).\nAnswer: 2248848*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/(s\/s**(2\/17)*s))\/((s**(-1\/7)\/s*s)\/s**(4\/5))*(s**0*s\/s**1)\/(s**(2\/3)*s)**6 assuming s is positive.\nAnswer: s**(-13613\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 + 28*k**2 + 4*k + k**3 - 108*k**2 + 30*k**2 + 51*k**2 to the form j + o*k**4 + x*k**2 + y*k + t*k**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 + 4*l**3\/3 + 4*l + 2. Let x be n(-4). Let p = 1 - x. Let j(a) = a**3 + 4*a**2 + 2*a + 3. Give j(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 + 1121648*s**2\/9 + 2243290*s\/9 + 1121644\/9.\nAnswer: 2*(s + 1)**2*(s + 560822)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 22*n + 236. Calculate c(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 153 + 39 = 0. Let l = 3 - 4. Which is smaller: c or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 78 - 73. Suppose 255 = p*z - 0*z + 2*a, 5*z + 3*a = 250. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 14. Suppose 3*z = q*j + 42, -5*z = -j - 2*j - 71. Calculate the highest common divisor of z and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 2906 = -6*m - 4*p, 4*m = 5*p - 3873. Let s = -872 - m. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -226 (b) -5 (c) -3 (d) -10\/11 (e) -3\/7 (f) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 15*m + 25. Calculate the least common multiple of 2 and n(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 62, -2 in ascending order.\nAnswer: -2, -1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/170 + 48796\/5. Let y = x - -52241. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 7*p - 5. Let o be n(5). Let j be -1*(0 + -1) + -1. Suppose -q = -j*q, -i + 3*q = 0. Solve i = 2*a - o*a + g + 12, 0 = 3*g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzddddidizzdmzd. What is prob of sequence dm?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -2*s**2 + 0 + 0*s**3 - 5\/8*s**4 + 11\/60*s**5 + 0*s. What is the second derivative of p(b) wrt b?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 71 and 146 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 - 127644*c - 1357749228 = 0. What is c?\nAnswer: -21274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 424957387 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1320.4539283 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-138)\/(-9) + (203\/42 - 5)*-4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tudu when four letters picked without replacement from {d: 2, b: 2, n: 5, u: 9, t: 2}?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*x + 160*x - 23 + 225*x.\nAnswer: 306*x - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-6))\/(9\/6). Suppose -w + z = -74. Does 39 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**6\/120 + s**5\/5 - 2*s**4\/3 + 3*s**3\/2 - 4*s**2. Does 12 divide m(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/7, -0.4, 3, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6138, 12998, 19862, 26730, 33602, 40478?\nAnswer: 47358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 50 (c) 9846\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10*v = 5*v + 38, -2*v = 2*j + 52. Let y be (-4709895)\/j + 21\/56. Let m = 313246 - y. What is m rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-8)\/(-10))\/2 - (-1028)\/5.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 + 12\/(-4) + 2074 + -3.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18479*p**3 - 1 + 1.\nAnswer: 18479*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 2 n when four letters picked without replacement from {x: 2, n: 5, w: 4}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 smaller than 693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f**(-13))**(2\/5)\/((f\/(f**0*f))**(-28)\/((f*f*f**(-5))\/(f**2\/f))) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aea when three letters picked without replacement from eaeeeeea.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -77. What is the remainder when 50 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -485, -486, -487, -488?\n\"Answer: -h - 484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - -1.8. Let d = -3.727 + p. Let a = 0.022 + d. Round a to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 30 = -14*x. Suppose 6*k + 20 = k. Let c be k\/x*60\/(-40). Solve 4*y + c = 3*i, 4*i - 5*i = -y for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21 - 30443114?\nAnswer: -30443140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8849 + 8849 - 394668*j**3.\nAnswer: -394668*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 44 (c) 0 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 97.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000038167143 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7b0 (base 12) to base 13\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.0073 - 0.0073. Which is the closest to u? (a) -3\/8 (b) -3 (c) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 + 21 - 28 - 20)*(-105*t**4 + 9*t**4 - 116*t**4 + (4 - 5 - 1)*(-t**4 + 0*t + 0*t)) as k*t**2 + v*t**3 + x*t**4 + m*t + p and give x.\nAnswer: 14070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -24130214?\nAnswer: -24130210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -ccb1 (base 13) in base 6?\nAnswer: -340040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 6. Let d(t) = -t**2 - 4*t - 5. Let x(l) = 2*b(l) - 3*d(l). What is the tens digit of x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2112 and 2112.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1046.2578 hours to weeks.\nAnswer: 6.227725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52286 - 52370.027. Round a to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 0*o + 22 = 4*w + 2*o, 6*w + 50*o - 402 = 5*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -277. Let d = 133.1 - h. What is d rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 48. Let o be y(19). What is the units digit of (-53 - -50)\/((-1)\/o*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/2)*u)\/(u\/(u**(-2\/11)*u))*(u**5*u)\/(u*u\/(u*(u**(-2\/13)*u)\/u)) assuming u is positive.\nAnswer: u**(905\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 98*j + 197. Let q(n) = -104*n - 198. Let s(z) = -3*f(z) - 2*q(z). What is the units digit of s(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 2 + 5*h - 2 to v*h + k and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3442230 (base 5) to base 15\nAnswer: 13660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -0.3 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6*h - 13 = -3*h, 2*j - 5*h - 21 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = 1137 + 603. Suppose 3*g - 764 = -c. Is 27 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = -2*t, -3*t - 16 = 5*p. Put 12, 2, t in increasing order.\nAnswer: t, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -905304945289 and 0.71?\nAnswer: 905304945289.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6589709 nanometers?\nAnswer: 0.0006589709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27b299 - -30?\nAnswer: 27b2c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o\/o**(1\/3)))*o)**(-21)*(o**0*o)**42 assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16885 - 16764. What is the third biggest value in i, 1\/3, -0.3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (6 + -3 - -1). Let x be 2*3\/(n + -4). What is the units digit of 0 + x + 8\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -6*m - 33. Do m and -26\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/1020 + 7*b**5\/255 - 49*b**4\/204 - 3*b**2. Factor t(o).\nAnswer: -2*o*(o - 7)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) -21 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t - 33956*t**2 - 33892*t**2 + 67794*t**2 to the form h + u*t + r*t**2 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 124836883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2318 - -11589. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.58 - 1.265.\nAnswer: -0.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -14399\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 480428.6 times 0.3\nAnswer: 144128.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 7*g**2 - 5*g - 3. Let v = 9 - 5. Suppose -d - 9 = -m, 3*m = v*d - 0*d + 30. What are the prime factors of f(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 3, a: 1}. Give prob of sequence add.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 10 = 3*g, -2 = g - 83*o + 79*o. Let c(m) = m**3 - m - 2. Determine c(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6982465.14us to weeks.\nAnswer: 0.00001154508125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1156.76 + 298.54. Let j = -1369 + c. Let n = j - 88. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 91758556, 91758555, 91758554, 91758553?\n\"Answer: -q + 91758557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18474 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-4)\/(-8)). Let h be ((-15)\/(-75))\/((-4)\/5). What is the closest to d in h, 2\/9, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/77900 and 11\/3116.\nAnswer: 77900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (2\/1 + -3). Suppose -2*j + 6 = -y, 4*j + 2 + 10 = -4*y. Solve -n*o = 3*l, -3*o - 5*l - j - 5 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*q - 636224 - 327271 = -45*q. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(156)*2 + ((1*sqrt(156) - sqrt(156))*4 - sqrt(156)))\/(sqrt(588) + sqrt(588)*-2 + sqrt(36)\/sqrt(3)*-3))**2.\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 11*m**2 + 13*m + 19. Let c be y(-12). Let z(x) = 14 - 4 - c + 8*x**2 + 19*x**2. Is 13 a factor of z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - -2. Let w = 20 - u. Put 1, -4, w in decreasing order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {f: 1, k: 1, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1887, -3795, -5701, -7605?\nAnswer: -9507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3280.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**5\/4 - 83*r**3\/6 + 15*r + 137. Let n(q) be the first derivative of o(q). What is the second derivative of n(h) wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9.6 and -1\/167 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 4*a**2 + 0*a + 0*a**3 + a**3. Suppose 0 = 2*s + 8, 2*i + 111 = 2*s + 105. Let r(x) = 3*x**3 - 13*x**2 + 7*x + 1. What is i*t(b) + 2*r(b)?\nAnswer: -b**3 + 2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -34*w - 2008. Give b(-59).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -50a + 1?\nAnswer: -509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*b + 4. Let i be (-6)\/(-2)*(b + 3). Suppose i*t - 12 - 3 = 0. Solve 0 = t*w + 5, 2*n - 5*w + 2 - 7 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -1)\/(6 + -3). Suppose 4*z = j, -3*z + 2 = 6*k - 4*k. Calculate the greatest common factor of 3 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3339*d - 3339*d - 45835*d**2 + 45957*d**2.\nAnswer: 122*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-4) + 14\/2. Let f = 12 - l. Suppose 201*y - 196*y - 275 = 0. What is the greatest common factor of f and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2. Suppose -20 = -3*k + 7*k. Let h = k + 5. Let n(i) = 3*i + 0*i + h*i. What is n(o(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j. Let k be u(-2). What is the tens digit of 164\/k - (-6)\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/15 and -7\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 f when three letters picked without replacement from {y: 6, f: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36692 + 36691.99975319. What is m rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 5\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1423\/6 + 243. What is the common denominator of x and (6\/(-112))\/((-93)\/(-1426))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - x + 17 = 0, -25 = -4*f + f - 2*x. Find the second derivative of 3*d - 16*d**2 - 13*d - f*d wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000201 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(88))\/sqrt(2) + sqrt(44) - (-3 + (sqrt(1100) + 0 - sqrt(1100))*4)**2.\nAnswer: -9 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*r**6 + 572*r**5 + 543*r**5 + 9*r**6 + 404*r**2 + 11*r**6 - 2216*r**2 wrt r.\nAnswer: 120*r**3 + 66900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - (8 - (-948)\/(-84))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/3, -0.3, 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -23*f**7\/210 - 35*f**4\/24 + 22*f**2. Find the second derivative of n(m) wrt m.\nAnswer: -276*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5057219 is divided by 64836?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(-11 - 2445\/(-225))*-10. Solve 2*u + 141*x - 143*x = -a, 3*u - x = -5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) 2 (c) -2\/3 (d) -1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1304 = -4*v, -2*v = 3*a - 475 - 179. Let b = v - 288. Suppose 33 = 3*l - 0*l. What is the greatest common divisor of b and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -127.2 and -9.\nAnswer: -136.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Work out -23.9932 * -1.01.\nAnswer: 24.233132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1377, 2758, 4177, 5652, 7201, 8842, 10593?\n\"Answer: 3*a**3 + a**2 + 1357*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126 + 1816 + 2*y - 3202.\nAnswer: 2*y + 740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 1430.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7961 - 1034 = 3*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.003 - 0.997. Let t = -0.8 - j. Put t, 1, 0 in increasing order.\nAnswer: 0, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-74)\/(-44) + (-6)\/33. Let i = -0.2505 + 0.0505. What is the fourth smallest value in -4, i, g, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111102100002 (base 3) to base 9.\nAnswer: -442302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49631 divided by 31.\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 6*s - 1. Let p be v(-5). Let t(m) be the first derivative of 0*m - 2 - 1\/10*m**p - 2\/15*m**3 + 2\/5*m**2. Determine w so that t(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 123997 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-185)\/525 + 2 + 96\/(-56).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -602 > -602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/60*b**6 - 1\/30*b**5 + 0*b + 0*b**4 - 2*b**2 + 0 + 0*b**3. What is the third derivative of r(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.77, -2\/3, -0.1, 12453\/5.\nAnswer: -0.77, -2\/3, -0.1, 12453\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqmqommoomqmm. Give prob of sequence qq.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 272 - 362. Calculate the remainder when 592 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 3) in base 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 9*y + 14. Let w be p(-11). Let o = w - -4. Let b be (1*-3)\/(6\/o). Let u(l) = 3*l - 3. Determine u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014182 plus -31.3?\nAnswer: -1014213.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14*(5\/15*1)\/(-2)*-3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 279270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-20 - -16) + (-2 - -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41960, 83927, 125904, 167897, 209912, 251955, 294032, 336149?\n\"Answer: d**3 - d**2 + 41963*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, 1156\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 1224937\nAnswer: 1\/1224937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28899 and 3211?\nAnswer: 28899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(1 + (-3 - -3)). Solve -3*t - 4*z + 32 = p, -t - 4*z + 10 = -14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 24 - 16 = 0. Let o(p) = 19*p**2 - p - 2. List the prime factors of o(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x + 20. Let m be t(6). Let z(w) = 5*w - 10. Let g be z(m). Solve g*r = r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61.54 + 0.54. Let q = y + 61.0000014. Round q to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(8)*1 + sqrt(8)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 612 + -619. Let r be 0*(-1)\/(-2) - 1. Which is smaller: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Suppose -2*q = -j + 9, 2*q = 3*d - 20. Solve -d*h - 2*f + 2 = -h, -2*f + 6 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4 (b) 1\/7 (c) 0.0951 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Let i = g + -3. Let l = 0 + -0.4. Which is the nearest to i? (a) -5 (b) 1\/2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.233918 and -180525.\nAnswer: -180526.233918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is 265 (base 7) in base 5?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*1*1\/2. Suppose -23236 = -6*h + h - 4396. Suppose m*c + 2*c - h = -3*v, 5*v = 4*c + 6317. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -5*p**3 + 2*p**2 + 2*p - 1. Let z(a) = a**3 - a. Let f(r) = d(r) + z(r). Let i(m) = -m**2 + 5*m - 1. Let l be i(5). What is the units digit of f(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 0.2 (c) -51.45 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0 + 7\/24*c**4 + 3\/2*c**3 + 0*c + 2*c**2. Let x(h) = 10*h + 13. Give -7*k(u) + 5*x(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.3, 1 in decreasing order.\nAnswer: 1, 3\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - h + 1. Let d be 3\/(-2) - 2\/(-4). Let r(w) = 4*w**3 + 7*w**3 + 13*w + 5*w**3 - 2110 + 10*w**3 - 19*w**3 + 2104. What is d*r(j) - 6*m(j)?\nAnswer: -j**3 - 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.41 and -46561.6.\nAnswer: -46562.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6*(-438)\/2. Suppose 101 = 5*c + p, 3*c + 5*p = -8 + l. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6956.\nAnswer: 2, 37, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/11227 and -79\/64092.\nAnswer: 6601476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 + -6 + 3278\/495. What is the closest to -2 in 2\/5, -15, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (616\/(-35))\/((-3)\/5). Let n = 29 - p. Let z = 2284\/55641 + -2\/1091. Is z greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 56 + 0\/(-5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0 + 3*i + 4*i**2 + 2 - 2*i - 2*i**2. Differentiate p(j) with respect to j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 divided by -10234?\nAnswer: -167\/5117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 14020.32902 to the nearest 100.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -77*c + 206. Calculate f(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (241*c + 401*c + 313*c - 199 + 201)*(1 - 2 - 2*c - 3) to u*c + w + a*c**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -15\/169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/84 and -13\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*(4*5*sqrt(2736)*2)**2 + 6*(sqrt(2736) + -1 + sqrt(2736) + 1)**2 + 2.\nAnswer: 8820865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2312 - 21?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 32 = -0. Suppose -p - 4 = -f. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 0*r + 3*r = -8, -4*r - 607 = 32*j - 495 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5311430 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 58*q + 3540 = 7240 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = 0, 0 = 3*a - 5*k - 9 + 332. Let o be (113 - 4) + (0 - 4)\/(-4). Let r = a + o. What is the greatest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + q**3 - q**2 + 17*q - 3 + 12 to the form a + i*q**3 + n*q + v*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 405 + 24405. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 2*b**2 - 4*b - 4. Let u be c(4). Let o be (-3)\/2 + (-26)\/(-4). Suppose o*n = 32 + 28. Calculate the highest common factor of n and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26511*m**2 + 6627*m**2 + 6625*m**2 + 6640*m**2 + 6621*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -5*o + 342. Suppose -o = 9*j + 6. Let v = 8 + j. Calculate the highest common factor of 22 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -4.123.\nAnswer: 0.4123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 328433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**3 + 8*d**2 + 7*d + 5. Let n(a) = -4*a**3 - 8*a**2 - 7*a - 6. Calculate -5*n(u) - 6*o(u).\nAnswer: 2*u**3 - 8*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w. Let h(b) = 4*b - 5. Let s(g) = -5*g + 6. Let z(f) = -6*h(f) - 5*s(f). Determine k(z(l)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 40*i - 117 + 235 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 24870 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8477749435?\nAnswer: 5, 1695549887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29117 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 3*u**2 - 4*u + 2. Let h = -3645 + 3641. Let t(c) = c - 1. Give h*t(m) - r(m).\nAnswer: m**3 + 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -4*a + 181. What is a rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**2. Let f(c) = c + 1. Let a(o) = o + 1. Let p(k) = -4*a(k) + 3*f(k). Let u(w) = -4*w - 3. Let t(j) = -6*p(j) + 2*u(j). Calculate t(g(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -139216 and -2.\nAnswer: -139218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136286*r**5*z + 8*r**2*z**2 + 243*r*z**2 - 10*r + 40632*z wrt r?\nAnswer: 2725720*r**3*z + 16*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**4\/3 - 155*w**3\/3 + 4158*w**2 + 8520*w = 0.\nAnswer: -213, -2, 0, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 484 + 231. Let r be (3 - 5)*v\/(-10). What is r rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/366 and 85\/144.\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4754.04 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + -2 - (0 - -2). Suppose n = 3*c - 716 - 103. Suppose -g - 6 = 3*t - 111, 3*g = 5*t + c. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2172.265794 rounded to 1 decimal place?\nAnswer: 2172.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 793487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159854, -319907, -479956, -640001, -800042, -960079?\nAnswer: -1120112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a + a)*(-4*a**3 + 0*a**3 + 6*a**3) + 156*a**2 + 10*a**4 - 156*a**2.\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10435 is divided by 174?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 6:30 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.062 (b) -4 (c) 2 (d) -0.5 (e) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -m + 524. Let v = m + 278. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 8*x + 4. Let z be h(-8). Suppose -z*c - c = -10. Factor -b**c + 17*b + b**4 - 6*b**4 + 4*b**3 + 2*b**5 - 17*b.\nAnswer: b**2*(b - 1)**2*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.9 + -0.4. Let i = q + -0.9. What is the closest to -0.1 in i, -1\/3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-54)\/45 + 2\/10. Let k = 0.2 - 0.2. Let v = 0.1 - k. Is r not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 12*n + 32. Let k be j(14). Let m be 623\/(-21) + k\/6. Let p = 38 + m. What is the remainder when 24 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6560 and 19\/32?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/16 and -97\/440.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 40*s - 36*s + 188*s - 42*s - 26*s - 37*s.\nAnswer: 7*s + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2 + -3*(sqrt(125) + 1) + 4)*6)**2.\nAnswer: 1440*sqrt(5) + 40564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0.016 (c) 1.9 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210583228 a multiple of 959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*2 - (sqrt(28) + (sqrt(28) - 5*sqrt(84)\/sqrt(3))))\/((sqrt(200)\/sqrt(45) + sqrt(40))\/sqrt(10)).\nAnswer: 27*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstzsszttssszssstes. Give prob of sequence ess.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 12 = t. Let i be t*(-1 + 4\/2). Let h(o) = -o**3 - 7*o**2 - 6*o + 3. Give h(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -5.10851.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169715276 by -1195178.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6230700.81 - -5838735.309. Let c = r - -392180.500889. Let y = c - 215. Round y to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -734620 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1889580 divided by 1636.\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-6\/7)\/b)\/b)\/((b*(b*b*b**(2\/3))\/b)\/b*b)*(b*b\/(b\/b**(1\/8)))\/b**(-2\/23))**48 assuming b is positive.\nAnswer: b**(-25594\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - k - 8, -3*q + 92*k + 4 = 93*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4, 6 = h - 2*g - g. What is the third derivative of h*v**4 + 2*v**4 - 6*v**4 + 9*v**2 - v**2 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 0, -7*g + 3*g + 4*u = -36. Solve -g*x = -16 + 43 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*y + 0*y = 21, -5*y - 30 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-2)*(-4)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 8*j**2 - 206*j + 320. What is k(11)?\nAnswer: -978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**4 + 126*p + 7?\nAnswer: -4*p**3 + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(-17)))**(-1\/46) assuming i is positive.\nAnswer: i**(17\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 7:51 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8 + 7*b**2 - 6*b + 13*b**2 - 1 - 9*b + b**3 + 6*b**2. Is z(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 1 - 3*691. Let z be (-25119)\/12 - (1 - -2). Let w = m - z. Find the common denominator of w and 61\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 950695692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173487735939 - -25.\nAnswer: -173487735914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -75, -154, -265?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3035*l = -191*l + 17023*l + 27900 + 165258 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 333\/36 + (15 - (-915)\/(-60))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - u**2 + u - 1. Let r(q) = -6*q**3 - 4*q**2 + q - 2. Suppose 47*t - 60 = 32*t. Determine t*f(x) - r(x).\nAnswer: 2*x**3 + 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 1, -1, 5 in decreasing order.\nAnswer: 11, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1163069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (-4 + 12)) + (-29 - 24 - 4).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-21)\/630*15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6*-10*3\/(-2). Let w be (m - 2) + (-6 - -6). Solve w*f - 3 = -0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - 2*i - 2. Let z be s(-2). Let k(d) = -2*d + 20. Let g(t) = -3*t + 20. Let x(p) = z*k(p) + 3*g(p). Does 9 divide x(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413 + -421 + -3 + 1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7 + 3*r + 2 - 3. What is z(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -4) + 1 - 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 182716924?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -16039 * -4\nAnswer: 64156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 214 - 184 = 0. Calculate the remainder when 11 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(858\/4))\/(0 - (-1)\/9). Let 0 - 18\/13*t**5 + 6\/13*t**2 - 4\/13*t - j*t**4 + 22\/13*t**3 = 0. What is t?\nAnswer: -1, -2\/3, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 - -2.65. Let q = d - 2.5. Which is smaller: q or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2431*s**3*y + 259*s**3 - 2*s**2 - 21*s - 170934*y wrt s?\nAnswer: -14586*s*y + 1554*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -129069977\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11628706, -11628736, -11628770, -11628808, -11628850, -11628896, -11628946?\nAnswer: -11629000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfffffffqqfq. What is prob of sequence fff?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -346*k - 7. Let u(w) = 353*w + 5. Calculate 2*g(x) + 3*u(x).\nAnswer: 367*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1504 and 22.3372.\nAnswer: 33595.1488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 = -3*f, 3291*o - 3293*o - 4*f + 8 = 0. What is the greatest common factor of 1660 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 - 39. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 68\/(-102)*(0 - 3). Factor 0*s + 2\/3*s**5 + 2\/3*s**2 + 0 + 2*s**4 + k*s**3.\nAnswer: 2*s**2*(s + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 0 - (3 + (-1 - 23)). Let t = 39 - z. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -24, -1, 0, -2\/7, -0.3?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = 5*j, 2*j - 4 - 2 = 0. Let y be q + (4 + -5)*4. Solve -f + 2*l = y, 2 = -2*f + 2*l - 5*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -255*l + 2252. What are the prime factors of d(-8)?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + 24 + 14 + -30 + -10\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(117) - (sqrt(117) + -2*sqrt(117))) + sqrt(117))\/(-2*sqrt(144)))**2.\nAnswer: 1053\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -25*g**2 + 4*g + 258. Let p(s) = -16*s**2 + 3*s + 171. What is -5*m(w) + 8*p(w)?\nAnswer: -3*w**2 + 4*w + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(156) - sqrt(156)*2)*-5)\/((sqrt(1200) - (sqrt(1200) - (sqrt(1200) - sqrt(1200)*1*-1))) + sqrt(1200) + sqrt(1200)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*-18*22\/165?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30 + (4 - 1)\/(-3). Suppose c = 5*o - 16. What is the second derivative of -3*z - o*z**2 - 10*z + 4*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -81*a**2. Let u(z) = 9*z. Determine l(u(j)).\nAnswer: -6561*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -155?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 4 + (-2 - -3). Let k(g) = 1. Suppose 5*b = 4*y + 24, 5*b - 6 - 16 = 2*y. Let h(d) = -d**2 + 7*d - 8. Let m(w) = y*h(w) - k(w). Determine m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.1104 to 1 decimal place.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 5*r + 78 = 2*t, 2*r = -2*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 g, and 1 y when four letters picked without replacement from {u: 1, g: 2, i: 8, y: 9}.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75.129 + -75. Let c = v + -0.251. What is c rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 greater than 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 43 - 118. Solve -5*y - 5*v = k, 5*y + 7 = -3*v - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.8 + 9. Let l = -45.86 - -46.86. Which is the second smallest value? (a) 0.24 (b) r (c) 2\/9 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 121*i**5\/5 - 541*i**4\/6 - 70*i - 2. Find the third derivative of s(l) wrt l.\nAnswer: 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 6\/(-27) - ((-220)\/48)\/((-24)\/(-127072))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (2 + sqrt(76) - sqrt(76))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, w: 3, s: 1, f: 3, g: 3}. Give prob of picking 1 f, 1 l, and 2 g.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 13*o + 17. Let y(h) = -2*h**2 + 13*h - 18. Let j(s) = -5*d(s) - 4*y(s). Let n(a) = -3*a**2 + 6*a - 6. Determine 6*j(v) - 13*n(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 5*u + 6. Let i be p(4). Let r be 3\/3 - (i + -3). Let l be 4\/((-3)\/(6\/(-4))). Solve -3*k + l*k = -4*m + r, -6 = 3*k - 3*m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013353 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a = -98*a + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**3 + 9*f**2 + 3*f + 33. List the prime factors of b(10).\nAnswer: 3, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 - 161. Solve -f*b + 2*k + 25 = k, 3*k = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) + (0 + sqrt(637))**2 + -4) + 5.\nAnswer: -1261 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 5*w**2 + 288*w - 1367. What is l(8)?\nAnswer: 233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**2 + 4*s**2 - 109770 - 4*s**2 + 3*s**2.\nAnswer: s**2 - 109770","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -241*r + 244*r + 3*v, 5*v + 20 = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:47 AM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.5 - 2.5. Let x = u - -10. Let v(h) = 5*h**2 - 20*h + 4. Let t be v(4). Which is the nearest to 0.1? (a) 4\/7 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 69 = -5*b. Suppose 0 = -5*c - b + 65. Suppose 375 - 357 = 3*g, -5*v - 4*g = -124. What is the greatest common divisor of v and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -7*i**2 - 3*i + 3. Let l be 92\/20 + (-2)\/(-5). Let g(v) = 13*v**2 + 5*v - 5. What is l*f(j) + 3*g(j)?\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*v - 27*v + 80*v - 21*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) 36 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*z - 2*z**4 - 7*z)*(-2 + 1 + 0) + (13*z - 13*z + 8*z**2)*(-11*z + 11*z + 17*z**2) to r*z**2 + o*z + a*z**3 + c*z**4 + t and give c.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*q = 2*q - q - 5, 0 = -15*a - 7*q - 34 + 87 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10 - 8 - 2 + 0*s**3 - 3*s - 36 + 15*s**2 - s**3. What are the prime factors of m(13)?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = o - 3200, 5 = -5*o. Let b = -634 + i. Factor -b*g**2 - 3*g**4 + 0 - 15\/2*g**3 - 3\/2*g.\nAnswer: -3*g*(g + 1)**2*(2*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/17 (b) 15 (c) -2\/3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*d + 45344 = 0, 3*n + d = 15515 + 18513. List the prime factors of n.\nAnswer: 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -5 + 5*(0 + 4 + (sqrt(112) + 3*sqrt(112))*1)*2.\nAnswer: 31 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 + 1249*v\/4 + 78 = 0. What is v?\nAnswer: -312, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + 3 + (-48 - -3 - -8).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -464 = 4*r - 49*r + 391. Solve 10*j - 18 = r*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2564584728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 11*b**7\/15 - 3*b**5\/10 + 4799*b**4\/24 + 33*b**2 + 4*b - 12. What is the second derivative of f(s) wrt s?\nAnswer: 1848*s**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3724\/(-466) - ((-6)\/(-14))\/((-2823)\/52696)\nAnswer: 2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1447 + 36422.\nAnswer: 37869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruuuurqkluuuiquiiuq. Give prob of sequence lq.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 663, 666, 669, 672, 675, 678?\n\"Answer: 3*k + 660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdjssyvjjsjddjjjd. What is prob of sequence ssss?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -110?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -971*g + 966*g + 121 = -8*k, 0 = 7*k - 3*g + 99 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 2*s - 3. Let f be 4*(-2 - (-15)\/6). Let j be v(f). Suppose d + 0*d - 8 = 2*l, 16 = -2*d - 4*l. What is the nearest to 0.1 in j, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2db8 (base 14) to base 13.\nAnswer: -3968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**2 + 0*f**2 - 5*f**2)*(-3*f**2 + 3*f**2 + f**3) - 3*f**5 - 1 + 1 - 11*f**5 + 22*f**5 - 95*f**5.\nAnswer: -88*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -60*p - 35. Let a(w) = -5*w - 3. Let f = -4857 + 4854. Calculate f*m(i) + 35*a(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187 + 187.073. Let v = -0.027 - g. What is the fourth biggest value in v, 0.1, 4\/9, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 + 54538704*i**2 + 131861979*i wrt i?\nAnswer: 6*i + 109077408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -917 - -1335. Is h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*l - 487 = 2*l, 0 = -l - 3. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 622 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(4\/1) + -8. Let z(f) = -7*f - 12. Calculate the lowest common multiple of z(h) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*t - 5*r - 25, -24 = -t + 4*r. Let s be 1\/2 + (-14)\/(-4). Suppose s*p + p = -t. Which is the second biggest value? (a) -2\/9 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/268 + -21\/134. What is the fourth smallest value in q, 7, -5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = a - 15. Suppose 0 = -t + 53 - 43. Suppose -3 = -5*m + v + t, -5*m = -5*v - 25. What is the lowest common multiple of m and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990 divided by -165.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003587742 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 4*g - 6. Let k be 4*3*4\/(-8). Let h be a(k). Let q(o) = -o**3 + 6*o**2 + o. What is the least common multiple of q(h) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104303 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 10 = -10. Which is the nearest to 0? (a) h (b) 0.02 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -614582959 by -9689.\nAnswer: 63431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8196736 rounded to 3 decimal places?\nAnswer: -4.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t + 1. Let r = 2 - 4. Let i be ((-5)\/r)\/(5\/10). Suppose 19 = 2*w + 5*d, -4*d - d + 5 = -i*w. Let l(o) = -17*o + 4. What is w*l(q) - 9*a(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 267?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -24*(2 + (-2 - 1)). Suppose 3*j - o = -0*j - 3*s, -s = -2*j + 1. What are the prime factors of (1 - j) + 16\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -29 + 2. Let i(a) = -3*a + p*a - 7*a - 17. Suppose 0 = 2*w - 5*m - 2, -w - 2*w - 3*m = -45. Let g(t) = 6. Calculate w*g(d) + 4*i(d).\nAnswer: -4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 8}. Give prob of sequence gc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -405.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 + 23*y**2\/2 - 16*y + 40. Is x(16) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/128 and 119\/80.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 + 48. Suppose q + 4*z - 10 = z, -c = 4*q - 2*z. Solve u - q = -4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2389 times 31061\nAnswer: -74204729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(6)*4 - -3*sqrt(1078))\/((sqrt(80)\/(-2*sqrt(5) + sqrt(5)))\/sqrt(2))*-1.\nAnswer: 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-135 + 64 + 73)*(-1 + 2 - 2)*(-c**2 + c**2 - 3*c**2) to k + q*c**2 + x*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 d when three letters picked without replacement from {j: 1, g: 3, d: 11}.\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 817, 8, 2904?\nAnswer: 817","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -45174*a + 90426. Calculate r(2).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -3*b. Suppose j = b*z - 17, 3*z - 7 = -j + 6. Suppose -z*m + 3*g = 8, 16 = -m - 2*g - g. Sort 0, 3, m in descending order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 3*w**2 + w - 2. Let h(j) = -4 - 1 + 3 - 3*j + 6*j**2 + 4*j**2. Let q be h(-1). Let r be 1\/(-4) - q\/4. Give x(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -129, -127, -123, -117?\n\"Answer: j**2 - j - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3195444842.\nAnswer: 2, 1123, 1422727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(50) - (1*sqrt(50) - sqrt(50))))\/((sqrt(40)*3)\/sqrt(4) + sqrt(10)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232 a factor of 293046297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1731 or 5?\nAnswer: 1731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + -1*sqrt(24)*-1)\/(sqrt(88)\/sqrt(704)).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39562 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.59 and 29.25886.\nAnswer: 29.84886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0339*1441\nAnswer: -48.8499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-620)\/30 - -20)*3\/2. Which is the third smallest value? (a) j (b) -4 (c) 1\/5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5. Let c(b) = -1. Let h(l) = -9*c(l) + 2*w(l). Let x(d) = -d**2 + 3. Let t(g) = 2*h(g) + x(g). Factor t(z).\nAnswer: -(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -41*u + 1680. Calculate the smallest common multiple of (128\/9 + (-14)\/63)*2 and u.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4287 + 3599.1.\nAnswer: 7886.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*t**3 - 19*t - 1146?\nAnswer: -24*t**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 14*m**3 - 110*m**2 - 2596*m - 11. Let v(c) = 5*c**3 - 40*c**2 - 865*c - 4. Determine -4*o(x) + 11*v(x).\nAnswer: -x**3 + 869*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-70)\/(-10)*5*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(s + 2*s - 4*s) + (s - 3*s + 3*s)*(1 - 3 + 4) + 46 + 0 - 2*s - 11.\nAnswer: -s + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 90 = 94. Suppose -4*k - 5 = -0*z - z, 0 = -v*z + 20. Which is the second biggest value? (a) 5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/29, 2\/167, -3\/4?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4)*(-10)\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 351 - 342. Let j(x) = x**2 - 7*x - 13. Let b be j(c). Solve 8 = -3*v + b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*x**2 - 712*x**2 - 285*x**2 + 18*x**2.\nAnswer: -914*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(175) + sqrt(7))*-4 - sqrt(7))*1*-3)**2.\nAnswer: 39375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 384314 (base 11) in base 15?\nAnswer: be83d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1186973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2891071620?\nAnswer: 2, 3, 5, 16061509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbllllbmblbbmbzllzll. Give prob of sequence blzz.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-897)\/2392*(-2)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-3\/8)*m*m**12*(m**(5\/3))**15 assuming m is positive.\nAnswer: m**(309\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -455, -1042, -1873, -2954, -4291?\nAnswer: -5890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**4\/4 + 4*w**3\/3 - 5*w**2\/2 + 6*w + 90. Give h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.1 + 29. Let w = 73\/5 + -29\/2. Which is the closest to m? (a) w (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Suppose 0 = -l*w + 4*w. Solve w + 1 = 2*c + 3*d, -c = -3*d - 14 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2299)*-1*2*-4 - (sqrt(2299) + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 3 - sqrt(2299))) + -3 - (-1*sqrt(2299)*-4 - sqrt(2299)))) + -2)**2.\nAnswer: -704*sqrt(19) + 147152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1260, 5620, 12502, 19386, 26272?\nAnswer: 33160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2116 - -0.1116. Which is the closest to 1\/2? (a) -0.3 (b) k (c) -3\/7 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*m**2 - 277588*m - 111032.\nAnswer: -4*(m + 13879)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 - 56. Let m(u) = u**3 + 16*u**2 + u + 24. What is the remainder when 13 is divided by m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1145473 millimeters?\nAnswer: 0.0001145473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*i + 23 - 43 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.9007272 rounded to 2 dps?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-65)\/(-10))\/((-1)\/(-14)). Let a = b + -79. Factor -3*m**2 + 424 + a*m - 424.\nAnswer: -3*m*(m - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -266*i + 129. Let g(q) = 2*q - 3. Let t(p) = -2*g(p) - r(p). Differentiate t(y) wrt y.\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 9 = 300*g - 302*g - 3*u, -35*g - 5*u = -85 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16\/240*-5 - (-2492)\/6 is divided by 90.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6880, 7, 46 in decreasing order.\nAnswer: 46, 7, -6880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -168 + 109. Let o = j - -59.084. Let p = 0.026 + o. Round p to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000040066381 to seven dps.\nAnswer: -0.0000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24227807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 101*u**2 - 1466*u + 157. Let x be o(114). What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3 = 2. Let f(k) = -2*k**2 + 2*k - 1. Give f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 9:57 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29652 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/835 - -11859\/835. What is the third smallest value in d, -1\/8, -0.4, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d + 132. Calculate f(0).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16 - 11 - 17*n - n**2 + 12. Let r be g(-15). Let q = 1 + 0. Solve -4*x + q = 4*z - r, 16 = 4*x - 4*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) + 130\/15. Let k = 5 + y. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Suppose 5*l = -13 - 32. Let p = w - l. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18664069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from ffzuuvu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 18 = 2*r. Let v be ((-4)\/r)\/(4\/(-18)). Let g(w) be the third derivative of -w**5\/30 + w**4\/8 + w**3\/6 - w**2. Calculate g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15.3 + -14.8. Put 0.4, s, -5\/53 in decreasing order.\nAnswer: s, 0.4, -5\/53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i + 2. Let u be k(0). Suppose 12 + 3 = 5*d. What is the remainder when (6\/u - -2) + 2 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12463248 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*u + 594*u = 32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24545?\nAnswer: 5, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 10 + (9 - 13) + 15\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 250 = 50*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -3. Let x = -2260.4 + 2256.4. Which is the nearest to -2\/5? (a) x (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133690385 to the power of 1\/2, to the nearest integer?\nAnswer: 33670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 14.5122184.\nAnswer: -18.5122184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32870 and 143629790?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(105\/(-49))*-3 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112211088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 23328937\nAnswer: 1\/23328937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b - 2*b)*((2 - 1 - 3)*(-6*b - b + 3*b) + 3 + b - 3).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -46, -178, -436, -862, -1498?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 AM and 11:16 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2354 and 98832.\nAnswer: 116325264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -3, -20, 0, 2 in decreasing order.\nAnswer: 9, 2, 0, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*f - 8, 7*o + 10 = 2*o. Let a(s) = s**2 - 5*s - 28. Suppose -12 - 20 = -4*m. Calculate the lowest common multiple of m and a(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f**2 + 119*f + 104. List the prime factors of q(-30).\nAnswer: 2, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.6222 milliseconds to seconds.\nAnswer: 0.0416222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = -2*y, -4*x + 0*x - 4 = 0. Suppose 3*z - 4*z - 2*u = -y, 4*z + 4*u - 16 = 0. Suppose -7*l + z = -6*l. Solve l*n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196110 is divided by 98.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 20*w**2 + 2*w + 24. What is n(-20)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 74938870*o**2 + 30262339?\nAnswer: 149877740*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 162.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 - 6*j**3 + 27*j**2 + 108*j - 324.\nAnswer: -(j - 3)**2*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 124921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 40*o - 779. What is p(22)?\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = 3*d, -7*g + 6*g + 4*d - 8 = 0. Let i(r) = -2*r**3 + 14*r**2 + 15*r + 10. Let s be i(g). Let w = -3 - -4. Sort 0, w, s in ascending order.\nAnswer: 0, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {p: 3, d: 6, f: 1, b: 2, h: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 = -3*z, 0 = 4*l + 3*z + 11 - 0. Let m be l\/((2\/10)\/((-12)\/10)). Suppose -3*p - r = 2*p + 27, -p + 4*r - 18 = 0. Are p and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4086 and 3441480?\nAnswer: 2343647880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -4*x + y, -3*x - 5*y + 109 = x. Let t = x + -11. Let i(u) = -u + 9. Let a be i(4). Solve t = -a*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2. Let v(t) = t + 1. Let h(a) = -a**2 - 3*a - 14. Let x(k) = -2*h(k) - 6*v(k). Let l(n) be the first derivative of x(n). Determine l(p(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12651.2726 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 divided by -1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a factor of 1117593455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1214 (b) 2\/55 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74512 = -t - 149019 + 74505, -7 = -5*z + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369 rounded to the nearest 10?\nAnswer: 1370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clccscssuvscscvcc. What is prob of sequence cvcs?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 260037 = 4*k, -4*k + 158234 + 101818 = 4*r. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 954, 3793, 8516, 15123, 23614?\n\"Answer: 942*c**2 + 13*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**2 + 29*l**5 - 38*l + 9*l**5 + 11*l**2 wrt l?\nAnswer: 760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35330, -70655, -105974, -141287, -176594?\nAnswer: -211895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + (-2 - (-1)\/1). Find the second derivative of s**2 + 3*s**g - 4*s**2 - 6*s + 12*s**3 wrt s.\nAnswer: 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21325 - 21320. Let l = -435 - -8263\/19. What is the third smallest value in 3, g, -3\/8, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57935553151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -12 + 16 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201098 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 497350 divided by 5\nAnswer: 99470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52*x**3 - x**2 + 3*x - 1. Let g be i(-2). Let v = 52 + -50. What is the tens digit of 2\/(-8) + v\/(40\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12395 divided by -2479\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**4 + 163583*l - 163583*l + 13*l**3 + (2*l**3 - 2*l**3 + 2*l**3)*(l - 6 + 6).\nAnswer: 6*l**4 + 13*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 plus -7400671?\nAnswer: -7400670.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -847 = 22*u - 3773. What is the least common multiple of 91 and 6\/(-14) - (-988)\/u?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*n - 2. Suppose 5 - 11 = -n*a. Solve 0 = a*f - f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4822 - 4823. Let o(p) = -4*p**2 + 3*p + 5. Determine o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 31. Suppose 0 = s*h + 4 - 10, 1367 = d + 2*h. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 9. Let x be u(-4). Suppose -o + x*o = 0. Let s = 454 + -16796\/37. Is s at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**2 + 17*b**2 + 19*b**2 + 11*b**2 - 63*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720165?\nAnswer: 3, 5, 41, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 96 = -116 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sstsjjsttsts.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 5*m - 25 = 0, 4*m - 20 = 0. Let r be (-5)\/4*(-4 - (5 - 1)). Let c(h) = -56*h**2 - 3*h**3 + 55*h**2 + r + 2*h**3. Give c(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 996793522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 8:27 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25660 is divided by 12733.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 7. Let x(a) be the second derivative of 3*a**2 - 246*a. Calculate 4*l(z) + 5*x(z).\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1210 + 1355 - ((0 - 2 - (-9 - -2)) + 1)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174073095 to the power of 1\/3, to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*-2*sqrt(144)\/sqrt(4)*1)\/(-6*-2*-2*sqrt(12) + -1*sqrt(588)*-4))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -9*d - 8. Let r be -1*d\/(-2)*0. Is (6 + 761)*(1 + r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p + 9. Let g be u(7). What is the tens digit of 2 - g\/(5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82048.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 2. Let p be (-152)\/6 - s\/(-3). Is (p\/(-8))\/((-4)\/(-16)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2704)\/(-1183)*14\/20\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 6, j: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*a - 180*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373012.\nAnswer: 2, 93253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2856 + 2855.5. Let w = 0.04 + 4.96. What is the smallest value in w, 0, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-156160)\/(-180) - (-12)\/27.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*p - 3672 = 63*p. Suppose 4*i + p = -2*x, -4*i - 12 = 8. Is -296 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -65*y**4\/8 - 2*y**2. Let v be b(1). Is (-2)\/(-12) - v\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 20. Suppose -3*k = -f*k. Suppose -3*j - 58 = -5*p, 2*j - j + 1 = k. What is the least common multiple of p and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 3. Let w be (-4)\/m - 99\/(-27). Let r(f) = -126*f**2 - 4*f + 0 + 125*f**2 - w. What is r(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42477.\nAnswer: 3, 14159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 5*v**2 + 67*v + 139. Let k be b(-11). Solve -d - 9 = -4*i, 5*i - 8*i = -d - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vvucv.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 + 18. Let k = -29 + q. Let s = k + 20.00000085. What is s rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 20*c + 2*j + 34 = 0, -7*j = -3*c + 170 - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 - -242. Let y = g - 206. Let z = -59.9948 - y. What is z rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (584 - -1)*(-20)\/12. Let j = n - -1459. Suppose -2*w = -j + 78. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68*-320512.\nAnswer: -21794816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351035306*o**4 - 193206454*o**2 wrt o?\nAnswer: -8424847344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqqp. What is prob of sequence pqpq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-240)\/(-225))\/((-4)\/(-10))*3. Solve 0 = -4*z + 5*z + 4*j - 4, -4*j = 4*z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 0, 6430, 4, 5 in decreasing order.\nAnswer: 6430, 5, 4, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520)\/(-364)*(-21)\/35*(-385)\/5.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 54.\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20*t + t + 26*t - 87 + 14*t wrt t?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-14) - 54074\/(-665). Let x = -81 + q. Factor -12\/5*n - x*n**2 - 9\/5.\nAnswer: -3*(n + 1)*(n + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, 7\/10, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -386*g**3*p**3*q - 8*g**3*p**3 - 109*g**3*q + g**2*p*q - 6*p**3 - 23955*p*q wrt g.\nAnswer: -2316*p**3*q - 48*p**3 - 654*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9319 - -19760. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4556 divided by -2?\nAnswer: 2278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/14 - (-2)\/7. What is the remainder when 5 is divided by 20\/7 + r\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18303, 18304, 18303, 18300?\nAnswer: 18295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 48 + 18 = 0. Let x be 2\/8 - (-664)\/32. Let v = w - x. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 3*z - 3, -14*w - 5*z + 97 = 92 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7 - 218\/(-28))*2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/8)\/(q\/(q\/(q\/(q**21\/q)))) assuming q is positive.\nAnswer: q**(149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -345298.4754752 + 26?\nAnswer: -345272.4754752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*c - 89 = 0, 88 = 8*p - 4*p + 4*c. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1)\/(c\/(c**(3\/2)*c)))\/(c**(5\/3)*c*c\/c**(-2\/3)*c))\/((c**(2\/21)\/(c*c**3\/c*c*c))\/((c\/c**(4\/5))\/c**(4\/5))) assuming c is positive.\nAnswer: c**(-37\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 303319 and 295.\nAnswer: 1516595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96629824*o + 96629824*o - 6*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24206198*w**3 + 24206190*w**3 - 48412374*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*t - 2 - 4, -5*t = -a + 2. Suppose 22 = b + a*s - 101, -3*b + 5*s = -336. Is b a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 4. Let t(s) = -4*s - 5. Let q(r) = -5*m(r) + 4*t(r). Let u be q(2). Is 2 + 0\/u + 77 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16281 or 16279?\nAnswer: 16279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 37*v**2 + 0 - 3*v - 2 - 38*v**2. Let d(a) = 2*a + 2. Let j(f) = f**3 - f**2 + f + 5. Let n be j(0). Give n*d(r) + 4*z(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -32+10\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-90)\/54*(-1)\/(-20)*8.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -12. Suppose -t*u = 3037 + 15363. Round u to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07391 and 6097.\nAnswer: -450.62927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5483\/5075 + -31\/29. Is b >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 52. Let j(z) = 3 + 31*z - 14*z - 3 - 15*z. Give j(w(h)).\nAnswer: 4*h - 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 10*k. Let u(m) = 87*m**2 + 2*m + 1. Let t be u(-1). Let s(f) = t*f - f**2 - 86*f. What is s(a(z))?\nAnswer: -100*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 2 + 1 + 1. Let j(q) = -25*q**2. Determine j(w(t)).\nAnswer: -25*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 106 = 4*z, 0*g = 2*z + 4*g - 64. Calculate the remainder when 28 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (103 - 25) + (6 - 9) + 7 + -19.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 167 + -169. Let z be (1 - o) + (-2 - -4). Solve 0 = z*w - 3 + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -96, -121, -166, -237, -340, -481, -666?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 2 m when four letters picked without replacement from vvmszsmnsvb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**9\/1512 + f**6\/360 - f**3\/3 - 2*f. Let w(h) be the second derivative of r(h). Find the third derivative of w(t) wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12783*k**3 + 21*k**2 + 3*k + 4?\nAnswer: 76698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 13205\nAnswer: -6\/2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 90894514121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 238255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-20)*(-2 - (-8 - 2)). Let f(v) = 4*v**2 - 5*v**2 + 1 + m*v**2 - 6 + v**3 - 2*v. List the prime factors of f(5).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 685*s**3*v - 25*s**3*x - 38*s**2*x - 2*s*v*x wrt v?\nAnswer: 685*s**3 - 2*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 25 = -3*f. Let m be 2 - -1 - (-5)\/(5\/26). Let r = 45 - m. Solve f*v + 3*l = 20, -4*v - 2*l + r = 3*l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 9:53 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 - 5529*k**4 - k**2 + 16309.\nAnswer: -120*k**2 - 132696*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 32 - 17)*(-12 - 27*f + 12) in the form c*f + p and give c.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 115*y**2 - 1030*y - 44. Calculate w(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**3 + 2*a**5 - 3*a**3 + (a**5 - a**5 - a**5)*(5 - 3 - 3 + (-4 + 4 - 1)*(-1 - 1 + 3) + 1 - 5 + 1).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 139*x - 275. Let c(r) = 17*r - 34. Let o(q) = -49*c(q) + 6*p(q). Let d(i) = -2*i - 33. Calculate 3*d(v) + 7*o(v).\nAnswer: v + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**2 + 2*k**2 + 4*k**2)*(18*k + 106 - 106).\nAnswer: 18*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 96 = -48. What is the least common multiple of x and 38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1785*c - 1425*c = 360 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-138)\/44712*(110 - 106).\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 702.5936 decades to centuries.\nAnswer: 70.25936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u - 14. Let i be 1\/(5*(-3)\/(-105)). Let q be l(i). Suppose -2*t + q = -23. List the prime factors of t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*p = 24*p + p - 1013812. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 46*i - 10. What are the prime factors of v(2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) 3 (c) -1\/17 (d) 0.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -7. Find the common denominator of (w\/(-6))\/(33\/108) and 81\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**2\/4 + 3*r\/2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40582, 81164, 121750, 162340, 202934?\nAnswer: 243532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7751803 decades in centuries?\nAnswer: 0.07751803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -8805 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9681.395l in millilitres?\nAnswer: 9681395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1251538677?\nAnswer: 3, 4211, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 1. Let s(b) = -17. Give s(z) - 5*y(z).\nAnswer: 5*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (96\/(-16))\/((774\/(-20))\/(225\/375))\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/421894 and -73\/153416?\nAnswer: 1687576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 3168 = 8*v. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 g when two letters picked without replacement from {p: 2, t: 1, g: 2, o: 4, n: 1, x: 7}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -8*w. Let r(o) = -167106*o. Determine x(r(g)).\nAnswer: 1336848*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 4, 0.2, -0.0372?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36318089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132146 - 664?\nAnswer: -133143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53 - 468621009.84\nAnswer: -468621062.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6926095 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 3, 1\/36?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 18*r = -86. Let y(c) be the second derivative of -1\/24*c**4 + 0*c**r + 0*c**3 + 0 + 11*c. Find t such that y(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (8 + (-20 - -3) - -20 - 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 71. Let h be (-500)\/(-24) + (-2)\/(-48)*z. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 + 5*g**2 + 1. Let d be (-16)\/((-128)\/(-36)) + (-2)\/4. Let w(x) = 2*x**3 + 4*x**2 + 1. Determine d*u(j) + 6*w(j).\nAnswer: -3*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 + 31*m - 14. What is the units digit of k(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 11. Let z be s(-14). Is -1\/4 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-12) + (-1)\/3. Suppose -112 = -8*i - 72. Which is the nearest to -1? (a) m (b) -0.4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128143.\nAnswer: 127, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a0b7a + 2?\nAnswer: a0b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0144 (b) 0.2 (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6588 (base 9) in base 8?\nAnswer: -11373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51178559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3948 and 14.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 2:47 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -3) + (19 - 26) - (-1 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/28))**(21\/4))**(-26) assuming p is positive.\nAnswer: p**(39\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -657\/7. What is the closest to 0.1 in m, 5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -561 - -1088. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*l**2 + 107*l**2 - 208*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 15470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 10*l**4 - 3081*l. Let n(y) = -22*y. Give f(n(j)).\nAnswer: 58080*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = 5*s. Let n be 1 - (2 - -14 - -4). Let w = n + 33. Solve 0 = -5*o - 4*u - s, 4*o = 3*u + 2*u + w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0 - -1) + 1 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 11) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let x be (b + 0)\/((-2)\/6). Suppose 54 = x*n - 48. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2070456*b**5 + b**3 - 2*b**2 - 4982*b - 783 wrt b.\nAnswer: -41409120*b**3 + 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -996*n**3 - 4*n**2 - 198?\nAnswer: -5976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 20?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 71, 79, 91, 107, 127, 151?\n\"Answer: 2*g**2 + 2*g + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 66, 167, 306, 495, 746, 1071, 1482?\nAnswer: 1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*j + 132 - 30 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3238*d - 3237*d + 4, -3*y - 52 = 5*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 2. Let m = x + -8. Suppose m = -0*q + 2*q. What is the highest common factor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2036*l**2 - 1847*l**2 - 643*l**3 + 636*l**3 - 2*l to the form i + b*l + y*l**2 + j*l**3 and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-5\/4))*g**(-3\/8)*g)**(-31)*(g**2\/(g\/g**(-1\/11)))\/(g**(-2\/19)\/g**(-1)) assuming g is positive.\nAnswer: g**(32419\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/1341 and 44\/81.\nAnswer: 12069","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*t = 0, -2*t = c - 0*t + 1. Let a be -4*(1 - (-3)\/(-12)). Put c, a, -2 in descending order.\nAnswer: c, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460635102 divided by -6.\nAnswer: -76772517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 5337 - 19384 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1095 + 1070 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**3 - 2 + 16*c**3 - c**2 + 7*c - 8*c**3 + 2*c + 11*c**2. Determine h(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.55445 minutes to microseconds.\nAnswer: 5193267000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/3, 39\/1715, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 14*a + 27. Calculate the common denominator of b(10) and -65\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*z + 1539 = -73*z - 32*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -0.3 (c) -4 (d) -0.008\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229*w - 271*w + 1000 = 0. Let d be (-2)\/3*9\/(-6). Which is the closest to -2\/5? (a) -2 (b) w (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 18*g = 90. Suppose -5*m = -19 - 26. What is the highest common divisor of m and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1362001 is divided by 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 14*z**2 + 123*z + 14. Let f be v(-6). Suppose -n = -3*g - 15 - 7, -3*n = -12. List the prime factors of (-27 + f)*(g - -2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63633 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 148. What is x(46)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 62*n - 3. Let h be q(4). Suppose b - h = -4*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/9 + (-10)\/45. Let v be u\/(-3) + (-154)\/21. What are the prime factors of ((-2)\/v)\/((-8)\/(-992))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8) + (-14 - (-7826)\/560)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*m - 35 = 0, -7*l = -3*l + 5*m - 37. Solve g - 4*o = 11, l = -5*g - o - 0*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -6\/41, -2, -4\/3, -16.1 in ascending order.\nAnswer: -16.1, -2, -4\/3, -6\/41, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*y**3 + 117*y**3 + 17 - 103*y**2 + 9 - 26 wrt y?\nAnswer: 876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 206069719 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.87 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 112817*z - 5753662. Determine f(51).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 8. Let z = -5 - -19. Let o = 20 - z. Determine v(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Let o be (1 - k)*5\/10. Let u = o + 5. Solve z = -u*z + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 132128 to the nearest one thousand.\nAnswer: 132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6372 = 6348. What is the remainder when 52 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -15. Let f be 4 + (1 - 3) + m. Solve 0 = -p - f - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 3*o = 27, 14*o = -c + 19*o + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {w: 7, r: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 + 340. What is the highest common factor of 8 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 28. Let t(z) = -q + 4*z**2 - 4*z + 8 + z**3 - 3*z**2 + 5*z**2. What is the remainder when t(-3) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-206)\/(-24))\/(-22 - -24) and 79\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230106?\nAnswer: 2, 3, 38351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.2374325.\nAnswer: -0.0474865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/2 - 13*h**4 + 67*h**3\/2 + 229*h**2 + 58*h - 308 = 0.\nAnswer: -2, 1, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a factor of 122980193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96, 140, 174, 192, 188, 156, 90?\n\"Answer: -x**3 + x**2 + 48*x + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2298202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(132) + -3*sqrt(132)))\/(sqrt(147)*2 + sqrt(147)).\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 7*q - 13. Calculate j(-7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8175 + -4?\nAnswer: -8179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-544)\/357 - (-2440)\/854\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**4 - 5333484*h**3 + 4*h**2 + 5333484*h = 0 for h.\nAnswer: -1333371, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = 4. Suppose -3*k = 3*h + 2*h - 640, 0 = -u*k - 5*h + 860. Let w = -86 + k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 + (8 - 6 - -4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.49 - 3046359.778301.\nAnswer: -3046360.268301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let j(v) = 37949762*v. What is u(j(a))?\nAnswer: 4320553307569932*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4396 and 223406.\nAnswer: 491046388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 23*k**2 + 16*k + 68. Does 18 divide z(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -217 + -3?\nAnswer: -21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*((-21 - 61 - 2)*(-14*k - 5*k - 21*k) + k + 5 - 5) to the form g + w*k and give w.\nAnswer: -6722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-2\/23)\/(s*s**0*s**(-3)) assuming s is positive.\nAnswer: s**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2877144383?\nAnswer: 37, 2063, 37693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/49*(-105)\/150)\/(8\/(-18))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -183\/7, -2\/251 in increasing order.\nAnswer: -183\/7, -0.4, -2\/251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.9 - 76. Which is the nearest to o? (a) 2 (b) 2\/7 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g - 4. Let b be n(-4). Let o(w) = w + 1. Let m be o(b). Suppose -4*s + 1 - 19 = 2*a, -19 = -a + m*s. What is a rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/(-36) - (-48)\/(-60). Which is the third biggest value? (a) p (b) -4\/3 (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 9889111.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 50 + 436. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1465 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -956 (base 11) to base 9.\nAnswer: -1517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 15*v - 2192 = -10*v, 0 = -5*x - 3*v + 5449. Is 1091 greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65956?\nAnswer: 2, 11, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 174e (base 15) in base 5?\nAnswer: 130044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 3*z - z + 2*z + z - z + (2*z + 2*z - 5*z)*(7 - 3 - 2) - 6*z + 2*z + 3*z - 30*z + 13*z - 12*z - 47 + 11*z - 3*z - 27 in the form r + y*z and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356 = 50*t + 1056 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 3, -24 in descending order.\nAnswer: 10, 3, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**5*v*v)**46 assuming v is positive.\nAnswer: v**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 6, 3898, -18, 2.\nAnswer: -18, 2, 6, 13, 3898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + d + 3 = -13, 4*d = -j - 13. Suppose -2*z - 2*z + 2*t + 26 = 0, 4*t = 2*z - 28. Sort j, -1, z, -9 in descending order.\nAnswer: z, j, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.63141 centuries in years?\nAnswer: 2263.141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 514432 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 616309907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**2 - 6*t - 4. Let p be o(4). Solve -g - p*g + 1 = 2*x, g = 2*x - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/225408050 and -97\/3920140.\nAnswer: 450816100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -106465*g**2. Let q(a) = -86*a. Give r(q(t)).\nAnswer: -787415140*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (120\/15)\/(-4 + 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5\/(v*v**(-1\/14))*(v**(-5)*v*v)\/(v\/v**(2\/13)) assuming v is positive.\nAnswer: v**(41\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 457)*(-75)\/(-50). What is the greatest common factor of 2175 and y?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -272023, -1 in decreasing order.\nAnswer: -1, -10, -272023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61955540, -61955582, -61955652, -61955750, -61955876, -61956030?\nAnswer: -61956212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148 divided by 6826.\nAnswer: 74\/3413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -74*d + 3711. Calculate j(50).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 0 + (125 + -142 - -8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-76)\/(-1368))\/((-2 + 3)\/(22\/(-5) + 5)).\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.22 - -53.78. Let l = -56.002 + w. Round l to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2144165.\nAnswer: 5, 428833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Suppose -34 = c*x - 9. Let f be 14\/(-40) + 2\/x. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 175*i**4\/24 + 76*i**3\/3 - 54*i**2 - 2*i. What is the first derivative of b(x) wrt x?\nAnswer: 175","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 5*n + 3*n)*(14422 + 8175 - 27050).\nAnswer: 26718*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -2447?\nAnswer: 2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49479150, 98958300, 148437450, 197916600, 247395750, 296874900?\n\"Answer: 49479150*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k**2 + k + 9. Calculate c(-7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(68) + sqrt(68))*-5)\/(sqrt(72)\/sqrt(2)) + 5)**2 + -4)*-6.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 139308383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 349*m**2*p**3 - m**2*p**2*s + 16*m*p**4*s**2 + m*p**3 - 2*m*p**2 + 2*m*s + 177*p*s**2 + 12*s**2 wrt p.\nAnswer: 2094*m**2 + 384*m*p*s**2 + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759087 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34896.\nAnswer: 2, 3, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 3, t: 1, z: 5, b: 1, o: 2, q: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(-1*sqrt(147))**2 + (1 + (sqrt(147) + sqrt(147) + -2*sqrt(147))**2 - sqrt(147)) + sqrt(147) + ((sqrt(147) - (-2 + sqrt(147))) + 0)**2 + 4.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -28*g + 21. Let d(i) = 10*i - 7. Let k(a) = 17*d(a) + 6*h(a). Let w(q) = q + 4. Let v = 0 - 3. Let x(u) = v*k(u) + 5*w(u). Differentiate x(b) wrt b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 107*q - 3724. Let p be l(35). Let m = -41 - -21. Let u = m + p. Is u <= 2\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5855603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -63, -580, -1999, -4776, -9367?\n\"Answer: -76*i**3 + 5*i**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-5)\/w))**(13\/3)*(w\/w**(2\/13))**(6\/11) assuming w is positive.\nAnswer: w**(1370\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -1\/6 (b) 2 (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 109227832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q - 4*q - 38746 + 38744)*(0 - 5 + 3).\nAnswer: 22*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.3, 1.2, 5, 0?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.93 - -0.47. Let f = n + -3.9. Which is the closest to 1? (a) -2\/3 (b) 2\/43 (c) f (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 4197, 3, 5 in ascending order.\nAnswer: -5, 3, 4, 5, 4197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7361, -7640, -7921, -8204, -8489, -8776, -9065?\nAnswer: -9356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -231328*p + 231328*p + 3*i, -5*p - 3*i - 59 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21227 + 8698 = -43200*g + 42535*g for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131659531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 791.9772 centuries in decades?\nAnswer: 7919.772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11296710 minus 0.4?\nAnswer: 11296709.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 11*z**2 + 2*z - 3. Let l be m(3). Calculate the greatest common divisor of 102 and l.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155016768 bigger than 155016762?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129.3 + 129.4. What is the fourth smallest value in -1\/2, -1, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = g + 9. Suppose -i = -g*i. Let u(p) = p**3 + p**2 - p + 14. Does 13 divide u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -536060.8 rounded to the nearest one thousand?\nAnswer: -536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let q = 1107927\/6526 + -2207\/13. Which is greater: x or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77245801 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265 and 366472263.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*y + 2*y - 845*y**3 + 842*y**3 + 9*y**2 to the form t*y**2 + i + n*y + f*y**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 101000011?\nAnswer: -101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (-55)\/((-2090)\/1406)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54546 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4909, 9682, 14309, 18790?\n\"Answer: -73*h**2 + 4992*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 786\/7 - 112. Let y be (0\/3)\/(0 + -1). Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 17 = v, -3*v - 8*p + 4*p = 6. Suppose -v*u = 6 - 22. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73795 by 260.\nAnswer: -14759\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/j**3*j)*j**1*j**(2\/11)*j**(-4))**46 assuming j is positive.\nAnswer: j**(-414\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/75 - 22*q**4\/15 + 6*q**3 + 690*q**2. Factor m(a).\nAnswer: -4*(a - 1)*(a + 45)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus 2156.9358?\nAnswer: 2112.9358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*l - 220828 = 128*l + 345062. List the prime factors of l.\nAnswer: 3, 5, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -479, -1379, -2703, -4451, -6623, -9219, -12239?\nAnswer: -15683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5168\/21 + 246. Which is the nearest to 1? (a) s (b) 3\/5 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 3:32 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*x + 7 = t, 3*x = -4*t - 11. Let y = -10 - -14. Factor -6*r**5 - x*r**y + 7*r**5 + 8*r**3 + 3*r**4 + 4*r**2 + 5*r**4.\nAnswer: r**2*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13122576*f**3 + 126377*f**3 + 1244027*f**3.\nAnswer: 14492980*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 277483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7318 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 1366 - u - 1396)*(3 - u - 3) + u**2 - 6*u + 6*u.\nAnswer: -2*u**2 + 30*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -597583\/202008 - 1\/8417. Find the common denominator of p and -47\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 6 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -29*m + 29. Determine b(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 2*y - 4*y + (1 + 1 - 3)*(4 + y - 4))*(-16 + 7 - 7)*(3*y - y - 3*y) to the form j + k*y**2 + x*y and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 27. Suppose -12*g = -o*g - 20. What is the second derivative of -g*s - 4*s - 4*s**2 + 2*s**2 wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1781 - 8906\/5. Is f < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.45 - 12. Let v = 0.15 + u. Let t = v + 7.4. Which is the second biggest value? (a) 2\/3 (b) t (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*t + 107 = 5*s, 2*t = -5*s + 138. Suppose s = 4*p - 112. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u + 5*u + 15 - 12 + 15 - 21.\nAnswer: -23*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -11*r + 7. Give h(5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -0.2017.\nAnswer: 4.2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 43. Let n be 22 - 4\/x*1. Find the third derivative of 7*o**4 - 6*o**2 - n*o**2 + 23*o**4 wrt o.\nAnswer: 720*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*z - 4056 = 0, 5*z = 4*g + 3*z + 5384. Let i = 448 + g. Round i to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0 + 3)\/(-9). Suppose -10 = -8*y - 2. Which is the smallest value? (a) y (b) j (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 9*w**2 - 11*w - 104. Calculate p(-8).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 17*i**2 - 15*i + 38. Let c be g(16). Let w = 28 + -22. Factor c*a**3 + w*a**2 - 22*a**3 - 29*a**3.\nAnswer: 3*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2. Suppose -2*s = -5*l - 4, -3*s = l - 3 - 3. Let a(d) = d**2 - 2*d**2 + 12*d**2 - s*d**2 - 4*d**2. Determine v(a(w)).\nAnswer: 125*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33820, -135377, -304638, -541603, -846272?\n\"Answer: -33852*n**2 - n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {d: 1, i: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -9*r - 77. Let l = 0.4 + 0.1. Sort l, r, -1\/3 in ascending order.\nAnswer: -1\/3, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 11*k + 21*k**3)*(25*k - 8*k + 19*k)*(-k - 8*k - k).\nAnswer: -7560*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -m + 9, 0*o = 4*o - 5*m - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 13) to base 5.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -953, -2418, -4761, -8144, -12729, -18678?\nAnswer: -26153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 5*k + 5. Let t(v) = -v**2 + 9*v - 9. Calculate 7*r(b) + 4*t(b).\nAnswer: 3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 4*q)*(0 + q**3 + 0) + q**4 - 3*q**4 - q**4 to the form x*q**3 + u*q**4 + j*q + y + g*q**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 + k + 9. Determine u(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40335 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -2147*o**5\/5 - 2428*o**3\/3 + 2*o - 5200. Find the second derivative of d(r) wrt r.\nAnswer: -51528*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/5 + 121*v - 600.\nAnswer: -(v - 600)*(v - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine halves of a decade?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 2*n - 6. Suppose m + 9 = 6*m - 2*w, -n*w + 18 = 3*m. Solve -m = 2*l + l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 2*z + 1. Let v = 4 - 7. Let o be q(v). Suppose 3 = o*b - 5. Solve -2*a = b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 1:03 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35926343\/77779590 - 2\/370379. What is the common denominator of a and -151\/54?\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005844 to five decimal places.\nAnswer: 0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 3. Let n be r(3). Let i = n + 21. Suppose -206 = -2*o - 4*x, -7*o + 3*o + 2*x = -412. What is the remainder when o is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/((-22)\/(-55)))\/(2\/4). Sort -4, 352, n, 1 in ascending order.\nAnswer: -4, 1, n, 352","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(33)\/sqrt(3))**2 + 1 + -1 + sqrt(11))*-5.\nAnswer: -45 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-28)\/(-8))\/(637\/1638).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, b: 6}. Give prob of sequence sss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12795967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from cocoooooo.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0589 to 3 dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/101, -13, -0.3, -2\/11, -1\/14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 + d**2 - 1. Let g be h(1). Let c be (-2)\/g - 42\/(-9). Solve -2*l = -10*u + 5*u - 1, c*u + 10 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 809 - b - 2629 + 13*b + 1820.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f - 3 - 31*f + f**2 + 112 - 34*f. Let p be k(36). What is the highest common divisor of p and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoxo when four letters picked without replacement from oxxoxxxoxxxoxxxxxxxx.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 540, -98, -3112, -9690, -21020?\n\"Answer: -198*y**3 + 748*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 169 and 130 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*(b*b\/(b**(-20)*b)*b)\/b*b*b**(-15\/7) assuming b is positive.\nAnswer: b**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 525 and 225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23240, -46488, -69734, -92966, -116172, -139340, -162458?\n\"Answer: 2*c**3 - 11*c**2 - 23229*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 25*d**2 + 6*d + 71. Let u(w) = -14*w**2 - 3*w - 36. Calculate 4*t(q) + 7*u(q).\nAnswer: 2*q**2 + 3*q + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72157456 is divided by 41952?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39457 divided by -5?\nAnswer: 39457\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u = -11*u - 41*u - 1152 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/((-38)\/380).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -18758*d + 4 + 18655*d - 2 as j + q*d and give q.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50a66 (base 14) to base 2\nAnswer: 101111011001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/(v**26\/v*v))*v\/((v*v**(-5)\/v)\/v))\/(v**(-18\/7)\/v**26) assuming v is positive.\nAnswer: v**(438\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g = 11*g - 3, -4*g - 8 = -l. Calculate the lowest common multiple of 184 and l.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)*l**(-2\/15))**(-9\/5) assuming l is positive.\nAnswer: l**(21\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from {x: 2, u: 2, d: 7, q: 1, r: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n + 864. Determine k(-56).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5526 - 88515\/16. Find the common denominator of y and 79\/456.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12)\/o**(3\/4)*o**(1\/23)*(o\/(o**(-2\/9)\/o))\/o*o assuming o is positive.\nAnswer: o**(-8681\/828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 28989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**2 + 512*x.\nAnswer: 4*x*(x + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -228028000 rounded to the nearest one million?\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/325 - 38\/95.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 7*r**2 + 97*r + 23. Let y be n(14). Let i(m) = m**3 - 8*m**2 - 2*m + 4. Give i(y).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.323 times -0.103\nAnswer: 0.033269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1134452 and 6726?\nAnswer: 3403356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2490 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - 9 - (-5 + 0). Let q be 374\/(-33)*(-3)\/s. What is the second derivative of -9*m**3 + q*m**3 - 8*m**3 + 7*m - m**4 wrt m?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.264 - -8.275569. Round n to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-3 + 4 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68307?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onoodnonondo. Give prob of sequence dn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/52 and (-2652)\/138924*(-42)\/(-4).\nAnswer: 11804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 3*h + 40 = 0, 30 = -3*o - 5*h. Let q be ((-2 + 0)\/o)\/(-2). Which is the second biggest value? (a) 1 (b) 7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16667 divided by 2381?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0 + 3\/70*c**5 + 6\/7*c**3 - 10*c - 9\/28*c**4 - 6\/7*c**2. Factor o(p).\nAnswer: 3*(p - 2)**2*(2*p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 16*d**5 + 68*d**4 - 260*d**2 - 256*d - 48 = 0.\nAnswer: -3, -2, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 0, 27, 88, 195?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 33*m - 2. Calculate b(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (89 + 96 + 255 + 31)*(0*c - 3*c + 2*c) - 2*c - c + 5*c to m + o*c and give o.\nAnswer: -469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 7*g - 4. Let x be l(7). Let p = x + 2. Let z be (0 + 1)*(2 + p). Solve w - 3 = -z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1575 divided by 15\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, b: 1, a: 7, o: 1}. Give prob of sequence ooa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61276125 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, y: 5}. What is prob of picking 2 y?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 662\/71395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -88. Suppose h = -4*z + 5, 0 = -q*h - z - 0*z - 40. Let d(f) = -f**2 - 4*f + 6. Let y(a) = 3*a**2 + 11*a - 17. Determine h*d(c) - 4*y(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 18 + -24 + -3 + (-9 - -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - g - 2*g)*(3*g + g - 6*g)*(-3 - 2*g**2 + 3).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 19*l + 14. Let y be u(-9). Suppose -3 = b - y*t, 0 = -0*b + b - 2*t. Find the common denominator of (b - 1)\/(42\/327) and -57\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2701605010 to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.105 - -0.975. Let z = h - -0.13. Let v be (2 + -4)*1\/(-1). Which is the biggest value? (a) v (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/2 + 24611*w\/2 - 393264.\nAnswer: -(w - 24579)*(w - 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 3 - m**2 - m**2 - 3*m - 2*m. Let j be b(-3). Is (j + -22)*(-2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6211248?\nAnswer: 2, 3, 129401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12169?\nAnswer: 43, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 1353*h**5\/20 - h**4\/6 + 5*h**2\/2 - 45*h + 2. Is c(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 3, -3, -5 in ascending order.\nAnswer: -5, -3, 3, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:29 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 458, 918, 1378, 1838, 2298, 2758?\n\"Answer: 460*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and 140.5?\nAnswer: 142.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 2*z, c - 3*c - 11 = 3*z. Let y = c - -3. Calculate the greatest common factor of 20 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 2*t**2 - 11*t - 7. Let r(g) = g + 1. Let z(v) = -h(v) - 6*r(v). Let d be z(-4). Suppose 6*c - d*c + 175 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - g = 25, 51*g - 47*g + 4 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108005060 + -108005121.0000054. Let c = 61 + z. Round c to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1016 divided by 254?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = j + 22, -1 = -a - j - j. Let k = -18 - -20. What is the remainder when (6 - k)\/(-4) + 18 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**5\/4 + 3*w**3\/2 - w. What is the second derivative of f(b) wrt b?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1984510260 divided by -5580\nAnswer: -355647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 7*b**2 - 9*b + 11. Let t be o(8). Suppose -12 = 4*q - 6*q. Solve -t*r = -2*u + q, -12 = -0*r + 4*r - 4*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:37 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 169583 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 15870 = 7*y + 48*y. Solve 349 - y = -2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/v**(2\/3)))\/v)**(-47)\/(v*v\/(v\/v**(-2\/13))*v\/(v\/v**(-2\/7))) assuming v is positive.\nAnswer: v**(-8707\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 + 249. Let h = 221 + z. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = 3*j, -2*j = 2*k + 2*k + 18. Let f(c) = 6*c**3 + 1. Let o be f(j). Let p = o + 12. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 w when three letters picked without replacement from fqwfwqqwmfww?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2)\/(-2 + 22\/8). Suppose 4*w = 2*p, -v*w + 20 = -3*p + 7*p. Suppose 5*c**2 - 2*c**5 - p*c**5 + 3*c**3 - 8*c**2 + 3*c**4 + 3*c**5 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ttttttggtggttt.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1704*w + 181220 = -428*w for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56398 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402538996 to the power of 1\/2, to the nearest integer?\nAnswer: 20063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/87 and 36\/203.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkbkkkkbbb. What is prob of sequence bk?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20130 + 20081. What is the third biggest value in -4, 33, a, 1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -6, 2, -28 in descending order.\nAnswer: 2, -1, -4, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 636 (base 8) to base 10\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*n, 5*y + 9*n - 436 = 5*n. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155868187.\nAnswer: 157, 257, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 8*g + 5454*g**3.\nAnswer: 5454*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + -1 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.7 - 22.6. Round x to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36834.8007 - -36833. Let s = -1.8 - d. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (-2 + 7 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1562 times 376?\nAnswer: -587312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-121)\/(-2)))\/(-1)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 10. Let a be x(-3). Let o be a + (0 - -3) - -5. Suppose -2 = -o*y + 11*y. Let j(k) = -3*k**3 - k**2. Give j(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 + -2 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4, 3*v + 143 - 35 = g. Calculate the highest common divisor of 42 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - -1 - 3 - (-48 + -22) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.5 - 380.996707.\nAnswer: -374.496707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**2 - 45*g**2 - 42*g**2 + 121*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 101220 divided by -20244?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*q)*(-q**2 + 4*q**2 - 2*q**2) - 2*q**3 + 0*q**3 - 2866*q**2 + 2993*q**2 in the form f + w*q + b*q**3 + j*q**2 and give j.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8.2, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) -20176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 425246?\nAnswer: 425245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29393995579582 - -5.\nAnswer: -29393995579577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 559588331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 - 563148*s**4 - 9574096*s**3 + 563148*s**2 + 9574094*s = 0.\nAnswer: -17, -1, 0, 1, 281591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 51097 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + o = 4125, 5*a = -o + 2*o + 4125. Suppose 5*f - a = 5*r, f = 2*r + 154 + 15. List the prime factors of f.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n - 12*n = 14*n. Suppose 38*l - 45*l + 77 = 0. Sort 5, n, -4, l.\nAnswer: -4, n, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/(7\/7))\/(22\/(-4)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**5*i)\/i)\/i)\/(i*i**(1\/3)\/i*i*i))**(1\/4)\/((i**(-1\/3)\/i*i\/(i*i**(-3)\/i))\/(i**0)**25) assuming i is positive.\nAnswer: i**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0096877 less than 0.5?\nAnswer: 0.4903123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 415050 - -1221?\nAnswer: 420311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.2588639 to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2106 divided by 2106.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 20*w - 3 = 4*r + 11, 0 = -2*r + 4*w + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(4\/(-18)*6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/5 - 1099*o\/5 + 2202\/5.\nAnswer: -(o - 2)*(o + 1101)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/6)\/(2\/6). Let g(r) = -19*r - 10. Let s be g(-1). Let d be (s + x)*(-16)\/(-5). What is the greatest common divisor of 176 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 22*a**2 + 24*a - 20. Let p be x(23). Calculate the lowest common multiple of (-8)\/p*(-6)\/(-12)*-24 and 36.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 38, 114, 252, 470, 786, 1218, 1784?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 158722 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(-4 - 6\/(-2)). Let l be r\/2*60\/25. What is the third derivative of -2*v**2 - 11*v**4 + 11*v**4 + 7*v**l wrt v?\nAnswer: 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 9:56 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = 4*h, a = -4*a - 2*h + 7. Is (-90405)\/(-42) + a*(-2)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - 4*j**2 - 5*j**2)*(-4253*j**3 - 5161*j**3 - 225*j**2 + 472*j**2 - 247*j**2).\nAnswer: 84726*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 4*r + 6. Let s be z(-3). Let y(w) = -5 - 115*w + 116*w - 5 + s. Determine y(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4654\/5 - -926. Which is bigger: -4 or u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 - 11*d + 5. Let r(s) = -11*s**2 + 6*s + 1. Let v(p) = 2*p**2 - 1. Let l(y) = r(y) + 4*v(y). Give -11*l(n) - 6*w(n).\nAnswer: 3*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/23161?\nAnswer: -3\/23161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035224953 rounded to three dps?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 105*d**2 - 71*d**2.\nAnswer: -176*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102196 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16742 times 0.63\nAnswer: 10547.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + (sqrt(833) - (-3 + sqrt(833) + 0)) - (-2 + (sqrt(170) + sqrt(170) + ((sqrt(170) + sqrt(170)*-3)*3 - sqrt(170)))\/sqrt(10))).\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 535.661621 to the nearest integer.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -197, -442, -785, -1226, -1765, -2402?\n\"Answer: -49*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/8 - 5\/20. Let b = 8 + x. Suppose -13 = b*p - 3. Let g(f) = f**3 + 5*f**2 - f - 7. What is g(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 2*o**2 + 4*o - 3. Let r be s(2). Suppose -5*l + 8 = -2*u + 3, 0 = -2*u - l + r. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2679 - -2560. Which is greater: -125 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 5382?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -13 + 5*i**2 + 2\/3*i**3 + 12*i. Determine b so that z(b) = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1214570 to the nearest ten thousand.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-165))\/((-8)\/(-65)) - (-127)\/508.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -13*d**2 + 4464*d + 2752. Give u(344).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -76*v - 229. Let c be n(-3). Sort c, 1, -51 in ascending order.\nAnswer: -51, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/2*(-8)\/10. Suppose 0 = 4*d - d - b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 - 30. Solve -v + 2 = -j*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96*w**3 + 19*w**4 - 96*w**3 - 51)*(2 + 0 - 3) to c*w + v + z*w**4 + n*w**3 + j*w**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 10*d**2 + 76*d + 19. Determine m(8).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9924958, -19849915, -29774878, -39699847?\nAnswer: -49624822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 - 2*u + 9. Let v be g(7). Let z be ((-3)\/(-2))\/(v - -2). Let t = -4.94 + -0.06. Which is the smallest value? (a) z (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01808901 rounded to 5 decimal places?\nAnswer: 0.01809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000087691544 rounded to 7 decimal places?\nAnswer: 0.0000877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3676693979\/1237458 + 3\/206243. Let j = -2959 - a. Find the common denominator of j and ((-1)\/(-12))\/(25\/7250).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -2406.\nAnswer: -2406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35131 and 548981?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27884503847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-243)\/(-324))\/(99\/(-16)))\/(-2).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -223?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 1. Let m = -6 + 8. Let z(a) = 1 + 2 - a + m*a. Let y be z(0). Give d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**3 - 371*u**2 + 6*u - 311. Let d be p(53). Sort -1, -8, d.\nAnswer: -8, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 290 and 660.\nAnswer: 19140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 6\/(-12))\/(9\/392322) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -18\/1427, -0.7, 1\/4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fssffshsereefessheee. Give prob of sequence frhf.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - -5. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 176472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 125?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-32)\/(d*d**1*d))**(-1\/4))**(-4\/7))**(-26) assuming d is positive.\nAnswer: d**130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 4*u + 20 + (0*u + u - 2*u)*(2 - 3 + 3).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*g**4*r**2 + 26*g**4 + 5*g**3*r**2 + 5*g**2*r + 20179*r**2 wrt g?\nAnswer: -696*g*r**2 + 624*g + 30*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/6 - (-313)\/2 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 3:14 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 3*h**2\/2 - 37. Suppose 2*f + 2*f = 0. Let x(u) = 5*u - 3*u - u + f*u. What is x(w(b))?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n + 234. Let i(p) = -10*p + 1163. Determine 11*c(m) - 2*i(m).\nAnswer: -2*m + 248","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:51 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006317497 to six decimal places.\nAnswer: 0.006317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 7 - (3 + -44). Find the second derivative of -w*p**2 + 37*p**2 - 163*p + 345 + 14*p**3 - 345 wrt p.\nAnswer: 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 3*w = 87, -563*w + 564*w = -4*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(-1)\/k*k**(1\/2)*k*k**(-3))\/(k*k\/k**(-2\/9)*k*k**6\/k)**(3\/11) assuming k is positive.\nAnswer: k**(-181\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -43. Let g be 259\/(-74)*(i + (-12)\/7). Let a(n) = n**2 + 3. Let v(w) = 1. What is g*v(d) - 2*a(d)?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 5:30 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 74?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:38 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(3600) - sqrt(3600)))\/(sqrt(60)\/(sqrt(245)*2)).\nAnswer: -2520*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27662 is divided by 304?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p + 4. Suppose 0 = -2*s, -s + 18 = -3*c - 5*s. Let k(v) = -v + 1. Let m(g) = 3*g + 1. Let x(n) = k(n) + m(n). Determine c*w(l) + 11*x(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2579 divided by -50818?\nAnswer: 2579\/50818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**3\/3 + 26*h**2 - 77*h\/3 = 0?\nAnswer: 0, 1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-2 + -1) - -5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 373 - (2 + (-7 - -1)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4 + 6067478*n**3 - 6067484*n**2 - 12134960*n = 0. What is n?\nAnswer: -3033740, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j. Let x(q) = 246*q**2 + 21*q + 84. Let u(c) = -25*c**2 - 2*c - 8. Let g(i) = -42*u(i) - 4*x(i). Calculate n(g(v)).\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y*y\/(y**(-1\/2)\/y))\/y)\/y**(4\/5))\/(y**(3\/2)\/y*y*y**(-4)))**(-7\/6) assuming y is positive.\nAnswer: y**(-91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and 74.\nAnswer: 1998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -1120\/1209799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 - 105 + 100)*(-5*l + 2*l + 5*l).\nAnswer: -138*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/31, -3, 2.2 in decreasing order.\nAnswer: 2.2, 5\/31, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:51 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a + 149. Let h be s(-28). Let p = 872 - h. List the prime factors of p.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3018 and -0.5?\nAnswer: 1509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sstkttsssttknsttww. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2878403 by 4.\nAnswer: -2878403\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 45\/8 of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 467 = -3*h - 466, 0 = -2*r + 4*h - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s - 154 = -2*h, -4*s + 118 = -h. Let g be ((-60)\/7)\/((-1)\/28). What is the greatest common divisor of s and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 + 97. Let u = -21 + v. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -2)\/(11\/231).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 49. Suppose 3*b + 2*z - c = -0, -28 = -4*b - 4*z. What is the least common multiple of b and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 685837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/6 (c) 0.1 (d) 2\/21 (e) -1\/677\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (510\/8)\/(9\/24). Suppose 5*o + 145 = -s. Let x = o - -108. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*n - n**3 + 101*n - 306*n + 93*n.\nAnswer: -n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i - 4 = 0. Let t(l) = -2*l - 2. Let c(v) = -2*v + 140. Let g(b) = -c(b) + 4*t(b). Let r be g(-25). Solve 0*z - r*z + i = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -79 (b) 0 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zzp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 23*k - 56. Let n be s(-24). Suppose -19*t + 15*t + n = 0. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 10*l + 95. Calculate a(-14).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3621.9+0.27\nAnswer: -3621.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-48) - (-5)\/15. What is the third biggest value in 2\/5, -3\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274479, -274482, -274487, -274494, -274503, -274514?\nAnswer: -274527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22973275 - -15375275. Round h to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p*t**5 + 33*p*t**3 + p*t**2 + 20*p*t + p + t - 3 wrt t.\nAnswer: 80*p*t**3 + 198*p*t + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u = 32*u + z, -4*u = 3*z - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2*9 + 8\/16 and 27\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/5))\/q)**(-37)\/(q*q**5*q*q*q*q**2) assuming q is positive.\nAnswer: q**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 9. Suppose 88*i - 92*i = 0. Let w be u(i). Let p = 50 + w. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6 = -196*w + 194*w, 5*m = -5*w + 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-90)*-5*3\/(-1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 1. Let a be z(-8). Suppose -5*p + a + 0 = 0. Let k be p + (-7 - -3) + 1. Which is smaller: k or 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/33)*z*(z*z*z**12\/z*z)\/z)**(-4) assuming z is positive.\nAnswer: z**(-1840\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*u + 7 - 7 to the form p*u + i and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s + 134*s + 493*s = 6070 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 307*r - 72*r + 1134*r + 0 + 4*r**2 as v*r + x*r**2 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25439, 17575, 9711, 1847, -6017, -13881?\nAnswer: -21745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848 divided by -12934?\nAnswer: -1424\/6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -1. Suppose 6*s - 2*s + w*o + 13 = 0, 25 = -5*o. Let i = 14.2 + -11.2. Are s and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05596*0.4.\nAnswer: -0.022384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 4 + 4)*(27*t + 4*t - 2*t) + 2801*t**2 - 2*t**4 + 21*t**3 - 2801*t**2.\nAnswer: 27*t**4 + 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + 5*a)*(1 - 6 + 4) - 49*a - 83 + 83.\nAnswer: -51*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4854728 is divided by 809115?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 10*r - 39. Let p be t(13). Let u(c) = -2*c + 138. Let b be u(p). Calculate the lowest common multiple of 15 and (b\/(-23))\/(4\/(-10)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32198?\nAnswer: 2, 17, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - 10981567a?\nAnswer: -109815687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48181499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1, -1\/5, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 0, -3, -381\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*w + 8, 30*w + 28*w + 16 = 66*w for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/52 and -7\/286?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*f - 2 = 0, -5*q + 25271 = -f + 25248 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**5\/60 - v**4\/24 - 3*v**3 - 2*v**2 - 2*v. What is the remainder when t(13) is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - 10) + 15 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68557 divided by 68557?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-26)*l*l\/(l**(-2\/5)\/l)*l*(l*l**(-2\/169)*l)\/(l\/l**(4\/3)) assuming l is positive.\nAnswer: l**(-48871\/2535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 28*a**3 + 3*a**2 - 3*a + 2. What is the remainder when 58 is divided by l(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 20. Let x = -13 - -8. Let i = -22\/3 + 6. Sort x, i, b in decreasing order.\nAnswer: b, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 4*r + 5. Let b be a(7). Let n = 104 + b. Suppose 0 = -0*z - 4*z + n. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let k = 0.7 + -0.5. Let w be 3 - ((-95)\/(-30) - 0). Which is the closest to f? (a) -2\/5 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(16) + sqrt(4)))\/((sqrt(6) - sqrt(96))*-5)*-2)\/(((sqrt(180) - sqrt(180)*-2)*-4 - (sqrt(180) + (sqrt(180) + -2*sqrt(180))*2))*5).\nAnswer: sqrt(2)\/7425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/45 - 2\/(-1)) + 225544\/101640\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x + 2*x + 20 - 11.\nAnswer: -2*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4383042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659619265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -47496479.5 rounded to the nearest ten thousand?\nAnswer: -47500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 752*z - 1531*z + 774*z. Let m(j) = 3*j**2 - 2. Determine f(m(q)).\nAnswer: -15*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(((-1)\/(-2))\/1 + 8300\/(-3320)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1570902937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -10.1. Let t = r + -5. Does t = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 3:31 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q + 192*q = -26*q + 5874. Let v be (-8)\/(-6)*(-6)\/(-4). What is the closest to q in -4\/7, -1\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1105 - 3*m + 1703 - 2808.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 17 - 11. What is the smallest common multiple of (-20)\/5 - (-30)\/(c\/1) and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -22c5 + -5d46?\nAnswer: -822b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/315)\/(((-12)\/20)\/(-3))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 334241.2 millilitres in litres?\nAnswer: 334.2412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmemxmnene. Give prob of sequence hnn.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 4*s**4 - s**4)*(-1 + 5 + 5 + (3 + 0 - 1)*(3 + 2 - 4))*(8 + 0 - 7)*(4 - 3 + 2).\nAnswer: 66*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -112?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300 + -2?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = 4*p, 2*w - p - 6 - 2 = 0. What is the second derivative of -2*h**3 - w*h + 0*h**3 + 5*h**3 + 2*h wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-9\/2)*y)**(1\/18))**(4\/15) assuming y is positive.\nAnswer: y**(-7\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97817 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 16*c**3 + c**2 + c - 6. What is the least common multiple of 6 and t(2)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-13)*(-28899)\/(-494)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.1. Let y = 389 + -389. Let m = y - v. Is -10 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2254 - 2255. What is the closest to -2\/3 in o, -0.4, 8, -0.14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4006560?\nAnswer: 2, 3, 5, 17, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -193, -763, -1711, -3037, -4741?\n\"Answer: -189*l**2 - 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n + 2*n - 58790. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3607*j**4 - 519*j**2 + 1136781*j?\nAnswer: 43284*j**2 - 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*f = 998 + 1224 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -570*k**3 - 16460*k**2 + 61944973.\nAnswer: -1710*k**2 - 32920*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3681 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: Let u(z) = -9*z - 12. Let l be u(-3). Suppose 6*m - l = 3*m. Suppose m = -5*r, 3*c + c - 3*r - 11 = 0. Solve 7*g = -5*q + c*g + 5, 3*q - 5*g = -13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1435*q**3 - 44*q**4 + 70*q**4 + 1085*q**3 + 43904*q + 26656*q**2 + q**5 + 60*q**4 = 0. Calculate q.\nAnswer: -28, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*c**3 - 2*c**5 + 3*c**4 + 8*c**5 - 17*c**4 - 2*c**2.\nAnswer: 2*c**2*(c - 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + y = -47927, 4*q + 3*y - 72365 + 8445 = 0. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6193, 12384, 18575?\nAnswer: 24766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 7, -0.5, -6\/11, 29 in descending order.\nAnswer: 29, 7, 1\/4, -0.5, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from hhhhhhhhyhyyhhhyyhhh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, -1, 1279, 0 in decreasing order.\nAnswer: 1279, 23, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96.9 - 100. Round c to 1 decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-5))\/((3692\/(-142))\/130)*3\/(-4)\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1865, -1652, -1439, -1226, -1013, -800?\n\"Answer: 213*i - 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n + 1. Let z = 4 - 5. Let g(c) = 3*c + 5 + c**2 + 0 - 2*c. Let k(o) = z*g(o) + d(o). What is the first derivative of k(w) wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a6 (base 11) to base 9.\nAnswer: -138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*g - 280*g - 2 - 43*g - 430*g.\nAnswer: -1186*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(110)\/(6*(sqrt(10) - -1*sqrt(10))) - 3*(1 + sqrt(396) + (sqrt(33) - (sqrt(132)\/sqrt(4) - sqrt(33)))\/sqrt(3)).\nAnswer: -251*sqrt(11)\/12 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27295 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 are the prime factors of 332176279?\nAnswer: 149, 2229371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1060 - -90101\/85. Suppose -3 - 8 = -11*u. Is u smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/(-20 + 4323\/216)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 3*y + 2. Is s(7) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m**35\/m)\/m)*m\/((m\/(m**(-33)*m))\/m*m)*m)\/((((((m\/(m\/m**7))\/m)\/m*m)\/m)\/m)\/(m**(10\/13)\/m*m)) assuming m is positive.\nAnswer: m**(-861\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 294 by -21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41549?\nAnswer: 41549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10562322 is divided by 15955.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012905 divided by 8235?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:19 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11269243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -43*v. Suppose 5*h - 1413 = 3777. Let c(n) = 2*n - 1038 + h + 0*n. Calculate i(c(p)).\nAnswer: -86*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-28)\/(-6) + (-4)\/6. What is the units digit of (6\/g - 1)*14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 + -6 + -6 + -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(78) - (sqrt(78) + sqrt(78)*2)))\/sqrt(6).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 8*r - 13. Let j(q) = 9*q**2 - 15*q - 25. Let h(n) = -5*a(n) + 3*j(n). Let l be h(-2). Solve -5*i - 33 = -l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028155766478 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/6 + 8\/12. Let z be -16 - (-1)\/(g\/(-8)). Let x = z + 9. What is x rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-484)\/924)\/(((-36)\/(-63))\/2)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + f - 32548*o = -32546*o - 18, -4*o - 24 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 45, 0.04, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 39 = 8*i. Solve -6*x = -i*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(8)*-5*-1)**2.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39.654 - 0.754. What is k rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -4*f + 7. Let k(w) = 3*w - 6. Give 4*g(a) + 5*k(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1003830 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + u + 4. Let f be g(0). Solve f*v - 10 = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22291?\nAnswer: 22291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -582372.7072 to the nearest ten.\nAnswer: -582370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -77007 (base 9) in base 6?\nAnswer: -1032141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -166*y**2 + 9*y + 4. Let b(f) = 3*f**2 + f - 1. Let j(n) = 36*b(n) - 4*k(n). What is the derivative of j(q) wrt q?\nAnswer: 1544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 6) to base 9.\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**3 + 228*s**2 - 3132*s - 3364 = 0. What is s?\nAnswer: -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/3331, 0, -1\/5, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4563\/7 - 33403\/56. Let a = 54 - t. Calculate the common denominator of 35\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j + 106. Let v be u(0). Let b = v + -720. Is (b\/4)\/(6 + (-266)\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(75\/160))\/(1\/(-3)). What is the tens digit of l*(-21)\/3 - 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16204015831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 94*i**2 - 776*i + 261. Does 68 divide w(79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - 120\/80*(44\/3)\/(-2). Let a(k) be the first derivative of 0*k + 0*k**2 - 3 - 11\/3*k**z. Let d(n) = -7*n**2. Give a(d(i)).\nAnswer: -539*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 485 in -5, -3\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(2\/27)*v*v)*v\/v**11)**(-16) assuming v is positive.\nAnswer: v**(4784\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(30\/6)*(-1)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 - 1 + 1)*(2 - 3 - 1) + 47*i**3 + 27*i**3 + 4*i**3 + 27*i**3 + 33*i**3 + 42*i**3 to p + w*i**3 + y*i**2 + m*i and give w.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 2*c**3 - 7)*(1 + c - 1) + 3*c**4 - c**2 + c**2 to j*c**3 + u + n*c + l*c**4 + x*c**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114494 - 81715. Let q = p - 94779. Round q to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, 175, 640, 1281, 2092, 3067?\nAnswer: 4200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -7 (b) -0.5 (c) 2\/39 (d) 0.098 (e) -17\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -21. Let d(y) = -3*y + 6. Give d(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0 + 1\/3*v**3 + 2*v + 0*v**2. Let i(t) = -5*t**2. Give q(i(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t. Let r be ((858\/24)\/(-13))\/(1\/(-4)). Suppose -r*u + 6*u + 385 = t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366868607?\nAnswer: 7, 23, 557, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 14*p**2 + 11*p - 2. Let h be s(-6). Let m = 10 - 6. Solve -3*o + m*o = h for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24160.96g in nanograms?\nAnswer: 24160960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1429.03486\nAnswer: 571.613944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 4. Let u = 14 + -11. Solve -u*h + o = -0*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/5 + 46194*x**2\/5 - 51794886*x - 90273894802\/5.\nAnswer: -2*(x - 11713)**2*(x + 329)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8028 and 540?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 279*v + 2351. Determine u(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6519707\/144 + 45276. Find the common denominator of 109\/240 and i.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188296177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 3. Let w(a) = -a + 2. Determine 3*v(d) - 3*w(d).\nAnswer: 6*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -15*x**2 - 3*x + 1. Let h be t(-3). Let u = h - -127. Suppose 0*j + 1\/4*j**5 - 1\/4*j**u + 0 + 1\/4*j**4 - 1\/4*j**3 = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*v + 2*j - 132 = 76*v, 9*v = 5*j - 239 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3962 + -421. Round c to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (6 + -2 - -2) - -6\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 71*c - 16941. Determine b(100).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -916, -3669, -8256, -14677, -22932, -33021?\n\"Answer: -917*h**2 - 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1*(-105)\/20475.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400607 is divided by 1119?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56216.\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28584154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 49?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((-28)\/(-2098)) - 1\/(-7). Let j be ((-8)\/(-10))\/(15\/l). What is the highest common factor of j and 96?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 138, 562, 1402, 2796?\nAnswer: 4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5 + 35*f**3 + 1951*f - 3014. Differentiate c(d) wrt d.\nAnswer: -20*d**3 + 210*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 27. Let t = 4.6 + -26.6. Let g = 21.6 + t. What is the smallest value in v, g, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 - 36. Let p = 14 + -13. Let n = 1 + p. Solve w*a + n = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 + -65. Suppose 0 = 4*n - v - 9. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 418.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21862662 divided by 36077?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 2*y - 12 = 0. Let q be y\/(0 + 3\/(-4)). Let j be -7*((-776)\/84 + 9)*6. Put q, j, -3 in ascending order.\nAnswer: -3, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*v - 4 - 22 = 0, j + 10 = -3*v. Suppose 5*n + 35 = 5*w, -4*w + 19 = -3*n + j*n. Let h(m) = 0 + 2*m**2 - 2 + m**2 + 4*m + 3. What is h(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2f6 (base 16) to base 3\nAnswer: 1001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + (25 + 15 - 49)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-4)*(-45)\/(-27). Let w = 8930 + -8927. What is the closest to 4 in 2\/3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9431 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/60 - n**4\/3 + 7*n**3\/6 + 5*n**2. What is j(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1280 + 32*n + 4042 - 52*n + 503 + 21*n in the form j*n + z and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*379.748\nAnswer: 30.37984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (57*106\/(-45315))\/(1\/(-6)*(-3)\/(-25))?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1587.29ml to litres.\nAnswer: 1.58729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7784362687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20990 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3050533 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 181*a**2. Let w(t) = 17*t. Determine w(i(o)).\nAnswer: 3077*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1061*n**2\/4 - 429*n\/2.\nAnswer: n*(1061*n - 858)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 958.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 4*q**2 + 2*q + 7. Let x be g(-5). What is the units digit of (-2)\/x*-11 + (237 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21*f + 1683 = 0. Suppose v - 307 = -f. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7813925?\nAnswer: 5, 7, 44651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + 0 + 1 - (-36)\/(-4). Let x be (s*2 + 3)\/(1 + -2). Let d be (-2)\/x - (-1 - 26\/22). Solve -d*a - 3*a - 10 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 3*x**2 + 12*x + 5. Is m(-5) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 15. Suppose -k + 5 + 1 = 0. Let z be (-64)\/(-10) - 4\/10. Let a = k - z. Determine s(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2120 + 6439. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-632)\/79)\/((-1)\/((-3)\/(-24))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycw when three letters picked without replacement from {w: 3, y: 3, k: 1, c: 7}?\nAnswer: 3\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 99, 206, 325, 438, 527, 574?\n\"Answer: -3*j**3 + 33*j**2 - j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/18). Suppose 0 = n + 2*h - 1 - 4, 85 = 5*n - 2*h. Suppose 5*g = -0 + n. Calculate the greatest common divisor of i and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-2)*(-1)\/6)\/((-27)\/81)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n - 581181 - 754662 = 413775. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 7 - (8 + -57) - (11 + 0 + -24)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b + 38639778 + 20271088 = -42*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 - -82.35. What is q rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(2\/11)*h*h*h)**(3\/37))**(-1\/92) assuming h is positive.\nAnswer: h**(-171\/37444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 3*u - 4. Let p be s(-4). Calculate the remainder when (8\/5)\/(2\/p) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 0. Suppose -16 - 68 = -b*w. Let v = 45 - w. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 3:15 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 + 545*m**4 - 9335*m**3 + 8255*m**2 + 9340*m - 8800 = 0. What is m?\nAnswer: -1, 1, 20, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 18*w**2. Let l(c) = 2*c. Let v(d) be the first derivative of -5*d**2\/2 - 15. Let y(b) = 15*l(b) + 5*v(b). Calculate y(n(t)).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/((-1)\/12). Let q(i) = -i**3 - 7*i**2 - 6*i - 8. Let a be q(b). Is (74\/a)\/((-7)\/28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**5\/15 + 11*i**4\/18 + 10*i**3\/9 + i**2 + 4*i\/9 + 1. Factor s(n).\nAnswer: 2*(n + 1)**3*(3*n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 318393*m**3 + 2*m**2 + 457*m + 150.\nAnswer: 1910358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:21 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 374119284 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267537542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 873896921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 36 + 45 + (-3 + 2 - 1)*(3 - 4 + 0) - 1 + 7 - 5)*(2*c - 5*c + c) in the form v + k*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-14))\/(1\/24*3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26542*2.4.\nAnswer: 63700.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*f - 20, f + f = -5*j - 12. What is the lowest common multiple of f and (2 - 1) + -6 + (-6 - (-10 + -11))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 29*g - 1514. Let z be c(57). Suppose -4 = 2*m - 4*v, -v + 6 = 5*m - 6. Suppose 0 = -m*f + z + 47. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o + 5 = -79*o + 4*y, o + 4*y - 23 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13394 is divided by 181.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3 - 5\/2*i**2 + 0*i + 5\/6*i**6 + 0*i**4 + 0*i**5 + 0*i**3. Find the second derivative of b(z) wrt z.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 1 + (6 - 6) + 3. Solve -3*o - g = -17, -f*o + 18 - 6 = g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**3 - h**2 - 4*h**3 - h - 4. Let b be w(4). Calculate the highest common factor of b and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*i**2 + 15*i**3 + 20*i**2 + (-i**2 - i**2 + 0*i**2)*(2*i - 2 + 2) + (-1 + 1 + 2*i)*(-3*i**2 + 5*i**2 + 0*i**2) + i**3 + i**3 - 5*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4164980, -4164983, -4164988, -4164995?\n\"Answer: -d**2 - 4164979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**2 - 105340*f + 50315655 = 0.\nAnswer: 489, 20579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 2:35 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/12 - (-14)\/30\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1180 - -5899\/5. Which is the closest to -1\/4? (a) k (b) -2\/31 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 512 by -234693.\nAnswer: -512\/234693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 436 + 18947?\nAnswer: 19383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awwaww. What is prob of picking 2 w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8533*a**2 - 3*a + 264 wrt a?\nAnswer: -17066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 53.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 58*w**2 + w - 2 + 3*w**3 + 57*w**2 + 3 as o*w**3 + f + x*w + j*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -101\/555 - 2\/111. What is the nearest to 1 in x, -0.07, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46200777 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, v: 4, c: 5}. Give prob of picking 1 v, 1 c, and 1 j.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let a = i - -3. Factor 3*y**3 - 3*y + 0*y**2 + y**2 + 0 - a.\nAnswer: (y - 1)*(y + 1)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*j = 3*j - 13, -4*j = 3*c - 38. What is the units digit of 64\/c + (-4)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 433\/5 + -25557\/295. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(8\/3)*b*b)**(-3\/4)*(b**6*b*b)**(-24))**(1\/22) assuming b is positive.\nAnswer: b**(-391\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 + 123026?\nAnswer: 122535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -20*f**2 - 22*f - 1 + 13*f**2 + 23 + 12*f**2. Let i be d(1). Sort i, 11, 1 in descending order.\nAnswer: 11, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(192)*-6)**2 - ((sqrt(3) - 1*sqrt(3)) + 0 + (-1 + sqrt(432))**2).\nAnswer: 24*sqrt(3) + 172367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-105)\/100)\/(126\/(-210)).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from dhdhcxhaddddddhdad?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a - 17205 = -3525. Let k = -17550 + 25917. Let p = a + k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 (base 10) to base 5\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/15 and 64\/967533.\nAnswer: 4837665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 2*u + 9. Let k = 1559 + -1556. What is c(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 61103968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from jjbsj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9515 or -2\/3?\nAnswer: 9515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 7. Let p be w(-4). Let t(g) = -g**3 + 10*g**2 + 11*g + 5. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62188113, 124376228, 186564343, 248752458, 310940573, 373128688?\nAnswer: 435316803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 b when two letters picked without replacement from ccobobbob?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -112*d. Let o(j) = -215*j**2 - 80*j - 40. Let t(b) = -16*b**2 - 6*b - 3. Let f(u) = 3*o(u) - 40*t(u). Determine f(w(i)).\nAnswer: -62720*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a08966 - 1?\nAnswer: 6a08965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11389 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 equal to -179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/12)\/(3 - 48\/18). Let r(h) = -6*h**3 - 24*h**2 - 3*h - 38. List the prime factors of r(g).\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9461 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 p = 38 + 9. Let a = 47.000259 - p. What is a rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 3)*(16\/(-2) + 3). Suppose d + 6 = 3*d. Find the first derivative of -b*g**4 + 22*g**d - 22*g**3 + 16 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33381 and 7418?\nAnswer: 66762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((1 + sqrt(11))**2 + -4).\nAnswer: 2*sqrt(11) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -2.4238 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 36 + 4 = 3*m, 3*b - 4*m = -5. Let q be (-6)\/4*2*-1. Solve -4 = -q*x + b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + 0)*-5 + ((-2*sqrt(77))\/sqrt(11) + -1 + (sqrt(7) - sqrt(63)))**2.\nAnswer: -42*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03 + 2. Let u be (54\/(-12))\/3*4*2\/3. Put u, w, -0.4 in descending order.\nAnswer: w, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s**3 - 111*s**2 + 61*s - 394. Is l(39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = -a - 5*j - 168, 5*j + 853 = -3*a. Is a greater than -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3800427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*i**2 + i**2 + 3*i - 2*i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 422 - (-1)\/(((-6)\/1)\/(18\/(-3))). Let j(k) = -k + 47. Let q be j(0). What is the greatest common factor of q and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29115 (base 10) to base 3\nAnswer: -1110221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y. Let w(d) = -d**3 - 9*d**2 - 10*d + 7. Let s be w(-9). Let t(j) = -j**2 + 97*j - s*j. Determine t(p(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d - 5. Let i be c(5). Let y(w) = 3*w**2 - 11*w - 6. Let z be y(i). Let l = z - -97. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(250) + -2.\nAnswer: -2 + sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*j - 7*j - 14*j)*(4*j - 3 + 3)*(3*j + 1 - 1)*(4 - 2 + 1).\nAnswer: -252*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*t - 21, 0 = -i + 75*t - 79*t + 28. What is the third smallest value in -4, i, 0.2, -10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2117 is divided by 59.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44 + 17 - 9*t**2 + 14 + 14 + 5*t to i*t**2 + c*t + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3 + 1 - w + 0. Let d(b) = -4*b - 7. Suppose -4*p = -5*p + 4. Let m = -60 - -46. Calculate m*j(n) + p*d(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 13 = d + 3*x, 2*d - x = 4. Let m be 3*4*d\/18. Suppose -m*a + 3 = -7. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61325765 divided by 12265153?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 45*o**8\/112 + 17*o**7\/10 + 121*o**6\/120 - 109*o**5\/60 - o**4\/6 + 2*o**3\/3 - 464*o**2. Solve d(g) = 0 for g.\nAnswer: -2, -1, -1\/5, 2\/9, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1965*h**3 + 169*h**3 + 1095*h**3 + 3*h**2.\nAnswer: 3229*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 4\/11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.602 + 1.602000887. What is n rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259 divided by -5293.\nAnswer: 259\/5293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = j. Let t = -3 - -3. Suppose 3 = 5*r - 4*y, -5*r + y = -t*r - 12. Solve -4*h + r*h = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22242 and 66?\nAnswer: 22242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20\/101 + 184\/1111. Sort 2\/3, -35, -1, b.\nAnswer: -35, -1, b, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogosggeepszg. Give prob of picking 1 p and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -0.198?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 3*h. Is 21 + -2 + h\/(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 126 = 136. Let l = -6 + 6. What is the third smallest value in -0.04, s, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.22, -0.2, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -147756?\nAnswer: 3\/24626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1514 is divided by 1366?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**5\/20 + r**4\/3 - r**3\/2 - r**2 + 12*r. Suppose m + 52 = 5*m. Let b = 9 - m. Calculate s(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/(-6) + (-15)\/(-10). What is the units digit of 30\/n*(-160)\/((-30)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-4)\/138). Suppose -5*j + z = -87. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1549 divided by -71\nAnswer: -1549\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 218250 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3221814*h**3 - 1610898*h**3 - 1610905*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*b**5 - 83054*b**4 - 1978680*b**3 - 11546784*b**2 + 2664576*b = 0. Calculate b.\nAnswer: -12, 0, 2\/9, 9252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33 + -27)*(-2)\/(-4). Let l(h) be the second derivative of 0*h**x + h + 1\/2*h**2 + 0 - 1\/12*h**4. Suppose l(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 12233142?\nAnswer: 12233142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1894 - -1970. Which is the nearest to 0.1? (a) -1 (b) r (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11 + 1)*12\/18. Let h be (-142)\/(-8) + 2\/o. Suppose 2*b - h = -4. What is the highest common divisor of b and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -50, -51, -52, -53, -54?\n\"Answer: -o - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 480.9278ml to litres.\nAnswer: 0.4809278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - m**2 + 0*m**2 - 2 + 8 + 5*m**2 - 8 + 3*m**2 - 2*m**2 - 3*m**2 + (4 - 2 - 3)*(-3*m**2 - 3*m**2 + 5*m**2).\nAnswer: 3*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 54 = -363. Let o = h + -100. Suppose 2*j + 16 = -2*j. Put o, 0, j in decreasing order.\nAnswer: o, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 1675.\nAnswer: -1674.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 2\/9, -0.05, 2\/11, -5, 8 in decreasing order.\nAnswer: 8, 3\/8, 2\/9, 2\/11, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Differentiate u**3 + 9 - 3*u**n - 3*u**3 + 3*u**3 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-7) - -4 - (-6 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876 = -14*q + 2*q. Find the second derivative of -q*n**2 - 7*n - 27*n + 72*n**2 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3723, -3775, -3859, -3981, -4147, -4363?\nAnswer: -4635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0, -387, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5344\/2235 - -4\/447. Which is the smallest value? (a) -9 (b) 5 (c) r (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31022300 (base 4) to base 11.\nAnswer: -37583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 + 2*l**2 - 2*l**2)*(-16 + 6 - 2*l + 0*l).\nAnswer: -2*l**4 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 2. Let v be r(2). Let x be (-3 - v) + 0\/1. Let f(t) = t**3 + 3*t**2 - 2*t. Let s be f(x). Solve s*k + 25 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2 (b) -1596.1 (c) -0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 1038\/(-14)*10\/150\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4309.\nAnswer: 31, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 9879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by (-23)\/(-46)*(-4 - -2)*-15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1772083, 7088372, 15948861, 28353556, 44302463, 63795588?\nAnswer: 86832937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 76580\/93 less than 822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/28*(-15)\/((-1560)\/112).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338.09 - -359.2. Let l = 21 - z. What is l rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**5 - 4*z**4 - 16*z**3 + 16*z**2 = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33057871 or 1\/2?\nAnswer: -33057871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -37*w + 40*w. Is -41 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342024 (base 6) in base 15?\nAnswer: -88aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/12 and ((-12)\/(-130305))\/((-2154)\/2513).\nAnswer: 74460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/35*3\/(-6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23201626 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*z - 10 = -2*c, 2*z = c - 4. Let g(r) be the first derivative of c*r - 1\/8*r**2 - 1\/6*r**3 - 1 - 1\/16*r**4. Find o such that g(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7813?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91282 - 10*l - 91282 - 4*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -201210 (base 3) to base 5\nAnswer: -4114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6*(1\/(-18))\/(56\/(-48)). Suppose v + 2 - 1 = 0. Which is the second smallest value? (a) 2\/3 (b) 0 (c) v (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -138133 = -690658\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t - 12. Let m be y(8). Let a = -3 - m. Let k(b) = 5*b. What are the prime factors of k(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.04 (b) -1.5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 35 - 3*o + 68 - 16.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14874403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 - 4) - 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**2 - r. Let h(x) = 9*x**2 - 2*x + 1. Determine 7*b(s) - 4*h(s).\nAnswer: -s**2 + s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 107 - 1 + 38 = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*s - 4495, 0 = -5*t - 0*s + 4*s + 11234. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -10 (c) 14 (d) -0.4 (e) 2\/13 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 0 - 2 + 7*p - 2 - p**2. Let u(r) = -2*r + 19. Let k be u(7). Determine g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*d**2 + 470*d**2 + d - 138*d**2 - 136*d**2.\nAnswer: -7*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/i**(-5)*(i\/(i\/(i*i*i\/i**(-2\/3))))**(8\/7) assuming i is positive.\nAnswer: i**(25\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11918*z**2 + 11918*z**2 - 35772*z**2 + 11922*z**2.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a85 - 25a4?\nAnswer: -1a1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -4*(161\/(-28) - -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/21 - 3\/(21\/2). What is the third smallest value in -4, -3.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.07 + 0.07. Which is the third smallest value? (a) i (b) 2 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58088201?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346084 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3 = c - 4*v, -4*v + 6 = 2*c. What is the units digit of 7\/c - 2\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 + 752*w - 301. Give j(126).\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -67605498 divided by -3\nAnswer: 22535166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 192856 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-12))\/((-2)\/(-774)). Let i = -127 + y. Solve 0 = 6*h - i*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 7*x**2 - x - 38. Let c(z) = -z**2 + 1. Let m(h) = -c(h) - t(h). Let b be -1*0*6\/(-12). Is m(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-22\/5)*x*(x**21*x)\/x assuming x is positive.\nAnswer: x**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 6. What is the lowest common multiple of 6\/(-15) + 22\/s and 21 + 1 - (1 - 1)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -0, -5*v = -g - 12. Let s = g - 1. What is the units digit of (-29)\/s + 4\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*(-3 + 0). Let f(p) = -p**2 + 3*p - 2. Let u be f(v). Let k = -134\/9 + 15. Is k smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/42434 and 93\/32619622?\nAnswer: 228337354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 63.7, -4, 1\/2, -2, -3, 0 in descending order.\nAnswer: 63.7, 1\/2, 1\/3, 0, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2*x + 0)*(7 - 7 - 2*x) + 3*x**2 - 3*x**2 - x**2)*(-9 + 9 + 11*x**2)*(2 - 1 + 1).\nAnswer: -110*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7*-1.178\nAnswer: -8.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -845 + 863 - (27 + 0).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19, -13, -3, 11, 29, 51, 77?\n\"Answer: 2*g**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209332 and 649.\nAnswer: 2302652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5\/11 + 142*s**4\/11 - 1094*s**3\/11 - 142*s**2\/11 + 1092*s\/11 = 0.\nAnswer: -78, -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**6\/18 - 2*c**5\/15 + c**4\/12 - 1061. Factor n(o).\nAnswer: o**3*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**2 + 17*r**2 + 8*r**2 + 11*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 - 2*q + 2. Let k(x) = x**2 + x. Let i(j) = -j. Let s be i(4). Let u(y) = s*k(y) + f(y). Give u(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 33214372*d\/5 + 99643134\/5.\nAnswer: -2*(d - 16607189)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 11:55 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24 - 17. Let r = -5 + l. What is the units digit of r\/9 - (-620)\/45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48075 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100110111110 (base 2) to base 12.\nAnswer: 6226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**4 - 7247*u**3 - 4806606*u**2 - 56897460*u - 169911000 = 0. What is u?\nAnswer: -6510, -725, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/5*360\/(-1188).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 10:31 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let f(p) = 67*p**2 + 8. Determine f(o(i)).\nAnswer: 268*i**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21))\/(-2 + 9\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*b**3 - 87*b**3 + 28*b**3 + 29*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/21, 1\/29, -0.5, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5038924, -10077845, -15116762, -20155675, -25194584, -30233489, -35272390?\n\"Answer: 2*d**2 - 5038927*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(1\/29)*m)*(m**(-1\/18)\/m)\/m*m\/(m\/(m*m**(-4\/3)))*m**(-9)*m assuming m is positive.\nAnswer: m**(-5441\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18897 = -517*c - 1319 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308410518?\nAnswer: 2, 3, 13, 569, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4544 or 107596?\nAnswer: 107596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 1520?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1702, 2058, 2676, 3556, 4698, 6102?\n\"Answer: 131*d**2 - 37*d + 1608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*f**3 + 16*f**3 - 51*f**3 - 35 + 63*f**3 in the form m*f + k*f**3 + v*f**2 + s and give k.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 501 in increasing order.\nAnswer: -5, -3, 501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/120 - j**5\/60 - 8*j**2. Suppose -5*w + 2*w = 0. Let q be v(w). Which is the nearest to -0.1? (a) 3\/5 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w - 5. Let t be n(4). Suppose 4*r = 5*i - 45, 112*r - 109*r + 5 = -2*i. Sort -3, r, t in decreasing order.\nAnswer: t, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 4, 7, 12, 19, 28?\n\"Answer: a**2 - 2*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 77, 104, 125, 140, 149?\n\"Answer: -3*a**2 + 42*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + 2*v**3 - 313 + 304 - v**2 + 9.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 716\/45 + -136\/9. What is the third smallest value in -8, b, 1, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccfcc. What is prob of picking 1 f and 2 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - 13*k + 22. Let h be w(-16). Let j(s) = 4*s**2 - 4*s - 13. Let y(l) = l**2 - l - 3. What is h*y(g) + 6*j(g)?\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7*o + 11. Is t(-8) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**2 - 4\/3 + 7\/3*p**3 + 13\/3*p - 1\/3*p**4 = 0. Calculate p.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1121, 2240, 3359, 4478?\n\"Answer: 1119*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65886 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h**(-14)*h))**31 assuming h is positive.\nAnswer: h**279","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5677 is divided by 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + 7*y**2 + 0*y**2 + (-7*y - 7 + 7)*(2*y - 4*y + y).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17669 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 19*b + 56. What are the prime factors of 42\/b - (-7533)\/12?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 3355*x**2 + 3370*x - 6720.\nAnswer: -5*(x - 672)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*v + 15*v = 52*v - 1360 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 4\/14073927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntinnnnntn. What is prob of picking 1 n and 1 i?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - h - 20, 3*h - 5 + 33 = -j. Let q = j - -28. Solve -4*o = -g + q, -2*o + o + 3*g + 8 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 2*g**2 + 9*g + 12*g)*(4 - 6 - 3).\nAnswer: -15*g**2 - 105*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000016926217 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -56*b**2 - 752*b - 1499. What is r(-2)?\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*k - 31, 2*k - 21 = -3*w + 2*w. Suppose 4*z + 22 + 22 = 0. Let h = -8 - z. Solve 4*u - w = h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 32, 34, 38, 44, 52?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + x**3 - 187*x - 135*x**2 + 20*x + 169*x + 1 in the form k*x**4 + r*x + q*x**3 + h + p*x**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 1. Suppose -3*x + t = -49, 2*x = -0*x - 4*t + 28. Let v = -20 + x. What is y(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 85.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -13*w**3\/6 + 5*w**2\/2 - 230*w. Let j(r) = 7*r - 2. Calculate -5*j(i) - 2*o(i).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.015? (a) -9 (b) 0.4 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.921572 - 7.92. Round f to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s. Let p be w(-1). Let f(h) = -p*h + 1 + 1 - 3 + 9*h. Let b(o) = 20*o - 3. Let v = -5378 - -5361. Give v*f(n) + 6*b(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1945145155 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 11, j: 5}?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1075\/6 - 180. Let n be (-3)\/(-9)*3 - 3. Is j less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 5) to base 3\nAnswer: -1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239 and 32190671.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 119, -0.2, -5, 0, 7, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5960*i**2 + 6105*i**2 + 102 - 186 + 84.\nAnswer: 145*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -26*t + 26 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g + 5. Solve 6 = -g*d - 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40.5 - 14.8. Let j = y - 26. What is the third smallest value in 0.06, -5, j?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/3 + 92*f**3\/3 + 1798*f**2\/3 + 5956*f\/3 + 1417 = 0. Calculate f.\nAnswer: -13, -3, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.8. Let p = 0.0581 + 0.0419. Sort 0.3, p, v.\nAnswer: v, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -55. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178546756 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*h + 407*h - 24 = 0. Let b(f) be the second derivative of 0 + 3\/2*f**2 + f + 1\/6*f**3. Determine b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 4*m + 7. Suppose 0 = -w - y + 1, -5*w = y + 2*y - 13. Let t be j(w). Suppose 6*q = -24*q + 60. Solve 0 = -2*g - t + q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -344 in 745, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 g when four letters picked without replacement from nwggggwgnngwnwn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 34*g**2 + g. Let l(t) = -325*t - 50. Let v(r) = -6*r - 1. Let u(y) = -l(y) + 50*v(y). Give n(u(o)).\nAnswer: 21250*o**2 + 25*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a millennium?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/891*-63*4\/((-8)\/(-3))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 j when four letters picked without replacement from mimmjimmimbimmjmmmm?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7748*i = 7899*i - 453 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/566 in 0, 70, 3, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 - 6*l - 9. Let k be f(6). Suppose -4*q - 9 = -q, -5*o + q + k = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 178*n**3 - 3443*n. Let r(p) = 5*p. Give v(r(f)).\nAnswer: 5340*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33777420 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2911)\/(-615) - (11 + -2 - 4)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -539.\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.3 times 180040?\nAnswer: -3114692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130533162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4 - 2*o + 1 + o. Suppose -z - 3*n = 2*n - 21, -4*z - 4*n = -20. Let t(p) = p + 1. Give z*q(x) + 2*t(x).\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 c when three letters picked without replacement from {c: 3, o: 1, i: 3, h: 2, p: 3, t: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 8\/21. Let h = 3.1316 - 3.1516. Let j = 1.3 + -0.3. Which is the nearest to k? (a) j (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfpjpfpjffjjfppffjfj. Give prob of sequence pp.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -x - 0. Suppose 5 = d + x*q - 1, 6 = d - q. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1022 and 164250?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07721 - 0.33721. Put -0.4, 5, 5\/3, -3, p in decreasing order.\nAnswer: 5, 5\/3, p, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4944.9, -0.1, 0.17 in decreasing order.\nAnswer: 4944.9, 0.17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 8009*o**2 - 8037*o**2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -270079 and -349094702.\nAnswer: -349364781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 13*b + 67. Is 18 a factor of p(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q**2 - 2520*q + 21489. Give o(8).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 + 29. Suppose -4*b + 2*o - 363997 = -o, q = -2*b + o - 181999. What is b rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 9. Let t be x(10). Suppose t = 5*u + m, 0*u - 4*m = -2*u - 10. Suppose u*w + 2*w - 10 = 0. Calculate the smallest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 6) in base 15?\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304111 by -389.\nAnswer: -304111\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 s when four letters picked without replacement from sooso.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -758 - -888.6. Let y = l + -131. Put -1, y, 5 in increasing order.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -1 + 0*z**3 + 2*z - 1\/4*z**4 + 3\/2*z**2. Factor u(s).\nAnswer: -(s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8423 - -8419. Suppose 4*r - 16 = 5*p, -5*r + 12 = 2*p - 8. Let t be p\/1 - 4\/(-6). What is the third smallest value in n, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 330050801 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24009 is divided by 12001.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u - 51*u - 176 = 27*u for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -14*y**2 - 2268*y - 8863. Give u(-158).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23*258\/5934)\/(2\/160)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 6 + y**2 - 6.\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.959 + 38.819. Which is the third smallest value? (a) x (b) -2 (c) -5\/4 (d) -2\/5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 5\/6*l**3 + 0*l + 11\/24*l**4 - 10*l**2 + 0. What is the first derivative of r(v) wrt v?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 2:51 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-24)*42\/(-35) + (-126)\/72. What is the closest to p in -54, -5, -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 0?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/18356 and 7\/6070.\nAnswer: 55710460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*a - 241 + 265, 2*d = -4*a - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -31. Let s = g + -12. Let p = -5 + s. Let a(o) = o**3 + 2*o**2 + 1. Let l(c) = -6*c**3 - 10*c**2 - 6. Calculate p*l(j) + 16*a(j).\nAnswer: -2*j**3 + 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 462859*o**5 - 2*o**3 + 495916*o wrt o?\nAnswer: 9257180*o**3 - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 2. Let b = u - 1. What are the prime factors of (5 - -38) + b\/(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + i + 3*i - 26 = 0, -i = -4. Differentiate -59*l**2 + 125*l**v - 61*l**2 - 81 + 7*l wrt l.\nAnswer: 10*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13aa627 (base 11) to base 6.\nAnswer: 123433233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 144456?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/20 - w**4\/12 + 7*w**3\/6 + 15*w**2\/2 + 46*w + 2. Let g(q) = -3*q - 1. Let z(u) = -2*g(u) - t(u). What is z(0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 20 = 2*o - 10, 0 = -3*i + 3*o - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 5*c = 32220 - 32162, -4*c + 43 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -1. Let a = 45 - z. What is the second smallest value in a, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -54\/787?\nAnswer: -54\/787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 4*x - 14, 663 - 691 = -2*j - 7*x for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-9))\/((-10)\/(-15)). Let n(l) = l. Let d(q) = -q**2 - q. Calculate m*n(g) - d(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1796419\/20 + -89778. Let o = p + 31\/20. What is the common denominator of -15\/14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 1376 = 367. Suppose -3*i + 188 = 3*h - i, -4*h - 3*i + c = 0. Let f = -43 + 87. Calculate the greatest common divisor of h and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 7*z = -12*z + 8, 4*d + 2*z = 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 2*z + 3. Let c be d(2). Let i(v) = -2*v**2 - 5. Let s(p) = -268*p**2 + 482*p**2 - 9 - 217*p**2 + p. Determine c*s(k) - 5*i(k).\nAnswer: k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1236600429 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 -407, 0.077, 1\/19, 4?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -56130, 2, -2.\nAnswer: -56130, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 271*k**7\/42 + 3*k**5\/10 - 3*k**3\/2 - 421*k**2\/2 + 4299*k. What is the second derivative of b(n) wrt n?\nAnswer: 5420*n**3 + 36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -186 and -0.01.\nAnswer: -186.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5, -1, 43, 157, 371, 715, 1219?\n\"Answer: 5*d**3 - 10*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (4 + 4\/22). Let d = 2.1 + -1.6. Let z be ((6\/9)\/(-1))\/(6\/(-9)). Which is the closest to d? (a) z (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(5) + sqrt(5) + 1) - sqrt(20)*2)**2.\nAnswer: 96*sqrt(5) + 356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l + l**2 + 4*l + ((2 + 0 + 0)*(0 + 0 + l) - 4*l + 6*l + 5 + l)*(3 - 3 + l + (2 + 1 - 4)*(-521*l + 294*l + 274*l)).\nAnswer: -229*l**2 - 230*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313371*l = 313399*l - 626650*l + 3120 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77068?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**3 - b**2 + 1. Let j be f(1). Suppose j*r - 2*g = 90000, -6*r = -r - 3*g - 90000. Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37962 and 174.\nAnswer: 1100898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235051 is divided by 1064?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 31*n**3 - n.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**(1\/28))*(k**(-1\/2)*k)\/k assuming k is positive.\nAnswer: k**(-13\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/30 - a**4\/24 - a**3\/3 - a**2. Determine t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5\/3))**(2\/55)\/(m**11\/(m\/(m**20*m))) assuming m is positive.\nAnswer: m**(-1025\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 687600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 6) to base 3\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*y - 11 + 15 - 28*y to i + x*y and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/25*x**3 + 6\/25*x**2 - 2\/25*x**4 - 16\/25*x + 8\/25 = 0. Calculate x.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 118.1 + -118. Are -34 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u. Let q(v) = v**2 + 5*v + 5. Let j be q(-4). Let l be b(j). Solve l*w - 3*w - 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/100 + (-3)\/(-12). Let l = 26433\/4 + -6609. Which is the closest to p? (a) -1 (b) l (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1288 and -44\/189037.\nAnswer: 10586072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:58 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5893 + 5896. Let v be (-2 + -2)\/(0 - 1). Solve 4*c + 12 = -v*s, 5*s - c - h*c + 33 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - (-10 + 20) - (6 + (-9 - (-5 - -4))).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**7*b)\/b)\/(b\/(b*b\/b**11))*b**(13\/5)*b**(-24)*b assuming b is positive.\nAnswer: b**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 22*w**2 + 19*w**2 - 2*w**4 + 15*w**2 + 8 - 10*w + 0*w**4 to the form x*w**2 + v*w**4 + n + k*w + b*w**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 115133 - -0.23?\nAnswer: 115133.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/6 - 1\/2. Let a = -0.1373 - 2.8627. Suppose d + 4*d - 41 = -4*q, -d + q + 1 = 0. What is the nearest to m in d, -0.2, a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 + 2.6. Let b = a + 3. Let g = b + 2. Is 0.3 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52713372 - 0.1181323. Let d = k + -0.409. Round d to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7466819 is divided by 335?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -3. Differentiate -h*v + 5 + 0*v + 5*v wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4364*f + 3269 wrt f?\nAnswer: -4364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*h + 76*h - 1218 = -41*h for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4558389.\nAnswer: 3, 11, 47, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 6*z**2 + 7*z - 3. Let u(v) = v**3 + 6*v**2 + 8*v - 2. Let b(f) = -13*s(f) + 12*u(f). Determine b(-5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 + 528328*h**2\/7 + 34891309448*h\/7.\nAnswer: 2*h*(h + 132082)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20536265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j + 56 = -7*j. What is the highest common divisor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (462\/56)\/11*12. Let o(i) = 3*i**3 + 6*i**2 - 7*i + 8. Let k(x) = 8*x**3 + 19*x**2 - 22*x + 25. Let w(u) = 4*k(u) - 11*o(u). Determine w(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9846*c**2 + 9045*c.\nAnswer: 19692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 4)\/(2\/(-2)). Let s(x) = -x**2 - 3*x + 6. Let j be s(c). Suppose -6*t = -5*t. Sort j, 3, t in descending order.\nAnswer: 3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.2 + -0.2. Suppose 324 - 360 = -9*g. Let u(s) = -s**3 + 3*s**2 + 2*s + 3. Let j be u(g). What is the smallest value in -10, v, -1\/3, j?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221201 + -1?\nAnswer: 221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 1. Let h be n(-1). Let b be 1 + -2 - ((-65)\/260 - (-6)\/(-8)). Solve -x + 2 - 6 = b, 0 = -5*m + h*x - 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -5, 8, 12, -20, 5 in descending order.\nAnswer: 12, 8, 5, 4, -1, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w - 5. Let f be r(-8). Suppose f*h + 6 - 18 = 0. Solve -z = -4*s - h*z - 3, 1 = -s - z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.225\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1874*h - 1875*h + 4*n - 21 = 0, 0 = -4*h + 5*n - 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 4*i + 16. Let g be y(-7). Let v(z) = -2*z**3 + 7*z**2 + 11*z - 3. What is the hundreds digit of v(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 1, -4 in decreasing order.\nAnswer: 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c + 31*c**2 - 3*c + 16*c**2 to the form y + g*c**2 + t*c and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6968, -6899, -6786, -6629, -6428?\nAnswer: -6183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t**5 + 9*t**4 - 184*t**3 + 77983*t**2 wrt t?\nAnswer: -360*t**2 + 216*t - 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13 - 5*r**2 - 14 + 1. Let n(f) = 8*f + f - 2*f. Calculate i(n(a)).\nAnswer: -245*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16*108\/16*-1*(-46)\/(-138)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*l + 686*l - 42 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -44 + 25 - (15 - 4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.235 - 0.3. Let p = -0.05 - s. What is p rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4 + (-195)\/60)\/((-56)\/32)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 21. Let j be r(0). Let l = j + 42. Suppose -4*z = -39 - 5. Calculate the remainder when l is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjjssja. Give prob of sequence js.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3168925 and 3802710.\nAnswer: 19013550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 5 + 1 + 4*z + z + 0*z**2. Let b(a) = 0*a**2 + 0*a**2 - 6 + a**2 + 10*a. Let g be b(-10). What is y(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270897, -270898, -270899, -270900, -270901?\n\"Answer: -c - 270896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**5 - 35*z**4 - 335*z**3 + 275*z**2 + 1890*z - 1800 = 0.\nAnswer: -5, -3, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 5. Let s be h(3). Let z be (0 + 3\/(-10))*s. Let f = 4.6 + -0.6. Which is the third biggest value? (a) -0.5 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/2 - 11*v**3\/3 + 10*v**2 - 12*v + 16\/3.\nAnswer: (v - 2)**3*(3*v - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 - 46452*j**3 - 192868092*j**2 - 101051680800*j - 14197095480000 = 0 for j.\nAnswer: -7450, -292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.009093242 and -79.\nAnswer: -79.009093242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.25 + 3.6. Let p = s - 8.35. What is the second biggest value in p, -2\/7, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.5 times 56\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/4*20\/6. Let n = -44 - -41. Suppose 2*u + 4*b + 10 = -0*u, 3*b + 15 = 0. Put u, a, n in decreasing order.\nAnswer: u, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -241*f + 0 + 1\/84*f**4 + 62\/21*f**3 + 1922\/7*f**2. Let p(i) = 0. What is i?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/240 + 21\/28 + (-3)\/4.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/8, 3, 3\/7, -3, 122.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + l + 2*l)*(-428 - 40 - 401 - 77).\nAnswer: -946*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 80, -2\/13, 2\/245 in decreasing order.\nAnswer: 80, 2\/17, 2\/245, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(468)*-1 - sqrt(468))**2 - sqrt(13)).\nAnswer: -sqrt(13) + 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 395002*r + 12. Let v be j(-6). Round v to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(-7*(-5)\/35)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*x - x, 4*b = 3*x - 323. Let c be (-62)\/b + 6\/(-16). What is the closest to 1\/3 in 0.2, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(0 - 1\/1). Suppose 0 = -47*l + 2200 + 1560. Let y be q\/7 + l\/35. What is the highest common divisor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 12112100010?\nAnswer: 12112100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 4*c**2 - 21*c - 32. Let i be o(-8). Let a = 410 - i. What is the least common multiple of 102 and a?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5+1.4\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270779?\nAnswer: 23, 61, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -12757 - 2111. Let q be ((-36)\/15)\/(2\/15). Is (q\/36)\/(1\/z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-10)*25\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1465515 (base 7) to base 11\nAnswer: -12822a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*n**2 + 194 + 4*n**3 - 815*n**2 - 194 - 2*n**3 to z + x*n + j*n**2 + t*n**3 and give j.\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**2 - 11*s + 11*s + (-2*s + 3*s - 3*s)*(-2*s + 5*s - 2*s) as b + i*s + j*s**2 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1784893899 = -29*n - 124353899. What is n rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - 0.5. Let r = 1.954 - -0.046. Let v = -104 + 109. What is the second smallest value in r, v, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxxe when four letters picked without replacement from {h: 4, m: 1, x: 4, f: 1, i: 1, e: 4}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 + 5.7. What is the closest to -1\/2 in 4, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 14080\/9, 4 in ascending order.\nAnswer: 0.5, 4, 14080\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -8. Let k(j) = -3*j**3 + 2*j**2 + j. Let m(q) = -10*q**3 + 4*q**2 + 3*q - 1. Let t(u) = -7*k(u) + 2*m(u). Calculate t(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k + 9*k - 16 = 11*m + 15*k, k + 4 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*1)\/((2*sqrt(16))\/sqrt(8)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 73. Calculate the highest common divisor of 25 and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfsf when four letters picked without replacement from {f: 2, s: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 u, and 1 c when four letters picked without replacement from yucbpyuuuuuucbucyr.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 27*b**2 - 25*b + 18. What is a(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 10. Let m(o) = -o**3 - 7*o**2 - 4*o + 17. Let j be m(-7). What is the highest common divisor of j and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592348.89 hours in weeks?\nAnswer: 3525.88625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, i: 6, q: 2, z: 1, b: 5}. What is prob of picking 3 i and 1 b?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 58*c - 1126. Determine n(-27).\nAnswer: 1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*s + 162*s + 14080 = -31*s - 43*s for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -32, 1, 68, 181, 352, 593?\n\"Answer: 2*f**3 - f**2 - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1074*f**4 + 150*f + 5 wrt f.\nAnswer: 12888*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/(-11) + -1)\/((-96)\/(-1056)). Suppose -f = -v, 2*f - 352 = -2*z - f. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0\/(-1) + 5. Suppose 4 = u*x - x. Let g = x - -20. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 57, 66, 79?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240029360 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041899789 less than -512?\nAnswer: 1041899277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 18*z**2 + 33*z - 5. Determine h(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5417460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 t when two letters picked without replacement from eebbebebetb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1068 = -5*z. List the prime factors of z.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 91744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {b: 2, s: 1, d: 1, c: 1, f: 1, x: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 - -2. Let p = -3.6 + 3.5. Is w bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 115828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002*x + 1010*x = -40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1036\/24)\/(-37)*1*4\/(-14).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19608 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 greater than 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 237 and 843?\nAnswer: 66597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*o + 16 = 0, 3*o = 2*x + o - 10. Let j = x - 10. Let i be (-26)\/39*j\/4. Which is the nearest to -0.1? (a) 1\/7 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38 and 1409.\nAnswer: 53542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(7\/3)*s)\/s)\/s*s)**(-33)*(s**(-1\/4)\/s)\/s**(7\/2))**(-36) assuming s is positive.\nAnswer: s**(-1413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*8\/112*5\/(-10))\/((-30)\/3480)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004238349 to seven decimal places.\nAnswer: 0.0004238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 539521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, 0.5, -0.52, -509, -7?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 668363\/243 or 2749?\nAnswer: 668363\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 1. Suppose 9*r - 20 = 4*r. Does 3 divide c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 2 + 4*v + 171*v**3 + 9*v**2 - 6*v**2.\nAnswer: 171*v**3 + 3*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.0152 - 14.0152. Let l be (-7)\/5 - 2\/(-1). Sort -2, l, f in ascending order.\nAnswer: -2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, -56, -8, 1.6, -2\/9?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3395435*g**2 - 3395435*g**2 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*d + 134*d = 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j - w - 31*w - 163, 2*j - 7*j + 0*w = w + 10 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 68*r**2 - 5985*r + 81. Determine t(88).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-510)\/408*(-2)\/(-9)*6\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a. Let m be c(0). Suppose m = 5*o - 26 + 6. What is the third derivative of 3*i**2 - 2*i**4 - 3*i**4 + 0*i**4 + 7*i**o wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 65. What is the third derivative of w**2 + 0*w**2 + b*w**2 - 15*w**3 - w**3 wrt w?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 35, -2, -5, -1 in ascending order.\nAnswer: -6, -5, -2, -1, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 513448329 to the nearest integer?\nAnswer: 22659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -q - 2*a - 0*a, a = 2*q + 2. Let l = 0 - q. Put 2, l, 5 in increasing order.\nAnswer: 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.3 + 2.9. Let u = -18 + b. Let a = -3\/20 + -1\/10. What is the closest to -1 in u, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 4, -2, 0, -995.5, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c + 1. Let a be w(-3). Let l(p) = p**3 + 7*p**2 - 7*p - 2. Let u be l(a). Is 5 a factor of 0 - (4\/u)\/(10\/650)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76565.3 meters to millimeters.\nAnswer: 76565300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hhhwwwh?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q - 1 - 10*q - 2 - 12*q as j + i*q and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 28) + -15 - (13 + 0 + 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16425 + -6218. Is 146 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1820 = 151*x - 156*x. Let u = -354 - x. Let o = -4 + 18. Solve o*v - 8 = u*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88380 (base 11) in base 4?\nAnswer: 133103203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/4*(-20)\/30)\/(25\/(-225)*3).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, -3, -2\/4935, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/992 + 1991\/6944. Suppose 0 + 2\/7*b - 4\/7*b**4 + 4\/7*b**2 - d*b**5 + 0*b**3 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 + 34*a - 11. Give v(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*a - i, -6*a + 7 = -4*a + i. Let d = -10 + a. Which is smaller: -11\/2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 - 1. Let o = -1664 - -68230\/41. Let p = o - 135\/82. What is the closest to -2 in p, l, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**0\/o)\/o*o*o\/((o*o**(-7)*o)\/o)*o**(-2\/3)\/(o\/(o**(1\/3)*o)*o))**(-2) assuming o is positive.\nAnswer: o**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*r**3 - 903206*r**2 - 45*r**3 + 903209*r**2.\nAnswer: 125*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 7*x + 192 = 0. Calculate the greatest common divisor of 42 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 + 14 = 0. Find the second derivative of 0*h**t + 4*h**4 + 2*h - 2*h**2 + 2*h**2 wrt h.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1741 rounded to 2 dps?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3346609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 + 9*m**2 - 19. Let r(b) = -3*b**3 - 4*b**2 + 9. Calculate -2*p(j) - 5*r(j).\nAnswer: j**3 + 2*j**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401 - 31 = -54*w. Let y(p) = -p**2 + 2*p. Let b be y(2). Suppose b = -4*r - 2*g + 20, -2*r + r - 2*g + w = 0. Solve 0*a - r = -2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33408, 20976, 254, -28758, -66060, -111652?\n\"Answer: -4145*j**2 + 3*j + 37550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16939, 66716, 149677, 265822?\nAnswer: 415151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/14)\/h*h**(-1\/2)*(h**(-3\/4))**(-1\/19) assuming h is positive.\nAnswer: h**(-815\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 - 112003*v + 111978*v.\nAnswer: -25*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/286 in -3, -0.3, 53.84?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1762\/2927 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00212803 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 748*k + 22. Let j(w) = -749*w - 29. Calculate 4*b(a) + 3*j(a).\nAnswer: 745*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-11)\/p*p**(-2\/25)*p)**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -244 - -269. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70468799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 0\/27)*2\/(-20). Let c = 16 + -10. What is the smallest value in 2, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/10 - 203\/(-70). Suppose 5457 = n*p + 14*p. List the prime factors of p.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.7693 meters in micrometers?\nAnswer: 402769300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 13. Let i be o(-9). Solve 2*r = 5*h - 3, i*h - 3*r - 7 = -0*r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*g - 30 = -j, -4*g = 0. Let x be (-10)\/j - 31\/(-3). List the prime factors of ((-2824)\/(-20) - -2) + 8\/x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3473 - -15322. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*f*z**4 + 734*f*z**2 - 2*f*z + 8034*z**6 - 2*z**3 - 1393*z wrt z.\nAnswer: -768*f*z + 964080*z**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -732705124*v**4 - 465971875*v wrt v?\nAnswer: -8792461488*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-306)\/8)\/(-9) - (-1)\/(-4). What is the third derivative of 799*i - 799*i + 22*i**2 - 14*i**m wrt i?\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.1, -95293487, 3 in increasing order.\nAnswer: -95293487, -0.3, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.5757180663 + -1.\nAnswer: -27.5757180663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/4)\/(-5))\/(3887\/108 - (315 - 279)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -363*g - 11634. Is 40 a factor of k(-76)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8409539937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 579*n**2 - 39*n + 41. Let v(y) = -193*y**2 + 12*y - 13. Calculate -5*q(c) - 16*v(c).\nAnswer: 193*c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -693047, -1386057, -2079067, -2772077, -3465087, -4158097?\n\"Answer: -693010*v - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = 51*z - 159*z + 46 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 1\/8 (b) 3 (c) -0.23 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18) + (-33)\/(-27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8025 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8*c + 2590. Round c to the nearest 10.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 19*o + 2. Let a be r(0). Solve 0*n + a*n + h = -7, 3*n + 3*h = -9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36894.\nAnswer: 2, 3, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-100)\/(-420)*154\/105?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8194422.\nAnswer: 2, 3, 199, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -347, -1409, -3173, -5633, -8783?\n\"Answer: o**3 - 357*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8363478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*v**2 - 3144*v**2 - 940*v - 1485*v**2 + 3 - 1127*v**2 wrt v?\nAnswer: -11368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.040316 - 0.0404. Round m to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -0.1, -119, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/18)\/((-5)\/18). Let o(h) = -h**3 + 9*h**2 + 7*h - 17. Calculate the remainder when o(j) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -336, -772, -1394, -2208, -3220?\nAnswer: -4436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -787.00000617 - -787. What is p rounded to seven decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of -b**5\/20 + b**4\/4 + 23*b**3\/6 + 3*b**2\/2 + 43*b. Let y be t(-6). Calculate the greatest common divisor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214684 divided by -53671?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2164 + 1347?\nAnswer: 3533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -6*q**2 + q - 5. Let y(n) = 13*n**2 - 3*n + 11. Determine -9*g(d) - 4*y(d).\nAnswer: 2*d**2 + 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 0 + 6 = -4*k, 5*k = -5*x - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8 - -0.2. Let k = s - 5. Which is the nearest to k? (a) -3 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033*k + 46736 + 32096 = 8348 + 11603 for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(((-405)\/50)\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*f**2 + 2 + 47*f**2 - f**2 to the form t*f + i + u*f**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -1, -5\/12, 12?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3798888 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122877601017.39231 + 123482681820.3923179. Let f = u - 605080856. Let c = -53 - f. What is c rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - ((-796)\/(-24))\/(7\/(-28)). What is the greatest common divisor of d and 616?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let o(a) = -2*a**k + 10*a**2 - a**2. Let w(r) = -2*r**2. What is w(o(x))?\nAnswer: -98*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - 160. Let x be t\/6 + ((-12)\/(-9) - 2). Which is bigger: x or -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60720 divided by -2640.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 10 + 11 + 30*d**2.\nAnswer: 30*d**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25762 and 580816.\nAnswer: 6388976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 5. Let f be k(-7). Let o(y) = 8*y**2 - 9*y**2 + f*y**2. Let z(w) = -2*w. Give z(o(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 10*p**2 + 16*p + 3. Let z be c(8). Suppose z*s - 4 = 2. Solve g - 8 = -0*b + 2*b, -s*b = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/5 + 84*p**3\/5 + 636*p**2\/5 + 192*p = 0. What is p?\nAnswer: -16, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - z**2 + z. Let w(p) = -2*p**3 - 2*p**2 + p. Let u(v) = 4*c(v) - 3*w(v). What is u(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from ddddddddnnnd?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mygddjdmymy. What is prob of sequence myjy?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 65*j - 845. Give y(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*((-6)\/(-2) + -2). Let y = 15 + 5. Suppose y = l*v - 0*v. Let o(r) = -r + 9. Give o(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from yyyynrfxfffrfyvy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 7*x + 3282 - 1645 - 1646 - 7*x**2. Let i(v) = -v**3 + 3*v**2 + 3*v + 4. Determine 14*i(y) + 6*s(y).\nAnswer: -2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from yjyyyojqyqoq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 3 - 1 - (-3 - -9). Which is the nearest to -1? (a) 4 (b) q (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 232*w**3 - 48*w**2 + 50*w - 2. Determine b(1).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -94184851173.\nAnswer: -94184851165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 2*j**2 + 3*j**2 + (-3 + 2 - 3)*(-2*j**2 + 0*j**2 + 0*j**2) - 3*j**2 - j**2 + 6*j**2 - 2*j**2 + 4*j**2 + 5*j**2.\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, -4.\nAnswer: -4, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -586 = -65*b + 259. Solve -2*k - 3 = c, 37*c = 34*c - 2*k - b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/42)\/((-11)\/297*-18).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/11))**50)**(-38)\/((o*o**(-2\/7)*o**2)\/((o**(-2\/7)\/o)\/(o*o**(1\/4)))) assuming o is positive.\nAnswer: o**(-99031\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4921\/(-3515)*-1*4\/42?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 4229478.\nAnswer: 131113818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 14) to base 13.\nAnswer: -377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -103 + 49 - -12?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 5*a - 13. Let f = -136 - -129. Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + y + 14*y**2 - 6*y**2 - y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 810692847?\nAnswer: 3, 30025661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/7469 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179775 or -179760?\nAnswer: -179775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -0.3, -0.1952, -5?\nAnswer: -0.1952","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 10 = 6*k, -5*k + 45 = -1738*w + 1733*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2938*w + 1252*w - 2119*w - 2748*w.\nAnswer: -6553*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 397 + -711. Let n = 314 + w. Is -2\/611 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -6 + (37 - 45) + -2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039238859 to 7 dps.\nAnswer: -0.0000392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6265013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.3, 113, -3, 2\/7, -19\/16?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 11010433222?\nAnswer: 11010433222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-7) - 48\/28. Let m be 0 - 12\/(j - 2). Calculate the greatest common divisor of 27 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -386408.\nAnswer: -386407.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/15)*(o**14\/o*o*o)\/o assuming o is positive.\nAnswer: o**(214\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 e when four letters picked without replacement from eyeye?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.293047um?\nAnswer: 0.0009293047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 + 215. What is the units digit of -2*(628\/6)\/(h\/45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 - -162.26. Let p = a - 183. What is the third biggest value in -3\/5, -4, p, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:54 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 7*n + 18*n - 36753*n**3 - 2 + 3 - 10*n.\nAnswer: -36753*n**3 + 2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*u - 147. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 8. Suppose 5*b - f = -0. Suppose r + b*r - 16 = 0. Let s(h) = -h**3 + 5*h**2 - 2*h - 1. Determine s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -1. Suppose 25 = -y + s, -y - s = 4*s + d. Let o = -169\/7 - y. Which is the third smallest value? (a) -1\/3 (b) 0.03 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-4*(sqrt(2299) + 1))**2 - (sqrt(2299) + sqrt(2299)*1)*3).\nAnswer: -147200 - 1144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14979 is divided by 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110237037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.054 + 0.054. Which is smaller: w or 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 10. Let u = 10 - 9. Which is the nearest to u? (a) -0.4 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 22*z**2 + 5*z - 18. Let y be r(22). Solve 87*a = y*a - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*24\/9. Suppose p = 3*l - l + 39, -h*l = 8. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 115*u**2 + 4128*u + 232047. Give v(-57).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1772 is divided by 741?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 665 = -6*i + a + 664, 0 = -3*i - 4*a - 29 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 662*d**4 + d**3 + 539*d**2.\nAnswer: 15888*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 261 - 93. Suppose 5*j - g = k, 0 = j - 2*j + k + 36. Differentiate j*i**4 + 1 + 5 - 22*i**4 wrt i.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003182 to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f**3*j**4 - 517*f**3*j - f*j - 30*j**4 + j**3 wrt j.\nAnswer: -84*f**3*j**2 - 360*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294707485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-35)*(-7)\/(-945)*9.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(231)*2)\/sqrt(7) + (sqrt(33) - sqrt(297)*1))\/((sqrt(3) + ((-1*sqrt(12))\/sqrt(4) - sqrt(3)))*-2)*5 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5156580009.\nAnswer: 3, 7, 245551429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 3, z: 3, u: 1}. Give prob of sequence ou.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand k + k**2 - k + (3*k - 6*k + 2*k)*(-2*k + 2 - 2) + k**2 + 5 - 5 + (k**2 + 5 - 5)*(-3 + 3 + 2) - k**2 + 17 - 17 + (-2*k**2 + 3*k - 3*k)*(5 - 3 - 3).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 divided by 183?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-12)*(-117)\/(-65)*-2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) -1 (c) -0.1 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 9*t**3 + 213*t**3 - 4*t**2 - 21*t**3.\nAnswer: 183*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 2. Let p be (-34)\/(-10) + 12\/(-30). Let x(k) = k + 1. Let c(v) = p*r(v) + 6*x(v). Let u(j) = -j**2. Determine c(u(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*9219\/(-63))\/(-2). Solve 445 = n + b for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 7*x + 13. Let b be a(-4). What is the highest common factor of b and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (1 - 2 - (45 + -50)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -20) + -33 + -6 + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5\/3 - 58*s**4 - 1790*s**3\/3 - 1700*s**2 = 0.\nAnswer: -30, -17\/2, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 35.26814 litres?\nAnswer: 35268.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4bb?\nAnswer: 4b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 49.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2868*d**5 + 2*d**3 + d**2 + 3*d - 23 wrt d.\nAnswer: -172080*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7 (b) -4 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 9\/(-15) + (-33)\/(-5). Suppose x*w - 14 = 3*w + 2*g, 2*g = -3*w - 2. Solve -w*s + 10 = 0, 3*a + 2 = -3*s + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. Let a = j - 0. Suppose 0 = -2*d + 3 - 1. What is the nearest to a in d, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -8. Let z be (-18)\/a - (-3)\/6. Factor -4\/7*x**3 + 2\/7*x + 0*x**2 + 0 + 2\/7*x**z + 0*x**4.\nAnswer: 2*x*(x - 1)**2*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107731345, -215462697, -323194049, -430925401, -538656753, -646388105?\nAnswer: -754119457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(1 + -10). Suppose 5*f = d + 25, 0 = -4*f - d + 3*d + 26. Suppose f*c - t + 3 = 2*t, -2*c + 4 = 4*t. Sort c, o, -2 in descending order.\nAnswer: c, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 4*v**2 - 3*v - 11. Let c be a(5). Let h be 4\/54*(-5 + (c - 0)). Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 - -34.9999967. What is u rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 152*g + 148.\nAnswer: 4*(g + 1)*(g + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -2. Let x(l) = 10*l + 10. Let m be x(k). Suppose 0 = -i + 3 + 7. Calculate the highest common divisor of i and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence afa when three letters picked without replacement from {a: 2, f: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657848 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 3755, 12606, 29829, 58214, 100551, 159630, 238241?\nAnswer: 339174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023 (base 6) to base 10.\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*u = 2, u + 9 = 3*v - u. Suppose 4*n + 0*q - 10592 = v*q, 4*n - 2*q - 10580 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z = 195 + 325 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1647)\/135 + 8)*(-5)\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + (-34)\/(-8). Let z = -0.5 - -1.5. Let x = z - 0.6. Which is the biggest value? (a) i (b) x (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 4*p - 1. Let q be d(-2). Let a = 23 - -17. Let g = 202\/5 - a. Does g = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4867, 9493, 14119?\n\"Answer: 4626*r + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 0. Suppose 4*m + 6 = -22. Let r = 4 + m. Put z, r, 3 in increasing order.\nAnswer: r, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535144.8 litres to millilitres.\nAnswer: 535144800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b - 14. Let c(r) = -r**3 + r**2 - 4. Let n be c(0). Let h(a) = 2*a + 5. Give n*g(d) - 11*h(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x + 6. Let r be z(0). Let q = r + -5. Let u be (0 + q + -3)\/1. What is the third smallest value in u, 3\/5, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91227121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893 + 3*a + 799 + 66 - 183.\nAnswer: 3*a + 1575","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93765*v + v**2 - 93779*v + 187553*v + 198)*(0*v**2 - 6*v**2 + 4*v**2).\nAnswer: -2*v**4 - 18*v**3 - 396*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 11. Let a be s(-12). Let h be ((-1)\/(-3))\/(a\/12). Solve h = -2*j + 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 15, 13\/3, -14?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68643?\nAnswer: 3, 29, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67001, -65602, -64203?\n\"Answer: 1399*k - 68400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20) - 1565\/(-25). Let q = b + 55. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2745*y**3 - 2974*y.\nAnswer: -16470*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1201212011020 (base 3) to base 2.\nAnswer: 11100001001010111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f + 2. Let d(c) = -4*c - 3. Let v(z) = -2*d(z) - 3*u(z). Suppose 4*y - 15 = -p, -2*y + 16 = 2*p - y. Let w(n) = -p*n + 14*n + 9*n. What is v(w(i))?\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from {n: 6, k: 8, b: 1, m: 3}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75.8 - -71.8. Which is the fourth smallest value? (a) t (b) 1 (c) 0.1 (d) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 + p**3 - 305*p + 304*p + 2*p**4 - 2 + p**3 as o + c*p + n*p**3 + m*p**2 + k*p**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = -7*g - 18. Let w(t) = -6 + 35*t**2 + 75*t**3 - 73*t**g - 12 + 16*t. Give w(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + s)*(4 + 0 - 2) - 18*s - 12*s + s in the form u*s + b and give u.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2343.6 and 349134821.6.\nAnswer: 349137165.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z - 36*z = -247. Let y = z - 131. Does 34 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 1. Suppose 4*p + 2*p - 534 = 0. Let r be p + 3 + -5 + s. What is r rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 x, 1 e, and 1 f when four letters picked without replacement from {j: 3, x: 2, r: 4, f: 3, e: 4}.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 687 a factor of 22722147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 + t - 8. Calculate n(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c**5*i + 2*c**3*i**2 + 9*c**3 + 12*c**2*i**2 - 4*c**2 - i**2 wrt c.\nAnswer: 1020*c**2*i + 12*i**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 11*a**2 - 5*a + 88. Give g(-10).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-80676)\/(-1079) + -75 - 141\/234\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -141 + 147. Suppose 45 = -z*c + 11*c. What is the greatest common factor of c and 189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 8*s - 6. Let z(a) = a - 1. Give 4*r(c) - 28*z(c).\nAnswer: 4*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 6*o**2 + o - 4. Let c be m(6). List the prime factors of (42\/4 + -2)*c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1*sqrt(7) + -5.\nAnswer: -7 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 391, 442, 529, 670, 883?\nAnswer: 1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 11:19 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3349.44295287 - -75.\nAnswer: 3424.44295287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.55 minus 4309?\nAnswer: -4305.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77981970 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 168. Let v be (-8 - -10) + f\/(-2). Suppose 15 = 2*t - t. Calculate the greatest common factor of t and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2408*w = 2405*w - 15, 0 = 5*d - 9*w + 39 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -54495484*h - 14182079 wrt h?\nAnswer: -54495484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1207059, 2414345, 3621839, 4829535, 6037427, 7245509, 8453775?\nAnswer: 9662219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19a5c (base 15) in base 4?\nAnswer: -110112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 8*k + 13. Suppose 0 = 3*b - 3 + 12. Let f(p) = -2*p**2 - 15*p + 24. Let w(j) = b*f(j) + 5*o(j). What is w(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 3402?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7241 divided by 13\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 313 + -3?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 1383.54.\nAnswer: -138.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8718609?\nAnswer: 3, 41, 73, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 3:41 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1508867514 to the nearest integer?\nAnswer: 38844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390040 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1892\/895635 + -2\/1531. Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20788074 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49322 to three decimal places.\nAnswer: -0.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 155\/56, -381\/2, 0.4 in increasing order.\nAnswer: -381\/2, 0.4, 155\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -881011\nAnswer: 1321516.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 - (1 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*i*r**3 + 2*i + 173*r**3 - 1 wrt i.\nAnswer: -50*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*m = -33, -3*t + 16 = -2*t + 2*m. Suppose 2042 = 14*o - 11*o - u, 3406 = 5*o - 3*u. Suppose -t*k = -14*k - o. What are the prime factors of k?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)*-2*3 - sqrt(24) - sqrt(24)) + sqrt(24) - sqrt(24))\/(sqrt(12) + -2*sqrt(1728))*6 + -5.\nAnswer: -5 + 48*sqrt(2)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 12:26 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -541, 3, -130, 0, 16 in ascending order.\nAnswer: -541, -130, 0, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -129504919040881\/5168 + 425935912862\/17. Let g = 3947660 + j. Let l = g + 75\/19. Find the common denominator of 15\/2 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*u + 3*u - 2, 4*y - 8 = 5*u. Let i be 1 + (0 - (-4)\/y). Let d be 3\/12 + (-55)\/(-20). Is i smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 5*q**3 + 287*q**2 - 286*q**2 - 7*q**3 - 1. What is k(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -391*t + 402*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296*i - 292*i + 1 + 587*i.\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10) - (-3)\/6. Suppose 0 = 5*h - 36 + w. Let i = 30 - -19. Calculate the highest common factor of h and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 6*v + 6*v**2 - 3*v + 0*v. Let a(d) = 2*d**2 - 4*d. Let r(w) = 9*a(w) - 4*m(w). Let z(f) = f + 0*f + 0*f. Determine z(r(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 less than 1.117?\nAnswer: -2.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(60\/(-8))*33\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12169569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) - (-2)\/9. Let g be 3\/(-81)*-3 + 121\/693. Which is greater: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188978 - -1654781782.\nAnswer: 1654592804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/(-25)*-25*(-4)\/15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 63.537 and -46 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 + t + 3. Let x be f(0). Let d(r) = 14*r + 5. Let q(w) = -13*w - 5. Let o(z) = -4*d(z) - 5*q(z). Is 13 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-4 - -1)\/(6\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - i**3 - 7*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 12*q + 3*q + 3*q + 6*q + 12. Let d be h(-3). Let u = d - -62. Let a(o) = -5*o - 2. Let i(r) = 21*r + 9. Give u*i(z) + 9*a(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1464985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -831 and 0.063?\nAnswer: 831.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 10507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*o + 50 = 2*h, -13 = -h - 5*o. Let f be (-12)\/(-8)*h\/3. Let n be 132\/28 + 4\/f. Solve 1 = 6*q - n*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 8:29 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1157\/49848 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/13278032 and 73\/11618278?\nAnswer: 92946224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 11\/15*v**3 - 1\/50*v**5 - 22*v - 2\/15*v**4 - 6\/5*v**2 + 24. Let x(i) be the first derivative of s(i). Factor x(h).\nAnswer: -2*(h - 1)**2*(h + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (-20*1)\/2. Let v = 0 + 23. Solve -3*m - u = -v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 11 + 4*x - 19*x**2 - 5*x + 4 in the form b*x**2 + h + z*x and give b.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 147243914 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 + 0 + 0)*(o - o + o) + o**4 - o**3 + o**3 + (0 - 3 + 1)*(2*o**4 - 23*o**4 + 8*o**4) - o**4 + 0*o**4 + 2*o**4.\nAnswer: 26*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:52 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7099092539?\nAnswer: 7, 11, 73, 733, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/6*36\/(-1512)*-364.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.35 in -1\/2, -0.4, 2, -2, 0.07, -1.85?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -14 - -4 - (1 + -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7892 - -7892. What is the closest to 8\/5 in 0.5, -2, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, -1\/559, -5\/4?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 - 109.907. Let o = -3324684 + 3324684.09299844. Let f = o - v. Round f to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470022960 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 14*f. Let w(k) = -25*k**2. Determine w(c(p)).\nAnswer: -4900*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1782.8 - -3555.791. Let p = f + -1772. Let t = p + -1. What is t rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -89*p**3\/3 - 60*p**2 - 31*p - 2\/3 = 0?\nAnswer: -1, -2\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50, 2\/9, -2\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzz. Give prob of sequence gz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 20. Suppose -8*i - c*i = -4*i. Solve -5*a - 4*u - 1 = -7, a - 2*u - 4 = i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/3 (b) -2 (c) -121 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 10*w + 4*w + 2*w**2 + 0*w**2. Let x(d) = d**2 - 3*d. Give -6*s(f) + 14*x(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, -5, -4, -1025, 4 in ascending order.\nAnswer: -1025, -5, -4, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 2 (b) -3\/2 (c) 327.95\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -194*x**2 - x - 338. Let f(c) = 4*c**2. Determine u(f(t)).\nAnswer: -3104*t**4 - 4*t**2 - 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2152 and 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(896)\/sqrt(8)*1 - ((sqrt(448) + 1*sqrt(448))*1 + -4))*-2)**2*-2.\nAnswer: -44032 + 1792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d - 3. Give o(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 - 19*v + 57. Let n(f) = 4*f**2 - 9*f + 28. Let m(b) = 5*n(b) - 2*p(b). Suppose -37*a + 412 - 42 = 0. What is the units digit of m(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8*h = 3*h - 35, -4*p - h = -56. Let z = -11 + p. Solve g + 16 = -3*u, 0*g = 2*g - u + z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322686 a multiple of 315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*l*z - 131*a**3 - 26*a**2*l*z + a**2*l + 4*a**2 + 2*a*z wrt a.\nAnswer: -12*l*z - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let n(b) be the second derivative of b**4\/3 - 3*b. What is n(u(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 0*u**2 - 6*u + 0*u**2 - 7 - u**2. Let j be w(-5). Let m(k) = -2*k**3 + 4*k + 3. List the prime factors of m(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - 88. Suppose 8 = 7*c - 6. What is the least common multiple of c and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187347169 a multiple of 999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 7*w - 4. Is k(6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.3582 to 2 decimal places.\nAnswer: 4.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 912282 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 1 + 5 - 3 - 4*r. Let s be g(-3). Suppose 58 + 17 = 5*l. Solve 2*a - 4*a + f + 6 = 0, -a - s*f = l for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -705)*18\/27. Suppose 2*b - d = 2*i + 122, 2*b - 885 = 3*i. Let f = i - -874. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 765*r. Let z(o) = 1200*o. Calculate a(z(j)).\nAnswer: 918000*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(27) + (sqrt(108)*2 - sqrt(108)).\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -162, 3.\nAnswer: -162, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 73496387873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:09 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 2*c**2 + 9*c - 9. Is 65 a factor of g(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + 27*d + 93. Determine o(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23835.45394 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.422 + 2.422. What is the second smallest value in 0.1, -3, 1\/2, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 - (-1 + (-4 - (-18 + 19))).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11263574 (base 10) to base 6\nAnswer: -1041230102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 9. Which is the third smallest value? (a) d (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -333231 (base 4) in base 6?\nAnswer: -30513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 18 (b) 6 (c) 3 (d) 5 (e) 1\/17045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3889880 and 141165?\nAnswer: 35008920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmksmksq. What is prob of picking 1 k and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -799658, -1599314, -2398970, -3198626, -3998282?\nAnswer: -4797938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -556*z**4 + 2*z**2 - 88*z.\nAnswer: -13344*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 2. Let v(a) = 4*a - 10. Let o(w) = 14*t(w) + 3*v(w). Let g(k) = k**2 - 3*k - 3. Let x = -1 - 1. Give x*g(l) + 3*o(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56305 + -40152. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28166453 is divided by 4023776?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2470\/54247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -139*l**3 - 2*l**2 + 32443*l - 143041709.\nAnswer: -417*l**2 - 4*l + 32443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 788528149 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 2*d - 32 + 32.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -30351476.\nAnswer: 1\/15175738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -57*o + 29. Let v be -16*1 + 0\/4 - -4. List the prime factors of k(v).\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24838, 96934, 217092, 385312, 601594, 865938?\n\"Answer: 24031*h**2 + 3*h + 804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 36300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 8. Let j be q(-6). Suppose j*x = 4*x - 180. Calculate the greatest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17776 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 - (-5580)\/(-217))*7\/(-9).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33436690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 10:26 PM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 13*c - 3. Let u be c*2 - (-1 + -3). Let w = 97 - 55. Calculate the highest common factor of u and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 6\/(-3)) + -1. Suppose -7*a + 894 = 880. Solve -3*r - b = -a*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/76*5016\/(-264))\/(54\/1)*-3.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (sqrt(128) - (-1 + sqrt(128))**2) + -3 + (-1 + sqrt(162) + sqrt(162) - (sqrt(20) + sqrt(40)\/sqrt(2))\/sqrt(10))**2)*-5.\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 3 - 42 - 7 - 8 = -2*c, 10*c - 204 = 2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*a + 1922 = -267*a - 5*j, 0 = 4*j + 4. What is the greatest common divisor of 142 and a?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 10:32 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*f - 312 = 99 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5731 - 5728. Solve 8 = -x + f, -u*x - 10 = 2*x + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let c(g) = -1687*g. Give l(c(m)).\nAnswer: 1687*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8 (b) 10 (c) -10\/3 (d) 0.1 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -277, -273, -267, -259?\n\"Answer: m**2 + m - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -113101 (base 4) to base 6\nAnswer: -10521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/5 - 528*q\/5 + 69696\/5 = 0.\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8636754 or -8636743?\nAnswer: -8636754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {p: 2, t: 4, z: 1, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/4)\/(1\/(-16)). Suppose -2*f = -0*f - 10. Suppose 2*j - 147 = -p, f*p - p = 5*j - 348. Calculate the highest common factor of h and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-5) - 2\/(-5). Let v be j + 21 + (-1 - -3). Let s be (v\/15)\/(1\/5). Solve 4*g - 7 - s = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 - 86. Differentiate -9*q - 6 + 10 + 5 + i wrt q.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 24 = n + 4*m, n + 2*m - 3 = 0. Suppose 183 = 4*l - 5*d, d + 78 + n = 2*l. Suppose 5 = b, 5*q + 3*b + 7 - l = 0. Solve -4*p - 8 - q = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32982, -32987, -33004, -33039, -33098, -33187, -33312?\n\"Answer: -k**3 + 2*k - 32983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((748\/102)\/(2\/(-9)*-6))\/(12\/8).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -0.1 (c) 1\/2 (d) 474 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18237881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let g(q) be the third derivative of -7*q**4\/24 - 16*q**2. Give b(g(t)).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2\/3*k**3 - 1\/4*k**2 + 2 - 1\/2*k**4 + 0*k. Solve a(z) = 0 for z.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 32 = -6*w. Let h be 2*(0 + (-3)\/2). Sort -2, w, h in descending order.\nAnswer: -2, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 180 + 2*g**2 - 183 + 0*g**2. Let v(l) = 4*l**2 - 5. What is -6*v(o) + 10*y(o)?\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -343, -3138, -10759, -25618, -50127, -86698, -137743?\nAnswer: -205674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16331242 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 334363 or 334366?\nAnswer: 334363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(684) + 2.\nAnswer: -6*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, and 1 o when three letters picked without replacement from eessxxsxeexsoseeoee.\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/677, -2, 5, 4, -18\/13, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660062 is divided by 127.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f. Let y be m(-3). Let n = 10 - y. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174\/13 - -783\/26. Let q = i - 43. Factor -7\/4*f**4 - 4*f**3 - q*f + 0 - 11\/4*f**2.\nAnswer: -f*(f + 1)**2*(7*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -21213, -2, -5, -3.\nAnswer: -21213, -5, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 657*t - 94*t + 455*t + 55*t.\nAnswer: 1073*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.14, 34\/5, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -34 - 15*s**2 + 6*s**2 + 5*s**2 + 29 + 7*s. Suppose 75*p = 72*p + 9. Let c(j) = 3*j**2 - 6*j + 4. Determine p*c(i) + 2*o(i).\nAnswer: i**2 - 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 130 = 9*c. Let s = -71 + c. What are the prime factors of (1946\/21)\/((-4)\/s)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706381055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 288 and 1926576?\nAnswer: 3853152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 - 6*p + 6. Let n(m) = m**3 + 3*m**2 - 5*m - 11. Let g be n(-4). Calculate h(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3464\/9 or -384?\nAnswer: -384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-4)*(3 - (-125)\/(-15)). Solve 3*m = 7*m - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**3 - 49*v**2 - 15*v - 44. Let l(t) = 7*t**3 - 24*t**2 - 8*t - 24. What is 11*l(i) - 6*u(i)?\nAnswer: -7*i**3 + 30*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/480 and 23\/1728.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50934 - 2*l - 50917 - l)*(2*l**2 + 2*l**2 - 2*l**2).\nAnswer: -6*l**3 + 34*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(p**5 - p**2 + p**2) + (-3 + 3 + p**4)*(p - 2*p + 3*p) + 23*p - 29*p + 225*p**5 + 6*p.\nAnswer: 230*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 21*c - 15. Let x be o(21). What is the remainder when 0 + 9225\/20 + x\/12 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*m = 30 - 3, 0 = m - 1. Solve -4*w + g - u = 0, -3*w - 12 = 3*g - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 - 9*y**2 + 8*y + 3. Suppose -3*m + 40 = m + 4*l, 4*m - 44 = -2*l. Suppose -1 = 3*x + 3*p - 31, m = 3*p. What are the prime factors of z(x)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*10\/(-944)*288\/(-54).\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g - 1898 + 1966 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1908 and 6148.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -859544813\/299300 - -27\/74825. Let g = o - -2866. Find the common denominator of g and (-134)\/40 + (-85)\/25 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308104?\nAnswer: 2, 19, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114687.\nAnswer: 3, 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*(2 - 14). Let p be 4 + -7 + f\/(-2). What is the units digit of (51\/(-9))\/(2\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-41)\/(-779))\/((-61)\/61))\/((-2)\/1)\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6245 + -6245.002823. Round j to 4 dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-10)\/(-30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/40 + t**5\/15 + t**4\/6 + 2*t**3\/3 - 147*t**2. Let f(o) = 5*o**3 + 9*o**2 + 9*o + 9. Give -4*f(l) + 9*k(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-2)\/68). Let d = -29 + v. What is the lowest common multiple of d and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3*g + 30061 = 30037, 3*g = 4*d + 48 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 9*r - 4*r - r - 3*r + 3*r + 3*r - r - r - 5*r + 7 - 7 + (0 - 2 + 1)*(0*r + 4*r - 5*r).\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + c - 399 = -379, 4*c = o - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1432122 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116 + -114. Find the third derivative of 2*c**n - 5*c**2 + 4*c**4 - 15 + 7*c**2 - 3*c**3 + 10 wrt c.\nAnswer: 96*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 90 = -3*k, 5*a + 26*k - 22*k - 145 = 0. Suppose u + 2 = 2*u. Let x = 98 + u. Calculate the highest common factor of x and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 31, 57, 99, 163, 255, 381, 547?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1391947*a - 15*a**3 - 1391947*a - 4.\nAnswer: -15*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, y: 5, k: 7}. What is prob of picking 1 y and 3 k?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**2. Let s(q) = 12*q - 7*q - 7*q - 8*q. What is c(s(z))?\nAnswer: 200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4993316.3 rounded to the nearest 1000?\nAnswer: -4993000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4722 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-9 + 12 + 6)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 10\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1522839, -3045678, -4568517, -6091356?\n\"Answer: -1522839*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 7*n + 2*n)*(-1 + 2*n - 2 + 5)*(-4*n + 0*n + 3*n).\nAnswer: 14*n**3 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h + 28. Calculate n(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 13*k**2 + 0*k**4 - 11\/60*k**5 + 0*k**3 + 0 - 2\/105*k**7 + 0*k**6 + 0*k. Find the third derivative of w(y) wrt y.\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)\/s**2*s*(s\/(s\/s**(-1\/22)*s))\/s*(s\/(s*((s*s**5)\/s)\/s*s))\/s assuming s is positive.\nAnswer: s**(-397\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*f - 1341 = 3299 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 513 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/243 and 5\/513.\nAnswer: 4617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -959006.7*12\nAnswer: -11508080.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.338 or 807.4?\nAnswer: 0.338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 93e56 - d7?\nAnswer: 93d6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + x - 78 = 0, 0 = 4*u - 10*x + 7*x + 74. Let c(l) = l**3 + 20*l**2 + l + 45. What is c(u)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29449 + -117793\/4. Which is the closest to -1? (a) n (b) -2 (c) 104.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 3917837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/4))**47\/((j\/(j*j*j**5*j))\/(j\/(j**0*j))))\/(j**(-2\/11)*j*j**(-2)\/j)**35 assuming j is positive.\nAnswer: j**(5219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/2733 - 38935\/393552. Find the common denominator of h and -95\/216.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 1.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 954067 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 147555 (base 15) to base 8\nAnswer: 3607121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunn. What is prob of picking 1 n and 1 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.5 (b) -4\/7 (c) 7\/5 (d) 1 (e) 1\/11 (f) -524\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v\/(v*(v*v**(1\/15)*v)\/v*v)*v)\/v)**(17\/5))**0)**(-4))**(-2\/81) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -44534497.663 + -273\nAnswer: -44534770.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65185192 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/6)\/(14\/(-147)). Let i = l + 35. Suppose -4*s + i*s = 3*d - 254, 76 = d - 3*s. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 21\/2 of a second?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - -1. Let f = -30 + l. Let h be (18\/8)\/(0 + f). Which is greater: 0.08 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6)*3)\/(1042\/(-521)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.8 and -0.0751.\nAnswer: 0.51068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78657?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -95*z + 8. Let h(s) = 189*s - 19. Let v(u) = 7*c(u) + 3*h(u). Find the first derivative of v(p) wrt p.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36518.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 6*x**2 - 2*x - 8. Let g be z(-6). Suppose -4*w = 37 - 45. What is the greatest common factor of g and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x - x + (-1 + 1 - 2*x)*(-4 + 2 + 1) - 2 + 14*x + 2)*(0 - 1 - 1) to the form q*x + n and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a - 147 - 144 + 291.\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxbbxxbxxyyybxbxxbb.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117768 and 14.\nAnswer: 117768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -0.05\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1324, 1234, 1098, 910, 664?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 + 4*k + 3. Let v be g(-5). Let j = v - 8. Let a(l) = l**3 + l - 7. What is a(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h**2 + 676*h + 14. What is the tens digit of m(-33)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - 9) - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8*g + 29 = -5*g, -5*a - g = -23. Solve -5*l + 17 = 2*d, a*d + 4 = -12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -441 - -1b4?\nAnswer: -26b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1, -2 in increasing order.\nAnswer: -2, -1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 679364 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: Put 0, 1\/2, -1.9, 1, 6 in increasing order.\nAnswer: -1.9, 0, 1\/2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58 + -55. Suppose 0 = -b*j + 2*s + 18, -j + 2 + 4 = 2*s. Solve j*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*c - 293 = -107 + 390 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-10))**(1\/4)*(o**(17\/2))**(-16))**(-5\/11) assuming o is positive.\nAnswer: o**(1385\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + q = 3, 50*i - 48*i + 3*q = -7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43335 - 2?\nAnswer: -43341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -5*j**8\/168 + 2*j**5\/5 + 43*j**2. What is the third derivative of r(t) wrt t?\nAnswer: -600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 13*t**2 + 7. Let d = -26 - -13. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43460969 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -60*f**2 + 25. Let v(h) = -5*h**2 + 2. Let m(y) = -2*k(y) + 25*v(y). Let s(b) = 3*b. Calculate m(s(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*g + 178, g + 223 = 2*r + 6*g. Suppose -16*l = -r - 349. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 2*z**2 + 2*z + 2. Let x be v(-4). Suppose -l = -c - 0 + 1, 0 = 5*c - 4*l - 10. Suppose -h = -c*h + x. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c + 3. Let h(r) = -61*r - 24. Let w(a) = 67*a + 26. Let b(s) = 12*h(s) + 11*w(s). Calculate -4*b(o) - 5*l(o).\nAnswer: 5*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (380\/760)\/(117\/(-144)).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(200) - (sqrt(55) - sqrt(110)\/sqrt(2)*6))\/((sqrt(99) + (sqrt(99) - (sqrt(99) + -3*sqrt(99)*2)))\/(-4*(sqrt(9) + sqrt(81)))).\nAnswer: -416*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600) - ((sqrt(2600) - (sqrt(2600) + (2*sqrt(2600) + sqrt(2600))*-6) - sqrt(2600)) + sqrt(2600)))\/(-6*sqrt(10)\/(sqrt(35)\/sqrt(7))).\nAnswer: 85*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-15))\/((-2)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:58 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 - -51. Calculate the lowest common multiple of 33 and q.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 593 (b) -4 (c) 5 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4558?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/2 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 - t**2 + t + 1. Let d be b(-1). Let o(s) = 30*s**3 - s**2 + 2*s - 1. Let v be o(1). Let k = d + v. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 + 820*w**3 + 24517*w**2 + 88196*w + 84900.\nAnswer: -(w - 849)*(w + 2)**2*(w + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2. Let v(p) be the first derivative of -43*p**3\/3 + 212. Give v(x(k)).\nAnswer: -688*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*j + 438604 = 2580424. List the prime factors of j.\nAnswer: 2, 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 6 - (0 - -5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + 2*z**2 - 5*z - 3. Let p be i(-3). Suppose -p*o - 18 = -3*l, 3*l = -o + 8*l - 14. What is the third biggest value in -2, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -38, 5, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 4*c**2 - 8*c + 13. Let s be v(4). Let g be (-17 - s)*2270*-1. Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*3*6)\/(4*1*sqrt(1210) - sqrt(1210)).\nAnswer: 6*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 1 + 1)*(3*b + 2*b + 23*b + 1) + (-6*b + 2*b + 3*b)*(-3*b - 2*b + 2*b) to the form i + x*b + z*b**2 and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(-4 - 1\/1). Suppose 3*m + 15 = 3*c, -23 = 4*c + 3*m - 22. Solve c*p + g = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g + 30 = -285 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400) - (sqrt(1400) - -2*sqrt(1400)*-1)) + (sqrt(1400) - (-1*sqrt(1400) + sqrt(1400))*5))\/((-3*sqrt(80))\/sqrt(10) - 1*4*sqrt(8)).\nAnswer: -15*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -780*d + 771*d - 189 = 0 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 589351 divided by -1\nAnswer: -589351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((403\/(-8463))\/(1\/12))\/((-1)\/2).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -21*d**2 - 4*d + 7. Let q(n) = 19*n**2 + 3*n - 7. Give 4*q(c) + 3*s(c).\nAnswer: 13*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-nine fifths of a second?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-17*f - 15 + 15)*(0*f + f - 2*f) + 8*f**2 - f**2 - 2*f**2)*(-2*f**2 + f**2 + 2*f**2) to the form i*f**4 + g*f**2 + z*f**3 + j*f + w and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 10. Let n(i) = i**2 - 3*i - 8. Let u be n(6). Let t be x(u). Find the first derivative of -5 - 4*w + t*w + 1 + 3*w wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7664593501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 423160 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 11:54 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -32621\nAnswer: -32620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, d: 9}. What is prob of picking 3 d?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:44 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4354459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4563.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 n, and 1 v when four letters picked without replacement from {r: 7, k: 3, h: 1, q: 3, n: 2, v: 1}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*b = -75*b + 11548 + 65868. List the prime factors of b.\nAnswer: 9677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-681 - -694) + (-39 - -3) + -3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5442613374?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.5, 4, 6233?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 4. Let l = -24 - -15. Let f be k(l). Solve -f*v - v - v**3 + 4*v + 3*v**2 + 0*v = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*n**4 + 0*n - n**2 + 3\/2*n**3 + 0.\nAnswer: -n**2*(n - 2)*(n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - a - 1. Let i(b) = -13*b**2 - 8*b - 8. Let l(u) = -3*i(u) + 24*m(u). Let y(s) = 0*s**2 - 3*s**2 - 5*s**2 + s**2 + 4*s**2. Determine y(l(z)).\nAnswer: -675*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -68827, -68826, -68825, -68824?\n\"Answer: q - 68828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 592 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -11296\nAnswer: 508320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*f = -f - 1139, 1135 = 5*a + 5*f. Let n = a + -226. Solve 0 = 3*b - n - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026245 to four dps.\nAnswer: -0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20474*f - 15*f**2 - 20474*f.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -27, -1, -1\/8378, 0?\nAnswer: -1\/8378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: 2 + 20 + -12 + 3 + (0 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 242.659402 and -1768?\nAnswer: 2010.659402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**8\/120960 - z**7\/30240 - z**6\/2160 - z**5\/20 - 2*z**2. Let f(r) be the third derivative of w(r). Factor f(l).\nAnswer: (l - 2)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121697422?\nAnswer: 2, 7, 11, 83, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.542 + 0.042. Let a be 24\/27 - 4\/6. Sort a, 2, h in descending order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(3*k + 3*k - 5*k) + (-10*k + 18*k - 10*k + 1)*(102*k + 158*k - 71*k).\nAnswer: -377*k**2 + 189*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 132176691, 132176692, 132176693?\n\"Answer: k + 132176690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 - 4*z**2 - 4*z. Let u be 1 + (6 - 6) + 2. Let o(r) = -8*r**3 - 3*r**2 - 3*r. What is u*s(h) - 4*o(h)?\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1, 0, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.358 - 0.558. Which is the nearest to q? (a) -0.479 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*p**2 - 120 + 120 - p**2 - p**2 + 4*p**2 + 0*p**2 - p**2 + 3*p**2 + (3*p - 3*p - 2*p**2)*(3 - 3 + 2) + p + p**2 - p)*(-3*p + 4*p - 8*p).\nAnswer: 126*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530442 divided by 1786.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:54 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7575417kg to milligrams.\nAnswer: 757541.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1122, 1659, 2866, 5079, 8634, 13867, 21114?\n\"Answer: 56*u**3 - u**2 + 148*u + 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5144.23 - -5144.229709021. What is r rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3252*c**4 + 3*c**3 - 1255*c**2. Let w(f) = -6505*f**4 + 5*f**3 - 2510*f**2. Let r(n) = 5*l(n) - 3*w(n). Find the third derivative of r(g) wrt g.\nAnswer: 78120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 10*o**2 - 17*o - 15. Let b be h(-12). Let y = 10 - 6. Let p be (y\/(36\/3))\/((-3)\/b). Is p equal to 65\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**5 + a**5 - 3*a**5 + (4*a**2 - 3*a**2 - 3*a**2)*(-57 + 14*a**3 + 57) - 110*a**2 + 110*a**2 + 10*a**5.\nAnswer: -19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000056 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 6*w - 3 + 0. List the prime factors of k(6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -2*u**5\/5 - 7*u**3\/3 - 21*u - 161. Find the first derivative of a(t) wrt t.\nAnswer: -8*t**3 - 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/243*-9)\/((-2)\/(-45)*-6)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5173\/268 - 30\/67. Let f = -146843\/14 + 10496. Calculate the common denominator of i and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-12)*((z\/z**(2\/19))\/z)\/(z*z\/z**2)*(z**(-1\/3)\/z)**44*z**(1\/3)*z**(1\/12)\/z assuming z is positive.\nAnswer: z**(-4055\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -216390, -216375, -216358, -216339, -216318?\n\"Answer: s**2 + 12*s - 216403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 154 times 52\nAnswer: 8008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12817 + 12821. Which is the smallest value? (a) g (b) 0.21 (c) 0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2 - 17 = 0. Let f be m\/3 + -1 + 0. Let h be (0 + (-1)\/(-6))*(-13 - -12). Is h greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*d - 6 = 0, -2*z = -3*z + 4*d. Suppose 0*p + 5*b + 65 = z*p, 5*p + 3*b - 109 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + w - 8 = 6*w, 3*w + 7 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/1184251 and -13\/685619.\nAnswer: 13026761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 63046*b. Let q(r) = 14*r**2 - 9*r. Calculate n(q(i)).\nAnswer: 882644*i**2 - 567414*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n + n)*((n - 2 + 2)*(1 - 5 + 5) + 6*n - 2*n - 2*n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + o. Let s(f) = 13 - 6 + 2*f + 0*f**3 + 2*f - 9*f**2 - 2*f**3. Let v(n) = s(n) - 3*z(n). Determine v(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 562. Let z(l) = -l + 188. Give -6*k(p) - 17*z(p).\nAnswer: -p + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*a + 3*a + 4*a)*(9*a + 11*a - 2*a) in the form z*a**2 + i*a + m and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:04 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 1336*o - 1336*o - 2*o**2. Let i(f) be the second derivative of 0 + 0*f**3 + 2*f + 4\/3*f**4 + 0*f**2. Give p(i(l)).\nAnswer: -512*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2904670837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Let p = q - 0. Determine m so that m**5 - m - 2*m**5 - m + m + 2*m**p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 3*v + 6. Let p be t(0). Let n(g) = g - g + p*g - 7*g. Calculate n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 52 + 4\/(-3)*8\/(80\/45). Put -1, -16, t in descending order.\nAnswer: t, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**16)**(19\/2)\/(p*p**(-9\/5))**(-25) assuming p is positive.\nAnswer: p**(-325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h = 17*h + 6472. Let j = h - 307. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 + -32. Let j(x) = 37*x**2 + 2*x + 1. What is the remainder when j(b) is divided by (-13)\/(-3)*(3 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a**3*h**4 - 83*a**3*h - 10*a*h**4 wrt h?\nAnswer: 120*a**3*h**2 - 120*a*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476144 is divided by 1110?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*c**3 + 3 - 24034*c**2 + 24050*c**2 - 40*c**3 - 6*c to m*c**3 + a*c + t + f*c**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/12 - (-17)\/2. Is f equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*d - d - 106, 3*p + 3*d + 66 = 0. Let w = p - -41. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 0.69, 2, -2\/31, -0.5 in descending order.\nAnswer: 9, 2, 0.69, -2\/31, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50507, 2\/41, -0.13 in descending order.\nAnswer: 2\/41, -0.13, -50507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1659525 and 10150?\nAnswer: 3319050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 6*v = b + 24, 0 = 4*v + 5*b + 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096 times 0.06?\nAnswer: -0.00576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 37*s - 10*s - 10*s - 5*s - 13*s. Let q(h) be the first derivative of 7*h**3\/3 - 9. What is x(q(j))?\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11200 and 2065?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g + 613 = -36 - 179 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 252 = -14*r, -11842973*r - 120 = -11842977*r - 2*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 1. Let p(r) = 2*r**2 + 1. Let y be (0\/(-1))\/(-3 + 1). Suppose y = -5*m + 5. Let u = 23 + -22. What is m*j(o) + u*p(o)?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2. Let o(a) = -a + 1. Let d be 1\/(2 - 9\/3). Let b be o(d). Let z(x) = b*x - 2*x - 3*x. Give l(z(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-16)*8\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from btbxbbtxbbmbb. Give prob of picking 1 t, 1 b, and 1 m.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 2*(sqrt(125) + 3*sqrt(125) + sqrt(125) + sqrt(125)) + -4 + sqrt(125) + -1)**2 - (sqrt(125)*2*-6 + 5)*-5)*4 + 3.\nAnswer: -4000*sqrt(5) + 98203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7602 and 59549.\nAnswer: 357294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, d: 2, m: 4}. Give prob of picking 1 m and 2 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 139d (base 14) to base 8\nAnswer: 6617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64472849 is divided by 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*q + 4 = 0, 4*q + 7 = s - 1. Suppose 2*l + 9 = 5*l. Which is the second biggest value? (a) -0.3 (b) 0.5 (c) s (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89828 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 130, -2\/105, 3?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0607 times 522\nAnswer: -31.6854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12948453 and 517?\nAnswer: 142432983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27300*z**5 + 19*z**2 + 3178*z?\nAnswer: 1638000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -39 + 12. Let n be (-4 - h)*-1 + 1. Solve -q + 8 = -3*k, n*q + 4*k + 32 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(171))*2 + sqrt(171))**2*1 + -5.\nAnswer: -36*sqrt(19) + 1538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 411 + -409. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**2 + d. Let h be y(-1). List the prime factors of 43\/2 - h\/8.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6541 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4884712.\nAnswer: 2, 7, 17, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h + 1. Let s(f) = 230*f + 25. Let w(j) = -50*p(j) + 2*s(j). Let r(g) = 5*g + 5. What is r(w(b))?\nAnswer: 50*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 484783\/17 - 28535. Which is smaller: y or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, r: 8}. What is prob of picking 2 c and 1 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*k**2*s**2 + 12428447*k**2*s - 31*k - 2080207*s**2 wrt k?\nAnswer: 14*s**2 + 24856894*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 92*y**2 - 46*y + 107. What is g(-18)?\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -3, -5, 0, 2 in decreasing order.\nAnswer: 2, 0, -3, -5, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 10 = 3*q. Let n be 6\/(-15) + (-714)\/q. Suppose -n = -5*p + 49. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2 + 3*b - 2 = 0 for b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-12))\/(21\/(-28)). Sort 4, a, 2 in descending order.\nAnswer: 4, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9 - 5.5. Let v = -3.84 - d. Let o = v - 0.06. Which is the nearest to 2? (a) 3\/5 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422 - 435. Let p be (-45)\/6*q\/(325\/10). Solve -3*t = -3*x + p, 0 = 4*x - 2*x - 3*t - 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/66794 and 89\/1456.\nAnswer: 534352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 26*d**3 - d**2 - d + 1. Let x be h(1). Let b = 12 + x. Find the first derivative of 33 - 3*g**2 - b + 0*g**2 wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 102 = 2*w, 0*n + 5*n = -10. Is w a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**5\/330 + 18*r**2. Factor j(z).\nAnswer: -2*z**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25892 and -204.\nAnswer: 5281968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 + 1702?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - 72) + (39 - 33) + 12 + -8.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72 + 530. Let q = h - 599. Which is the second biggest value? (a) -0.3 (b) q (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, t: 7}. Give prob of sequence kkk.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21982 + 21983. Put -1, 0, q, -2, 12 in descending order.\nAnswer: 12, q, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1430134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2 - 105*c + 340 = 0.\nAnswer: 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from szszsssscizsicszzs.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4\/4 + 237*u**3\/4 - 183*u**2 + 123*u = 0.\nAnswer: -82, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (60 - 51 - 34)*(-32*s + 32*s + 8*s**2 + s**2 + 0*s**2 + s**2 + (s**2 + 4 - 4)*(0 - 1 + 0) + 0*s**2 - s**2 + 6*s**2) as c + u*s + p*s**2 and give p.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 8*r + 2*r - 39*r + 7*r.\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**4 + 39*a**3 + 54*a**2 - 480*a + 384 = 0. What is a?\nAnswer: -8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4430 (base 5) to base 16\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:38 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.49 (b) 3\/8 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (13 - 24) + -5 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-157380)\/(-688) + (-15)\/(-12). Calculate the highest common factor of y and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7\/(19 - 5))\/(10\/(-120)). Let p(z) = -z**3 + z**2 - z. Let o(g) = -15*g**3 + 6*g**2 - 6*g + 2. Calculate k*p(r) + o(r).\nAnswer: -9*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3373011.19 * -1.\nAnswer: 3373011.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 12*o - 5*o)*(3*o - 6*o + o)*(3 + 2 - 7).\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*b = 110*b - 5236 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 25. Which is greater: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 307, 703, 1323, 2281, 3691, 5667, 8323, 11773?\nAnswer: 16131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00611273062 to six dps.\nAnswer: 0.006113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -17. Let t be 10\/4*12\/k. Let o be -1 - (t + 2 + -5). What is the nearest to -0.1 in o, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -51. Let z = -30 + 50. What is the lowest common multiple of z and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q - 4. Let i be y(0). Let j be -5 + -85 + (i - -1). Let d = -650\/7 - j. What is the biggest value in 0.2, d, -0.9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - o**3 + 1 + (-3*o + 3*o + o**3)*(0 + 0 - 1 + (-2 - 1 + 1)*(-5 - 1 + 5) - 1 + 0 - 1 + 82 - 186 + 6) as h*o**2 + g*o**3 + k*o + q and give g.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 955 = -5*d, 2*w + 261 = -2*d - 113. Let t = w + 302. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6*3*-1. Let c = 2 - h. What is the lowest common multiple of 14\/4*(-160)\/(-280) and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 28*w**4 + 13 + (0 + 2*w**2 + 0)*(w - 3*w + 0*w)*(-7*w - 3*w - 5*w) to the form n*w**3 + t + q*w + f*w**2 + v*w**4 and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*p + 41036 - 461754 = 0, -7*q + 2*p = -1472577. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8973?\nAnswer: 3, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 + -187. Suppose 0*f + 5*f = 5. Which is the second biggest value? (a) f (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**5*w*w)\/w*w))**(-5\/9)*w\/(w\/w**11)*w**(-3))**13 assuming w is positive.\nAnswer: w**(442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*d**2 - 22*d**2 + 42*d**2 + 0*d - 2*d + 193 - 3*d**2 in the form c*d + n*d**2 + q and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, w: 2, h: 1, o: 1, j: 1, n: 2}. Give prob of picking 1 h, 1 j, and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2. Let o = 99 - 41. Let u = o - 56. Let l(w) = -2*w + 2*w + 2*w**u. Determine a(l(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8307554km?\nAnswer: 830755400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 3*i**2 - 6*i - 203. Give u(-6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180 = -458*z - 679 + 3537 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1157 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2501533 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 4*r + 0*r)*(6*r - 8*r + 8*r) + 4 - 10*r**2 - 4 + (16*r**2 + 7*r**2 - 7*r**2)*(5 - 1 - 3) as n + w*r**2 + b*r and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w - 209. Let f be r(34). Let u = 371\/3 - f. Let a = 2411\/6 - 386. Calculate the common denominator of a and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -944, -2, -5, 2 in ascending order.\nAnswer: -944, -9, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 PM and 12:21 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - 10) + 12 - 2 - 6 - (-7 - -50).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 17767\/2*b**3 + 114513\/4*b + 985\/2*b**4 - 15129\/2 + 25\/4*b**5 - 32210*b**2 = 0.\nAnswer: -41, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/32*-2*27\/(-45).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4 - 246*u**3 - 411*u**2 + 5700*u + 14400 = 0. What is u?\nAnswer: -80, -4, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2645.91 * 0.2.\nAnswer: 529.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**5 + 3*f**5 + f**5)*(22 + 58 + 96).\nAnswer: 528*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 18, 78, 178, 324?\n\"Answer: m**3 + 11*m**2 - 14*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -548 or -0.006181?\nAnswer: -0.006181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 657? (a) 2 (b) 1\/3 (c) 17 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - n - 2)*(375 + 136 - 74) + (2 + 0 - 1)*(-4*n - 3 + 3) as i*n + a and give i.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 2430 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a - 33. Let l(c) = -5*c + 32. Calculate -7*l(s) - 6*x(s).\nAnswer: -s - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 707816869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.0232.\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*w = 203 - 28 + 561 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -453148*19\nAnswer: -8609812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5925 divided by 5.\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 - 1490*d**3 - 160035*d**2 - 155540*d + 317060 = 0.\nAnswer: -83, -2, 1, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/3168*(-8)\/10.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 - -23.5. Round f to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j. Let s(h) = 3*h + 24. Let k(g) = 7*g + 44. Let z(c) = 6*k(c) - 11*s(c). Determine t(z(a)).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w**2 - 2*w**2)*(1 - 1 - 2*w)*(-4 - 1 + 48).\nAnswer: 172*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -355758528 + 5?\nAnswer: -355758523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 4914654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6368741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-192)*3*1*9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*w + 222*w = -585. Let d = w - -42. Let u = 3.4 - -0.6. Sort u, 0, d.\nAnswer: d, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -4*i**2 + 5*i - 4. Let b be c(-6). Suppose 8 = -3*o + b. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120416 (base 8) to base 12.\nAnswer: 1ba3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -s - 11, -5*x - s - 14 = 9. Let d(b) = -165*b + 135. Is 53 a factor of d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**2\/3 - 106*p\/3 - 44\/3 = 0.\nAnswer: -2\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-2\/17)*c*c*c**(-5))\/(c*c\/((c*c**0)\/c))**(-1\/8))**(12\/11) assuming c is positive.\nAnswer: c**(-333\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 8:48 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 415032 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmc when four letters picked without replacement from {m: 6, c: 4, o: 4}.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*-2) + 4 + 1*sqrt(3).\nAnswer: sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(52)*-5 + 0)**2 + ((sqrt(13) - 4*sqrt(13)) + 4 - sqrt(13))**2 + 4*sqrt(13) + -4.\nAnswer: -28*sqrt(13) + 32720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5\/5 - 134*l**4\/5 + 52*l**3.\nAnswer: 2*l**3*(l - 65)*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2 - 15*t**3 + 2 + 3*t**2 + 16*t**3. Let b be l(-3). Solve 3*j + 18 = -b*y, -3*y + 2 = -y - 4*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1021442 (base 5) to base 10.\nAnswer: -17122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/4 + (-8)\/(-32). Let r be d\/5 - (-1)\/5. Suppose a - 2*n - 27 = 2*n, 0 = 3*a - r*n - 41. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/4, -0.1, 5, 0 in ascending order.\nAnswer: -7\/4, -0.1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:21 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3787 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - 5*d**2)*(-4*d**2 + 6*d**2 + d**2) + 2*d**4 - d**4 - 2*d**4 + 0*d**4 + 0*d**4 - d**4.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 + 0 + (-2 - 3 + 3)*(-1 + 3 - 3))*(0*s**2 - 2*s**2 + s**2).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from ulvluuvzlvpmz.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/40 + 3*f**5\/20 - 8*f**3 - 7*f**2 - 3. Differentiate b(y) wrt y.\nAnswer: -9*y**2 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/23, 10\/9, -5?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1, -22\/13?\nAnswer: -22\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, k: 5, y: 3, e: 3}. Give prob of sequence feyk.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 - 5*j**2 + j**2)*(-j**2 + 2*j**2 + 0*j**2) + j - 267*j**2 + 2*j**4 - 180*j**2 - 14 + 444*j**2 as b*j**3 + v*j**4 + a + i*j + o*j**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 - s + 5. Let r be x(5). Suppose -3*z = g - 20, -5*z = -r*g + g - 28. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*g - d + 26, 4*g = -d - 34. Let c(q) be the first derivative of -3*q**2 + 49*q - 37. Let u be c(9). Put g, u, 3 in decreasing order.\nAnswer: 3, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 309 = -3*m. Let n = 218 + m. Suppose n = 3*v - 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12474*w**5 + 27*w**4 + 2*w**3 - 395848*w - 3.\nAnswer: -249480*w**3 + 324*w**2 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 3*q**2 + q - 2. Let l be j(-3). Suppose n + 3*c = 18, -c + 3 = -4*n + 10. Let p be 5*10\/75*n. Put p, 4, l in increasing order.\nAnswer: l, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -38*z**2. Let p(x) be the second derivative of x**3\/3 - 3*x. Give p(q(k)).\nAnswer: -76*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1001 divided by -70575.\nAnswer: 1001\/70575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+119.97\nAnswer: 119.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (0 + sqrt(1872) + sqrt(1872) - sqrt(1872)))*-6)**2.\nAnswer: 864*sqrt(13) + 67428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.046 - 1.154. Let t = -1\/1660 + 117881\/34860. Let a = 11\/3 - t. What is the closest to -0.2 in i, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 213881 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 11*b**2 + 9*b + 10. Let r be a(-10). Let q = -8 + r. Let i be (3\/(-4))\/((-1)\/16). Calculate the highest common divisor of i and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -3\/2 (c) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 407083331 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 56*u + 332. Is 10 a factor of k(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 44504, 178129, 400884, 712775, 1113808, 1603989, 2183324?\n\"Answer: b**3 + 44559*b**2 - 59*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 7) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = 4*o. Suppose -5*p - o*k = -2 - 10, -p = -4*k - 12. Suppose -3*q = -p - 35. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 + 49974.\nAnswer: 50009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10178 from 82.239.\nAnswer: -10095.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 17. Let a(g) = -g - 6. What is 11*a(y) + 4*b(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*p - 16*p - 79*p to the form v*p + h and give v.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50538 by 6.\nAnswer: -8423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n + 1. Let c(s) = 1773*s - 4. What is c(x) + 5*d(x)?\nAnswer: 1818*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2581\/11 + -2545\/11. Find the common denominator of 67\/33 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6196067*h**3 + 886*h**2 - 124*h - 7 wrt h.\nAnswer: 37176402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 6*d + 0*d**2 + 0*d**3 + 0 + 1\/48*d**4. Suppose r(o) = 0. What is o?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1725566886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03 - -0.27. Let i = 6153 - 6086. Which is the third smallest value? (a) i (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (25\/10)\/5*(-5 - -4). Which is the smallest value? (a) -14\/11 (b) 1\/3 (c) w (d) 0 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25531364*x**4 - 12586746*x**2 wrt x.\nAnswer: 612752736*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32009 is divided by 15628?\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 1\/4, -0.4, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -j - 10, -2*k + 0*j + 2*j = -14. Suppose 2*s - 135 = -k*u, -5*u = -10*u - 2*s + 229. Suppose 44*z + 111 = u*z. Is z greater than or equal to 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 6*q - 2*q)*(-68*q**2 - 86 + 52*q**2 + 14*q**2) to i + s*q**3 + v*q**2 + r*q and give r.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60938295 divided by -1107969.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -11879.29 to the nearest one hundred.\nAnswer: -11900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 54. Let q(z) be the first derivative of z**3\/3 + 7*z**2\/2 + 5*z + 1. Determine q(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230050.\nAnswer: 2, 5, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/2 + 7647*t**4 + 9791889*t**3 + 116746662*t**2 + 873787515*t\/2 + 485013675 = 0.\nAnswer: -2543, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3409\/4 + 853. Factor -3\/4*q**2 + 0*q + 3\/4*q**4 + k*q**3 + 0 - 3\/4*q**5.\nAnswer: -3*q**2*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*d - 3*p, 4*d - d - 2*p - 38 = 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 326*w**5 - 12*w**4 - 235*w**3 - 5447250*w**2?\nAnswer: 19560*w**2 - 288*w - 1410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 709 divided by -1918.\nAnswer: -709\/1918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 7. Let m be s(0). What is the third biggest value in 0.1, m, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 607*s**3 + 14*s**2 + 14*s + 1360. Let x(a) = -405*a**3 - 10*a**2 - 10*a - 907. Let y(l) = -5*o(l) - 7*x(l). Find the first derivative of y(m) wrt m.\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5*o + 0*o = 18, -p = -2*o + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000631169 rounded to 7 decimal places?\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3594 - -3565.93. Let o = y + 28. Let k = -0.070092 - o. What is k rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -84*w**5 - 114208*w**4 - 298736*w**3 - 266040*w**2 - 92284*w - 10856 = 0.\nAnswer: -1357, -1, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1107 (base 13) to base 7\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.64561 meters in kilometers?\nAnswer: 0.03364561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {h: 3, z: 1, p: 2, a: 1, x: 1, g: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2208742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16648 - -16752. Solve 32*c = 6*c + w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 + 6b76211?\nAnswer: 6b76218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27852967477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 11*f**2 - 22*f - 12. Let y be (-3)\/(0 - 2\/(-6)). What is the remainder when 45 is divided by w(y)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74 - -81) + -1 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1119\/2029 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2348038, 2347946, 2347778, 2347522, 2347166, 2346698, 2346106?\nAnswer: 2345378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1 - 7 - 17*p + 16*p - 1. Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.5285, 0.5.\nAnswer: -0.5285, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 27 + 17 + 12 - i as n + a*i and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -900*b**5 + 1680*b**4 + 2936*b**3 + 368*b**2 + 12*b = 0.\nAnswer: -1, -1\/15, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-176)\/58 + 3). Let i = 28 - c. Is 149 + 1 + -2 - i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17639 and 5394?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802094 take away -1217015?\nAnswer: 6019109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 2*a, -a - 3 = -6*o + 3*o. Differentiate -a*f**3 - 2 - f + f with respect to f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in eleven quarters of a microsecond?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - o + 1. Let m(c) = 12*c**2 + 4*c - 3. Let y(q) = -6*b(q) - m(q). Let x be y(3). Find the common denominator of -17\/12 and x\/2*(-18)\/(-378).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1844 + 1852. Let v = -0.11 + 1.11. Which is the third smallest value? (a) -3 (b) n (c) v (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 3:17 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 13. Let p = 252 + -147. Let d = -96 + p. Calculate u(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 4, y: 7}. Give prob of sequence py.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 - 12*j + 12. Let t(b) = -b**2 + 5*b - 5. Let u(r) = 5*l(r) + 12*t(r). Let h(d) be the third derivative of -d**4\/24 + 26*d**2. What is h(u(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/110 - 1724\/10. Calculate the common denominator of (0 + g\/(-60))*3 and 29\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.759382um?\nAnswer: 0.000000003759382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.056 + 49. Let l = -0.05693 - y. What is l rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1111 + -944. Is x > 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20140277867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 11:33 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 7*f + 3, 2972*f = 28*i + 2969*f - 28 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*i - 154*b = 313, -2*i - b + 9 = -0*i + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 4 in increasing order.\nAnswer: -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o**2 + 30*o**2 + 33*o**2 - 29*o**2 - 99*o**2 + 25*o**2.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3827 = 596*y - 172*y - 3381 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 281 - 6*g**2 - 286 - 3*g**6 + 10*g**6. Find the second derivative of n(t) wrt t.\nAnswer: 840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -11*z**2 - 5. Let x(r) = 10*r**2 + 4. Calculate 5*l(p) + 6*x(p).\nAnswer: 5*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14\/3)*w**(-10))\/((w**(-2)*w*w*w)\/w)**(-23\/4) assuming w is positive.\nAnswer: w**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*l + 52 = 4*f + 24*l, f + 5*l - 77 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 445925.\nAnswer: -3\/445925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jrrrrrjrrrjrrr. What is prob of sequence jjrr?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -9. Suppose -k - 4 = n, 4*n = -4*k + 2*n - l. Let v(w) = w**3 + 8*w**2 + 7*w + 6. Let c be v(k). 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: What is 41 minutes before 12:45 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*g**2 + 61*g**2 + 5 - 2*g - 5 - 136*g**2 - 2*g**3 as b*g**3 + r + l*g**2 + o*g and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -101 - ((-6)\/4)\/(75\/50). Let o = -98 - q. Solve -s + 5*h = 4*s, o*s = 4*h + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-252)*(2\/1)\/2. What is the nearest to -11 in 2\/3, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**2. Let d(c) = 13*c**2 - 9*c. Let s(q) = 3*q**2 - 2*q. Let z(w) = -2*d(w) + 9*s(w). Determine z(g(y)).\nAnswer: 25*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*h = -10, 4*h = 2 - 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from ganrl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.03, 0.4, 0, 0.9, 0.2, 1\/9 in decreasing order.\nAnswer: 0.9, 0.4, 0.2, 1\/9, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-3))\/((-3)\/39). Let l = 56 + k. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 80*c = -82*c - 187, -4*t = -4*c - 140. Let o be ((-8)\/(-6))\/(2\/(-33)). Let y = t + o. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 456, 1826, 4110, 7308, 11420?\n\"Answer: 457*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 67*d**6\/180 - 44*d**3\/3 + 39. Let j(x) be the third derivative of g(x). Let m(a) = 2*a**2. Determine m(j(v)).\nAnswer: 35912*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.122201cm in nanometers?\nAnswer: 61222010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*c + 232*c = 4*i - 5, 3 = -3*i - 3*c. Solve -5*s - h + 6 = 0, 0*h + 3*h = -i*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 198618?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 22415*b + 382500.\nAnswer: -5*(b - 17)*(b + 4500)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - (-3 + 8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2 - 3 - 2*m)*(1 + 1 - 1)*(4 - 3 + 0) - 389*m + 69*m - 403*m.\nAnswer: -725*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7 = -h. Suppose h*l - 4242 = -7*l. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of x**6\/60 - 3*x**5\/20 - 2*x**4\/3 + x + 152. Factor o(f).\nAnswer: f**2*(f - 8)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21917084 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -383a0 - 6?\nAnswer: -383a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (28 - -34) - -39\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7298*x**4 + 12*x**3 + 93*x + 5094426 wrt x.\nAnswer: 29192*x**3 + 36*x**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 13. Suppose u = l - 3. Let b = l + -2. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123107517?\nAnswer: 3, 13, 19, 79, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2645*q**2 + 2111*q**2 - 622*q**2.\nAnswer: 4134*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115842 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 1, -19 in descending order.\nAnswer: 82, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 154*f. Let k(c) = -5*c**2. What is o(k(b))?\nAnswer: -770*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-six fifths of a kilometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:18 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 497, 561, 639, 737, 861?\n\"Answer: i**3 + i**2 + 54*i + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1626 - 33. Suppose 198 = -15*i + d. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/9)*y*y*y**(-3))\/(((y\/y**(-1\/4))\/y)\/y)**3 assuming y is positive.\nAnswer: y**(49\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(2 - (-201)\/6). Let m = n + 102. Let i = m + -18. Solve 2*p + 0*l + 9 = 3*l, -5*l = -4*p - i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggggggggpggg. Give prob of sequence gp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*c = 2*d + 4*d - 5*d + 174, -59*c = -2*d + 5188 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 90 + 90)*(4*y - 5*y + 0*y + (-2 + 1 - 3)*(-5*y + y + 12*y)).\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*n + 15 = 0, 3*n - 3 = 4*n. Let a(i) = -i**3 + i**2 - i + 5. Let y be a(v). Solve y*r - 15 = -0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*h - n, 3*n = -7*h + 8 + 5. Suppose 0 = -4*x + 2*a + 16, 2*a - 5 = -4*x + 19. Let f(j) = 2*j. Let p(l) = -l. What is h*p(u) + x*f(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21227*j + 232. Is s(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159 and 12?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25886, -51786, -77686, -103586?\nAnswer: -129486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239205091, -478410185, -717615279, -956820373?\nAnswer: -1196025467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6154\/153 - 40)*6\/(-2)*-3. Find d, given that 0 + 4\/3*d**3 + 0*d - 2\/3*d**b - 2\/3*d**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1585*o - 1988. What are the prime factors of j(-6)?\nAnswer: 2, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -8*z**2 + 1008*z + 2224. Let q(a) = 7*a**2 - 1032*a - 2224. Let i(m) = 4*q(m) + 3*v(m). Factor i(n).\nAnswer: 4*(n - 278)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j + j)*(0 + 4 + 1)*(0 + 0 - 2*j**4).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 2. Let l(n) = n - 1. Let y(d) = a(d) - 2*l(d). Let b be 1*4\/(-1) - -1. Let g be y(b). Is g greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -738009*j**6 + 618958*j**2 - 2*j.\nAnswer: -88561080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112 - -121. What is the second derivative of -34*t**2 - t**2 - 39*t + q*t**2 wrt t?\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -0.5 (c) 27 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 184\/27 (b) -37 (c) -0.057 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1442910 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.5 + 1. Let w = 45791 + -45788. Sort -4, -3\/4, b, w in descending order.\nAnswer: w, b, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 3*j - 32, 0*h = h + 4*j - 11. Let q be h\/(-50) + (-4)\/(-8). Which is the fourth smallest value? (a) 1 (b) 2\/5 (c) -0.02 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 3124?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 12. Let q(a) = 0*a**3 + a**3 - 4*a**k + 1 + 2*a + a**2 - a. Determine q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11320 divided by 6360\nAnswer: 283\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 36730 - 13526 = 0. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnqnj. What is prob of sequence jq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-484)\/(-1089)*-6*2\/(-16).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(11) + -1)**2 + (1*sqrt(121))\/sqrt(11).\nAnswer: sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.1 - -24.9. Let h = z - 29.00000027. Round h to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 3 (c) 28283400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - w = -1, 21*s = 24*s + 5*w - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o - 5*c, 4*o + 2*c = 4*c + 18. Suppose 0 = -x + o*x. Find the third derivative of x*y**3 - 5*y**2 + 2*y**3 + 2*y**2 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50015 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.612 + -0.412. What is the third smallest value in 3, v, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -12, x - 2 = l - 1. Suppose -3*q - 2 = -x*q. Solve 3*c = -u - 8, -q*c = 2*c + 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = -5*h + 2*r - 19, -r - 1 = 0. Let a = -5\/7 - -6\/7. What is the third smallest value in -0.5, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -217 - 183. Suppose 0 = 37*l - 42*l + h. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1192741 divided by -319.\nAnswer: 3739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*r - 8. Suppose i = 4 + 6. Let n = i + r. Solve -1 = n*p - 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Suppose 4*g - 6*g + m = -7, -5*g - 3*m = -1. Suppose r = 5 - 3. Let u(p) = p**g + p**2 - p**r - 5*p**2. What is u(c(b))?\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/8 - 25*w**2\/8 - 11*w - 21\/2.\nAnswer: -(w + 2)**2*(w + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 523 + -839. Let f = m + 316. Solve 11 = 5*g - 4, -z + 5*g - 20 = f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-24) + (-1)\/(-4) + 17. What is the third derivative of m*b**4 + 36*b**2 - 8*b**3 - 16*b**4 + 6*b**3 wrt b?\nAnswer: 72*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799*(-388)\/(-1649)*(-3)\/6.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -556f (base 16) in base 4?\nAnswer: -11111233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -11348\/134585 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1925 divided by 385?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188443.\nAnswer: 188443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3517458473.\nAnswer: 53, 66367141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 10:08 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/12 - 2*d**4\/3 - 7*d**3\/2 + 12*d**2. Let j(y) = y**2 - 4*y - 5. Let t(p) = -18*j(p) + 4*z(p). Let t(f) = 0. What is f?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27802 - -47369. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 7. Let i be z(6). Suppose 15 = -4*h + i*h. Let q = 0 - -4. Solve -3*t = -h, 0 = j - 6*j + q*t - 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -827*h + 108 = -815*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 369 or 387?\nAnswer: 387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 313, 309, 295, 265, 213?\n\"Answer: -n**3 + n**2 + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*sqrt(252)*-2*3 + 3)*4*-4)**2.\nAnswer: -11943936*sqrt(7) + 3009954816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482284 is divided by 800?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51618331\/105 - 491611. Let t = l - -54\/7. Sort t, -5, 1\/2, 10 in decreasing order.\nAnswer: 10, 1\/2, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -7. Let p = z - -9. Suppose -m + 48 = f + 3*f, p*m - 256 = -4*f. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(121) + sqrt(121) + sqrt(121))\/sqrt(11) - (4*sqrt(11)*2 + -4))*2.\nAnswer: -16*sqrt(11) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1 + 7*u - 3 + 1. Let w(q) = -8*q - 6. Let c = 243 - 244. Let s be w(c). Give l(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 + 5839724*u\/7 + 834246.\nAnswer: 2*(u + 1)*(u + 2919861)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 9. Let o be l(7). Let a = -11 + 7. Sort a, 0, o in decreasing order.\nAnswer: o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 12:25 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.261252975 to 2 decimal places.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0*u**3 - 100*u**2 + 0 - 11\/3*u**4 + 0*u - 193\/60*u**5. Find the second derivative of j(w) wrt w.\nAnswer: -386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*z**4 + 181*z**2 + 231 wrt z?\nAnswer: -32*z**3 + 362*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32045804.\nAnswer: 2, 7, 23357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**3\/2 - 309086*k**2 - 19106954713*k\/2 - 3821341489 = 0.\nAnswer: -61817, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13491090 divided by 1723.\nAnswer: 7830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 14*t + 76. Let f be (-18)\/t*15\/24. What is the fourth smallest value in -3, 2\/3, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 6*y = 42, 589*a - 581*a + 2*y - 112 = -10*y for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3*h**2*u + 3*d**3*u**2 - 2*d**2*h + 2*d**2*u**2 + 2*d*h**2*u**2 + 39*h**2*u + 138*h*u wrt h.\nAnswer: -8*d**3*u + 4*d*u**2 + 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 0.3, 18.8, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -890, -2\/19, -762 in decreasing order.\nAnswer: -2\/19, -762, -890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.3554 years to millennia.\nAnswer: 0.0263554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116*m**4*p**2 - m**4*p + 2*m**3 - 1301*m**2*p**2 wrt m.\nAnswer: -2784*m*p**2 - 24*m*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = y + 8, -5*b - 72 = -0*y + 3*y - 52 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 156155973, 312311948, 468467923, 624623898, 780779873?\n\"Answer: 156155975*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r**2 + 2 + 1 - 39*r**2 + 2*r**2 + 84*r**2.\nAnswer: 85*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 16*a**3 + 3*a**2 - 54*a + 453. Is 25 a factor of q(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 3, -2, -9, 1 in descending order.\nAnswer: 4, 3, 1, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*s - 78, 3*s + 3*a + 62 - 2 = 0. Calculate the remainder when 40\/180 + (-770)\/s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 8*m + 12. Let g(a) = -a - 1. Let c(t) = -12*g(t) - i(t). Let d be 0 + (1 - (-20)\/(-16)*4 - -9). Give c(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + (1 + sqrt(432))*5 + 2 + -4 + -3*(0 + sqrt(432)*2 + sqrt(432))*-3 + 5.\nAnswer: 8 + 396*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 0. Let p = k - -3. Let l be 1*(-1)\/p*2. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27\/97 + 3281\/1455. Calculate the common denominator of -29\/15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1023\/283451 or -1?\nAnswer: -1023\/283451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/10)\/((-5)\/25). Solve j*a = -0*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.18406\nAnswer: 0.018406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 13*o**3 + 5*o**3)*(-6 + 14 + 8).\nAnswer: -96*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3) + (-38)\/(-6). Let h(c) = -9*c - 6. Let k(i) = -8*i - 5. Let x(a) = w*k(a) - 5*h(a). Let n(z) = -z. Calculate x(n(r)).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128749665 is divided by 1266?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + 0. Let j = -1.1 + h. Suppose 4*q - 5 = 7. Which is the closest to -1? (a) q (b) 4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -16. Solve -d + 2 = -2*r, 3*r + t*d = 3*d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198675576 divided by -5518766.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20538 and 143\/29340.\nAnswer: 205380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11104 divided by -133\nAnswer: 11104\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2. Let i(a) = 6*a + 33. Give i(z) + 5*x(z).\nAnswer: 6*z + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3220*q - 17851 = -53726 - 99365 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((10125\/6)\/9)\/((-2)\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 15) in base 3?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 1 + 3, 4*p - 421*s + 425*s = -24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 280539*b**3 - 126*b**2 + 8407336*b wrt b?\nAnswer: 1683234*b - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = -3*w + 29, -3*f - 15 = 0. Suppose -44 = -4*d - w*n, -5*n + 40 = 4*d - n. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 126*r - 538 + 389 + r**3 - 58*r - 2*r**4 + 2*r**2 - 61*r to v*r**2 + u*r**3 + s*r**4 + m + t*r and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -527204450*o**5*q**3 - 3527*o - 7*q**3 - 2517*q**2 wrt o?\nAnswer: -10544089000*o**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 2*h**2 + 6 - 1 + 6 + 7*h in the form r*h**2 + w*h + b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1\/(-1) - 17. Let w be 6\/4*r\/(-9). Let g = 21 + -19. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-94)\/(-10) + (-245)\/35. Let 3\/5*p**3 + l*p**2 + 0 + 9\/5*p = 0. Calculate p.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*x - x = -14224, 5*x = -3*o + 42658. Let h = o - 8835. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - 0. Let d = y + 3. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007816886026 to 5 decimal places.\nAnswer: -0.00782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463566 less than or equal to 1463566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1137 less than -5803?\nAnswer: -4666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 7*s - 4. Suppose 3*g - 4*g + 25 = -4*o, o = -4*g + 15. Let p be l(o). Suppose -p*k + 3 = 33. Put k, -2, 1 in ascending order.\nAnswer: k, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279703 = -15*d - 281023. Is -2760\/31 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 516336 and 74258.\nAnswer: 55247952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13499 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (3 + 0 - 2) - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596699 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-105))\/((-41583)\/2505).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(4617)*-1)\/(-1*sqrt(3)*-6)*-1.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 166943*x - 1001640.\nAnswer: -(x + 6)*(x + 333880)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11242 or 11238?\nAnswer: 11238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 242\/15*j**6 + 8\/3*j**3 + 3*j - 51 + 33*j**5 + 16*j**4 + 0*j**2. Factor w(y).\nAnswer: 4*y*(y + 1)*(11*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 = 3. Let i = 13 - 8. Suppose -4*a - 10 = -i*q - a, -h*a - 2 = -q. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {e: 4, p: 1, g: 1, q: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - c**2 - 2 + (2*c - c**2 - 2*c)*(2 + 0 - 5).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 + 4.9. Which is the closest to v? (a) -1\/4 (b) 1\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/75)\/((-8)\/(-170)). Let x = -5\/2 - n. Suppose -5*u + 3 = -5*m + m, 5*m + 10 = 0. Is x equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q**2 - 7*q + 4. Determine h(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, m: 1, e: 2, f: 1, g: 1, r: 1}. What is prob of sequence rug?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/4 of a kilogram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -105 + 323. Suppose c = 4*u - x, 0 = 4*u + 5*c - 78 - 128. Calculate the remainder when 269 is divided by u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 27*o + 159 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 39. Let u = 17 + m. Which is the second smallest value? (a) -4 (b) u (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11206*d + 29889. What is w(3)?\nAnswer: -3729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 329*b**3 - 25 - 171*b**3.\nAnswer: -500*b**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/2*6\/(-18). Which is the nearest to -0.2? (a) 4 (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4471)\/42762)\/(1\/69). Let v = -2\/49889 - q. Calculate the common denominator of v and (-3)\/(12\/(-38)) - (1 - -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 27641376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23677, -94691, -213047, -378745?\n\"Answer: -23671*d**2 - d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j = -23*j + 415 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 24*z = 420. Suppose -100 = -5*c - 5*y, 2*c + z = 7*c - 5*y. What is the remainder when 43 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - k + k - 7*k**2 + 3*k**2 + 2*k**2 + (k - k - k)*(-3 + k + 3))*(-58 + 26*k**2 + 58).\nAnswer: -104*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*j*m*n - 1231*j*m + 48*j*n + 18*m*p - m - 92*n*p wrt n?\nAnswer: 8*j*m + 48*j - 92*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3030031?\nAnswer: 3030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 2. Let z be d(4). Let n(g) = -159 - 8*g + 159. Let j(x) = -7*x. Determine z*n(m) - 7*j(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzzz when four letters picked without replacement from vvvvzvzvvvvvvvzvvvvz?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**5 + 31*p**3 + 87*p?\nAnswer: -40*p**3 + 186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 4. Let n(d) be the third derivative of d**5\/60 - d**4\/24 + d**3\/6 - 49*d**2. What is m(v) - 2*n(v)?\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 3.402.\nAnswer: 7.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1. Suppose g = w + 71, j*g + w - 73 = -g. Suppose 11*v - g = 9*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -33, -58, -101, -168, -265, -398?\n\"Answer: -x**3 - 6*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13930595 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172366 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + m**2 - m**2 + (4 + 0 - 6)*(98*m**2 + 23*m**2 - 15*m**2) to the form q*m**2 + b + o*m and give q.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 23 + 7. Calculate the remainder when 66 is divided by z\/1*24\/20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33 - 48. Let k be (-13)\/(-5) - (a\/15 + 5). Solve 7 = j - 5*w + k*w, 0 = -2*j - 5*w - 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109 by 8856.\nAnswer: 109\/8856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 179\/4800 and 167\/450?\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.4 and -0.227.\nAnswer: 1.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**5 - 10340*r**4 + 137*r**3 - 3069202*r**2 - 7?\nAnswer: -60*r**2 - 248160*r + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a3775 + 1?\nAnswer: a3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 257, 0 in decreasing order.\nAnswer: 257, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4812.447 nanometers to centimeters.\nAnswer: 0.0004812447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(-3)*s)\/s))**(16\/3)\/(s**(3\/13)*(s\/s**0)\/s) assuming s is positive.\nAnswer: s**(205\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*f + 49, -57 = 4*i + 2*f + 3*f. Let n(p) = -p**2 + 10*p + 2. Let k(v) = -v**2 + v. Let l(a) = -2*k(a) + n(a). What is the tens digit of l(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29695 + -29690. Solve 5*l - 2*o - r = -21, 3*l - 4*o + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*o + 24*o - 5 - 4*o.\nAnswer: 18*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 7*d - 8. Let y be j(5). Solve 0 = -p, -y*p + 6 = -2*r - p for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*u - 434815 = 0, -434893 = 16*z - 21*z + 8*u. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 12 = -u + s, -5*u - 5*s - 10 = 0. Suppose -353 - 7 = 4*t. Let h = t - -94. Solve -n = u - h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 202920602 and 340?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2669 and (-1140)\/(-612) - 10\/3.\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + (-10525)\/(-750))*(3 + 9) - 308\/(-5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 15 = 16*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 558521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-10)*((-276)\/291 + 1). Is v at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/5)*q\/((q\/(q\/(q**(-5\/7)\/q*q)))\/q)*q assuming q is positive.\nAnswer: q**(123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:05 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**3 - 9513*u**2 + 2435244*u + 1220000 = 0.\nAnswer: -5000, -1\/2, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10813365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -263.781 + -0.719. What is j rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 2.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (38\/2945*-31)\/(-2*(-7)\/(-60))\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 66, 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -1020\/11 (c) 5 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1290*v**2 + 2599*v**2 - 1 - 1307*v**2 + 25.\nAnswer: 2*v**2 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 c, and 1 w when four letters picked without replacement from hjcwczcchhw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 14?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*o = -9, 3*o + 10 = 3*z - o. Let w = 10 + -10.4. Which is the closest to z? (a) w (b) -1\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 733772+-9.2\nAnswer: 733762.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*q - 20, -6*q + 2*q = -3*n - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/2 (b) 3 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 9*a - 281 + 299 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1200) - sqrt(1200))\/(2*sqrt(64) + sqrt(64)).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/11 + 16*h\/11 - 18400\/11 = 0.\nAnswer: -100, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 6*i**2 - 6. Suppose -c - c + 17 = -3*j, 4*c = -j - 1. Let a be (-2)\/j + 84\/15. Let z(f) = -f**3 - 5*f**2 - 5. Calculate a*z(n) - 5*x(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218671 or 3?\nAnswer: -218671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/14 - 104\/(-208). What is the second biggest value in -1346, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1030*k*w - k - 25 wrt w.\nAnswer: 1030*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 3. Which is the closest to 0.1? (a) y (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00070162 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7071 - 3386 - 8632 = -185*q + 2741 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24204 + -767.8923.\nAnswer: 23436.1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82 + -81.59. Let y = o - -0.39. Let k = y + 1.2. What is the nearest to -0.2 in -1, k, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -576495 + -39?\nAnswer: -576534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnpnp. What is prob of sequence nnpn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1036\/2*((-74550)\/980 - -76).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 2:58 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 0 - sqrt(833))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -2*t - 28*d + 16, -12*d = -2*t - 11*d - 13 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from sssn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17860260429 rounded to the nearest 1000000?\nAnswer: 17860000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365107347?\nAnswer: 3, 11, 71, 127, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8482, 2, -1\/3 in descending order.\nAnswer: 2, -1\/3, -0.8482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/(b*b\/(b*b\/(b**5\/b))*b)*b**(-4)\/(b*b**3))\/((b\/((b\/(b*b**(-2\/3)\/b*b))\/b*b))**25*(b*(b*b*b**(2\/5))\/b*b)**(-11)) assuming b is positive.\nAnswer: b**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/13 + 41686*y**4\/13 - 217361182*y**3\/13 + 1520111234*y**2\/13 - 3256416768*y\/13 + 1953625032\/13 = 0. Calculate y.\nAnswer: 1, 3, 10418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-1)*(-15)\/(-9). Let v = 31 - c. Determine h so that 14*h**2 + 21*h**3 - 14*h**2 + v*h**2 + 9*h - 6 = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*u**4 - 22390*u - 3824*u**5 + 3*u**4 + 39679*u - 24704*u wrt u?\nAnswer: -76480*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4311904 and 9549.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d + 4*d, 3 = 2*s + 5*d. Suppose -s*l + 1581 = 3*g + l, 2*l - 2654 = -5*g. Does 4 divide g\/42 + 2\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 444, -108, 3 in ascending order.\nAnswer: -108, 0, 3, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 4025798000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -10. Let k(g) = -2*g**2 + 7*g + 2. Let m be k(5). Let i = 11 + m. What is the second biggest value in s, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (757*g**2 - 888*g**2 + 473*g**2)*(2 + 1 - 4 + (-4 + 0 + 2)*(-3 + 4 + 0)).\nAnswer: -1026*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4416916, 8833835, 13250756, 17667679, 22084604?\nAnswer: 26501531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47.923 - -15.347. Let k = n - 63. What is k rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -430 + 668. Suppose -z + 3*z - o = 0. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/45)\/a*a*a)\/a**(-2\/61)*(a**16)**(-46))**41 assuming a is positive.\nAnswer: a**(-82721887\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-1 - -3))\/((-4)\/(-172)). Let a = w + 16. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176 by -44.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 19 = 125 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1542, -14, -4, 2, 3, -3 in ascending order.\nAnswer: -14, -4, -3, 2, 3, 1542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1440, -1421, -1402, -1383, -1364, -1345?\n\"Answer: 19*y - 1459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a. Let r(k) = -1088*k. What is r(i(f))?\nAnswer: 1088*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2. Let k(z) = -180*z + 180*z - 257*z**2 + 143*z**2. Give y(k(d)).\nAnswer: -64980*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 0.089923783108.\nAnswer: 9.089923783108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3127 - 1825. What are the prime factors of x?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 1:15 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39374838 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 352\/(-48) - 4\/6. Let y(j) = 81*j**2 + j. Let b be y(3). Let w be b\/(-16) - (-2)\/q. What is w rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5\/7 - 77288*d**4\/7 + 462096*d**3\/7 + 28735648*d**2\/7 + 126732160*d\/7 - 370867200\/7 = 0. What is d?\nAnswer: -10, 2, 24, 19316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 3 - 2 + 0 + 2*b + 2 - 2 + (-b - 2*b + 4*b)*(-3 - 2 + 7) in the form f + m*b and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*i - 1631 - 3074 = 6879. Calculate the greatest common divisor of i and 3592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82777853?\nAnswer: 82777853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29405 - 5415.0565?\nAnswer: -5415.35055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0539 in 3, -4, -98, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9087552 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*(48\/8)\/12.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 12) in base 3?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 20435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004165 rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/5 + -1 + 3. Let c(v) = 9*v**2 - 11*v - 7. Is c(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1171, -1169, -1167, -1165, -1163, -1161?\n\"Answer: 2*s - 1173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r - 51. Let a(h) = -h + 24. Let c(y) = 13*a(y) + 6*k(y). What is c(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 + -2?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 32 = 3*z, -q - q = 5*z - 44. Let x = -7 + 15. What is the highest common divisor of z and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10297 * -0.0065\nAnswer: -66.9305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 292.9 + -272. Let l = k - 2.9. Let d = -17.99999948 + l. Round d to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5618*z**3 + 269240*z**2 + 20344*z + 384 = 0.\nAnswer: -2\/53, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.4 + 0.4. Let r(j) = -j**2 + 8*j - 2. Let o be r(7). Suppose -2 - 3 = -o*u. Which is the second smallest value? (a) 2\/5 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**5 + 244*w**4 + 82144*w**3 - 976*w**2 - 328512*w = 0 for w.\nAnswer: -116, -2, 0, 2, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*i - 48, -3*s + 4*s + 27 = -4*i. Let d(t) = -47277 - 47273 + 94547 - t - t. Determine d(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1431304, 2862591, 4293862, 5725111, 7156332, 8587519, 10018666?\nAnswer: 11449767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 3*v**4\/8 + v**3 - 42*v**2 - 288*v + 2731. Factor z(k).\nAnswer: 3*(k - 8)*(k + 4)*(k + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 312 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5 - 10 + 11 - 258*t**2 + 4. Let r(b) = -b. Give o(r(y)).\nAnswer: -258*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6 = 6. Let b be 10\/z*20\/25. List the prime factors of 7 + (b - 1)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-216)\/3024 + (-197)\/(-14). Solve -4*g - 2*s - f = 0, 4*g + 13 - 8 = -5*s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407675 is divided by 212.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 2 - 35 - 3*g**3 + 654*g - 654*g + g**2.\nAnswer: -3*g**3 + g**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35 and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 + 0.1. Let r be (-8)\/27*(-3)\/(-4). What is the nearest to -0.1 in r, -1\/6, v?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7a5a4b (base 13) to base 6\nAnswer: 142033515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5*z - 1457964. Let t(g) = 2*g**2. Determine p(t(y)).\nAnswer: 10*y**2 - 1457964","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0174 - 0.2324. Let w = b + 0.307. Round w to three dps.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(50\/(-15) - 4). Differentiate -13 - o**3 - 20*o**3 + s wrt o.\nAnswer: -63*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y\/(y\/(y*y**(2\/7))*y*y)))))\/y**29 assuming y is positive.\nAnswer: y**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 3*s**4 + 2*s**3 + (209 - 209 - 8*s**2)*(-9*s**2 - 7*s**2 + 6*s**2) in the form i*s**3 + v*s**4 + y*s**2 + b + x*s and give v.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**12*k*k**(-4\/5)*(k**3)**(-2\/17))**15 assuming k is positive.\nAnswer: k**(-2844\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (43 + -42) - 3.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*p + 2*q + 54, -2*q = 0. Let w = p - 19. Differentiate -6*o + 11*o - 6 - w*o wrt o.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 19 - (-5 - 1) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 34, 45, 56?\n\"Answer: 11*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j + 23. Let k be -4 - 4 - (5 + -3). Let n be p(k). Solve 0 = -n*l - 7 - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19664 and 24.\nAnswer: 58992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 11:54 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a hour?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -223 and -6490\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 59 = -5*k. Let c = k + 20. Let l = -21\/2 - c. What is the second smallest value in 4, -4\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1026 a factor of 9940914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191739\/2491 - -18685\/282. Let q = 58243 + -3086537\/53. Let d = f - q. What is the common denominator of d and -13\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -5 (c) -3\/5 (d) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.10300729 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496 + 238 = -14*h + 652. Calculate the greatest common factor of h and 1261.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ec0 (base 15) in base 13?\nAnswer: -1692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28762 + 29219 + 8*c - 86734 + 28753.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 5*b + 91495, -95*b + 96*b = -3*v + 54889. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/12)\/(10\/(-35))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**2*a*a)**(1\/3)*(a\/(a*a*a**(1\/14))*a)\/(((a**(-12)*a)\/a*a*a)\/a) assuming a is positive.\nAnswer: a**(557\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(-4 + -5). Let h = f - -12. Let r(a) = 4*a**2 + 3*a. Calculate the smallest common multiple of h and r(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 k when three letters picked without replacement from {u: 4, k: 1, g: 1, o: 2, c: 3, p: 1}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -82 + (12 + (9 - 11) - 9).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11380545 - 11.3020831.\nAnswer: 11380533.6979169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by -565399?\nAnswer: 255\/565399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101438, -101207, -100580, -99359, -97346, -94343, -90152?\nAnswer: -84575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*f**5 + 28*f**4 + 17*f**2 + 2514973*f + 2.\nAnswer: 140*f**3 + 336*f**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -623*j**4\/4 + 2676*j**2 - 2951*j. Differentiate l(u) wrt u.\nAnswer: -3738*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 2*y - 10*y + 9*y - 9 - 17. Let h(s) = -2*s**2. Give w(h(v)).\nAnswer: 6*v**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*o = 8, -a + 36 = a + 5*o. Let s(q) = 82*q + 93. What is the remainder when s(-1) is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 less than 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 2573, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 - -51 - (4 + -4)) + -22.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 38 = -62. Suppose -b = 4*b - r. Let y(w) = -w**3 + 3 + 3*w - 1 + 3*w**2 - 1. Give y(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7145759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80100.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324800891?\nAnswer: 324800891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 24 - 25 = 0. Let z be (-80)\/(-129) + 2\/(-3). Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151401491.\nAnswer: 503, 300997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 11 = s, -s - 11 = -2*s + u. What is the smallest common multiple of s and -1*-3*(-5)\/(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*g - 25 = 0, -3*h = -5*h - 3*g + 25. Suppose -m - 3*n - n = -257, -5*m = h*n - 1315. What are the prime factors of m?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -125, -124, -123, -122, -121, -120?\n\"Answer: o - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, -0.3, 0.2, -0.236 in decreasing order.\nAnswer: 0.2, -0.236, -0.3, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26681478, -53363001, -80044524, -106726047, -133407570, -160089093?\nAnswer: -186770616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q - 654 - 1086 - 2388 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.417 rounded to one decimal place?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13273931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (2 - (11 - (20 - 10)) - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o. Let x(a) be the first derivative of 4*a**4\/3 + a**3\/6 + 16*a - 49. Let i(c) be the first derivative of x(c). Calculate v(i(f)).\nAnswer: -48*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f + 2*f - 905*f**2 + 908*f**2 - 7. Let s(j) = -2 + 2 + 4*j + 5 - 2*j**2. Suppose -5*h + 3*l = 29, -h - 3*l = 2*l + 17. Determine h*s(q) - 5*g(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 5222358916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 251.\nAnswer: -4\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3 - 1. Let f = 3 + 0. Let b be 3*(y + 13\/f). Calculate the greatest common divisor of 64 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*u**2 + 1784550279*u - 1784550279*u.\nAnswer: -234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*h + 3*h = 105, 3*v + 70 = -h. Let t = 48 + v. Calculate the remainder when t is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*z + 19*z + 0*z - 2*z**2 + 2 in the form p*z + g + m*z**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/17 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -884*j**3\/3 - 983*j**2\/2 - 841*j. What is the derivative of f(p) wrt p?\nAnswer: -1768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121121 - -201200?\nAnswer: -11212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 834985129 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978885.259 rounded to the nearest 1000?\nAnswer: 3979000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/25*(-45)\/(-2). Let h = 22 + r. Solve -y = h*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*-30)\/(-3) + 0. Suppose a*z - 7*z = 3*p + 513, -4*z + 692 = -2*p. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 1. Let r(l) = 3*l - 4. Let c(n) = -3*n + 4. Let d(t) = 5*c(t) + 4*r(t). Let a be d(5). Calculate the remainder when f(a) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ac730b - -6?\nAnswer: -1ac7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-14))\/((-684)\/1197))\/(2\/44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 12 - 3*w**3 + 2*w**4 - w - 7*w**4 in the form n*w**3 + y*w**4 + i*w + l*w**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5721799 + 3698205 = -2*m + q, 3*m = 3*q - 14130012. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(176) + 0)) + (sqrt(11) - ((2*sqrt(22))\/sqrt(2) - sqrt(11)))**2.\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - -2 - (-1 - 13). Let v = -76 - -151. Calculate the highest common factor of v and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 33*l**2 - 87*l - 102. Let a be j(30). Suppose -s + 1 = -2. Sort s, a, 5.\nAnswer: a, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 4500?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2 + 3063216*o - 781941021888 = 0.\nAnswer: 510536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3130*o**2 - 6126*o. What is m(-2)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 - -179\/3. Let u(p) = 3 + 0*p + 5 + p. Let k be u(-7). Which is smaller: k or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 50*w + 94. Let x be h(-34). Let m = -444 - x. Solve -3*a - m - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110101011100001001110111 - 10?\nAnswer: 110101011100001001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/12)\/(3\/(-36)). Suppose -8 = -x*z - z. Let r(k) = z*k + 22*k - 92 + 92. Let f(g) = -2*g. Give f(r(s)).\nAnswer: -48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1918*l + 1916*l = -4*w - 50, -w + 55 = 4*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**7\/630 - 43*s**4\/12 + 6*s - 3. Let j(u) be the third derivative of b(u). Let z(g) = 8*g. Give j(z(d)).\nAnswer: -256*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i = -20*i - 105 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*d - 19 + 19 + 1 + 5 - 2 + 2*d + 0*d - d + 3*d + (2 + d - 2)*(-2 + 1 + 2) - 3*d + 3*d - 2*d.\nAnswer: -25*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -330\/23, -26.5, -0.1 in descending order.\nAnswer: -0.1, -330\/23, -26.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1391, 2682, 4011, 5378, 6783, 8226, 9707?\nAnswer: 11226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 2*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -12.8. Put g, 2\/5, -6 in descending order.\nAnswer: 2\/5, g, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 3ea?\nAnswer: 3e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/2*13\/26*27232\/(-1840)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (4440\/21)\/(6\/105) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6 = -4*v - x, 0 = 2*v + 4*x - 14. Suppose 2*g + v = g. Let k = 7\/32 - 29\/96. Put g, -0.4, k, 1\/2 in descending order.\nAnswer: 1\/2, k, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 n when two letters picked without replacement from qnxnqqi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - -24. What is the tens digit of (-1)\/(v\/(-14) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 26. Let b be g(-21). Put -3, -5, b in ascending order.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:24 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7 and 160.992?\nAnswer: 161.692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(168)*5 + sqrt(168)*2*6)\/(2*sqrt(216) - sqrt(216) - (3*sqrt(12)\/sqrt(2) - sqrt(6))))**2*1.\nAnswer: 847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 32*j + 93. Let n(u) = 3*u**2 + 99*u + 280. Let z(b) = -7*f(b) + 2*n(b). Let h be z(-22). Sort h, 4, -4 in decreasing order.\nAnswer: 4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1616 - 77.1616. Let v(w) = 2*w**2 - 2*w + 1. Let q be v(1). Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80260 divided by -22.\nAnswer: 40130\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4380 by 438.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 14*s = -3*t + 16, -2*s + 16 = 6*t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**4\/6 + k**2\/3 + 16. Determine p so that s(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 73*y - 2597. Calculate c(20).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d - 1?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1920703 and 365.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1881903 = -5*w + 4618097. What is w rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78*d**3*t**3*z + 7*d**3*t**2*z**2 - 2*d**2*t*z**2 - 9*d**2*z**2 - 4*t**3*z**2 wrt d.\nAnswer: -468*t**3*z + 42*t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1605 + 2102. Calculate the remainder when n is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -1\/105*r**7 + 0 + 0*r**6 - 1\/60*r**5 + 0*r**4 + 0*r + 5*r**2 + 0*r**3. What is the third derivative of h(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16820, -33670, -50524, -67382, -84244, -101110, -117980?\n\"Answer: -2*u**2 - 16844*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w - 8. Let o be p(-5). Let t be 2*6*o\/12. Which is the third biggest value? (a) -1 (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from cjjcjjgcjcjjcjccjjjj?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 5*c + 71. Let t be x(13). Let v(g) = -g**2 - 33*g + 11. Let b be v(t). Let p(o) = o**2 - 10*o - 5. Determine p(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101179, 202382, 303623, 404908, 506243?\nAnswer: 607634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2535, 6 in decreasing order.\nAnswer: 6, -5, -2535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6307, 50086, 168923, 400348, 781891, 1351082, 2145451, 3202528?\nAnswer: 4559843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76369 is divided by 1212.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/(f**(1\/5)*f*f*f))\/((f*f\/((f\/(f**(-1\/8)\/f*f))\/f*f))\/f*f*f*f**(-3\/2)) assuming f is positive.\nAnswer: f**(-183\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(1 + 2*a - 1).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-410.\nAnswer: 2460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3481.722 less than 44693.177?\nAnswer: 48174.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 47 + 56 = 0. Suppose -11*f = n*f - 400. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 19*s**2 + 11*s - 7. Let m(w) = 6*w - 23. Let y be m(5). Let l be h(y). What is the highest common factor of 112 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-12 - -12) - 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57311.2 weeks to seconds.\nAnswer: 34661813760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 13 - (15 + -19)) + 4\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)\/n)**(1\/9)*(n\/n**3)\/(((n*((n**(-12)\/n)\/n)\/n)\/n)\/n*n))**(5\/6) assuming n is positive.\nAnswer: n**(95\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 112, 589, 1434, 2647, 4228, 6177?\n\"Answer: 184*u**2 - 75*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(32\/(-106)))\/(51\/204).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8701330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 827293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 1261?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 3. Let p(a) = -4*a**2 + 2. Let g(t) = 3*p(t) + 2*v(t). Let z(d) = -45*d**2. Give z(g(f)).\nAnswer: -180*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.648153km to millimeters.\nAnswer: 8648153","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-m**3 - 2 + 2) + m**3 + m**2 + 2*m**2 - 7*m**2 + 2 as h*m**2 + q + y*m**3 + k*m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.5. Let n be ((-3)\/(-12))\/(10\/8). Let k = 241 + -242. Which is the nearest to x? (a) n (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 785327290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 20. Suppose 2*d - 2*m - l = 2*m, -14 = 3*d + 5*m. What is the third smallest value in -4, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1\/2, -2\/15, -3, -1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 10*j + 9. Let w be k(-7). Is -14 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*v = 5, -2*v - 14 = -2*f - 4*v. Let n be (-2)\/(f - -2) - 648\/(-16). Solve 5*x + 45 = -4*q, 3*x + x + 4*q = -n for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)\/s**(-9\/2) assuming s is positive.\nAnswer: s**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 1 - 1) + (-15 - -93). What is the highest common factor of 135 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 13*y + 16 - 2*y. Suppose 21*n = 17*n + 28. Let c(j) = 3*j + 5. Determine n*c(g) - 2*k(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495\/(-90)*(-300)\/(-40150).\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p + 16 = 0. Let v(t) = 4*t**3 - 5*t**2 - 10*t + 15. Let u(r) = -r**3 + 2*r**2 + 3*r - 5. Let m(j) = -7*u(j) - 2*v(j). What is m(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210*t - 2625750 - 3466560 = 0. What are the prime factors of t?\nAnswer: 67, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**3 - 6*m**2 + 6*m. Let k(j) = 5*j**2 - 4*j**3 - 12*j + 7*j - 2*j**3. Suppose -14*g - 30 = -9*g. Give g*k(q) - 5*b(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 21*g = -138. What is the common denominator of -5 - -2 - g\/(-51) and 13\/10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w. Let n(f) = -5*f - 1. Let v(y) = 4*j(y) - n(y). Let t(i) = i**2 - 3*i - 5. Let q(b) = t(b) - v(b). Give q(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 6) + 1 + (51 - 51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, 1 d, and 1 h when four letters picked without replacement from jedkhudj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**9\/1512 - v**5\/30 - 5*v**4\/12 - 9*v. Let b(d) be the third derivative of i(d). What is the derivative of b(p) wrt p?\nAnswer: 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3653379255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-162)\/14 - 39\/91. Let v(z) = z**2 + 5*z - 2. Does 10 divide v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -30*z**3 - 10*z**2 + 10*z. Let f(l) be the second derivative of -l**5\/2 - l**4\/4 + l**3\/2 + 248*l. What is 20*f(i) - 6*q(i)?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -316 or -3\/1205?\nAnswer: -316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.04 - 3. Let v = d + -2.04. Let n = v - -3. Which is the third biggest value? (a) n (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 3:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1853 (b) -0.1 (c) 0.5 (d) 0 (e) -2\/17 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -33\/2197?\nAnswer: -33\/2197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 38418*b + 128. Let r be q(-14). Let z = -361724 - r. What is z rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 26. Suppose 0 = -4*g - 2*o - w*o - 4, -2*g + 2*o = -14. Let s(m) = -m**2 + 2. Determine s(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985352.7 tonnes in grams?\nAnswer: 985352700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 689 + -79234\/115. Let t = -3192556 + 3304294991\/1035. Let f = t + i. Which is the second smallest value? (a) f (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 22*d + 5 - 5.\nAnswer: -35*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -14. Let s = 19 - b. What is p in p + 7*p + 2*p**s - 9*p**2 + 3*p**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 860195008593.882 - 860230626169.3119937. Let s = 35617574 + l. Let d = -1.43 - s. Round d to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 - 17.0023636?\nAnswer: -16.9923636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13506538 + 459.3.\nAnswer: 459.43506538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58\/3 + 20. Let o = -0.2 - -0.1. Let d = 47 + -47.4. Which is the nearest to -0.3? (a) n (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z + 737*z**2 - 736*z**2 + 13*z + 36.\nAnswer: (z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 68\/(-425)*15 + 14.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131778467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 4, 2, 834?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 75277.88 to the nearest 1000.\nAnswer: 75000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 - -2654?\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r - 1. Let g(h) = -3*h**2 + 9*h - 3. Let v be (-99)\/(-66) + 85\/(-10). Let c(q) = q**2 - 6*q + 3. Let u be c(6). Calculate u*g(l) + v*s(l).\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1\/(-2) + 0). Let f(u) = -2 - 21*u + 5 + 0 + 18*u. Give f(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 15062938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:28 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26967 + 169*i - 158*i - 29118 + 12476.\nAnswer: 11*i - 43609","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 30*y**2. Let l(q) = -6*q**2. Give l(a(w)).\nAnswer: -5400*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d = -25. Let n be 12\/30 - 18\/d. Suppose n*u - 5*v = 3*u - 21, -3*u - 2*v + 22 = 0. Solve q + q = -u for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/58 and -47\/14?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/3 - 4)\/((-6)\/81). Suppose 15*c = n*c + 12. Solve z = -z + c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2235529, -8942081, -20119667, -35768287?\nAnswer: -55887941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39104, -52905, -66708, -80513, -94320, -108129, -121940?\nAnswer: -135753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 4, b: 2, n: 2}. Give prob of sequence bq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5817702?\nAnswer: 2, 3, 11, 181, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 - (-49978 + (24 - 8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447989672 a multiple of 977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 10*h + 1. Let m be d(-1). Let j be ((-60)\/(-9))\/((-3)\/m). Is j - (-1)\/((-1)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 214, -4, 4, -3 in decreasing order.\nAnswer: 214, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Suppose 40 = 5*s - 13*s. Which is the third smallest value? (a) s (b) u (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4501985\/734 - 12267\/2. What is the closest to p in -1, 1, 4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000269728 rounded to seven decimal places?\nAnswer: 0.0002697","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10162245 (base 8) to base 5\nAnswer: -1022440220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 - k + 4. Let o(n) = 103*n**2 + 4*n - 4. Let z(d) = 26*d**2 + d - 1. Let l(r) = o(r) - 4*z(r). Give -4*l(j) + 2*w(j).\nAnswer: 2*j**2 - 2*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**3 + 0 + 2)*(-5 + 4 + 2)*(3 + 2 + 1).\nAnswer: -6*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*q - 3*q - 31, 0 = -2*k + 3*q + 27. Suppose 2*h + 5*z - 24 = 0, -2*z + 39 = 6*h - h. Solve -t = -k*t - 5, -h = -2*w - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14152.06 minutes in microseconds?\nAnswer: 849123600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -130852*v + 14 + 12134*v - 42613*v. Let k be n(-6). What is k rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*w = -4*q, 3*w = 3*q. Let i = 9 - q. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-40) + (-2 - 0))*62\/3255*189.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137793077.\nAnswer: 137793077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2*g = -72, 3806*g = -4*j + 3807*g - 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2 - 4 - 6 + 2*m in the form s*m + w and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -0.2, 1\/6680, -16, -2, 3\/2, -2\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 32 + 23)*((-2*z + 2 - 2)*(2*z - z - 3*z) + 0*z**2 + z**2 - 3*z**2).\nAnswer: 76*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18773 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**3 + 24*v**2 - 3*v - 3. Let s(t) = 16*t**3 - 47*t**2 + 5*t + 5. Let f(k) = 5*c(k) + 3*s(k). Let f(y) = 0. What is y?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10364.65 rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/15 - 41\/105. Let v(w) = -w**2 - 383*w - 36366. Let h be v(-174). Factor 1\/7*m**5 + 1\/7*m**4 - i*m**3 - 1\/7*m**2 + 0 + h*m.\nAnswer: m**2*(m - 1)*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1471\/678 - -1\/339. Calculate the common denominator of -41\/10 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3294 and -1481?\nAnswer: -4878414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-405)\/2520*-28*(-4)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1940 and -26\/485.\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527*y - 107 = -2*z - 528*y, 10 = 2*y. Let o be 8\/(-5) - (-2)\/(-5). Calculate the remainder when z is divided by 13\/1*(-2)\/o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 507586271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, -5\/2, -8, 16.08, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.6540781 rounded to three decimal places?\nAnswer: 23.654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - z**3 + 119*z**2\/3 - 155*z + 350\/3.\nAnswer: -(z - 5)**2*(z - 1)*(z + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/6 - 4231*y**2\/2 - 7900880*y - 21502889600\/3 = 0.\nAnswer: -5680, -1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 9*h - 9. Let k(a) = 20*a - 20. Let t(w) = -w + 1. Let g(z) = -k(z) - 15*t(z). Let x(l) = -4*b(l) - 7*g(l). What is x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52 and 2.051.\nAnswer: -49.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 13. Suppose d = -s*y + 6, 3*y + 0*y = -15. Let v = d + -11. Solve v = -0*c + 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen ninths of a week?\nAnswer: 17920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a = a - 8511 + 8602 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*v - 2, -4*v = -o - 3*o + 8. Suppose 0 = o*u - 14*u + 8*u. Factor 6\/7*p**2 - 36\/7*p - 2\/7*p**4 + 8\/7*p**3 + u.\nAnswer: -2*p*(p - 3)**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 1291*f + 10333. What is y(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66*b*h**2 - 5*b*h + 1307773*b + 4452*h**2 wrt h.\nAnswer: 132*b*h - 5*b + 8904*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 89122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jif when three letters picked without replacement from jlfhjjjlliefj?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-6) + 64\/(-48) - 3. Let l(x) = 7*x - 2. Let y(d) = 20*d - 5. Determine q*y(o) + 17*l(o).\nAnswer: -o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -0.07 (c) 199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16569902 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 35422, 0.01, 5, -7, 1\/2, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 45. Calculate the smallest common multiple of 3\/6*39 + (-6)\/i and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945163067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6257)\/(-11) + (-18)\/22 + 1. Round y to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -16. Let f(k) = 5. Let t(y) = -3. Let x(z) = r*t(z) - 5*f(z). Let q(p) = -2*p. Let c be q(-2). Let m(j) = 2*j + 5. Determine c*x(b) + m(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 5*z + 6. Suppose -4*h = 4*r + 4, -5*h + 0 = 4*r + 8. Suppose r*t + 12 = -2*f - 9, 2*f = 3*t + 9. What are the prime factors of n(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -16*r**2 + 29*r + 1. Suppose -14 - 29 = 6*s - 1. Is g(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3343359 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 520 divide 4053687040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 785560 and 17015?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 212, 435, 660, 887, 1116, 1347?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5603023, 5 in decreasing order.\nAnswer: 5603023, 5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -4 (c) 0.5 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -75884.\nAnswer: 9\/75884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6)*(-27)\/15*-5. Suppose 0 = -3*i - y*i + 18. Let s(q) = 20*q**2 + 13. What is the hundreds digit of s(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*q**2 - 2705*q + 1640.\nAnswer: 5*(q - 41)*(13*q - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/w**(2\/55)*w*w)\/w*(w**(-8\/3)\/w)\/w assuming w is positive.\nAnswer: w**(-116\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248790 and 46673004?\nAnswer: 233365020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7359*s + 397471. Determine t(54).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.137 + 0.147. What is y rounded to two decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 1\/102, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -339 + -36?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 - 64*r + 56. What are the prime factors of u(-20)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 - 156*s**2 + 1728*s - 3888 = 0.\nAnswer: 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -18. Suppose -5*f - h = -f + 8, 3*f = 5*h - 6. Let c = m + f. Solve 0 = -4*n - c + 31 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdhbhbdpehpdpdpdp. Give prob of sequence hpb.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/15 - 2*h**4\/15 - 6*h**3\/5 + 2*h**2\/15 + 8*h\/3 + 8\/5 = 0. What is h?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 15*f - 21. Let a be t(15). Which is bigger: a or -22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13591 - 13558. Let c = -328 + 94. Let s = c + 465. What is the greatest common factor of s and o?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**2. Let l = 8 - 6. Suppose 5*q + 10 = -2*w, 0 = -l*w - 0*q + 5*q + 10. Let t(a) = -2*a + 7*a + w*a. What is u(t(c))?\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1562 + 1581.66. Let o = z - 19. Round o to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 0 - 64*j - 3 - 5 - 91*j. Let v be o(-5). Suppose -z + 267 = -5*h, -2*h = -z + 4*z - v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.00025 - -6. Round i to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (109*u**2 + 89*u**2 - 74*u**2)*(-36 - 69 - 59 + 15) as w + d*u**2 + m*u and give d.\nAnswer: -18476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 12\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1575) - sqrt(1575))\/((sqrt(27)\/(sqrt(21)\/sqrt(7)) - sqrt(9)) + sqrt(9)) - ((-2*sqrt(84) + sqrt(84) + sqrt(84))*-5)\/(1*sqrt(60)\/sqrt(5)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-14)*c)\/c**(-3\/5)*(c*c\/(c*c*c\/(c**(-3\/7)*c*c)))\/(c*c**(2\/43)) assuming c is positive.\nAnswer: c**(-17872\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -5*l, 1 = 4*l - u - 10. Let z(p) = 2*p - 1. Let f be z(l). Suppose 2*n - 268 = -f*b + n, -n = -3*b + 156. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-20))\/(((-12276)\/(-96))\/31)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 20. Give c(-20).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -197488371*m**2 + 3583860*m wrt m?\nAnswer: -394976742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, 4, -2, 1.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1385*d**2 - 68*d - 4 wrt d?\nAnswer: -2770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92707 is divided by 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*x = 105*x - 147*x + 69*x + 2398 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 2*t - 4*t**3 + 41*t**2 + 43*t**2 + 2*t**4 + 34*t**2 - 117*t**2 to v*t + o*t**2 + l + x*t**4 + m*t**3 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 7:56 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/5085)\/(-7*4\/140)*(-33)\/11\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 + -1)*-4. Let n(t) = 2*t + 2. Let p be n(j). Which is bigger: p or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.02?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -902929 + 83599.\nAnswer: -819330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.04 (b) 0.4 (c) 4 (d) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6691?\nAnswer: 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8527685ms to microseconds.\nAnswer: 852.7685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 693078961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/12)\/((-3)\/(-63)) - 2. Which is the closest to -0.1? (a) s (b) 4\/13 (c) 2\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*s + 4 = 9, 0 = -4*s - 4. Let i(x) = -x**3 + 4*x**2 + x - 1. Let v be i(4). Suppose 2*q + 2*q = v*k - 32, k - 16 = 2*q. Which is bigger: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 15. Suppose -23*d - 286 = 3*d. Determine k(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d + 0*d - 2*d + (-2 + 2 + 2*d)*(-3 + 0 + 2) - 5*d - 2*d - 5*d to x*d + h and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w**(1\/3))))\/w**(-6\/7))\/(w**(14\/5)*w**(5\/4)\/w) assuming w is positive.\nAnswer: w**(-361\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-194)\/22 - (-2228)\/(-12254)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-9) - (-4)\/(-18). Suppose k = h*k. Let q be (31\/2 - 4) + (-6)\/4. Solve k = m + 4*m - q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/4 - 55*h**4\/6 + 190*h**3\/3 - 180*h**2 + 386*h. Factor g(f).\nAnswer: 5*(f - 18)*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from wwwwwkwwwwwwwwwwwww.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 12*h - 10*h - 79*h**3 - 5*h + 28*h + 3 in the form t*h + s*h**3 + d*h**2 + m and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -105*s - 145. Let a be q(-28). Suppose 1160 = k + 7*h - 2*h, 2*k - 2264 = 4*h. Let z = a - k. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 3:46 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 35091*a**3 + 632286*a**2 - 3795012*a + 7591320.\nAnswer: -3*(a - 6)**3*(a + 11715)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313786 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/4)\/((-10)\/160). Which is the closest to -3? (a) x (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 837. Let j(o) = -5*o - 4190. Calculate 4*j(s) + 19*t(s).\nAnswer: -s - 857","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b7 (base 15) to base 7\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - u**2 + 5*u + 8. Let m be j(-3). Is m smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78745632 divided by 1.\nAnswer: -78745632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 104589578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 10129?\nAnswer: 5\/10129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*96\/(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 2 - 2 + (-x + 0*x + 3*x)*(x - 2*x + 2*x)*(2*x - 2*x + 3*x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*h**2 + 11 - 6 - 5 to the form g + s*h**2 + t*h and give s.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 846*j - 872*j + 3 + 1716*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*d + 39, 4*d + 10 = 3*f - 47. Suppose -5*o = -j + f, -j = -4*o + 3 - 19. Calculate the remainder when 57 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 15*y = 5*y - 23*y + 30, -20 = -4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/24 and -43\/51.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-7))**(-1\/43))**(5\/13))**(-29\/4))**(3\/11) assuming u is positive.\nAnswer: u**(-3045\/24596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*((-15)\/(-25) + (-37)\/(-5)). Solve 8*t - p = 12*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*i + 4 - 366*i - 10 + 203*i + 5.\nAnswer: 111*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v - 6. Let y(x) = 4*x - 6. Let c(l) = -3*p(l) + 4*y(l). Suppose -2*d + d = -20. Let k = d - 14. Give c(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2317.\nAnswer: 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from fthskhw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1224 is divided by 600.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53772 + -8334763\/155. Let q = -3288\/31 + 106. Let m = d - q. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 7:41 AM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12935?\nAnswer: 5, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 7*v + 12. Calculate c(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of x**6\/120 + x**5\/15 - x**4\/3 - x**3 - 32*x**2. What is the remainder when 32 is divided by j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 12 + 188 + -174?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10353 - -18902. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/8967 and 41\/87.\nAnswer: 260043","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 1, s: 1, o: 1, d: 1, v: 2, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t = -12*t + 3*t + 112 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 125204038 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124979?\nAnswer: 124979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjajqjjanajqqr. Give prob of sequence jjq.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 + a**3 - 5*a**3)*(7 - 7 - a) + (-a**4 + 3*a**4 - a**4)*(-22 + 4 - 2).\nAnswer: -21*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l. Suppose c - 3 = -l*c. Suppose -2*u + 5 = c. Solve -u - 2 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 3124202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 5*v + 40, 5*v - p = -48. Let n = -4 - v. Let u = n + 1. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12 - 12)\/(-2 + 1). Solve 4*y + 8 + 12 = d for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*h**2 + 151 - 151)*(-2 - 3*h**2 + 2)*(-2*h + 0*h - 6*h).\nAnswer: 912*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(-3 + 5 + (sqrt(117) + 3)*1) + 5.\nAnswer: -18*sqrt(13) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -24. Suppose o = -6*l - 2*l. Let k be 29 - (-3)\/l*6 - 2. Calculate the highest common divisor of 16 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 2:07 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86208 divided by -14368.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000463683 to 7 decimal places.\nAnswer: 0.0000464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a + 546*a**3 - 35*a - 940.\nAnswer: 546*a**3 - 940","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 4 = 0, -258*h + 263*h + 14*r + 14*r - 24*r - 9 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66369 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4142104 minutes?\nAnswer: 24.852624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 16*r - 4356 = 0. Does 22 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 601946045 to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -751 in descending order.\nAnswer: -3, -5, -751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 136 + -306. Let z = n + 170.000467. What is z rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 3*y = 120. Let k = y + 24. Let m be 2 - -12 - (0 + k). Calculate the greatest common divisor of m and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -3\/160, 215\/2.\nAnswer: -3\/160, 3\/4, 215\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1001111010 (base 2) to base 13\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -555*j - 4266. What is n(-8)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - 66864639914.\nAnswer: -66864639914.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 88 = 3*o - 65, -5*f = -2*o + 141. Solve -o*t = -78*t + 270 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 715669 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3613117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 170452801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133355 (base 7) to base 10.\nAnswer: 25226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2beb1 - 4?\nAnswer: 2beac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/(-126))\/(230\/(-1725)). Let f = 91 + -91. Is f at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1618*c**3 + 6*c**2 - 366. Let d(a) = -1619*a**3 + 8*a**2 - 366. Let t(n) = 3*d(n) - 4*j(n). What is the first derivative of t(k) wrt k?\nAnswer: 4845*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f - 56 = -146. Sort f, -18, -8, 3, 0 in descending order.\nAnswer: 3, f, 0, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.97 + 0.03. Let n = -10.2 - -10. Let c = 0.5 + 4.5. What is the closest to i in c, -1, n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/66 and 71\/13470?\nAnswer: 148170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/17)\/x*x**7*x**4\/(((x*((x**(-3\/5)*x)\/x)\/x)\/x)\/x*x))\/((((x*(x*x**(-1\/8)*x*x)\/x)\/x)\/((x*x**(-2\/19))\/x))\/(x*x\/(x\/x**0))**15) assuming x is positive.\nAnswer: x**(319607\/12920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-7575516\nAnswer: 1515103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -4*u**4 - 3*u**2\/2 + 3*u + 84. What is the second derivative of d(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355094727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 10:51 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*k + 28. Calculate the highest common factor of k and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8809040 by -30376.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 - 1164*k**2 + 1164*k**2 - 36*k**3.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nuiltutnnltilnttty. Give prob of sequence lyl.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 733, 2482, 5889, 11506?\nAnswer: 19885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4526268 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n + 4*f = 411, 0 = -5*n - 2*f - 685. Let q = -142 - n. Let i = -21\/80 + 1\/16. What is the nearest to i in q, -4, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 12. Determine f(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-61)\/(-9)*2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 6.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o - 11*o + 129*o - 79513*o**3 - 57*o.\nAnswer: -79513*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, k: 3}. What is prob of picking 3 k?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 677 + -665. Suppose -n*v - 32*v + 132 = 0. Factor -25\/3*f - 1\/3*f**v + 0 + 10\/3*f**2.\nAnswer: -f*(f - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/11 - 34*p**2\/11 + 178*p\/11 + 210\/11.\nAnswer: -2*(p - 5)*(p + 1)*(p + 21)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -407 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.101 + 0.4. What is g rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 + 0.7. Which is the nearest to 1? (a) 0 (b) u (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105141 (base 8) in base 5?\nAnswer: -2113200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32770666 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 497488420 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2) - (-3)\/4)*1452\/99. Let d(z) = z**2 - 7*z + 9. Let b be d(6). Sort -4, t, 4, b in descending order.\nAnswer: t, 4, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6639117512?\nAnswer: 2, 61, 13604749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b + 18*b + 496. Sort 30, 2, b in ascending order.\nAnswer: b, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1532316 by -6.\nAnswer: -255386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.6. Let g = -0.12 + 0.32. Let p = 0.3 - 0.2. Which is the third biggest value? (a) p (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2)**28)**(1\/9)*(h*h**(-3)*h**(-4))\/((h\/h**(1\/2))\/h*h)**(10\/7) assuming h is positive.\nAnswer: h**(-31\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*r**3 + 1\/5*r**2 + 2\/5*r - 3\/5*r**4.\nAnswer: -r*(r + 1)**2*(3*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 55062 and 234 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(7\/4)\/(d*(d*d*d*d**45\/d*d*d)\/d))\/(d**(1\/5))**(-28) assuming d is positive.\nAnswer: d**(-833\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from poqmopzc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121\/484)\/((-2)\/(34*8))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2128 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -129, -272, -475, -738?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -289 - -92057.5007\nAnswer: 91768.5007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -7. Let g be (-2 - 1)\/(a\/(-16)). Suppose -5*t = -i - 15, 18 + 1 = t + 3*i. Does t = g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/(-123) + 1\/(-3). Let p(d) = -9*d + 81. Does 6 divide p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**4 + 2*w**3\/3 + 3*w**2\/2 - 4*w + 22. Let o be s(2). Factor 4*m**2 + 37*m - 22 + o - 13*m.\nAnswer: 4*(m + 1)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/4 - 495*b**3\/2 + 7650*b**2.\nAnswer: -b**2*(b - 30)*(b + 1020)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 456871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, y: 2, b: 1, a: 1}. Give prob of sequence yhbh.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1233, 5058, 11435, 20346, 31773, 45698?\nAnswer: 62103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*o + 244*o - 1667027 = 0. Calculate the greatest common divisor of o and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8676 + -2758. Is 5920 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -213\/2. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93243 and -497?\nAnswer: -46341771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.71 and -5.5339.\nAnswer: 35.1761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*d + 61 = -d, -3*k + 190 = -4*d. Suppose -2*h = -3*h + 4*y + 52, 2*h - 113 = 5*y. Is k greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxo when three letters picked without replacement from okkkkkkxkkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0 (b) -0.4 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 32 - 16. Let m(s) = -s**3 - 2*s**2 + 8*s + 13. Let v be m(c). Suppose 3*h + 23 = u, h + v + 6 = u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b = b. Suppose 5*m + b*m = 3540. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1 (c) 201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - 20. Suppose -y*p + p + 275 = 0. Let o = p + -39. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 - z**2 + z**2 + 5*z**2 + 1 to the form k*z**2 + m + c*z and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4 - 6. Let d = 4214 + -4214. Solve d*k + 5*k = g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -271\/9 - -1075\/36. Let z be -2*((-3)\/(-3) + -3). Let i = z + -5. What is the closest to 0.09 in 5, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by -32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*h**4 + 45*h**3 + 3190*h**2 - 18720*h + 4480 = 0. Calculate h.\nAnswer: -14, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2 + 31*c - 20. Give w(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.255 + -0.837. What is the second smallest value in w, -3\/8, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145429 is divided by 3930.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2911051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155 - -155.101. Let i = y + -4.801. Let x = 15.9 + i. What is x rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = a, -3*w - 4*a = -5*a - 4. Sort -1, -12, w, 0.\nAnswer: -12, -1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 614674312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0484675 rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybrllbyyly. What is prob of picking 1 l and 2 y?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4 + 4*g**3 + 4*g**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2092*g - 3733*g - 1747 + 5747 = -1825 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867298, 3469143, 7805558, 13876549, 21682122, 31222283, 42497038, 55506393?\nAnswer: 70250354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 129\/(-6) + 2\/4. Let t = 137 + -137. Let i(y) = 3*y - 20. Let v be i(t). Is v < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 32?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-4)\/(-18) + 1040\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*m + 2 + 27*m + 34*m + 20*m + 23*m.\nAnswer: 18*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 r, and 1 u when three letters picked without replacement from {t: 4, u: 1, f: 2, m: 3, r: 1, h: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -3042521?\nAnswer: 3042515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 33. Give p(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.96466m in kilometers?\nAnswer: 0.00496466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/4168 or 0?\nAnswer: 3\/4168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.3409729 months to years.\nAnswer: 0.195081075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83\/84 - 52\/21. Calculate the common denominator of 61\/2 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 1413. Let q(o) = 2*o + 718. Determine -9*q(n) + 4*u(n).\nAnswer: -2*n - 810","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 8 = -2*o - 2*k, 13 = -o + 5*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 347 = 317. Let h = 364 + o. Calculate the highest common factor of 18 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 m when two letters picked without replacement from {x: 2, r: 3, m: 1, k: 3, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-42) - 2)*39\/26.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*a - 56*a + 106*a = 412*a - 1563 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*g + 94*g + 107*g - 543*g.\nAnswer: -161*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2)\/((-2)\/(-20)). Suppose o*h = 5*q, 2*q + 2*h = q + 6. Let k(f) = -2*f. Let l be k(q). Which is the nearest to -2? (a) l (b) 3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 34 - 29 - 4*i + i**2 + 4*i in the form n*i + c + a*i**2 + y*i**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1280630?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.2. Let r be 8\/16*4\/2. Which is the third biggest value? (a) s (b) r (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1020, -1095, -1228, -1425, -1692, -2035, -2460?\n\"Answer: -p**3 - 23*p**2 + p - 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 80*h. Let o(v) = 485*v. What is m(o(b))?\nAnswer: 38800*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c**2 + 41736*c\/7 + 1084\/7.\nAnswer: (c + 542)*(77*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11*v\/v**(-12)*v*(v*v*v**(-3)*v)\/v**18 assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18454 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 479437113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61417 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s + 4. What is u(14)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + o = -8, 3*d + 240 - 222 = -o for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)\/sqrt(432))\/(sqrt(84)\/(-3*sqrt(7))) + -5*(sqrt(1500) - (2*sqrt(1500) + sqrt(1500)))\/(sqrt(160)\/sqrt(8)).\nAnswer: 99*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 370 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 2. Let k be (1611 - 1606)\/(((-1)\/(-3))\/((-1)\/(-3))). Let h(p) = p - 11. Let y be h(5). Let v(g) = 3*g + 1. Determine k*u(o) + y*v(o).\nAnswer: 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 1623.9 (c) 2\/11 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2456827 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 - 3*g**2 - 19*g + 1. Give f(-4).\nAnswer: -355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 13 = -13 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o + 381 + 469 = 222 - 44 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 119233.9s?\nAnswer: 119233900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 13.8\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 7*a - 7)*(3*a**3 - 4*a**3 - 4*a**3) + (3 + 0 - 5)*(-a**4 - 2*a**2 + 2*a**2) + a**2 - 19*a**2 - 4495*a**4 + 4496*a**4.\nAnswer: -32*a**4 - 18*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -7.6\nAnswer: 6.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8535314*i**5 + 11295452*i wrt i?\nAnswer: -170706280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15985 + -15990. What is the closest to -1 in 0.1, 0.217, 3\/8, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6928.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.161 and 7.\nAnswer: 7.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c + 0*c + 0*c + c to the form w + g*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 31 = 4*q, 0*q = -x + q - 1. Let v be (1\/2 + x)*-2. Which is smaller: -11 or v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 4*n - 3. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 8)*2\/3. Let d(r) = -r**3 - 12*r**2 + 2*r + 26. Let c be d(-12). Let j(o) = 5*o + 3 + 0*o**c + 0*o**2 - 6*o**2 + 5*o**2. What is j(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 28 = 4*t. What is the lowest common multiple of (-624)\/t + (-4)\/14 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 1\/3 (c) -2\/5 (d) 649 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5918 + 10308. What is the greatest common factor of r and 266?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 422019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 41.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480) - (sqrt(480)*2 + sqrt(480)))\/sqrt(8) + sqrt(240)*-4)\/(-2*((1*sqrt(96))\/sqrt(8) - 4*sqrt(12)*-2)).\nAnswer: 5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**4\/4 + 11097*c**3\/2 - 110953*c**2\/4 + 44379*c - 22189 = 0. Calculate c.\nAnswer: 1, 2, 22189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 119*v = -121*v + 22, -2*v = -4*l - 22 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*o - 602 - 166 = 0. Let c(l) = -7*l - 35. Let v(j) = -1. Let w(q) = c(q) - v(q). What are the prime factors of w(o)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27363 - -27961. Is 600 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + 41. Let x = 107.7 - k. Let p = 1.3 + x. Is p greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 742, 1569, 2566, 3817, 5406, 7417, 9934, 13041?\n\"Answer: 14*n**3 + n**2 + 726*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213322*s - 426770*s + 213697*s.\nAnswer: 249*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*j = -8, -128*j + 124*j - 8 = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -9 - 1\/3*p**3 + 0*p + 0*p**2. Let i(j) = -8*j + 1. Calculate i(y(x)).\nAnswer: 8*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(520)*2 + sqrt(520))*-6)\/(sqrt(160)*2))**2 + 1.\nAnswer: 1065\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 879*r**2 - 9*r - 36. Let c(g) = 732*g**2 - 8*g - 35. Let l(d) = -6*c(d) + 5*y(d). Let z(x) = x**2 + x + 1. What is -l(s) + 5*z(s)?\nAnswer: 2*s**2 + 2*s - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, -77, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(45*s**2 - 31*s**2 - 37*s - 22*s**2)*(4*s - 5*s**2 - 4*s) to g*s**2 + v*s + x*s**4 + m + f*s**3 and give f.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 + -26 - (-3 - 0)) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*z + z. Let b be ((-144)\/(-14) + -10)*7. Suppose -5*q + c + 197 = 0, -z*c - b*c = 3*q - 107. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**4\/12 - 2*l**2. Let r(b) = b**2 - 4*b - 4. Let d(n) = -n**2 + 3*n + 3. Let a(g) = 4*d(g) + 3*r(g). Determine a(u(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 2:13 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1722386?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -1.1. Let l = -2.57 - 1.43. Let c = l + z. What is the smallest value in 1, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 8 - 21 - 13 - 9 + v.\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6019872776 to the power of 1\/3, to the nearest integer?\nAnswer: 1819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 472504?\nAnswer: 472512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7005 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*a - 26 = 0, 3*t + 3*a = -2 + 11. Suppose -2*y + t*y + k = 64, 2*y + 3*k - 36 = 0. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k**2 + 278*k - 4530. What is y(34)?\nAnswer: 298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((3 - 6) + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3460 and 1084.\nAnswer: 937660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 11 = 2*m, 2*m - 7 + 1 = -2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32534 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r + 1. Let n(j) = 7*j**2 - 7*j - 17. Let g(a) = n(a) - 3*y(a). Let i be g(10). Suppose 335*w**3 - 3*w**2 - i*w**3 - 2*w**2 = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.280923 * -0.054\nAnswer: -0.015169842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 36*x**2 + 55*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66129 and 70350.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9977 minus 2.8?\nAnswer: 9974.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11585 + 11584.99998737. Round m to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 695*q + 3350 = 0. What is q?\nAnswer: -134, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 900*u**3 - 13268*u - 896*u**3 + 13277*u.\nAnswer: 4*u**3 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 2. Let n be d(0). Calculate the common denominator of n + -2 + 115\/14 and 73\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -58*m + 9. Let q = 3 + -5. List the prime factors of w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*y**2 - 45*y**2 + 3*y**3 + 0*y**4 - 3*y**4 + 2 as r*y**3 + i*y + j*y**2 + s*y**4 + c and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x**3 + x**2 - 1. Let l(m) = 5*m**3 - m**2. Let u(p) = -4*b(p) - 3*l(p). Let j be u(0). Suppose -3*a + a = j. Is -3\/5 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeezez. What is prob of picking 4 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 133332?\nAnswer: -133333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17329 and 27001?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 2*p - 26950 = -37*p. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.63 and 86524.\nAnswer: -54510.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 140*y**2 - 156*y - 1581. Is t(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 1. Let b be y(-5). Let f = -57 + 0. Is (f\/b)\/(2\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35721381 divided by -3?\nAnswer: -11907127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from ykkyday.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2 - 3*t - 1 + 2. Let v be m(-1). Let s(d) = 29*d - 207. Let n be s(7). Put 1, v, n in decreasing order.\nAnswer: v, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3519, 3523, 3527, 3531?\nAnswer: 3535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3565*b - 3575*b - 7 + 7131*b)*(8*b + 9*b - 3 - 21*b) to the form n*b**2 + o*b + t and give n.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -102, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -877 divided by 76?\nAnswer: -877\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394664*h + 394664*h + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.34416 weeks to days.\nAnswer: 653.40912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24.4 - 24.6. Suppose -4*w - 17 = 5*f, -4*f + 0*w = 3*w + 13. What is the nearest to f in k, 6, 0.09?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2480\/1612)\/((-4)\/(-26))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -47. Suppose -2*k - h = -t, 2*t - 37 = 4*k - 3*k. Put t, -5, -1, 3 in decreasing order.\nAnswer: t, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-16)\/o))\/((o*o**(3\/10))\/o) assuming o is positive.\nAnswer: o**(177\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 4. Let g be i(3). Let f(o) = -3*o**4 + o**3 - 2. Let z(x) = -6 - 15 - 2*x**3 + 24 + 4*x**4. Let n(c) = g*z(c) - 3*f(c). Factor n(y).\nAnswer: y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003191932 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 7*a + 1150 = 3*w, -4*w = 2*a - 1534. What is the highest common factor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.069 - -29.069. Let f = n - 17.75. Let g = 11 - f. What is g rounded to 2 dps?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 3021?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**39\/(t**0)**(-47)*(((t\/t**(-1\/4))\/t)\/t*t)\/t*(t\/((t\/(t*(t*(t\/(t\/t**(-3))*t)\/t)\/t))\/t*t*t))\/t*t**(1\/5)\/t*t**(-6)\/t assuming t is positive.\nAnswer: t**(139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 6. Suppose -21 = -8*l + 5*l. Let t(h) = 17*h - 1 - 11*h + 0*h - l*h. Calculate -5*t(y) + u(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/54664*(-792716)\/(-22). Let o = b - 1\/6833. Calculate the common denominator of o and -31\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103203021 (base 4) in base 8?\nAnswer: 234311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 71. Let b be ((-6)\/15)\/((-2)\/100). Suppose 0 = 4*i + b, -k + i + 53 = k. What is the remainder when d is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 34*k - 105. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(-2\/3)*w)\/w))\/(w**(-2\/5)*w)*(w\/(w*w*w*w**1))\/(w**7\/w))**(-50) assuming w is positive.\nAnswer: w**(1190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 135, 425, 871, 1473, 2231?\n\"Answer: 78*a**2 + 56*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000 + 101001001100101?\nAnswer: 101001000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-4)*g**(-3\/14) assuming g is positive.\nAnswer: g**(67\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 2*f + 16 = 4*r, 5*r = 270*f - 266*f + 26. Which is the nearest to r? (a) 0.03 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -57, -3, 3.6?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 14 = -5*c, -u + 3*c - 12 = 0. Let z be (-2*2 + 3)*-5. Let m(h) = 7 - 7*h**2 - 16*h**3 + 15*h**3 + 0 - z*h + 1. Give m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*y = -0*r - 6, 5*r + 5 = -5*y. Suppose 3*k = -5*p - 40, -4*k + 15*p - 9*p = -10. Put r, k, 2 in decreasing order.\nAnswer: 2, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75304, 150534, 225786, 301066, 376380, 451734?\n\"Answer: s**3 + 5*s**2 + 75208*s + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - -101010001120012?\nAnswer: 101010001111202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = q - a - 20, q + 4*a = -16. Solve q*r = -r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6632905?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from hihhiihphiqthqhh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100968255 + -100968235.0000013. Let k = -20 + o. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*l = 10, 2*h - 4*h = 5*l - 10. Suppose 5*q = -j + 115, 2*j + h*q - 187 = 68. What is the units digit of (-400)\/j*(0 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Suppose 0*m - 3*j = -5*m + 35, -m - 5*j = 21. Let i(s) = -4 + m + 72*s - 65*s. What is i(d(o))?\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 - 960*u**3 + 504*u**3 + 6*u**2 + 4*u**3 - u**3 - 2*u**3 + (0*u**2 + u**2 + u**2)*(-u - 1 + 1) - 6*u**3 + 3*u**3 + 2*u**3.\nAnswer: -458*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53087*n*r**2 - 1453*n*r - 3*n wrt r.\nAnswer: -106174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1079 = -6*g - 1055. Suppose -3*n - 3710 = x, g*n + 3*x + 6190 = -n. Round n to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-2 - -1) + -6 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*z + 2*z**4 - 72*z + 3*z**3 + 6 - z**3 as w*z + l*z**4 + v*z**3 + r + a*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 16*y - 3*y + 4*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -41301 smaller than -41284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = k + 7, -28*g + 8 = -27*g - 2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + g + 78 = t, -5*g = -t + 29. Suppose 0*w - t = -w - 2*i, 0 = 3*w - 2*i - 41. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 6*i - 175. Suppose k + 4*k - i = 0. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1744*w + 3530*w - 1720*w as t*w + s and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 2, e: 1, i: 2, g: 1}. What is prob of sequence gi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 6:10 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.356894 months in millennia?\nAnswer: 0.0023630745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 - 73. Calculate the remainder when 11 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 33*c - 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27028 + 27097. Calculate the remainder when 58371 is divided by c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 + 15*n + 18.\nAnswer: -3*(n - 2)*(4*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56952, -114021, -171090, -228159, -285228?\n\"Answer: -57069*v + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 124428748 to the power of 1\/2, to the nearest integer?\nAnswer: 11155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3432 (base 5) to base 14\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 5. Let t(q) = -q**2 + 39*q + 222. Let y be t(-5). Suppose y*c = j + b, -5*j + 4 = 24. Solve -n = c - 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + 513\/(-72))*-2. Which is the nearest to z? (a) -0.1 (b) -2 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 4*a + 116 = 0, -2*a + 182 = 4*l. Suppose -4*p + 0*p = -l. What is the remainder when p is divided by 2\/(16\/(-14))*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -163.00003795 + 163. Round v to six decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5901400, -11802800, -17704198, -23605594, -29506988, -35408380?\nAnswer: -41309770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 4*w + 2717, -938*y = -941*y + w + 2707. What are the prime factors of y?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 569 and 0.0883793.\nAnswer: 569.0883793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**2\/5 + 282*q + 1412\/5 = 0.\nAnswer: -1, 706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 73 = 23. Suppose 3 = -j - j - 3*d, 4*d + 18 = 2*j. Suppose -j*f + 8*f = 65. What is the remainder when x is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 277, 13, 1\/5, -0.3, -2\/9, -37 in increasing order.\nAnswer: -37, -0.3, -2\/9, 1\/5, 13, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-66)*247920\/51650\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.5, -5, 146?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4009.\nAnswer: 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1745766 and 19536.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 217, 1, -313 in ascending order.\nAnswer: -313, 0, 1, 3, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v**3*y**3 + v**3*y - 3*v**3 - 2*v*y**3 + 10*v*y**2 wrt y?\nAnswer: -18*v**3*y - 12*v*y + 20*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12909 - 44091. Round t to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6)*-2*-2)\/((-273)\/(-63))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + 1\/3. Suppose 5*x + 3*n = 80, -3*x + 6*x + 4*n - 48 = m. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 49920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 56\/(-20) - ((-12338)\/(-39060) + 3\/7)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 23100737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.0738371 rounded to one dp?\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 5:55 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -620 (base 7) to base 9\nAnswer: -372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 337*p - 193*p - 174*p + 30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by -1\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11110001001 (base 2) to base 12\nAnswer: -1149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16081\/6 + 2680. Let v = 5.9 + -5.7. Put 6, v, -2\/5, o in decreasing order.\nAnswer: 6, v, o, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7844267 days in minutes?\nAnswer: 1129.574448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.97409 to two dps.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2216307*o**4 - 5*o**3 - 25189671*o**2 wrt o?\nAnswer: 53191368*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 3 (b) 2\/7 (c) 0.06 (d) 3\/4 (e) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:42 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {h: 4, j: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 15.9 (c) -5 (d) 5 (e) -4 (f) 1624 (g) 3.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145333.\nAnswer: 17, 83, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/200*4*-5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 0.015147566.\nAnswer: -0.015147566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 - 0.3. Let l = 0.972 + 0.028. What is the third smallest value in l, u, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -13*l**3\/3 - 3*l**2 + 6*l - 1249. Let k(g) = 14*g**2 + 7*g - 7. Determine 5*k(b) + 6*z(b).\nAnswer: -8*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.018538 - 4.021238. Let f = -19 - -15. Let x = f - p. What is x rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10942.2 + 10936. Put 1\/15, 2\/5, j, -2\/11 in increasing order.\nAnswer: j, -2\/11, 1\/15, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12975?\nAnswer: 3, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**3*x**3 - 4*j**3*x**2 + 801*j**3 + 857*j**2*x**3 + 3*j*x**3 + 12*x**2 wrt x.\nAnswer: 24*j**3 + 5142*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 1\/3, -1, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-74)\/296 + 7090\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100101101 + 100?\nAnswer: 10001100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8294.4204 hours to weeks.\nAnswer: 49.37155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131 + -40?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/(-8)*(6 - (-1290)\/(-195)). Let r be (1 + -1)\/(-3 + 1). Suppose i - 2*i = r. Which is smaller: u or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2. Let i(j) be the second derivative of -2*j + 0 + 1\/6*j**3 + 5\/12*j**4 - 11\/2*j**2. Let z(h) = -11*b(h) + 2*i(h). Give z(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1400)\/1225)\/(-1*(-35)\/49)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1553 * 1021.\nAnswer: -1585613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 4*n = 31, 93*w = 96*w + n - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:06 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 - 42?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 155. Let p(h) = h + 31. Let s(z) = 5*p(z) + y(z). What is s(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-10)\/(-15)*-9)\/((-202)\/66 + 3). Calculate the highest common divisor of 451 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148.7 * 3\nAnswer: -446.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - r + 23, 551*r - 555*r = 4*j - 48. Calculate the remainder when 329 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -2\/7 (c) 1.24 (d) 2 (e) 0.4 (f) 49\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -90581.85 rounded to the nearest 1000?\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3)*(2*g - 3*g + 0*g)*(0 - 3 + 9).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3\/7 + 24462304*m**2\/7 + 37400098575060*m\/7 - 74800882096200.\nAnswer: 4*(m - 14)*(m + 3057795)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 10*y + 23. Give l(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 - -7. Let x = -1051608\/3680677 + -2\/525811. Which is the second smallest value? (a) x (b) k (c) 26\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3. Let t be 4 + -3 - 1\/d. Find the second derivative of 2*w + w**5 - t*w - 2*w wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851 = 4*v - 911. Sort -2\/7, -3, v in descending order.\nAnswer: v, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 53907715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c - 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 12 - (1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1529856731?\nAnswer: 13, 117681287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8213 - -8229. Solve 2*l = -12, -n*i + 4*l = -15*i - 24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/28*-7)\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 213*v - 49. Give r(53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3 + 5 - 2 + 7*j**2 - 6 - 2*j + 4 wrt j?\nAnswer: -18*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(2057)*6 - (-2*sqrt(1088)*1)**2*4.\nAnswer: -17404 + 132*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31019 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/853268 and -77\/15738.\nAnswer: 110071572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 20*z**2 - 2. What is h(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 374 - 372. Let p be -2 - (1 + (k - 5)). Let l(w) = w + 1. Let i be l(-1). Solve i = -2*a - 6, -4*c - 2*a + 4*a + 18 = p for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - 722112382?\nAnswer: -722112467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**3 + h**2 - 2*h. Let o be k(-2). Calculate the remainder when (-82)\/(-8) + 18\/o is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10417274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 117 + -530. Let h = 858 + r. Suppose -i = 4*i - 4*u - h, -5*i + u + 430 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9569700 and 33480?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49aa + 2765a?\nAnswer: 30448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.87 + -32.9. Let m = -2.19 - p. Round m to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 3\/(-2)*(-112)\/42. Let i be 12 - -2 - (5 + -2). Put -4, m, i in descending order.\nAnswer: i, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5.376811 years?\nAnswer: 64.521732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2907*i. Let b(q) = -2*q - 9327. Give b(g(z)).\nAnswer: 5814*z - 9327","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m + 3. Let i(t) = t. Let b be i(5). Give p(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*(l\/(l*l\/l**(2\/29)))\/l*l*((((l\/(l\/((l\/(l\/l**(1\/5))*l)\/l))*l)\/l*l)\/l)\/l)\/((l\/(l\/l**(-7)))\/l))**(2\/13))**(-2\/23) assuming l is positive.\nAnswer: l**(-1316\/43355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.494459 grams?\nAnswer: 494459000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of (-2 + 1)*-2266 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1034011, 4135992, 9305961, 16543918?\nAnswer: 25849863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 10881\/5 and 2177 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114)*-1)*-1)\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -348 (base 9) to base 7\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*o - 0. Let t be (5\/(-1))\/((-3)\/o). Let l(f) = f**3 + 7*f**2 - 3*f + 4. Let d be l(-7). What is the highest common factor of t and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -8. Suppose -209*k - 2618 = -216*k. Let o = -344 + k. Calculate the least common multiple of o and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*y - 0*y. Suppose 0 = -n - n + y. Differentiate 4*j**4 - 9 + 8 - n*j**4 with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3946207 to the nearest integer?\nAnswer: 1987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -120*y**2 - 72*y - 2. Give g(-1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -515010, -510885, -506760?\nAnswer: -502635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*b**2 + 3*b**2 + 36*b**2 as f*b**2 + s + r*b and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*r - 696 - 402, -2*a = -4*r - 554. Suppose s - 10*g + 15*g - a = 0, -5*s = -3*g - 1403. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 11.5. Sort m, 3, 0.4 in increasing order.\nAnswer: 0.4, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqqgqqsslqslsggqql. Give prob of picking 1 l and 1 g.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -10*v**3 + 9*v**2 + v. Let o(q) = 5*q**3 - 4*q**2 - q. Let p(u) = 4*d(u) + 9*o(u). Find g such that p(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:08 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*t + 121 + 69 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 524506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (100 - 13587*q + 27179*q - 13583*q)*(2 + 2 - 6).\nAnswer: -18*q - 200","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.09 + -1.21. Let g = 3.3 + o. Which is the nearest to -2\/7? (a) g (b) -3\/2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*x**5 + 185*x**4 + 3665*x**3 - 385*x**2 - 3490*x + 200 = 0. What is x?\nAnswer: -4, -1, 2\/35, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30001003300 (base 4) to base 14.\nAnswer: -5bdda8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 382, 842, 1462, 2230, 3134?\nAnswer: 4162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 1959?\nAnswer: -39.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(3\/5)\/w*w)\/w)*w*(w**(-8)*w*w)\/w*(w*w**(2\/15))\/w*w**(-1\/2))\/((w*(w\/(w\/(w*w**(-1)*w)*w))\/w)**11*w**(-1)*w**(1\/7)) assuming w is positive.\nAnswer: w**(-1073\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 312 + 2112. Suppose -v + c = -74, 7*v - 3*v = -3*c + q. What is the remainder when v is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-3*sqrt(117) + sqrt(117))*-5)\/(sqrt(1296)*2))**2 + 1.\nAnswer: 901\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9192 and 1689312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 3*p**2 - 4*p**2 + 1 - 4*p**3 + 31*p - 29*p - p**4 in the form x*p**4 + n + c*p**2 + o*p + q*p**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421 = 60*w - 371 + 312 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15916 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2727, 3377, 4029, 4683, 5339?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.281659\nAnswer: 0.0281659","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -310329 - -620673\/2. Factor 5\/4*h**3 + 65\/4*h - u - 10*h**2.\nAnswer: 5*(h - 6)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 36*q**2 - 284*q + 4. Let m be z(8). Sort -1, 3, m in decreasing order.\nAnswer: m, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-24)*(-27)\/(-258))\/((-6)\/(-4)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 428\/12*(10 - 12\/3). Suppose 0 = -3*o + 2*o - 5*h + 61, b = 4*o + 5*h. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 11*w**2 - 18*w - 12. Let p be h(-12). What is the greatest common factor of p and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 12:00 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 2*l - l)*(5 - 1 - 2)*(-2 + 1 + 0) + 3*l - l + 0*l + (54 - 25 + 68)*(2*l + 1 - 1) - 3*l + 3 - 3 to i*l + n and give i.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + -207*(-1540)\/30.\nAnswer: 7, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118 and 4031647.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.6499 - -8.649837951. Round y to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 543958 and 1688?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 18\/5 of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -34*o**2 + 4753*o + 955. What is b(140)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -12*i**3 + 3*i**2 - 1594*i - 1597. Calculate c(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 70.26039141.\nAnswer: -70.56039141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, u: 6}. Give prob of picking 1 n and 2 u.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57701*h**3 - 36 - 3*h + 5*h - 115412*h**3 + 57695*h**3.\nAnswer: -16*h**3 + 2*h - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h**3 - 16*h**2 - 32*h + 46. Let a(x) = -4*x**3 - 5*x**2 - 10*x + 15. Calculate 16*a(l) - 5*s(l).\nAnswer: -4*l**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5134 a factor of 2651654526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 20 = -2*k. Let y(o) = o**2 + 4*o + 4. Let t be y(k). Let z be 2 - 4 - (1 - 10). What is the highest common divisor of t and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n + 4*n - 2*n)*(4 + 3 - 4)*(2*n**2 - 2 + 2) + 19*n**2 - 19*n**2 - 24*n**3 to the form w*n**3 + b + k*n + p*n**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**2 - 23*x - 9. Let p(v) = 2*v**2 - 8*v - 3. Let b(z) = -8*p(z) + 3*t(z). Let c be b(-4). Solve 7 = -3*w + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8732*g**3 - 64*g**2 - 25?\nAnswer: -52392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 137\/65 + -151\/195. Let d(m) be the third derivative of 0 - n*m**3 + 12*m**2 + 0*m - 1\/120*m**6 + 1\/30*m**5 + 1\/6*m**4. Find p, given that d(p) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 716, 2848, 6400, 11372, 17764, 25576?\nAnswer: 34808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 587\/11?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 12637630 = 0. Suppose 45872458 = 4*o - k. Suppose r + 2*s = o, -r + 3*s - 36299994 = -4*r. Round r to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2*j + j)*(-3 + 0 + 2 + (-3 + 5 - 1)*(-4 + 3 - 3))*(j**2 - 4*j**2 + 4*j**2) + (-154*j**2 + 154*j**2 + 41*j**3)*(1 - 2 + 0).\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10103 + 10123. Calculate the highest common divisor of a and 1140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-4)*(-2)\/3. Which is bigger: b or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -7. Let w = 12 + -2. Let h = -10.5 + w. Which is the smallest value? (a) y (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -40 + 28. Suppose -62406 + 18826 = -2*x. Suppose x = q*j + 6*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 3*t - 5, -5*c + 20 = -5*t + 4*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 158312.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.5, 12\/11, 2\/13 in descending order.\nAnswer: 12\/11, 0.2, 2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -62*b + 1186. Give z(21).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 19. Suppose -t + 5*t - 3000 = 4*l, s = 4*l + 2*t + 2988. Let o = 1821 - l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 100556 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 + -0.03. Let n = -3.1 - u. What is the second biggest value in -1\/5, n, 1\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (412\/(-41) + (-86)\/(-1763)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 3, -414, 1635, 0 in descending order.\nAnswer: 1635, 3, 1, 0, -4, -414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -919\/1257 + 27\/419. Which is the nearest to 65? (a) -1 (b) 14\/3 (c) l (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3035484 divided by 252957.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 8\/3. What is the closest to 0.1 in m, -6, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -23 + 9\/5*o**5 - 3\/4*o**4 - 50*o + 0*o**2 + 0*o**3. What is the derivative of y(p) wrt p?\nAnswer: 36*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 - 9*c + 3. Let p be 9\/12*-2*-6. Let y be j(p). Suppose 39 = -3*m + y. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -23, -13, 21, 91?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v + 36 = -218 + 12 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*0.4.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {a: 5, v: 3, y: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 588557 or 588553?\nAnswer: 588557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/3 + 118*h**2 + 13924*h + 1643032\/3.\nAnswer: (h + 118)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56355435*v**2 + 37619783*v.\nAnswer: 112710870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at least -2\/18505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*l + 61 = -139, 4*m - l + 160 = 0. Let w = -39 - m. Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v. Let w be n(2). Suppose -w = -f - f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -254 divided by -4.\nAnswer: 127\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -579, -587, -597, -609, -623?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 537633.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3 = -4*z, 71545*z - 6 = t + 71546*z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 22710.099 months?\nAnswer: 18.9250825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300010337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 73788971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 447*d**2 + 8*d - 5. Let x be b(-4). Suppose -u - 4*u = -x. Suppose u = a + 63. What is a rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 21*t + 0*b = 5*b + 17, 0 = -4*t + b + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204412 - 21011?\nAnswer: 133401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aiyayayiiiaa.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 4. Let f(p) = -395*p**3 + p + 1. Let o be f(-1). Suppose -o = g - y*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 24*q + 154 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6401814 by 6.\nAnswer: -1066969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3005265 divided by -1001755?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 215226 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + j)*(-723 - 6*j + 723).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 - l**2 + l - 603 + 3*l + 605. Let v be y(-4). Let g be (1 - 0) + (5 - 2). Solve -v*d + g*d = 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 11*d + 10. Let i(q) = 9*q**2 + 21*q + 19. Let c(b) = -6*i(b) + 11*s(b). What is the remainder when c(8) is divided by (-1)\/4 - (-45)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 1:30 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/150 and 151\/4350.\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19600 = -1817*x + 421*x - 19488 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**(-2\/3)))**21)**35*x**(2\/5)*((x\/(x**(-3)\/x))\/x*x)\/x*x**4\/(x\/x**(-2)) assuming x is positive.\nAnswer: x**(-1198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-22)\/(-6) + -1)*(-49 + 46). Let b(z) = -z**2 - 9*z + 8. Determine b(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 478, -3, 6 in decreasing order.\nAnswer: 478, 6, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4, 2*n - 2 = -0*n + 4*p. Let f be (2\/n)\/((-60)\/14 + 4). Suppose 0 = v - 7 + f. Solve -v + 1 = -c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28 - 170*w - 171*w + 347*w in the form v*w + m and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 48*y + 5167. Sort -2, -3, y, 3 in decreasing order.\nAnswer: 3, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 8:49 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 16606.77 tonnes?\nAnswer: 16606770000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 594.2 + -109?\nAnswer: 485.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.376 + 0.016. Let l = -258.2443 + 256.884369. Let w = l - o. What is w rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7608 - 7608.0000009479. Round h to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k + 263. Determine y(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0559, -4, 2, -0.2, 0.4, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9175a8 (base 12) to base 6\nAnswer: -120415532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 5*c**2 - 5*c - 3. Let y be j(-4). Calculate the remainder when 40 is divided by y\/5 - 276\/(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1773*d + 1334*d - 1712*d to the form g + c*d and give c.\nAnswer: -2151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.123 - 0.133. Suppose 8 - 4 = -2*h. What is the second biggest value in 1\/8, h, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/1548 and 35\/192554.\nAnswer: 3465972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -4013?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 85\/4 of a litre?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (17654\/8148)\/(1\/6)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-9) + (-28 - 11770\/(-396))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18840 and 1692.\nAnswer: 2656440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30419827 minus 155?\nAnswer: 30419672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121484 and 220.\nAnswer: 607420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 greater than 9161\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, r: 7}. What is prob of sequence rrry?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 4*a + 4*a + (0*a - a + 2*a)*(2 - 1 + 0) + 8 - 13 - 9*a + 26 as o + x*a and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i**3 + 848*i**2 + 1540*i + 744 = 0. Calculate i.\nAnswer: -186\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 4*q**2 - 3*q + 50. Give h(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.38932 to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, -1, 5, -3.\nAnswer: -3, -1, 5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8027 is divided by 365?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -149.999809 - -150. Round o to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-171)\/(-7) - 57\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297*z**4 - 399*z?\nAnswer: -3564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(2*q + 0 + 0) - 70*q + 38*q - 55*q.\nAnswer: -91*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**3\/2 - 3*b**2\/2 + 3*b + 4. Let l(h) be the first derivative of c(h). Differentiate l(j) with respect to j.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75023?\nAnswer: 13, 29, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.03, -543, -2, 1\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 r when three letters picked without replacement from {b: 1, r: 6, m: 1, a: 2, c: 2, n: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:27 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -4, 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 128991506 divided by 2433802\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*u + 29796 = 305*u. Solve 33*w - u = 46*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*k - 21461 + 22373 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 430100 divided by 107525\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*n - 4*o, 4*n - 2*o = 3*n + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*t - 6*t - 18 = 0, 4*o - t = 58. Let s(p) = p**2 - 15*p + 24. Calculate the remainder when 48 is divided by s(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -11220122?\nAnswer: -11220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -276, -436, -610, -804, -1024?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 9*f - 15340. Suppose 9*c = -c + f. Let a = 929\/8 - c. What is the common denominator of -61\/6 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 2. Let o(i) = -i - 1. Let j be o(0). Let y = 15 + j. Solve y = 2*z + 4, -l*z = 2*t - 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*t**2 + 12*t**2 + 15*t**2 + 19*t - 39*t**2 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*v - 31 = -15, 2*d + 5*v = -2. Which is the nearest to 0? (a) -5 (b) d (c) -212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 40499661292 and -0.4?\nAnswer: 40499661292.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 10. Let t be s(14). Calculate the remainder when (-2)\/(-8) + 777\/12 is divided by (t\/12*-17)\/((-5)\/15).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.18*402772\nAnswer: 72498.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/15 - u**4\/12 + u**3\/6 + 2*u**2. Let q(g) = 3*g**2 - 2*g + 1. Determine -4*k(a) + 5*q(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3367 + 593 = 10*l. Suppose 7*t - l - 451 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q**4 - 4*q**3 + 4*q**5 - 4*q + 4*q**2 - 5*q**4 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 83, 7, 4, -4 in ascending order.\nAnswer: -4, 3, 4, 7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6510*f**2 - 3272*f**2 - 3268*f**2.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -3*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1992*v**5 + v**4 + 51*v**3 + 4771249*v?\nAnswer: 39840*v**3 + 12*v**2 + 306*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*y + 35*y - 38*y to the form v + h*y and give h.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 46*a - 1137. What is the remainder when 843 is divided by y(25)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 2, v: 2, z: 2, r: 1}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 15. Let i be (-11 - (-111)\/6)*6\/(-9). Sort i, w, -55 in decreasing order.\nAnswer: w, i, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 115*o + 125. Suppose 12*d + 210 = 6*d. Let z(s) = 13*s + 14. Let n(a) = d*z(a) + 4*p(a). List the prime factors of n(19).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(96)\/sqrt(4) + sqrt(24)) + -1*sqrt(2904))*2)\/((-3*sqrt(1200)*1 - (sqrt(1200) + sqrt(1200)*1)*6)*1).\nAnswer: 7*sqrt(2)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -766 - -1557. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 1. Let q(x) = -61422*x**2 - 33*x + 24. Let c(k) = -2*l(k) - q(k). Let n be c(18). Round n to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -829 or -830?\nAnswer: -830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -4*n**2 + 0 + 2\/3*n**3 + 43*n + 1\/6*n**4 - 1\/20*n**5. Factor u(v).\nAnswer: -(v - 2)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14595 + 28454. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43125 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036 and 12950.\nAnswer: 25900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 27*q**2 + 39*q - 556. Let f be y(-29). Which is the fourth smallest value? (a) 2\/5 (b) f (c) -2 (d) 234 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**2 + 5*f + 28. What is the units digit of t(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -59. Let u = 214 + -106. What is the remainder when u is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 477045?\nAnswer: 3, 5, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1102685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**2\/8 + 296119*u\/8 + 888537\/2 = 0.\nAnswer: -12, 296179\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. Let q be ((-5)\/(15\/(-9)))\/w. Let t(p) be the second derivative of -p**4\/12 + 7*p**3\/6 - 3*p**2\/2 + 1464*p. Give t(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 2c7529?\nAnswer: 2c7530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 34, 1412, -2\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 984314.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 315?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1270 and 413512.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1931*s**3 + 6953*s**3 - 5029*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55*(104\/(-80) - 6\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 310, 391, 556, 859, 1354, 2095, 3136?\n\"Answer: 9*m**3 - 12*m**2 + 54*m + 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, j: 1, b: 2, q: 1}. What is prob of sequence bq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -75, -1\/4, -24\/11 in increasing order.\nAnswer: -75, -24\/11, -1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -334 (base 5) in base 15?\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6\/31 - 128\/341. Let j be (-14)\/(-1365)*13*10\/(-16). Which is the second smallest value? (a) j (b) k (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7*c + 5*a - 6, 9 = -4*c + 5*a. Let g(k) = -3*k - 10. Let t be g(11). Let v be ((-4)\/t)\/((-7)\/(49\/(-14))). Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179926499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 12 = -3*o, 3*j - 204*o + 20 = -209*o. Suppose -5*t = -3*d + 62, 3*d + 1 = -t + 3. Let v = t + 22. Solve -4*b + b - v = j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -0.5, -8\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*d = 29117, 4*c + 2*d = -c - 72745. What is c rounded to the nearest one hundred?\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 34*w - 340. Let l(t) = -5*t + 51. Let x(u) = 3*j(u) + 20*l(u). Let r(y) = -946*y**2 - y. What is r(x(k))?\nAnswer: -3784*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -67, -1.9, -0.4, 5, -0.3, -13\/7?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -43.759*143\nAnswer: -6257.537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 394117\/2 - 197062. Let i be (-5)\/(-6) + (-4)\/(-6). Put 5, 4, b, i in ascending order.\nAnswer: b, i, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.010821 days in minutes?\nAnswer: 7215.58224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (-1 - 3) - 1 - (3285 + -3388)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46379*v - 46384*v + 92764*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -17769583.\nAnswer: 50\/17769583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-1 - (-46 - -2))\/(0 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190, 380, 570, 760?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23112331 - -10?\nAnswer: 23113001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 - 3*v - 3. Suppose -y - 3*u = -6, 0*y - 12 = y - 3*u. Let c(p) = 46 + 0*p**2 - 48 - 2*p - 2*p**2. Calculate y*c(x) + 2*k(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -372 - -677. Suppose -2*h + 0 = -8. Suppose h*u = -3*v - 0*v + r, -72 = -u - 5*v. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 2*x - 42. Let s be 5\/(-1) + (-21)\/x - -9. Solve -1 = -2*r + s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d**5 - 15*d**4 + 18*d**2 - 18*d. Let y(i) = -i**5 - i**4 + i**2 - i. Let m(h) = q(h) - 18*y(h). Factor m(c).\nAnswer: 3*c**4*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**2 + 3. Let d(i) = 11*i**2 - 7. Let u(h) = h**3 + 5*h**2 - 19. Let j be u(-4). Determine j*d(w) - 7*g(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -192 - -251. Suppose 55*g = v*g - 1264. What are the prime factors of g?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7691*m - 3 - 7777*m + 15484*m.\nAnswer: 16*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30781 or 24931?\nAnswer: 24931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csc when three letters picked without replacement from {c: 5, s: 9}.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 9:55 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 21450.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 592490 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112538070.\nAnswer: 2, 3, 5, 563, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/143891300 and -187\/61667700?\nAnswer: 431673900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpxx when four letters picked without replacement from xddfyxxpdxxh.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -121 - -130. Let j(m) = -m**3 + 2*m**2. Let v be j(2). Let q be (25 - v) + 4 + -2. Calculate the highest common factor of c and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 7*h**2 - 4*h - 4. Let p(j) = -j**2 + j + 1. Give 6*p(o) + z(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/57 + 41015\/(-2945) + 14\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 23. Let t(z) = -z**2 - z + 14. Let l be t(0). Find the common denominator of 102\/l + v + 2 and -20\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -246 + 459 - 216 + w**3 - w**4 + 8*w**2 to k + x*w**2 + c*w**3 + f*w + i*w**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27a5412 (base 11) to base 15\nAnswer: 65452b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**3\/6 + 3*p**2\/2 - 1137*p. Let y(a) = -8*a - 20. What is -20*u(b) - 3*y(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 342 = 395. Let t = v + 280. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 46 - (-236 - -119 - -109).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16737*i + 22645*i - 4532*i.\nAnswer: 34850*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92050 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -18. Let t = 23 + p. Let u(h) = 17*h + 5. Let a(c) = 18*c + 6. Let s(q) = t*u(q) - 5*a(q). Let f(j) = -4*j**2. Calculate f(s(o)).\nAnswer: -576*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (0 - 14138)\/(-2) + -317 + 321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + 0\/(12 + -11)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.83*-14.03.\nAnswer: 11.6449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajja when four letters picked without replacement from jkasajaajs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 294805, 294822, 294839, 294856, 294873, 294890?\n\"Answer: 17*a + 294788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -26. Let x(c) = 2*c**3 + 12*c**2 + 9. Let i be x(-6). Suppose 6*n = i*n + 180. Is z smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.51 + 20. Let y = 12.49 - u. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 21 + 5 = 0. What is the remainder when 49 is divided by ((-26)\/4)\/(h\/8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**4 - 7920*a**3 - 5880600*a**2 - 1940598000*a - 240149002500 = 0. Calculate a.\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 3:55 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 468 + -463. Suppose -b*w + 2*m + 22 = -5, -3*w + 33 = 3*m. Solve 3*z = w + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 6*y**3 - y**2 + 1. Let g = 2683 + -2650. What is the lowest common multiple of x(2) and g?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 50*y + 8*y + 2*y**2 + 6 + 2 to c + b*y + g*y**2 and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 230*w = -471*w + 232*w, 121 = 41*f - 2*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2021*h**2 + 60. Let s(f) = -4*f**2. Determine t(s(l)).\nAnswer: 32336*l**4 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152088401*m + 304176802*m - 152088393*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.5 (b) -3\/4 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 11:34 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*(-4)\/8*4. Which is smaller: 52 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/12 + v**3\/2 + v**2 - 8*v. Let y(n) = n + 2*n**2 + n**2 - 4*n**2. Calculate -m(i) + 2*y(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -733, 4, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 14*w**2 + 62*w - 433. Let s be h(7). Sort -1\/5, -3, 4, s, 2 in decreasing order.\nAnswer: 4, 2, s, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61628.96 litres in millilitres?\nAnswer: 61628960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -0.0621.\nAnswer: 0.014283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 - 14 = 0. Let z be ((-1)\/3)\/(((-88)\/48)\/11). Sort z, w, 0 in increasing order.\nAnswer: w, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-3 - (-2 - 5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26696 * -7013.\nAnswer: -187219048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1\/5, 1\/5, -5 in descending order.\nAnswer: 8, 1\/5, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 8 + -8 - (-6 + -7). Solve -t*c + 10 = -10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -21*t + 8. Let m(q) be the first derivative of -4 + 0*q + 1\/2*q**t. Let c(b) = -2*b. Calculate c(m(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2496 and 19248864?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48.37247 and 0.03.\nAnswer: 1.4511741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -998*f - 5276. Calculate q(-6).\nAnswer: 712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 21\/4 (c) -0.05 (d) 13800\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/110607915 and -38\/54087.\nAnswer: 110607915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 8506*u + 8503*u + 13 - 17008*u to the form x + s*u and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 247, 974, 2177, 3850, 5987, 8582, 11629?\n\"Answer: -w**3 + 244*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6623\/7 - 954. What is the common denominator of 12 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of 4*y**5\/15 - 23*y**4\/24 - 11*y**3\/6 + 56*y**2. What is the tens digit of c(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 11. Let k(g) = -1. Calculate 5*k(v) - u(v).\nAnswer: -v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 + 2 + 1)*(0*m**2 - 15*m**2 + 7*m**2) in the form l + x*m**2 + p*m and give x.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*m - 6 = 4, -4*m = 0. Let u be (36\/3825*x)\/(4\/10). What is the nearest to 5 in u, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14008, -2, -5 in increasing order.\nAnswer: -5, -2, -1, 14008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -47. What is the nearest to 0.1 in 1\/6, p, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*x - 8. Let b be 0 + (x - (-3)\/3). Let c be (6\/4)\/((-36)\/168*1)*-1. Solve b*v - 2*n + 10 = c*v, -v + 3*n = -20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3164957.\nAnswer: 3164957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*c + 21*c + 14*c - 125*c in the form o*c + l and give o.\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.4 (b) -22\/21 (c) 20 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30893, 61831, 92769?\n\"Answer: 30938*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 393451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 3*g + 2*g)*(0*g**3 + 0*g**3 + g**3) - 2*g**4 - g**4 + 4*g**4 - 9*g**4 + 38*g**4 + 29*g**4 + 0*g**4 - 2*g**4 + g**4.\nAnswer: 59*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**6\/600 - l**5\/60 - 7*l**4\/120 - l**3\/10 - 5*l**2 - 6*l. Factor m(p).\nAnswer: -(p + 1)**2*(p + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -86, -204, -380, -620?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - 1) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 15 = -9*y. Let p(l) = l**2 + 2*l - 2. Let c(n) = n**2 - 2. Let g(x) = -c(x) + 2*p(x). Give g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/2 (b) 16 (c) 5 (d) -1\/8 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 11:58 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 223738\/11 and 20339 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1493, -3, 0, 1, 4 in decreasing order.\nAnswer: 1493, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13)*2 - sqrt(130)\/(sqrt(10)*2).\nAnswer: 5 + 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - (1 - 7)\/(-3). Suppose 3*d - 18 = 3*n, -m*d = -4*d + 3*n + 10. Suppose -3*c - 8 = -d*x - 51, c = 5*x - 4. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.268 - -0.2964. What is m rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 less than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(22)\/sqrt(2))*-4)**2.\nAnswer: -96*sqrt(11) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:12 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 699*s**2 + 14678*s - 21.\nAnswer: (s + 21)*(699*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1922*s**2 + 976*s**2 + 944*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -177 - -78. Let v = 9 - b. Let t = v + -425\/4. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3323120 (base 7) to base 6\nAnswer: 12434422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(135)\/(2*sqrt(5)) + sqrt(3267)*1)\/(sqrt(9) + sqrt(36)*2 + (sqrt(108) - sqrt(108)*2)\/sqrt(12)))**2.\nAnswer: 1587\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 - 19*t**2 - 2*t + 2. Let f(j) = j**3 + j**2 + j. Calculate -a(u) - 2*f(u).\nAnswer: -4*u**3 + 17*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-82)\/(((-15)\/6)\/5). Suppose -z - i = -5*z. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209454*h*t**3*x**3 + 2*t**3*x**3 - 6*t*x**3 - 108*t*x**2 - 11*x**2 wrt h.\nAnswer: 209454*t**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r - 1. What is the lowest common multiple of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635 is divided by 210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 10. Let t be v(-5). Let h be t\/(-10) + (-2)\/(-4). What is the first derivative of -j**2 + 5*j**h - 16 + 14 + j**2 wrt j?\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 20*b + 2. Is 7 a factor of t(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 32*y**2 + 58*y - 56. Let p be f(-30). Let v = -221\/90 - -26\/15. Find the common denominator of ((-224)\/(-216) + -1)\/(p\/(-42)) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41996902 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: Which is the third smallest value? (a) -3872 (b) -0.4 (c) 0.5 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62462 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 6*d**2 - 7*d + 3. Let k(l) = -23*l - 1. Let y be k(-1). Let p = y - 15. Let x be o(p). Solve x*n = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -326*p**4\/3 - 1264*p**3\/3 - 1144*p**2\/3 + 160*p\/3 = 0.\nAnswer: -2, 0, 20\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/28 and 69\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 19*i - 1344 = 0. Suppose 8*q - i = -0*q. Calculate the highest common factor of 24 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 102430*w**3.\nAnswer: 5*w**3*(w + 20486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 57*y**2 + 158*y - 12536. What is i(58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4\/(b**(-2)*b))\/(b**5\/(b*b*b**7*b*b))*((b**(-4)\/b)\/b**2)\/(b**4*(b**(-5)\/b)\/b) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h + 0*h + 2*h - 4*h + h + 2*h + (-1 + 1 - 1)*(h + 3 - 3) - 2*h + 3*h - 2*h + (3 + 0 - 4)*(5*h - 4*h + 0*h) + h + 2*h - h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 7474227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*s + 72 - 242 - 62 = 67*s + 18*a, 70 = -5*a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1113*l**3*v**3 - 2*l**3*v - 48*l*v**2 wrt v?\nAnswer: 6678*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5306 + 403757118?\nAnswer: 403757120.5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -117*k. Let u be t(0). Solve 0 = -2*z + 11 - 1, u = 3*p + z - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -5 (b) 2\/3 (c) -104 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/62 and 25\/120932.\nAnswer: 3748892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2439105 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 10. Let j(q) = -4*q - 9. Let i(o) = 3*o + 9. Let t(y) = -5*i(y) - 4*j(y). Let x(z) = 6*t(z) - 5*u(z). Determine x(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(4*i + 0*i + 3*i)*(2*i - 5 + 0 + 3).\nAnswer: 28*i**2 - 28*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x + 227091*x**3 + 26*x - 57*x.\nAnswer: 227091*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 8*g**3 + 189*g - 189*g - 7*g**3 - 2 in the form i*g + w*g**2 + q + d*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (4 - 56\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 290 and 285 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m. Let s(n) = -n**2 + 37*n - 155. Let v be s(29). Let r(k) = -78*k + 4 + v*k - 2. Determine r(f(j)).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 9:49 AM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -165, -151, -137, -123?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171, 333, 473, 585, 663, 701?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48505 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1198a5 (base 12) to base 6.\nAnswer: -10045525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 23 - 33. Let q = -16 + t. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -97 + 101. Calculate the smallest common multiple of (81\/54 + (-106)\/r)\/(-1) and 35.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - (-36531)\/(-621))\/((-20)\/(-46))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 9. Give g(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*k - 35*k + 44*k)*(-1 + 3 + 0)*(1 + k - 1) + (4*k**2 - 1 + 1)*(2 + 0 - 1).\nAnswer: -194*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 + (4 + 3 - 3)*(0 - 3 + 2))*(7 + 1 + 14 + (0 - 3 + 2)*(-3 + 0 + 5))*(i + 3*i - 2*i).\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.46 - 1.9. Let u = 0.14 + q. Which is the second smallest value? (a) u (b) -1\/3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 97 = -15. Calculate the least common multiple of 80 and t.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Let g = 0.268 - 1.268. What is the biggest value in -0.2, g, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1605\/32 or -51?\nAnswer: -1605\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1352 and 5?\nAnswer: 6760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q**3 + 3*q**3 - 5*q**4 + 15*q - 3*q + 26*q**2 - 3*q**4 + 10*q**4 = 0. Calculate q.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -3*i - 150. Let z = 22 + i. Is (-2)\/8 - 539\/z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*i**2 + 253*i**2 - 451*i**2 + 3 + 0 - 3.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 185056661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19874445?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-5) + (-90)\/(-150))\/(-1). What is the nearest to -0.1 in 3\/4, m, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1579 times 0.07\nAnswer: -110.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (90\/(-12) + 3)*-2. Calculate the highest common divisor of t and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427081105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -754 + 795 - (-4 + 23).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 0, 108, -18, 3, 16 in descending order.\nAnswer: 108, 16, 4, 3, 2, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**4 + 182 + 31*z - 11 + 11187*z**3 + z**4 - 11187*z**3 with respect to z.\nAnswer: 24*z**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*h + 38*h + 20*h)*(2*h**2 + 0*h**2 - 14*h**2 - 6*h**2).\nAnswer: -702*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 54, 60, 66?\n\"Answer: 6*x + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-30)*-8*15\/(-140)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4501532*g**4*x + 24495*g*x + 23*g wrt g.\nAnswer: 54018384*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(198)*1)\/sqrt(11))\/(sqrt(1296) - sqrt(1296)*-5 - sqrt(9)))**2.\nAnswer: 50\/5041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26.67 and -51?\nAnswer: 1360.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*u**2 - 40612791 + 13*u**2 + u + 40612791.\nAnswer: -22*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -29, 77 in increasing order.\nAnswer: -29, -5, 2, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 + -101. Let v be ((-12)\/9)\/(b\/(-27)). Put -3, v, -4, -0.5 in decreasing order.\nAnswer: -0.5, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 175641360 and -1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6\/3119 - 71593\/74856. Put q, -2\/7, -2 in descending order.\nAnswer: -2\/7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1940 and 2910.\nAnswer: 5820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8968907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2372700, 2372750, 2372792, 2372826?\nAnswer: 2372852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159231 = 57*g - 309936. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 17 = -0*z. Let a = -253\/15 - z. Is a less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 14*j = 3*h, 3*j = -h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.86477767 rounded to three dps?\nAnswer: -127.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - (48 - 108 - -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**5\/20 + 5*f**4\/6 + 11*f**3\/6 - 11*f**2\/2 + 3*f. Suppose -v - 5*y = -35, -9*v + 30 = -4*v - 4*y. Is 6 a factor of h(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/8)\/(3\/(-12)). Suppose -4*c + 20 = 0, 2 = -f*d - d - 5*c. Let i = -11 - d. Is i at most as big as 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**(-2))\/g)\/g**(-1\/2))**(-11\/5)*(g\/(g\/(g**(-2\/7)*g*g))*g*g*g*g\/g**10)**12 assuming g is positive.\nAnswer: g**(-4139\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*l + 29 + 16 = 0, -4*d + 3*l - 34 = 0. Let f be (-3)\/d - (-456)\/14. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/9 and 137\/108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - (-3842)\/(-170))\/(2\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -7*w**5\/60 - w**3\/6 + 7*w**2\/2 - 2. Let o(s) be the second derivative of z(s). What is the first derivative of o(d) wrt d?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013710829 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 54. Let m(i) = 2*i + 29. Let f(w) = 5*m(w) - 3*t(w). Calculate f(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 113.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2701571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-300) - 88\/55.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2169.2 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 1511680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 441 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1067441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3 + 3. Let h be 2\/(0 - 3\/n). Find the second derivative of l - 3 + l**h + 3 - 2*l wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 12*w + (9 - 12 + 22)*(-2*w + w + 2*w) + w - w - 3*w)*(-5*w + 3*w + 0*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 3*f - 5*i, 5*i + 6 - 43 = 4*f. Let j(c) = -42*c - 3. List the prime factors of j(f).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 12:16 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(80) - (sqrt(80) + sqrt(80)*1)))**2 - (5 + (-5*(sqrt(80)*2 - sqrt(80)))**2).\nAnswer: -1914 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((21\/(-28))\/(-3))\/((-14)\/(-24))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o + 13. Let g(v) = -45*v**2 - 12*v + 82. Let j(u) = 6*a(u) - g(u). Calculate j(1).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 31 + 22*i in the form h*i + f and give h.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 - 605. What are the prime factors of 4\/(-6) + x\/(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) -1\/6 (c) 10924\/11 (d) 15\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 21.05857.\nAnswer: 21.45857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 891442085888 less than -105?\nAnswer: -891442085993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707807 is divided by 1328.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {e: 7, q: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -5. Let m(t) = -t + 6. What is the remainder when m(u) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1*(sqrt(80))**2 - -4*(sqrt(135)\/sqrt(3))\/sqrt(9))*6.\nAnswer: -462 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1713*z + 14914 = 56026 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-9) - (-209)\/(-330))\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 9. Let r = -8.4 - -8. Which is the closest to r? (a) 0 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = d + 18, 5*i = -0*i + 4*d + 42. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + s**4 - 6*s**4 + (s + 3*s - 5*s)*(3 - 3 - 2*s**3).\nAnswer: -s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0*t + 3*x + 6153, -3*t - 5*x = 9228. Let q be (3\/(-9))\/(1 - (-3082)\/t). Suppose 4*v - q = -95. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(125) + sqrt(125) + 0 + sqrt(125))**2*-6.\nAnswer: -20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (11 - 24) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 285*r**2 - 5*r - 18. Let h be s(5). Let a = h + -113245\/16. Calculate the common denominator of 8\/(-20) + (-585)\/(-100) and a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 55. Suppose -2*h - 5*m = -v, m = 3*h + 6*m - 70. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156874?\nAnswer: 2, 78437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9232?\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 435 greater than 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -46*w**2 - 182*w - 29. Calculate o(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1219 - 384. Let a = -294 + s. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w + 20 = 0. Let l = 17 - 14. Which is the closest to l? (a) w (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/72 + 13\/78?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 12999 - 12980 = 3*h, 5*t + 2*h = 1 - 19 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-237)\/8)\/(2\/(144\/54)))\/((-13)\/(-26))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019977486 rounded to 3 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(209)\/(sqrt(22)\/sqrt(2)) + (1*sqrt(114)*1)\/sqrt(6).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -30342?\nAnswer: 30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/64)\/((-6)\/(-4)). Let l be 5\/6 + -3 + 2. Which is the closest to -3? (a) v (b) 2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 7*f + 2. Let y be j(-7). Suppose 2*x + 5*n = 64553, -4*x - y*n = -5*n - 129041. Let g = x - 79264. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Suppose -z = -i - 1, m = 3*i + 5*z - 1. Solve 4*t + i*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 - (-981)\/27. Suppose 4*v - n = -0*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135, -909, -3027, -7161, -13983, -24165, -38379, -57297?\nAnswer: -81591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18430 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 7, a: 2}. What is prob of sequence vs?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d - 1. Let y be s(-1). Let w(v) = -v + 0 - y + 0. Let c(b) = -b**2 + 7*b + 116. Let u be c(-8). Calculate w(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) 1 (c) -2\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 226 (b) 1\/5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - 246*g**2 - 936*g - 192. Calculate q(-119).\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 7*(-1)\/(-1). Let c(t) = -3*t**2 - t - 3. Let g(o) = -20*o**2 - 12*o - 14. Let d(r) = 7*c(r) - g(r). Give d(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010000100101010101 (base 2) to base 9.\nAnswer: -3520300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/28)\/((-72)\/126). What is the nearest to 0.1 in -44, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*u + 14213318 = 47*u + 53*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 793312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1263 less than -432948\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.21 + -0.09. Sort z, 1, 3\/2.\nAnswer: z, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1 - -1) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, o: 2, w: 2, b: 1, a: 2, n: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-270)\/(-24))*5*6*5\/(-4440).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + -1*(-12)\/3. Let m be (i\/(-6))\/(3\/9). Let u = 541\/7 + -77. Sort u, -1\/3, m.\nAnswer: m, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6554.33mg to micrograms.\nAnswer: 6554330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((-44)\/(-14) + -12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Let o be -5 + 2192\/432 - 106\/(-27). Solve -3*t = -2*q, -o*t + q = p*q + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 36. Suppose 0 = -u - 5*f - 5, 0 = 5*u + 5*f - f + o. What is the tens digit of (-2002)\/(-55) + 4\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19870 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*a - 4*a + 25, a + 5 = y. Suppose a = 17*v - 14*v - 42. Solve 4*q - v = -l, 8 = l - 2*q + 4*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 46\/69 + (-262)\/33?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2818728 rounded to the nearest one thousand?\nAnswer: -2819000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - d**3 + 24*d**3 + 22 - 31.\nAnswer: 23*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00278916639 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86054 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3740, 7489, 11240, 14993, 18748, 22505, 26264?\n\"Answer: s**2 + 3746*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/18)\/((-14)\/819)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*k + 5 = 0, -4*k = -2*r - 14 - 0. Let v be 2 - (2 + -2 + r). Let u = 87\/5 - 17. Sort u, -1, v in decreasing order.\nAnswer: v, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 + 32*o + 13. Calculate y(17).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 + 0 = 0. Let h be (l\/2 - -4)\/2. Suppose 4315 = h*t - 2*s, -4*t + 5*s = 4*s - 5760. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (25 - (-3 - -20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519482 divided by -119.\nAnswer: -519482\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u = -71948 - 10316. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 = -r, -5*n = 2*r + 5 - 25. Suppose -2*s + 0*s = -y, r*s = -5*y + 15. Solve 0 = 3*b - 2*p - 22, 11 = -b - y*p - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrrrrurtrrrtttrrtrt. Give prob of sequence rutt.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5442142536 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*l - 9 = -9. Sort 2, l, 4, -2 in descending order.\nAnswer: 4, 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 2*p - 2*p)*(105 - 122*p - 105).\nAnswer: 122*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 3\/6635273?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 take away 15415727424?\nAnswer: -15415727423.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(2835))\/(sqrt(343) + 2*sqrt(343)*3).\nAnswer: -45*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1306131346 to the nearest integer?\nAnswer: 36140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -17642*o. Let h(n) = 93*n**2 + n. Calculate h(g(m)).\nAnswer: 28945335252*m**2 - 17642*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9))**(15\/4)*(k\/(k**(-13)*k))**(8\/11) assuming k is positive.\nAnswer: k**(-1069\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.093104 hours to seconds.\nAnswer: 25535.1744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -22194322*l**3 + 20039095 wrt l.\nAnswer: -66582966*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 806.6 and 0.219?\nAnswer: 176.6454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -2 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-11 + 14 - -8) - -9.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.7 + -172. Let q = x - -11. Which is the closest to -0.1? (a) q (b) -2\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9929 - 613 = -209*f + 1529 + 1932 for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 21*r + 9. Let h(g) = 23*g - 110. Let a be h(5). Sort r, a, 97 in decreasing order.\nAnswer: 97, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (-7)\/(-3)) + (-4563860)\/(-735) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 116 - 26 = -r, -4*n - 193 = -5*r. Let v = 664 - n. Suppose 4*t - v = t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/22)\/((-24)\/(-12))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.8 (c) 24 (d) -25 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 174, 1, 4, -4, 6 in ascending order.\nAnswer: -4, 1, 4, 6, 88, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2951 to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (96\/(-80))\/(8\/20). What is the third smallest value in f, 1, -702?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/4 + 93467\/(-44)*-3?\nAnswer: 2, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-66)*-11)\/(10\/12))\/((-64)\/5760)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-3))\/((-3)\/(-18)). Suppose 2*n + 258 = 4*n + y*v, 5*n - 669 = v. Suppose -2*o - n = -3*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13510006 (base 8) to base 6\nAnswer: 145223234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, f: 9}. What is prob of picking 4 z?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 58. Suppose 1 = -2*w + 7. Let y(c) = c**3 + 4*c**2 + c + 4. Let i be y(-4). Solve -w*k + i*k = h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 9:37 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6609525 litres in millilitres?\nAnswer: 660.9525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.75 - -117.15. Let g = o + -150. Which is the fourth smallest value? (a) -3 (b) g (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(2\/13)\/x)\/x)\/x*x)\/(x*x*x*x**(1\/13)*x*x*x))\/((x*x\/x**(-1\/4)*x*x)\/x**8) assuming x is positive.\nAnswer: x**(-217\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 9 - 21 = 4*s, -40 = -2*h - 4*s. Let f(z) = -2*z**3 - 215*z - 665. Calculate the least common multiple of f(-3) and h.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 713776\/490 + (-4)\/14. Let a = z + -633754\/435. Let x = a + -8777\/1740. Calculate the common denominator of -143\/12 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nee when three letters picked without replacement from {h: 1, k: 4, e: 8, n: 2}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from fcfcfffcccfff?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472430.\nAnswer: 2, 5, 7, 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.049? (a) 34 (b) 2\/47 (c) 7\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 9 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 8. Suppose -4*z + 4 = 0, z + 0*z = -o. Sort 4, a, o in ascending order.\nAnswer: a, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36663 (base 12) to base 16.\nAnswer: 11f2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**2 + 185*v + 1090. What is i(67)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(121))\/sqrt(11) - (-4 + sqrt(132)\/(sqrt(12) + sqrt(588))))**2.\nAnswer: -17*sqrt(11) + 4203\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/152170 and 63\/2755.\nAnswer: 83845670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -43 - 47. Sort y, 3, -4 in descending order.\nAnswer: 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4214 is divided by 4187?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -416, -631, -844, -1055, -1264?\nAnswer: -1471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537909664?\nAnswer: 2, 16809677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*y**2 - 65*y**2 - y - 773*y**4 + y + (-2 - 2*y**3 + 2)*(20 - 2*y - 20) to the form l*y**3 + k*y**4 + f*y + c + h*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 0*b - 3 = 0. Is b*-4*(-26)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100020201221 (base 3) to base 4.\nAnswer: 230130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -0.002 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.928 and -388.\nAnswer: -360.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -31183, 9, -5 in decreasing order.\nAnswer: 9, -5, -7, -31183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*x**4 - 23*x**3 + 17*x**3 + 10*x**3 - 2 as k*x**3 + l*x + o*x**2 + c*x**4 + w and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 512.43013 rounded to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 291994 + 128012 = 6*j, -2*j + 2*x = -140022. What are the prime factors of j?\nAnswer: 3, 5, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 take away 19785?\nAnswer: -19784.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -662286 divided by 151?\nAnswer: -4386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, q: 1, d: 2, m: 2, y: 1}. What is prob of sequence qbm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (-1 - -9 - 21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645538, -1291076, -1936614, -2582152, -3227690?\nAnswer: -3873228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v + 30*v - 57*v - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -7*i**4\/24 + 3*i**3\/2 - 8*i**2. Let b(s) = -3*s + 4. Give 9*b(m) - 4*c(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 670774062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(26\/156)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.479291 milliseconds in minutes?\nAnswer: 0.00027465485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17100\/(-2508) - (3\/(-33) - -2*3\/22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1449 + 1555. Calculate the remainder when j is divided by 61.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20167788*f**4 - 908673*f**2 + 3*f wrt f?\nAnswer: -484026912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3703, -14894, -33545, -59656?\n\"Answer: -3730*p**2 - p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (889\/8001)\/(4*2\/1224)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -816, -3, -123 in descending order.\nAnswer: -3, -123, -816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 159390193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q**(2\/15)\/q)\/q)*q**2)\/(q*q**(-1))**(-9) assuming q is positive.\nAnswer: q**(73\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:33 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -354, -350, -344, -336, -326?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 16328*h. Let d(p) = 580*p**2. Calculate d(c(g)).\nAnswer: 154630078720*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3660*q**2 + 3*q + 3760*q**2 - 7855*q**2)*(-4 - 10 + 9)*(-1 + 0 + 0) to g*q**2 + s*q + o and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 23, 28, 35, 44, 55, 68, 83?\n\"Answer: g**2 + 2*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - d - 77 = 0, 5*d - 315 = 3*j - 286 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 19695648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w + 26 = 3*b, 5*b = 10. Let n(y) = -y**2 - 15*y**2 - w*y**2. Let h(a) = -2*a**2. Determine h(n(i)).\nAnswer: -800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13208 and 5505704?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 11 = -v + 2*v, -5*v + 31 = 2*i. Solve -i*f + 9*c = 6*c + 18, f + 2*c = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 1 + 1)*(1786*g**2 - 566*g**2 - 643*g**2) + 4*g**4 - 1 + 1.\nAnswer: -1150*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((165\/(-22))\/(-15))\/(34\/(-255)*10\/144)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 0, -2*z = -2*k - 4*z + 50. Let f = k - 20. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k + 5 - 5. Let u(p) = p. Let h(d) = 3*g(d) - 5*u(d). Let f(z) = 89*z + 88*z + 94*z - 281*z. What is f(h(q))?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*u**3 - 8 - 3*u**3 - 5*u**3 + 11*u**3 wrt u.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*v + 112*v = 266*v + 320*v - 14634 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 1 = -2*m + 63, -5*m - 5*n = -0*m - 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + (-4 - 174\/(-24)))*-4. Solve g = -3*k - f - 0, 3*k + 12 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4 = g, 17*u - 2*g - 3 = 41*u - 29*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 6. Let j(s) be the first derivative of 3*s**2\/2 - 5*s + 142. Let h(o) = 5*o - 4. Let i(l) = 2*h(l) - 3*j(l). Determine 6*i(n) + 7*t(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 44\/3*b**3 + 19 - 38*b**2 - b**4 + 36*b. Find y, given that u(y) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 2. Suppose 0 = m*r - 7 - 23. Suppose 3*q = 3*k - r, 3*k - 4*q - 12 = 7*k. Solve 2 = -a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 3*p - 27. Suppose 2*f + 27 - 1 = 0. Let a = p - f. Calculate the highest common divisor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7737 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5*u**2. Let a(s) = 2*s**3 - s + 1. Let h be a(1). Let k(z) = z + 4*z - h*z. What is k(j(b))?\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100 + (-28 - 21) + -47?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h - 14. Let v = h + 62. Suppose 2*f = -2*f + v. Solve f = p + 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k. Suppose h + 3*i - 7 = -k*h, -2*i - 7 = -h. Let w(c) = -11 + 11 - h*c + 2*c. Let o(q) = -3*q. What is o(w(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2 + 38148*b + 108686.\nAnswer: -6*b + 38148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 2\/871 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-6)\/(-1) + -6. Suppose -o = 2*j - 2, -6*j + 2*j + h = o. Let b be 4\/(-4*(-2)\/4). Put j, b, -3 in decreasing order.\nAnswer: b, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/725850 and 63\/16250.\nAnswer: 235901250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2334665497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*r - 1 = -3*g, g = -4*r - 9. Let l = -236 - -245. Suppose 0 = -2*i - 2*y - 2, -4*i + 4*y - l - 11 = 0. What is the closest to g in i, 2, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 192\/(-36) - (-1)\/3. Sort -1, k, 2.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33279 + (16 - (2 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 less than -2997863?\nAnswer: -2997819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(5) + 2))**2*-3 - (sqrt(275)\/(sqrt(5) - sqrt(5)*-2))\/sqrt(11).\nAnswer: -432 - 577*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1560 = 24*y - 168. Calculate the least common multiple of y and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 88 + -57. Let h = m - 29. Solve 5*f = 2*v + 6, h*v + 3 = v + 4*f for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 20. Suppose m = 4*m. Does 17 divide g(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -2 (b) 4\/5 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*o - 14*o + 4540. Suppose -o = -t - 4*s, 3*t - 1325 = -4*s + 2048. What are the prime factors of t?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-19)\/(-38))\/(1\/48). Suppose 3*g + 2*g + 100 = 5*d, -d = -5*g - l. What is the highest common factor of 19 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155278726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 - 135100*m**2\/11 - 2281366144*m\/11 + 4563272704\/11.\nAnswer: -2*(m - 2)*(m + 33776)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150318697035 - -501?\nAnswer: 150318697536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8613\/8 + -1075. What is the common denominator of y and (-188 - -186)*(-134)\/(-144)*-2?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 5\/7, 0.035, -3, -1\/7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 42 + (6 - ((1 - -4) + -1) - -1)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(75696\/758952*(-2)\/(-76)).\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(6*m - 41*m + 12*m).\nAnswer: 46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 64956 = 3*i - 0*i, 9*v = -27. List the prime factors of i.\nAnswer: 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a hour in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16 and 9204.\nAnswer: 9220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19420, -23911, -28398, -32881, -37360, -41835?\n\"Answer: 2*v**2 - 4497*v - 14925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-11) + 360\/165. Find the common denominator of ((-2)\/(-95))\/(128\/11840) and v\/(-8) - 209\/396.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104470, 103590, 102124, 100072, 97434, 94210, 90400?\nAnswer: 86004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23094*t**3 + 8170*t**2 wrt t.\nAnswer: -138564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.7 - 0.2. Let t = 28778.3 - 28778. What is the closest to 0.01 in 5, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 147.5 in 3\/5, 2, 0.5, -2\/11, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u - 2. Let v be q(-6). Let b be (-285)\/(-21) - 6\/v. Find the third derivative of -6*d**5 + b*d**6 + 6*d**2 + 6*d**5 - d**6 wrt d.\nAnswer: 1560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 51. Solve 2*t - d*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/6)\/((-4)\/(-8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 107630096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1166 - -39673\/34. Let v = s - -205\/238. Factor -v + 3\/7*u**2 - 9\/7*u.\nAnswer: 3*(u - 4)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/(f*f**(-3))))**(-50))**42)**23 assuming f is positive.\nAnswer: f**144900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 720, -29, -3533 in descending order.\nAnswer: 720, -29, -3533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 90070 divided by -18014\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50900237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34065174 is divided by 612?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/5)\/2*(-2)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 292 - 118. Let c = j + -146. Calculate the remainder when 501 is divided by c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3 - -7)\/(786 - 567)\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -282\/246119?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-14 + -2 + 9 - -6 - 0)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -17*w - 568. What is d(-27)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 298154.9 years?\nAnswer: 2981.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -143033*c**2. Let o(g) = -2*g. What is u(o(m))?\nAnswer: -572132*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-137328)\/257490)\/((-1)\/45)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 776101915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 1 - 1 + (3 + 0 - 4)*(2*q**5 - q**5 + 0*q**5) - 2*q**5 + 0*q + 0*q - q + (-2*q - q**3 + 2*q)*(q**2 + 2*q**2 - q**2).\nAnswer: -3*q**5 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -186 - -203. Calculate the remainder when 100 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 19023*a + 9487*a + 1 + 40187*a + 38541*a)*(-3*a + 5*a + 0*a) as q*a**2 + j + n*a and give q.\nAnswer: 214476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 - 2 + 2 + 584*v + 157*v to w + z*v and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 987 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291977934.\nAnswer: 2, 3, 2903, 16763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + 233. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -120?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*s - 6. Let i = 10 - s. Let k be (-4 - -1)\/(3\/(-6)). What is the greatest common divisor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538812157.\nAnswer: 13, 41447089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:53 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 (base 7) in base 12?\nAnswer: -14b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/31))**11\/((u\/u**(2\/15))\/u**(-13)) assuming u is positive.\nAnswer: u**(-6118\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23397922 + -572?\nAnswer: -23398494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2746 + 1467. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.92 + 1.52. Put -2\/7, k, -5, 1\/3, 0.5 in decreasing order.\nAnswer: 0.5, 1\/3, -2\/7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106 + (-2020 - -2054 - (-1 + 37)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21395, 43381, 65367, 87353, 109339?\nAnswer: 131325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45693082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 8:05 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6490.566 micrometers in meters?\nAnswer: 0.006490566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110378 and 458.\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13221101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 2 + 2)*(1 - 4 + 1)*(19 - 19 - 86*k) - 6 - 4*k**5 + 6 + (0*k - k - k)*(-2*k**2 + 2*k**4 + 2*k**2).\nAnswer: 164*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -21*l + l. Let i(j) = -193*j + 1. Let c be i(-1). Suppose 4*w = c + 38. What is the remainder when w is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1039 divided by -22.\nAnswer: -1039\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2 - 10. Let f(k) be the second derivative of -1\/20*k**5 + 0*k**s + 0 - 1\/2*k**2 + 0*k**3 + k. What is the derivative of f(n) wrt n?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 513 + -1413. Suppose 2*t = -4 - 2. What is the units digit of (t\/5)\/(4\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 54*g**3 + 2*g**2 - 3*g + 2. Determine p(1).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 - 7*j + 2. Let i(p) = 3*p + 2. Let c be i(-2). Let x(h) = -2*h**2 + 6*h - 1. Let l(f) = c*d(f) - 5*x(f). Determine l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 3. Let f(a) = 15*a + 6. Give 3*f(i) + 7*z(i).\nAnswer: -4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 3}. Give prob of picking 3 d and 1 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {v: 5, c: 3, l: 6, q: 1, a: 3, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*y - 3873 + 2201 = 7*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.2, -444, 0, -6071, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3 - 21917*h**2 - 734*h + 57?\nAnswer: 18*h - 43834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/244907515 and -13\/2.\nAnswer: 489815030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o**5 + 456934*o**4 + 5824752*o**3 + 8222854*o**2 - 6966820*o - 7537728 = 0. What is o?\nAnswer: -57104, -11, -2, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59825047?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 367*k**5\/5 + 8*k**2 + 4*k - 1129. Find the second derivative of b(w) wrt w.\nAnswer: 4404*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 79*d + 637. List the prime factors of v(12).\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 42 - 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 79268115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 11*g**2 - 9*g + 10. Let x be p(-10). Let s be -31 + (-4 + 3 - x). Let y = s + 83. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8*y**2. Let j(m) = 3*m**2. Suppose 2*c = u + 2 + 1, 23 = 2*c + 3*u. Let s(l) = c*f(l) - 11*j(l). Let w(a) = a. What is w(s(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*l = 49*l + 673*l - 2457 - 11126 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 36999 (b) -47 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:22 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:34 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80663431*f**2 + 59003*f - 654.\nAnswer: 161326862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 43, 118, 233, 394, 607, 878?\nAnswer: 1213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) + (-26)\/(-6). Let x(i) = -2*i**3 - 38*i**2 + 12*i + 4. Let t(h) = h**3 + 27*h**2 - 9*h - 3. Let l(o) = 3*t(o) + 2*x(o). Determine l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - -4) + (-1 - -5). Let n be (6\/d)\/(2\/60). What is the highest common divisor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.09, -0.3, -138, -3, 0.45 in descending order.\nAnswer: 0.45, 0.09, -0.3, -3, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1485993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443 = -2*y + 5*l - 445 + 899, -5*y - 4*l + 11 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-24)*(39 + -24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174973.7 millennia in decades?\nAnswer: 17497370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (52\/2)\/(((-30)\/(-4))\/((-22)\/((-726)\/99)))\nAnswer: 52\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, 3, 29, 67, 117, 179?\n\"Answer: 6*q**2 - 4*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*w**2 - 55*w**2 + 157*w**2)*(3 - 4 - 8)*(2*w - 2*w**2 - 2*w).\nAnswer: 900*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let z(g) = 14*g. Give 6*h(y) - 2*z(y).\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 + 7*h**4 + 24*h**3 - 7*h**2 - 49*h\/2.\nAnswer: h*(h - 1)*(h + 1)*(h + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.627536ns in weeks?\nAnswer: 0.000000000000845945","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105233, -105263, -105307, -105371, -105461, -105583, -105743, -105947?\nAnswer: -106201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - y + 3*z - 6 = 0, -5*z = 2*y + 25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/4 - 3*r. Let q(y) = 4*y. Determine o(q(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 4*u + 5. Let i be g(-3). Determine v so that -18*v**2 + 20*v**i + 282*v - 167*v + 30 + 25*v**3 + 108*v**2 = 0.\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 divided by 118?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from {b: 9, o: 11}?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1 = 2. Let i = 77 - 54. Suppose -i = 5*k + 2. Sort k, -3, m in descending order.\nAnswer: m, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 + 0*a**4 - 4*a**4)*(57*a - 19*a - 25*a) - 2*a**5 - 3*a**4 + 3*a**4.\nAnswer: -28*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 4*z - 3. Let l(w) = 2*w**2 - 5*w + 4. Determine -2*l(d) - 3*x(d).\nAnswer: -d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56697453 to the power of 1\/2, to the nearest integer?\nAnswer: 7530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.41148l to millilitres.\nAnswer: 1411.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 47 = 127. Let g = b - 6. Calculate the greatest common factor of g and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-140)\/(-21) - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/10 + 4\/14 + 91152\/11816\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 71 and 204409.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 - -7.7. Let n = 5838 - 35029\/6. Put n, y, -0.5 in ascending order.\nAnswer: -0.5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7338*z - 1416214. Calculate n(-193).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2510606 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.771 rounded to 1 decimal place?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 2:38 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**4\/4 - 5*z**3\/3 - z**2 + z + 1. Let b = 6 - -3. Suppose 2*h + 9 = y, -2*y - 3*y + b = -h. Give o(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f, -5*r + 2*f + 9 = 4*f. Suppose r*u - 68 = 10. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -96? (a) 0.4 (b) -46 (c) -1.2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7871 - -9689. What is the least common multiple of 28 and p?\nAnswer: 25452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1158684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x. What is p(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*u + 7*u. Let x be (5\/((-60)\/u)*12)\/(-1). Let r = -52 - x. Solve 0*z = 3*v - 4*z - 5, -v + 9 = -r*z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 892592 + -273942. Let u = -618650.01999999 + x. Let s = u + 0.02. Round s to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24236569602.7045 and 1.\nAnswer: 24236569603.7045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 21024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 4*v**4 + 106\/21*v**7 + 0*v**5 + 0*v**2 + 0 - 144*v + 0*v**3 + 0*v**6. What is the third derivative of l(n) wrt n?\nAnswer: 12720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7007 - -9828. Suppose -1744 = -11*w + g. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43957835 divided by -517151.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by -88.\nAnswer: 145\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62 times 141.56\nAnswer: 8776.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-8*o + 23 - 23) - 6 - 6*o + 6.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/118545 and -22\/273?\nAnswer: 1541085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*h - 63 = 0, -3*i - 4*h - 41 = -6*i. Let u = -24 + 45. Suppose -16*s + u*s = 275. What is the highest common factor of i and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9244371 divided by 5?\nAnswer: -9244371\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -2. Suppose -b + 0 = h. Suppose -x + 3*w = 11, -3*w - 13 = x - 7*w. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -258*r. Let d(w) = -37*w. Let c(s) = 15*d(s) - 2*y(s). Let h(a) = 2*a. Let q(m) = -c(m) - 18*h(m). Let g(p) = -4*p + 5*p + p. Give g(q(i)).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 239914799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c, -r = -0*c - 3*c + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + 3 + -1*sqrt(1584))**2*-5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (334 + -1)\/(6\/248 - 0). Let l = h - 9277. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-155)\/(-15)*(-5)\/((-80)\/(-12)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 13*n - 15. Let g be d(-5). Suppose g*t - 11 = -3*t - 4*f, 2*f = -3*t + 7. Solve -5*r - 4*k - t = 15, r + 1 = -3*k for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(252) + -2 - (sqrt(252) - (1 + 2 + sqrt(252))) - (sqrt(252)*2 + 3 + (sqrt(252) - (sqrt(252) + -1 + sqrt(252)))*-4)*6)**2*5.\nAnswer: -21000*sqrt(7) + 1544000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 123*z + 1191. Calculate v(-10).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*k - 46 + 8, 2 = j - k. Suppose i - 4*f + j = 0, 0 = -5*f + 2 + 23. Calculate the smallest common multiple of i and 2\/(-5) - (42\/(-5))\/1.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5ba3b (base 12) to base 11\nAnswer: -85327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.84*-0.1266\nAnswer: -0.486144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9889500 - 20916292988\/2115. Let z = c - -2\/235. Sort 5, 4, z in ascending order.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72532, 145661, 218774, 291871?\n\"Answer: -8*j**2 + 73153*j - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227 is divided by 231.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 503866 a multiple of 619?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -239*0.116\nAnswer: -27.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53\/18 - -13\/18. Let b(w) = -567*w + 1. Let x be b(4). Let u = 4439\/2 + x. What is the common denominator of u and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 - 9. Let s = -38.000095 + r. What is s rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1979931 and 492?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2164.2 + -19.8. Let q = 2184.1113 + s. Round q to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2221464318?\nAnswer: 2, 3, 97, 449, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2842957901 and 3598.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 7. Let l = -0.2 - 0. What is the smallest value in l, w, 1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5052803?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 s when four letters picked without replacement from {k: 6, r: 2, f: 1, u: 1, s: 3}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 0*7\/(-24 - -3). Solve 3*m + h*g + 6 = 0, 0*g - g = 4*m + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9)\/d)**9*(d\/(d*d**(-2)))**(1\/12) assuming d is positive.\nAnswer: d**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (10 - 6)) + 2 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w - 5*c = -88*w + 30, 5*w + 3 = 4*c for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -117567 - 11*n + 16*n + 117573. Let d(x) be the second derivative of -1\/2*x**2 + 0 + 2*x. Calculate -4*d(j) - h(j).\nAnswer: -5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 31, 32, 35, 40, 47?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 4*b**2 + b + 1. Let t(d) = -9*d**3 - 5*d**2 - 3*d - 2. Determine 2*p(f) + t(f).\nAnswer: -7*f**3 + 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5694 and 12012?\nAnswer: 876876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -101, -188, -313, -488, -725, -1036?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 6 + 38 + k**4 - 3*k**2 + 33 - 2*k**3 - 11 in the form z*k**2 + s*k + w*k**4 + d*k**3 + m and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, z: 3, o: 1, i: 6}. What is prob of picking 1 t and 1 i?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 471028 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.4 - -1.1. Let t = 12 - v. What is the smallest value in 0.2, t, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 7 = -t, -7*t + y = -2*t - 13. Solve -14 = -3*o - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14137188\/19 or -744062?\nAnswer: -744062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 = -5*b, -r - 2*b + 74 = 4*r. What is the remainder when 4\/(2 - 30\/r) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177 a factor of 42991396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**5)\/((n**(2\/3)\/n)\/n)*(n*n*n*n**2*n*n)**(-21))\/(n**(-9\/2)*n*n**(-11)\/n)**(-23) assuming n is positive.\nAnswer: n**(-3037\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 11*m + 6. Determine p(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -94, 0.2, 2, -15 in ascending order.\nAnswer: -94, -15, -2\/5, 0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(10*u - 13*u - 7*u + 0*u - 4*u + 2*u + (1 + 5 - 4)*(5 + 2*u - 5) - 2*u + 3*u + 0*u) to w + h*u and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509406822 a multiple of 1962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*l**2 - 1 - 9*l**2 + l + 0 + 0 in the form g*l + q + r*l**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20.3392183 from -1701876.\nAnswer: -1701855.6607817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-140)*(-8)\/(-3). Let o = 0.31 + -0.11. Sort o, 1, x in descending order.\nAnswer: 1, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/((-36)\/(-144)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.8 - -15.1. Let c = -6 - -3. Is c at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*s = -2, -x + 0*x - 4*s + 16 = 0. Let g(w) = 16*w - 4. Let q be g(x). Let p = 7 + q. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 911606.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 + 30*g - 693.\nAnswer: 3*(g - 11)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 4 = 5*f - 3*c, 0 = 35*f - 86*c + 82*c - 155 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(2*x + 2 - 2 + (-2 + 2 - 1)*(-2*x - x + 2*x) + x - x + 3*x) to y + f*x and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**19*x**21)\/(((x**(1\/5)\/x)\/x)\/((x*x**17*x)\/x)) assuming x is positive.\nAnswer: x**(114\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**2*x)**(-26))**(1\/26))**15 assuming x is positive.\nAnswer: x**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95 + 155. Calculate the greatest common factor of 50 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j - 1. Suppose -4*q + 15 = 19. Give b(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6450 and 5880.\nAnswer: 1264200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014373 to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 8382.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97 - 105*b**3 + 18 + 174 - 27.\nAnswer: -105*b**3 + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 580 (base 12) to base 3\nAnswer: 1010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235297*a + 235297*a - 210*a**2 + 651*a**2.\nAnswer: 441*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 - 6*u + 16. Determine i(-8).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.418286953 + 6.518286215. Let f = -6.1 + v. What is f rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 33 = -9*k + 4*k, 0 = -4*k + 4*z + 52. What is the highest common factor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/11*6\/(-15)*(-7992)\/(-3996)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 684 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 16 = -3*y - 3*s, -20 = 2*y - 4*s. Let z = 11 + y. Suppose -4*g = 4*k - 29 - 19, 4*g - z*k = 93. What is the remainder when g is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.08, 20 in decreasing order.\nAnswer: 20, 4, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k. Let a(r) be the second derivative of r**6\/180 - r**3\/3 + 2*r**2 - 17*r. Let g(t) be the second derivative of a(t). What is x(g(q))?\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 27, 44, 63, 84, 107?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2512, 5599, 8686?\nAnswer: 11773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 41 = -3*v, -3*v + x + 44 = -0*x. Let o be 245\/v - (-2)\/(-6). Suppose 3*u = u + o. Calculate the least common multiple of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-180)\/(-25))\/((4 + -8)\/(-20)). Suppose 0 = -5*i - 7 - 163. Let m = y + i. Solve d - 3*d - 4 = -m*h, 2 = -3*h - d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 1 + ((-1)\/4)\/((-37)\/(-148)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 2. Let a be (o\/4)\/(1\/(-12)). What is the second derivative of -2*r**2 + a*r - 4*r + 2*r wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/3396 and -24\/4835.\nAnswer: 16419660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 137 and -1101630.\nAnswer: -150923310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**3\/2 + 807*z**2\/2 + 52197*z\/2 - 281535\/2 = 0?\nAnswer: -137, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -1053?\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/5 - 4*q**3 + 1534*q**2\/5 + 2596*q + 4935 = 0.\nAnswer: -47, -5, -3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 22 + 82)*(2*f**3 + 0*f**2 + 0*f**2).\nAnswer: 136*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4877*m - 1710 = 4887*m. Let v(d) = -28*d**3 - 6*d**2 - 2*d - 4. Let l be v(-4). Let f = m + l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - m**4 + m**4 + (m - 5*m - 13*m)*(-2*m**3 + 3*m**3 - 3*m**3) in the form z + h*m**3 + t*m + i*m**2 + g*m**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/29))**(-1\/38))**(-11))**49 assuming r is positive.\nAnswer: r**(-539\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 18*d + d)*(-3*d - d - 2*d) - 2*d**2 + d**2 + 0*d**2.\nAnswer: 71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19872 divided by 12.\nAnswer: -1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 13*h - 28. Let o be f(-10). Let n be (-11)\/22*(-12)\/o. Solve q - 4*q = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 + 50. Factor 0*n**2 + 129*n + n**t - 131*n.\nAnswer: n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -21*t + 2449*t**5 - 12*t**4 + 8*t**2 - 3*t + 18*t**3 - 2447*t**5 = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*(279\/27 - 10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77.3 - -77. What is the biggest value in 1\/2, b, 6, 3, -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*f - 2*f - 196, -10 = -5*f. Suppose h + 77 = o + z, -513 = -3*o + 5*z. Let t = -120 + o. Is t a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/24)\/((-6664)\/544).\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/8120 and 37\/17400.\nAnswer: 121800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 3*f**3 + 2*f**3)*(4 - 4 - 3*f) - 5*f - 27*f**4 + 5*f.\nAnswer: -30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106325 divided by 825?\nAnswer: 1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*t**2*u - 16444998*t**2 + 2238355*t*u**2 - 2*u**2 wrt u.\nAnswer: -3*t**2 + 4476710*t*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c - 3*c)*(-2 - 4 + 4)*(9 - 13 + 31)*(-2 + 0 - 1)*(0*c - c - 7*c).\nAnswer: 1296*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f + 2. Let n be z(3). Suppose -19 = 3*o + 4*p, 5*o - 3*p - 3 = -p. Put -5, n, o in descending order.\nAnswer: o, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 10*t - 126. Which is greater: t or -64\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/52*(-22 + 2). Solve v*s + 13 = b, -7*s - 5*b - 25 = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 3 - (102 + -115).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5040 and 480.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -976 = 4*t + 716. Round t to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by 5\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)*1*-5 - sqrt(57))\/(2*(sqrt(3) - sqrt(48) - sqrt(3)) - sqrt(3)))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69345358.3 + -0.239.\nAnswer: -69345358.539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 6*p + 1 + p + 129*p**2. Let k be q(1). Suppose 3*c - k = 32. What is the remainder when c is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 2) + 0 + -4. Let i(y) = y**3 - 12*y**2 + 12*y - 11. Let q be i(11). Let z(t) = t + q + 2 - t**3 + 0*t**2 - 4*t - 3*t**2. Determine z(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.99106327 rounded to three dps?\nAnswer: -0.991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 5 (c) 2\/17 (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 - -111031303?\nAnswer: 111032000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3 - 15*j**2 + 47*j - 33 = 0.\nAnswer: 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -4*u**2 - 6*u - 1. Let r(x) = -2 + 0 - x + 1. Let n(m) = -6*r(m) + w(m). Let o(q) = -q. What is o(n(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -241*(1 + (-16)\/8). Is n less than 961\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40700, 81375, 122024, 162647, 203244, 243815?\n\"Answer: -13*h**2 + 40714*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-792)\/480)\/(-11))\/(6*(-2)\/(-8))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5905290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4726, -9550, -14374, -19198?\nAnswer: -24022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3845.02451 - -3845. Round l to 3 dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*2 + 4 + -4)*-4 + (1 + 2*sqrt(288) - 4*(2 + sqrt(288))) + 1)**2.\nAnswer: 1440*sqrt(2) + 28836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4589371 and 2621?\nAnswer: 4589371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16410 + 32573 + 2*r + 14768.\nAnswer: 2*r + 30931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 456 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 14*v + 1. Let r(n) = -n**2 - 1. Let i(p) = 2*r(p) - y(p). Let a be i(-11). Let f(u) = -6*u + 36. Let w(k) = k - 5. What is a*w(t) - 5*f(t)?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 5*q - 2, 127*i - 126*i + 4*q - 4 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -1, 40, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -46226 less than 342?\nAnswer: 46568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/150*6\/(-9))\/((-2)\/30)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344283 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15607299*j + 19498052?\nAnswer: -15607299","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 r when two letters picked without replacement from {n: 1, r: 1, e: 1, m: 4, z: 4, k: 7}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -557, -842, -1129, -1418, -1709?\nAnswer: -2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 26*s + 198. Suppose 0 = 5*a - 0*r - 3*r - 181, 6*a = 3*r + 213. Determine c(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 4*m**2 - 4*m + 5. Let d be v(-5). Solve -q**2 - 3 + d*q**2 - 3*q + 4*q**2 + 3*q**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233988 at most as big as 1233992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 l when three letters picked without replacement from gllxlqkkxxkkktt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 22781132 and 22781134 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from ioolllg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129.78705629 + 1.21295901. Let s = 131 - m. What is s rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891213 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 651022.043 rounded to the nearest 10000?\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyr when three letters picked without replacement from yrrrrryryrrrrrrrryry.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -550*z**2. Let y(h) = 731*h**2. Calculate y(k(f)).\nAnswer: 221127500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 704*z - 2784. Let x be f(7). Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c = -n + 636, -c = -3*n - 656. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1113142415.\nAnswer: 5, 7, 11, 41, 97, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 296 in increasing order.\nAnswer: -1, 3, 296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223226 and 755606?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (6 - -5) + -4 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95233.12 litres?\nAnswer: 95233120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + ((-22)\/14 - -14*(-2)\/7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + -53. Suppose 5*k = l*d - 425, 2*d - 198 = 4*k + 88. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/57 (b) 17329 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:48 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cagec. What is prob of sequence ce?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 14. Let u = -39 + 32. Let o be w(u). Suppose j - 68 = -3*l, o = -3*l + 2*l + 4*j + 1. What is the remainder when l is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 1, -3*s - 2*n - 2 - 12 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -190\/47 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3))\/(((-168)\/28)\/(-90))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Suppose -4*v - l - 16 = 0, -7*v = -5*v + l + 8. Let m(x) = 2*x + 10. Let g(k) = v*n(k) - m(k). Differentiate g(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 22466?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 6 = -4*c. Suppose 2*y - 476 = -4*d, 3*y - 3*d - 59904 + 59154 = 0. Calculate the greatest common factor of c and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 19*c + 135670. Determine a(378).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 116 + -115. Let j = 1 + -3. What is the biggest value in k, 5, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -964*z**3 + 9*z**2 - 3*z + 1. Is c(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 73 = -69. Let q = n - 50. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 453*d + 193. What is the tens digit of h(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) 1\/8 (c) -13 (d) -82 (e) 0.4 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -25, 2\/3, 3, 3\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*b - 5*j - 37, 5*b + 18 - 1 = -2*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 228186 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -912*l**4 - l**2 + 2720 with respect to l.\nAnswer: -3648*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7238 divided by -2\nAnswer: -3619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + 342\/30. Solve s = 3*o - h, 4*s - 7 = o + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 4404909.\nAnswer: 10\/4404909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 2*x - 4*x)*(-368*x - 112*x + 1143*x) to i*x**2 + s + n*x and give i.\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8824278 by -3.\nAnswer: 2941426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-56) + (-47)\/7)*1. Let x(t) = t**3 + 9*t**2 + 6*t + 41. Is 16 a factor of x(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93 is divided by 61.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2. Let u = -54 + 111. Let r = -23 + u. Let v(b) = 14*b - r*b + 24*b. Determine i(v(n)).\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*t + 21*t + 23*t to the form c + n*t and give n.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (152\/(-20))\/(6\/30). Let m = 51 - j. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 365*r + 16. Let h(w) = -287*w**2 + 877*w**2 - 310*w**2 - 278*w**2. Give q(h(n)).\nAnswer: 730*n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 5*x**2 + 4*x + 2. Let t be u(6). Let k = -106 - t. What are the prime factors of k\/(-18)*(-9)\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322728337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4120951 (base 10) in base 9?\nAnswer: -7670784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 5*a + 3 = 0, -x - 5*a + 7 = 0. Suppose 86 = 3*p - 5*m, -x*m - 16 = -p + 14. What is the greatest common divisor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 6:57 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/((-10240)\/(-5040) - (-18)\/(-567)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 4. Let g be q(-3). Suppose 5*c - 70 = -5*m - 0*m, m = -2*c + g. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2757, 5518, 8281, 11046, 13813?\nAnswer: 16582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1\/5, 44\/3, 4, -1\/3, -5\/3 in ascending order.\nAnswer: -5\/3, -1\/3, 0.1, 1\/5, 4, 44\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*g**2 - 482*g**2 + 51*g**2.\nAnswer: -502*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -312, -443, -684, -1035, -1496?\n\"Answer: -55*b**2 + 34*b - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 25 (b) 2\/5 (c) 1\/5 (d) 3 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 36013402, 72026797, 108040206, 144053635, 180067090, 216080577, 252094102?\n\"Answer: w**3 + w**2 + 36013385*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 + 514*k**2 - 704*k - 696.\nAnswer: 2*(k - 2)*(k + 87)*(3*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 1041?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -10 + 3 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + 53. Calculate the smallest common multiple of 11 and z.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 11*z**2 - 34*z + 249. Give b(8).\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3714 - 4968 = 66*n for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 3. Let q be h(3). Suppose q*k = -k + 10. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 24*i**3 - 21*i**3 - 40*i + 16*i**3 + 40*i.\nAnswer: 19*i**3 + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 5*k + 2. Let d be y(-5). Solve 4*v = -5*g + d, -5*v + 18 = g - 0*v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 - (-20 + 10 + -10356 + -3). Is m less than 10374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 653.2875 centimeters?\nAnswer: 6532.875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3421 + -3419. Which is the closest to q? (a) -5.8 (b) -1\/4 (c) -0.3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5883 and 1325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 102\/165 - (-2)\/11. Determine k, given that 2\/5*k**2 - 2\/5*k**4 - 4\/5*k**3 + j*k + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1774*b**3 - b**2 - 361*b - 18.\nAnswer: -10644*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4011807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3152788 and -17\/4728.\nAnswer: 18916728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23203663 (base 7) to base 4\nAnswer: 13300311013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/40 and 43\/132?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 4. Let l be m(6). What are the prime factors of (-273)\/(-6) + 1\/l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308, -286, -252, -206, -148, -78?\n\"Answer: 6*h**2 + 4*h - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 + 36*b**2 - 32*b + 256. Calculate m(7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*f + 271*f + 6011 = 415*f - 4384 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z - 51*z = -20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 45*f - 49. Let y be t(3). Suppose y*z = 88*z - 6. Solve -6*i + z = -3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*r - u, 650*u + 77 = 5*r + 645*u + 22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 - 4 = 0. Let v = -3 + j. Suppose v*u - 1 - 1 = 0. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5744, -10429, -15114, -19799, -24484?\nAnswer: -29169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -24. Let q = j + 4. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.4, 9103.3, -0.01, 3, -1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1212202405 (base 6) to base 10\nAnswer: -13826309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j - 5. Let r(c) = -c. Let b(q) = 3*q + 2. Let l(v) = -b(v) - 6*r(v). Let x(a) = -10*l(a) + 4*n(a). Let t(p) = 2*p. What is t(x(d))?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(119)*-4)\/((sqrt(3087)*2)\/sqrt(9)).\nAnswer: -36*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*u - 185*u = -5*n + 169, -5*n - 55 = 5*u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 20 = y, -2*l - 16*y = -18*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(4\/14 + (-408)\/(-42)). What are the prime factors of (-2 + z\/(-6))\/((-9)\/54)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 2:19 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.51 times -36?\nAnswer: -1566.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -j + 2*w, 33*w - 31*w - 8 = 4*j. Which is the nearest to 0? (a) j (b) -4 (c) -9\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-10)\/4)*-20. Let n = -9.86 - -13.86. Is n >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 5*i - 1. Let y be g(-4). Suppose k + y = -2*a - 2*k, a = -2*k - 8. What is the derivative of 3 - 1 + 1 - 6 - 3*j**a wrt j?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -9*j - 74. Give b(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 5*k - 2. Let h(m) = -2*m - 4 - 4*m - m**2 + 0*m + 0. Let i be h(-4). Let b(s) = 4*s**2 + 4*s + 1. Determine i*b(g) + 3*q(g).\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16536 divided by 424\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 38 in ascending order.\nAnswer: 0, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/6 + 2086*k. Let j(y) be the second derivative of 0 + 0*y**2 + 0*y**3 + 11\/6*y**4 - y. What is j(i(w))?\nAnswer: 88*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w + 15*w = -60. Solve w = 8*c - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 9*s + 4. Let x(u) = 2*u**2 - 17*u + 4. Let g(r) = -1. Let l(b) = -5*g(b) + x(b). Let q(v) = 3*l(v) - 5*n(v). Is q(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(19\/((-114)\/(-12)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -244, -603, -1202, -2041, -3120, -4439?\n\"Answer: -120*n**2 + n - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5446 divided by 778.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/968 and 59\/61842.\nAnswer: 2721048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -k - c, -k + 123*c - 120*c - 2 = 0. Sort k, -1, 16 in decreasing order.\nAnswer: 16, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -14. What is the nearest to r in -1, 4, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 11:46 AM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42560 and 14973520.\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629652 divided by -8.\nAnswer: 157413\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 z when three letters picked without replacement from {c: 1, l: 3, g: 7, z: 2, t: 4, w: 1}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -w**4\/20 - w**3\/15 + 17*w**2\/10 - 3*w - 281. Solve h(n) = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d. Suppose i = -d*i - 2*k + 16, -3*i - 4*k = -46. What is the greatest common factor of 112 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 59 in -2, 2\/5, 19, -1?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 18*c - 11. Let j be h(17). Let f(i) = -347*i + 0 - j + 344*i. Let p be f(-2). Solve -8*o + 3*o = p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 476.5 - 476.2. Let d be (2 - (-15)\/(-7)) + 0. What is the nearest to -3 in -5, d, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -5 - (2 - -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 0.2. Let c = 0 - j. Let s = -756\/5 + 152. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402\/(-335)*(5\/10)\/((-2)\/(-2))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 543 and 13213.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 864 - 727. Factor -96*z**2 - 30*z**3 + 27*z + 14*z - 3*z**4 - s*z.\nAnswer: -3*z*(z + 2)*(z + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18417710 rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 27*h + 55 = 0. Suppose -30 = n - h*n. Solve -n*p = 2*z + 4, -5*p - 3*z + 2 - 10 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 15, 6*h - 30 = -a + h. Suppose 0 = -w - 1 + 3. Suppose w*c + 19 = 4*l + a*c, 4*l - 11 = 5*c. Solve -25 + 9 = l*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**2 + 63 + 4*s**2 - 15 as i + j*s**2 + y*s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 17 - 16) + -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-2 - (-1)\/(-3)). Let c be (-26)\/y + (-6)\/21. Let g(o) = 7*o**2 + 6*o + 5. Let d(x) = 4*x**2 + 3*x + 3. Let b(z) = 5*d(z) - 3*g(z). Calculate b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21443.06 + -21443. Which is the closest to -2? (a) 0.6 (b) 0.2 (c) 8 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*u**3 - 2*u**2 + 147*u + 1267?\nAnswer: -6*u**2 - 4*u + 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 988 = -191. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(4 - -7) - -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1951327 and 5831.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-4)\/2)*29. Let s = 45 + x. What are the prime factors of -1 - s*(3 + -5)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 - 84745\/(-30) - 2\/(-12)?\nAnswer: 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -56856 (base 11) to base 13.\nAnswer: -2b568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 968457 and -2.\nAnswer: -1936914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(-36)*12\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692199.\nAnswer: 3, 31, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0239*-5\nAnswer: -0.1195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((350\/20)\/35)\/(1\/18*-4)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -84 + 88. Suppose -4*w + y = -2*w. Solve -p - 15 = w*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -214953559 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2\/3 - 263149004*d\/3.\nAnswer: 4*d*(d - 65787251)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtatpptadattatt. What is prob of picking 1 d and 1 p?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1072 and 1904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 4*v**2 + 7*v - 3. Let j be y(5). Let u = j + -7. Suppose -4*b + u*b = -3*a + 32, 0 = -a + 4*b + 8. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5*35 - 15. Let c be (-17)\/2 + (-2)\/(-4). Sort s, c, 4 in decreasing order.\nAnswer: 4, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4220161, -8440339, -12660535, -16880749, -21100981, -25321231?\nAnswer: -29541499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2453250 (base 6) to base 8.\nAnswer: 401076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -19*h**2 - 1576*h + 97. Give t(-83).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*sqrt(80) - ((sqrt(80) + (sqrt(80) + 3 - sqrt(80)) - sqrt(80)) + sqrt(80))*6)**2 - ((-2 + sqrt(80))**2*-4*2 + 5).\nAnswer: -992*sqrt(5) + 3871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1446 + -5785\/4. Suppose 0 = 2*i + 6 - 8. Which is the closest to i? (a) -0.18 (b) m (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 3216379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13844 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006422711 rounded to six dps?\nAnswer: 0.006423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 11) to base 13\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 81884, 163764, 245642, 327518?\n\"Answer: -b**2 + 81883*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/33)\/(((-13468)\/(-407))\/52).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -21884 = -9321?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 178*j - 1513. Let d be x(9). Let a(w) = w**2 + 6*w - 5. Let n be a(-6). Is (-1)\/(-1) + n + d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0635 - 270.9365. Let f = 271 + w. Which is the closest to f? (a) -0.3 (b) 1\/29 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -6*i - 52 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55568 and 151.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 382160 and 6186215?\nAnswer: 98979440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 299\/91 + (-4)\/14. Solve -w - 3 = 2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 3*s + 488. Let q = -209 + s. Let k = 133 + q. What are the prime factors of k?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.02 + -43. Let t = 1.8 - 2. What is the nearest to -0.1 in q, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5487957, 5487944, 5487921, 5487888, 5487845, 5487792?\n\"Answer: -5*l**2 + 2*l + 5487960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17567 divided by 4.\nAnswer: -17567\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ky when two letters picked without replacement from yky?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/12 - 2*b**2. Let n be y(1). Solve -n = -g - 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = 5*u + 2. Let k be (u\/25)\/(2\/(-5)). Put k, 5, -4 in increasing order.\nAnswer: -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:25 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 + 7*i**2 - 11*i + 11. Let r(a) be the third derivative of a**6\/120 + a**5\/30 - a**4\/8 + a**3\/2 + 117*a**2. Calculate 22*r(f) - 6*u(f).\nAnswer: -8*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = p, -2*x + 7*x - 62 = -2*p. Let j be 52\/14 - (-4)\/x. Solve 12 = 3*o - 4*f, j*o - 9 = 5*f + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 78. What is the lowest common multiple of h and 34 + -6 + 11 - 36?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92256 smaller than -92254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -41 + 47 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3360 and 269760?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 0*b**4 + 5*b**5 + 0*b**3 - 3\/2*b**2 - 6 + 0*b. Find the second derivative of a(k) wrt k.\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 12*s + 6. Let i be m(10). Let t = i - -17. What is the remainder when 616\/24 + (-2)\/t is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 11197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.518747 litres to millilitres.\nAnswer: 9518.747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1082 + 118. What is s rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106*i**3 + 1643*i**2 - 4*i + 42978?\nAnswer: 636*i + 3286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**4 - 80068542*r**2*t**2 + t**2 - 2780147*t wrt r?\nAnswer: 8*r**3 - 160137084*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1825 and 76.83.\nAnswer: -140214.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0 + 1\/60*l**6 + 1\/3*l**3 - 1\/30*l**5 - 1\/12*l**4 + 2*l**2 + 0*l. Factor s(j).\nAnswer: 2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/548 and 7\/22.\nAnswer: 6028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n = -3*y + 61*n - 18, y = 2*n - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293871 + 293871 + 13*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 20374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4303*x + 260 = -4293*x. Let m(i) = i - 7. Let f(q) = 5*q - 28. Calculate x*m(p) - 6*f(p).\nAnswer: -4*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -2 + 8*4. Let b(s) = 7*s - 17. Let f be b(12). Let h = f - y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 9758595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1272 divided by 6?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*-7*12\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -6 - (49 - 50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -33411 (base 5) to base 10\nAnswer: -2356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 121 + -95. What is the common denominator of -37\/251 and z*((-12)\/64 + 3 - 3)?\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9*s + 65. Let k(r) = -44 + 22 + 22 - r. Calculate n(k(t)).\nAnswer: 9*t + 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 + 9*i - 4. Let f be m(4). Solve 0*d + 4*d = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64094 and 91615.\nAnswer: 80437970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, q: 4, k: 5, d: 4, m: 4, i: 1}. What is prob of sequence mck?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -c51697 (base 14) to base 3\nAnswer: -110111212010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 5*z**2. Let v(w) = 7*w + 1137. Calculate q(v(x)).\nAnswer: 245*x**2 + 79590*x + 6463845","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 1391203000*l - 96772289360450000.\nAnswer: -5*(l + 139120300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118929 by 39643.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15 (b) -5 (c) 3 (d) 2 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 468696 and 1912?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**4\/24 - x**3\/6 - x**2. Let k be f(3). Suppose -w**2 + 5*w**3 - 2*w**3 - k*w**3 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128930\/3 - -42998. Let -20\/3*q**3 + b*q + 2\/3*q**4 - 40\/3 - 2*q**2 = 0. Calculate q.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1950, 1963, 1962, 1941, 1894, 1815, 1698, 1537?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*u + 8. Suppose -3*f = -u*w + 14, -f - f = -2*w + 8. What is the lowest common multiple of f\/3*(-16 - 14) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 378.59, 2\/11, 1\/4, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*j = -j - 188, 0 = 4*p + 5*j - 215. What is the remainder when p is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2594 and -5\/7.\nAnswer: 18158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15522952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.898 + 0.122. Let j = -0.9996 + k. What is j rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxjlxjhljuxxjlxj. Give prob of picking 1 j and 1 x.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**3 + 2*f**2 - 1. Give v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*c - 4*c. Let i be (c\/(-25))\/(2\/110). Let m = -11 + i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 7*q**2 + 7*q + 11. Let b be a(8). Suppose 24 = 4*v + 4*k, -13*v = -15*v + k + 9. Solve -2*i = -2*g + 2, 3*i = -g + b*g - v for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 27 + 32 - 5*c + 0*c**2 + 6*c**2. Let v be f(5). Let d = 5 - 7. Put 4, v, d in descending order.\nAnswer: v, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*p**4 + 30380*p**3 + 4*p**2 + 11*p + 1563 wrt p.\nAnswer: 1320*p + 182280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 74*g**2 + 74*g + 79. Give k(-36).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -14.27. Let r = 1.5 + -0.96. Let t = g + r. Is t at least -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + d - 28 = -3*d, 0 = -5*p - d + 24. Suppose 7*t - 2*t = 0. Solve a = -t*a - p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, 4, 5, -935.\nAnswer: -935, 3, 4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*m**3 - 2*j*m**3 - 5*j*m - m**3 wrt j?\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 13933150.97 to the nearest ten thousand.\nAnswer: 13930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-200)*-4*((-1403)\/(-966))\/61*-6.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 511039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-18)*l*l**7 assuming l is positive.\nAnswer: l**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114487786.\nAnswer: 2, 7, 8177699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + o + 0*o = 60, -299814*r + 299815*r + 30 = -4*o for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14aa6 + -230?\nAnswer: 14876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 171955.6 tonnes in micrograms?\nAnswer: 171955600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8619 by -663.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*l**2 - 2*l**3 - 28*l**2 + 7*l**4 - l - 29*l**4 - 1 to t*l + w*l**3 + j*l**2 + u + o*l**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/1417 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - -dc323?\nAnswer: dc318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*x - 31. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 853 - u + 330 + 907 + 878 - 321 - 562.\nAnswer: -u + 2085","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 886a85 (base 11) in base 9?\nAnswer: 2585687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*g = 25*g - 28272. Calculate the least common multiple of 341 and g.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**8\/168 - 8*m**7\/315 - m**6\/45 - 11*m**2. Solve z(s) = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6201107461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 12*n = -19*n + 8*n - 126, -4*m - 14 = n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 682427*v**5 - 1163647*v**2 - 2*v wrt v.\nAnswer: 40945620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1513*f + 44770 = -1503*f. What are the prime factors of f?\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 152 = 52. Suppose 4*z - q - 101 = 0, -3*z - 2*z - 4*q = -100. Calculate the remainder when z is divided by 4\/16 + x\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*37\/4773*43.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 - -1800.7.\nAnswer: 1800.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.43006 to 2 decimal places.\nAnswer: -25.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1530 is divided by 389?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682.5449 milliseconds in minutes?\nAnswer: 0.028042415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -0.4 (c) -58 (d) 4951\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -108*f**2 + 1236*f - 512. Give w(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 18. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 0*z - z)*(1 + 0 + 0) + 1 + 0*z + 0*z - 2*z.\nAnswer: -5*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 0*j - 3*j)*(0*j - 3*j + 4*j) + (-3 + 4 - 3)*(7*j**2 - 3*j**2 - 2*j**2) - j**2 + 0 + 0 in the form w + s*j + x*j**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10823202 and 1872?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2255*w = 2117*w + 6624 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + f = -10, -8*f - 85 = -4*d - 41 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 388, 594, 792, 976, 1140, 1278, 1384?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 23, -10, -95, -250, -493?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -17*t**3\/6 + t. Let c(h) be the second derivative of h**4\/12 + 764*h. Give c(a(y)).\nAnswer: 289*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 192 = 2*m, x = -4*m + 3*x + 368. Is 2\/(99\/m - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 1\/3 (b) -26.2 (c) 966\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 - -294. Let h(f) = -f**3 + 2*f**2 + 6*f - 5. Let w be h(-5). Calculate the greatest common factor of w and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470571 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**3 + 14*x**2 + 28*x + 23. Let r(y) = -y**3 + 5*y**2 + 9*y + 8. Let p(t) = -2*j(t) + 7*r(t). Let m be p(-6). Solve m - 2 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 106331 + 4285*k - 221472 + 110851.\nAnswer: 5*(k - 1)*(k + 858)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 36 = 4*n, q + 3 = -n - 2. Let k = n - -4. Sort 3\/4, k, -4 in descending order.\nAnswer: 3\/4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -70839, -282828, -636129, -1130730, -1766619, -2543784?\n\"Answer: 2*w**3 - 70668*w**2 + w - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2. Let v(y) = -4*y + 4. Give p(v(t)).\nAnswer: 16*t**2 - 32*t + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*s**4 - 16*s - s**4 + 8*s**4 - 8*s wrt s?\nAnswer: 156*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.018 and -1.79?\nAnswer: 0.03222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3385743 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 408 - (8\/16 - 18\/(-4)). Let y = -406 + o. Let v(a) be the third derivative of a**4\/24 - 2*a**3\/3 + a**2. Give v(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3701 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(9\/6) + (-476)\/(-2). Suppose g - 187 - s = 0. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2\/13, 7, -2 in increasing order.\nAnswer: -2, 2\/13, 1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1653)\/(-21) + 2\/7. Suppose -8*w - u = -4*w - 106, 75 = 3*w + 3*u. Let o = f - w. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -195833 and -195532 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-1\/23)*n**(15\/2)*n*n*n**(-4)*n*n*(n*n**(-4\/35))\/n assuming n is positive.\nAnswer: n**(13571\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f - 14 = 8. Put -2, 4, 21, f in increasing order.\nAnswer: -2, f, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 94\/263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322*j + 84 = 316*j. Let k(i) = i**3 + 14*i**2 + i + 18. Calculate k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*-4*sqrt(2736) + 4 + sqrt(2736) + -2 + 4 + (sqrt(2736)*-1 - sqrt(2736)))**2.\nAnswer: -5904*sqrt(19) + 4599252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15177 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + v. Suppose 3*c - 10 = -2*s, 0 = -2*s + 7 + 3. Let h be y(c). Suppose -4*w + q = -1026, w = -h*w + 5*q + 247. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y - 2. Let j be r(4). Let k = -1 + j. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.582 - 0.472. Which is the biggest value? (a) -2\/61 (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 45, -4\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/7*3\/3*32\/128.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -122?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prp when three letters picked without replacement from prrppprpprpprppppp.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1078*k**6 - 830*k**2 wrt k?\nAnswer: 129360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -168980 and -0.47.\nAnswer: 79420.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -165.45, -1, 1\/8?\nAnswer: -165.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (19 + -11)) + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -146, -123, -80, -11, 90, 229, 412?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 25*d**2 - 65*d. Let v be m(-27). Suppose v*p = 287*p + 6660. List the prime factors of p.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*r**2 + 7*r**2 + 7*r**2)*(-3 + 11 + 6)*(3 + 0 - 4)*(-6 + 6 + 4*r).\nAnswer: 224*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2154191832 a multiple of 2626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-42))\/(28\/168*8\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3247121837.\nAnswer: 25939, 125183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*c = 93, 3*c + 243 = k + 2*k. Suppose 18 - k = -4*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39 - -23) + 13 + (1 - 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.42, 1, 0.1, -1\/5 in descending order.\nAnswer: 1, 0.5, 0.1, -1\/5, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, f: 3, q: 2, j: 2}. What is prob of sequence zjq?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -350?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 - 467\/5. Which is the smallest value? (a) 0.06 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6529 divide 14806948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 4:05 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 927 + -967 - (2 + -3 + -10)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2916.403*-69\nAnswer: -201231.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 6 - (3 - (6 - -12))) + -46 + -11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 - -150. Which is the nearest to -1\/3? (a) o (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 328 = 104. Let w = 81 + z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 211848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 58? (a) 41 (b) -2\/3 (c) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3267975?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385875.2 years in decades?\nAnswer: 38587.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 11\/2*g**2 - 11\/12*g**4 + 12*g + 0 - 13\/20*g**5 - 1\/6*g**3. Is f(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + v = -0*v - 0*v + 42, -5*g = 7*v - 105 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 171 = -3 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 1931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -394 >= -393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((10\/150)\/((-9)\/45)*-1).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:07 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 + 6*f**2 - 3*f - 3. Determine a(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153252120 - 302?\nAnswer: 153251414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 216, -4, 420\/19, 1, -0.1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -42. Let p be (2\/(-6))\/(2\/30). Let x = 5 + -7. Sort p, d, x.\nAnswer: p, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42635078 and 22?\nAnswer: 468985858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.066 - -0.066. Suppose -18 = 4*c - 10*c. Let b = -0.2 + 3.2. What is the closest to b in 1\/7, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**6\/30 - 3*i**5\/20 - 2*i**2 + 4. Let s(r) be the second derivative of w(r). What is the third derivative of s(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 - 3*m**2 + 5*m**2 + (-m + 6*m - m)*(2*m + 2*m - 3*m + 2*m - 2*m + m - 1 - m + 1 + (-2*m + m + 0*m)*(-4 + 4 - 2)).\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52801 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, -47\/2, 430 in descending order.\nAnswer: 430, 1\/4, 0, -47\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2576 is divided by 440?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 397140 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 64. Is 2\/175 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 + (-41374)\/(-14248).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59773*n + 3*n**2 - 19924*n + 2*n**2 - 19924*n - 19925*n.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14118 - -14122. What is the nearest to -1 in -1, 2.1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2570435?\nAnswer: 5, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:56 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 0*b**3 + 0*b**4 + 1\/4*b**5 + 7*b + 0 - 1\/2*b**2. Differentiate i(k) wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 - 323*j**2 + 6. Let s(d) = 5*d**3 + 647*d**2 - 10. Let o(q) = -3*s(q) - 5*z(q). What is the third derivative of o(i) wrt i?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341553990 is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:54 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -307 + 324. What is the remainder when 232 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -37. Let s = b - 13. What is the greatest common divisor of 40 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.36 (b) -0.063912 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 81435 times 2.1\nAnswer: 171013.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40b84 (base 12) to base 4\nAnswer: 110222110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**0)\/y*y*y**(-20)*y**(-8\/3)*(y*y*y*y**(2\/13)*y)\/y assuming y is positive.\nAnswer: y**(-722\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*v - 0*v. Suppose v + 11 = 2*n. Let u(q) = 8*q. Let b(z) = -2*z. Let i(a) = n*b(a) + 2*u(a). Let h(d) = -d. Determine h(i(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7 + 11. Let f = -0.1 - 0.1. Let k = f - m. Which is the nearest to 0? (a) -3 (b) 2\/21 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 11:12 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bsbbbiogggbggbsi. What is prob of picking 1 i, 2 s, and 1 g?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*v - 157*v - 157*v + 236*v**2 - 230*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 462 and 33642?\nAnswer: 370062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137, -117, -81, -23, 63?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467139280 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-45))\/((-4)\/(-12)). Which is the closest to 0.1? (a) u (b) 6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 - 4*p**2 + p + 5. Let w(i) = 6*i**3 + 4*i**2 - i - 4. Let k(q) = -4*f(q) - 5*w(q). What is k(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 1 - 5*t + 3*t)*(2 + 2*t - 2)*(-4*t - 6*t - 18*t)*(-1 - 1 + 4).\nAnswer: -112*t**3 - 112*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a day?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**4 - 7*z + 7*z - 2*z**4 + z**4 - z**4 + (1 + 2 - 2)*(5*z**4 - 4*z**4 - 3*z**4) - 4*z**2 + 4*z**2 + 15*z**4.\nAnswer: 7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26009873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*t + q, -5*t - 37*q + 35*q - 8 = 0. Factor -5\/4*p - 3\/2 + 1\/4*p**t.\nAnswer: (p - 6)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/26 (b) 3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 820 and -0.034819.\nAnswer: -28.55158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*r + 1508 = -l, 1126 = -3*l - r. What is l rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -128, -167, -276, -491, -848, -1383?\n\"Answer: -6*v**3 + v**2 - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 17, p: 3}. Give prob of picking 1 g and 2 p.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14774 = 2726. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -17*s - 84. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l - 1178 = 1295 + 2307. Which is greater: l or -477?\nAnswer: -477","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -789.7 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 9. Let d be 0\/1 + (2 - -1). Solve d*r - 19 = -u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*((-4)\/(-4))\/1. Let y(x) be the second derivative of 0*x**3 + x + 0 + 1\/60*x**a + 1\/36*x**4 + 0*x**2. Factor y(r).\nAnswer: r**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6745851643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.03 (c) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 22. Let a be 69\/12 - 2\/(-8). Suppose -2*n = a - c. Solve -2*k - n = -2*i, 28 = 4*i + 3*k + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1473 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 139*b**7\/42 + b**5\/10 - 139*b**4\/4 + b**2\/2 + 430*b + 2. Find the third derivative of n(y) wrt y.\nAnswer: 8340*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhddhhfh. What is prob of sequence hddh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = s - 3*w, 0 = 6*s - s - 3*w - 25. Suppose 3*a - 22 = -f, s*a - f = -2*f + 38. What is the greatest common factor of 56 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18d - 3?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 9:16 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - o - 49, o + 36 = 3*j + 7. Let l = j - 7. Suppose l*h - 509 = -4*g, 0 = 2*g - h + 6*h - 237. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c - 124 = -384. Solve 0*x - c*x = -5*l - 10, 12 = -4*x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3360368 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - m + 2. Let l be a(-2). Let s(u) = u**3 + 4*u**2 + 2*u + 6. Let k be s(l). Let o be (1 - k)\/((-1)\/(-1)). Solve -o*h = -4 - 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, -11, -2, 2\/13, 2\/7 in decreasing order.\nAnswer: 2\/7, 2\/13, 0.12, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 72*z - 6550. Let q be u(91). Let m = 1 - 1. Let d(h) = -h**2 - 10*h - 18. Let k be d(-9). Which is the nearest to m? (a) -0.3 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 88 - -95) + 23\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 1 = -5. Suppose z = 4*z - 3. Let g = p + z. Let y(c) = -c**2 + 4*c - 1. What is y(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4330?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 238442835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/74515182 and -29\/36?\nAnswer: 447091092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1 - 2*t + 7 + 3*t. Let i be (-5 + 12)*-1 - -7. Determine x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4288556425.\nAnswer: 5, 17, 23, 191, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277 divided by -5.\nAnswer: 277\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 1.6053445733677?\nAnswer: -1.3053445733677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 21 - 36 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0925953 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 4*c**2 - c. Let y be n(5). Suppose 0*d + 4*d = y. Suppose 8*j - 51 = d*j. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3 + (2 + 0 - 3)*(-7 + 3 + 3))*(7 - 1 - 8 + i).\nAnswer: 3*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8316 and 653532?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -590 (base 11) to base 15.\nAnswer: -31e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3766276 is divided by 8946?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25128223 - -52.\nAnswer: 25128275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*c + 50 = -30*c. Calculate the remainder when 51 is divided by ((-480)\/(-75))\/(2\/c).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + p**2 + p - 1. Let u be g(2). Which is bigger: u or -7\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*y + 57*y - 114*y - 91 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 5:16 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 10. What is b(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38690 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -394*f = -406*f + 49020. What are the prime factors of f?\nAnswer: 5, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 2\/9, 0, 6.9425 in ascending order.\nAnswer: 0, 2\/9, 6.9425, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 68 - 31 + 10*c - 24 + c**2. Let t be j(-12). Factor 3*q**2 + 2*q**2 - t*q + 32*q.\nAnswer: 5*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 - -116. Let x(m) = -3 + 4*m - m**2 + 20*m**3 + w*m**3 - 21*m**3 - m. Determine x(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u = 6*u + 100. Solve 9 = -u*q + 25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -148*t**3 + 133*t**3 + 313*t**3 + t - 2*t**3 - t + (-t - 2 + 2)*(-3*t**2 + t**2 + t**2) - 5*t**3 - t**3 + 4*t**3.\nAnswer: 295*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 0.42999.\nAnswer: -5.57001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 3*m + 429, -8*m + 461 = 3*u - 3*m. Let d(n) = 148*n - n**3 - u*n - 8*n**2 + 2*n**2 + 3. Is d(-8) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmddfdfdmd. Give prob of sequence df.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 9*r**2 + 29*r - 42. What is t(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7667398*-64.\nAnswer: -490713472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 25*o**4 + 14*o**3 - 499*o - 4. Let g(i) = -51*i**4 - 27*i**3 + 997*i + 10. Let k(u) = -2*g(u) - 5*m(u). Find the second derivative of k(y) wrt y.\nAnswer: -276*y**2 - 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p**5 + 58*p**4\/5 - 342*p**3\/5 - 106*p**2\/5 + 292*p\/5 + 48\/5 = 0 for p.\nAnswer: -3, -1, -4\/25, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 65*l - 64. Calculate g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-14)*(-12416)\/194.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 1)*(-5052050*k**2 + k + 0*k**3 + 5052254*k**2 + k**3).\nAnswer: k**3 + 204*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*j - 2616 = 80*j - 34*j for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 3*l**2 - 2*l - 2. Let r be x(-3). Suppose 0*p = -r*p - 112. List the prime factors of (p\/6)\/((-1)\/3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2077 (base 10) to base 9\nAnswer: -2757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161029 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69 + 2 - -142) + 20.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741621 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -c**5\/60 - c**4\/8 - 5*c**3\/6 - c**2. Let k be o(-4). Is -8 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -s + 1380, 833 + 4686 = 4*s - 3*p. What is s rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 37. Let c be p(13). Calculate the highest common divisor of c and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 > 4911\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -274.9 times -9\nAnswer: 2474.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -4, 3*j + 4*h - 3 = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (55\/4)\/((1495\/(-156))\/(-23)). Calculate the greatest common factor of m and 1111.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - ((193552\/42)\/(-4) + 96\/1008)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 5857539.2.\nAnswer: -5857544.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m + 4. Let s(a) be the first derivative of -a**4\/4 + 5*a**3\/3 - 3*a**2\/2 + 2. Let f be s(4). Is d(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -7, -2 in decreasing order.\nAnswer: 10, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5002 divided by 41\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -370a1 (base 12) to base 3.\nAnswer: -10210002111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.676498 rounded to two decimal places?\nAnswer: 55.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 1\/4, -3, -4, 2\/13 in ascending order.\nAnswer: -4, -3, 1\/7, 2\/13, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*d = 144. Let z = d + 73. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 0.4, -0.22, -0.1, 5?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 101687208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860954859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 10:34 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**4\/4 + 1130*c**3 - 383070*c**2 + 57715880*c - 3260947220 = 0.\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -26 + 258. Let w = b + -22. Is (7 - 0)*(-8)\/(-16)*w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325539360 by -3747.\nAnswer: 86880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m + 27. Let v be r(9). Suppose -i + v*i = 4*l - 72, 0 = 5*i - 20. Calculate the highest common divisor of 68 and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q. Let a be l(4). Which is greater: a or 15\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*s = 5*y + 91*s, -y = -2*s. Suppose 3*b = -d + 179, 5*d + 5*b - 176 - 709 = y. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 16*h - 12. Let w be r(15). Suppose 3*g - 209 = -2*y, -6*g + g = -w*y + 323. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10433.68 millilitres in litres?\nAnswer: 10.43368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -258e0c (base 16) to base 8\nAnswer: -11307014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 9*a**2 + 13*a - 13. Let z(j) be the third derivative of j**5\/30 - j**4\/8 + j**3\/2 - 6*j**2. Suppose -7 = 5*x - 52. Determine x*z(n) + 2*m(n).\nAnswer: -2*n**3 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-14))\/k)**(-10))**12 assuming k is positive.\nAnswer: k**1680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 34\/3. Let h(s) be the second derivative of 0*s**5 - 2*s + 0*s**2 + d*s**3 - 1\/15*s**6 + 0*s**4 + 0. What is the second derivative of h(i) wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*f = 69, 4*p - 4*f + 82 = 2*p. Let j = 43 + -186. Let c = p - j. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-5*((sqrt(55)*-1*6)\/sqrt(5) + -5 + 2)*4.\nAnswer: 60 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-592)\/(-128760)*15\/3?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 124360 * 9\nAnswer: 1119240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -11*j - 459. Let n be d(-42). Solve 0 = 3*o + 2*v + 4, -2*o - v + n = 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1623, 3437, 5373, 7431, 9611, 11913, 14337?\nAnswer: 16883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13444967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*((-3806891)\/(-734) - (1 - 0)*-1).\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-10)*(-6 - -2). Suppose 3*n - o*n + 555 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45835*c + 162412*c + 504584*c.\nAnswer: 712831*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 205 + 442 = 5*a, 5 = -5*m. What is the smallest common multiple of 1144 and a?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 5. Let v be d(-6). Let y(g) = 5000000*g. Let q be y(v). What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 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 s be (4\/(-12))\/(1\/(-3)). Suppose 0 = -2*b - 3*b - 5. Let y = s - b. Solve y*n - 30 = 5*x, -2*n - 4*x - 5 = 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence viia when four letters picked without replacement from {u: 2, l: 1, v: 1, a: 1, i: 4, h: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18, 2, -9, -411, 0.2?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1031 = x - 5515, -5*x + 32730 = -5*j. What is the thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 90 - 17. Let x = -2457 - -2496. What is the remainder when y is divided by x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.16 (b) 691 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4064671579.\nAnswer: 4064671579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 498779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**2 + 0*m**2 + m**2 + 232*m + 0*m**2 - 39 + 2*m**2 - 230*m + (-707 + 707 - 31*m)*(11 - 11 + 3*m) as z*m + w + d*m**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27251, 108178, 243007, 431738, 674371, 970906?\n\"Answer: 26951*k**2 + 74*k + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/35)\/((140\/(-98))\/2)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 12, z: 2, f: 2, d: 1}. What is prob of picking 2 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p + 629. Suppose -6*l + 4*l = -6*l. Is v(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.17 and 67?\nAnswer: 65.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, 403 in ascending order.\nAnswer: -1, 0, 5, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(252\/(-98)) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**3 + 4*d**2 + 3*d + 6. Let o be y(-4). Suppose 123 = -5*n + o. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*b**2*p**2 + 478*b**2*p - 124*b**2 - 11025962*b*p**4 + 939*p wrt p?\nAnswer: -62*b**2 - 132311544*b*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -35404 and -0.0268633.\nAnswer: -35404.0268633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 30*i - 26*i + 5*p, -p = -4. Let k(r) = r**3 + r - 5. Let g be k(0). Sort -3, i, g.\nAnswer: g, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 7*i**3 + 0*i - 3 - 4*i**3. Let c(n) = -2*n**3 - 10*n**2 + 17*n + 33. Let d be c(-6). Suppose -d*p = -409 + 403. Give h(p).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 5 - 6)*(2*s + s - 6*s)*(1 - 2 + 3).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = c + 4*c, -t = -4*c + 9. Solve t*z + z = 4*v - 12, 0 = 4*v + 5*z + 24 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 + y - 4. Let m be x(-3). Let i be 5\/((-15)\/(-6) - m). Suppose -4*k + i = -18. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 1:37 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 105*d**2 + 3*d - 2. Let o be p(1). Let u = -274 + 337. Suppose -3*x + 4*a = -u, -3*x - 2*a + o = x. Solve x = -5*f - 5*n, 9 = -3*f + 3*n - 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3876, -3864, -3838, -3792, -3720, -3616?\n\"Answer: a**3 + a**2 + 2*a - 3880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (23 - (29 - -3) - -15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*b - 93 = 0, 0*y - 2*b = 3*y - 87. Let w be (2\/3)\/(2\/y). Let t = 19 + w. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-2 - -2) + (-2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 8*h - 7. Suppose -3*g + 13 = -w - 7, -4*g = -2*w - 48. Let d = -25 - w. What is the remainder when d is divided by t(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**2 + 2*d**3 + 39 - 315*d - d**4 + 301*d - 43 - 2*d**2 to o*d**2 + u*d**4 + h + c*d**3 + l*d and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 164*l. Let n(x) = 10*x. Determine r(n(m)).\nAnswer: -300*m**2 - 1640*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*u + 32*u - 15 = -2*v, v = 9*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 6*s - 1. Let v be f(5). Find the common denominator of -2 - (-3 + (-145)\/v) and -24\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 212393205*h**2*z - 684*h*z + 825*z - 1 wrt h?\nAnswer: 424786410*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 617\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**2 - 3*g**2 + 5*g**2)*(1 - 2*g**2 - 1) - g**2 + g**2 + 2*g**4)*(g - 3*g + 0*g)*(-1 + 1 - 2).\nAnswer: -8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5 - 2 - 3*w - 6. What are the prime factors of v(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 7, -46, -139, -278, -469, -718, -1031?\n\"Answer: -r**3 - 11*r**2 + 21*r + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.898 plus 2822024?\nAnswer: 2821973.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 610826951 and 4207?\nAnswer: 4207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (530 - 430 - 702)*(0 + 3 - 4)*(-g - g + g).\nAnswer: -602*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u - 14*u + 5*u**4)*((5 + u - 5)*(-1 + 0 + 4) + 16*u - 44 + 44) + (-u + u + 2*u)*(0*u**4 + u**4 + 0*u**4).\nAnswer: 97*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-15)*3 + (-1247930)\/(-25). Suppose 4*y - 7*y = -b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29301 + -28993. Calculate the greatest common divisor of c and 462.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293918 less than -413816?\nAnswer: -1707734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -726, -4101, -11868, -25779, -47586?\n\"Answer: -292*u**3 - 444*u**2 + u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y + 70 = 510 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(5\/4)*s)\/(s**13*s))**42 assuming s is positive.\nAnswer: s**(-1113\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000789203636 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 - 36549*w\/7 - 46980.\nAnswer: -(w + 9)*(w + 36540)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 5*w**2 + 4*w. Let a be o(3). What is the third derivative of 3*c**3 + 2*c**2 - 510*c**4 + 513*c**4 + 13*c - c**a wrt c?\nAnswer: 72*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 1 a when three letters picked without replacement from bvbbjajjzvjbtvb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 11:40 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (15 - 5) + -11 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -1\/30*g**6 - 1\/5*g**5 + 15 - 1\/2*g**4 - 11*g - 1\/2*g**2 - 2\/3*g**3. Let o(t) be the first derivative of w(t). Factor o(d).\nAnswer: -(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3119201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 714 + 3e?\nAnswer: 753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:00 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 23*s**6\/30 + 3*s**4 + 14*s + 30. Let q(u) be the first derivative of t(u). Find the third derivative of q(x) wrt x.\nAnswer: 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**3\/6 - v**2 - v. Let y(a) = 2*a - 5. Let q be 20\/(-2)*(0 + -4). Let u = -35 + q. Determine u*h(s) - 2*y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 w when two letters picked without replacement from {s: 1, c: 1, i: 1, f: 1, w: 1, p: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136696 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.53018 weeks in days?\nAnswer: 619.71126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 61009*f**3 + 3707223*f**2 + 64441659*f + 237153845 = 0.\nAnswer: -6887\/247, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 13 + 101 = 0. Calculate the remainder when r\/(-6)*(-1 + -2) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 46*p + 3. Let r(w) = 2*w**2 + 57*w + 4. Determine -5*l(z) + 4*r(z).\nAnswer: 3*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052017209 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - (3 - 10*565). Let m = 158045\/28 - o. Calculate the common denominator of m and 41\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - sqrt(88)*1*6 - sqrt(88))\/(sqrt(160)\/sqrt(5)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*c - 188, 3*n - 136*c + 132*c - 131 = 0. Solve -n*g = 4*g + 106 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - t. Suppose t = -2*l + 4*l - 132. Let p = l - 19. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*q = 869906, -q - 149441 = -s + 285516. Let o(d) = 10*d + s - 434961. Let b(c) = -3*c**2. Calculate o(b(t)).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 130*j**3\/3 - 2861*j**2\/3 + 15752*j\/3 - 121\/3 = 0. Calculate j.\nAnswer: 1\/130, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 10*n**2 + 2. Let k(y) = 18073*y. Give r(k(v)).\nAnswer: 3266333290*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 590, 1870, 4114, 7322?\n\"Answer: 482*f**2 - 166*f + 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 + 2*v**2 + v + 1. Let i(x) = 68*x**3 - 76*x**2 - 260*x - 36. Let p(f) = i(f) - 28*u(f). Let p(d) = 0. Calculate d.\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 16.25\nAnswer: 25.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -417*i**2 + 64*i**2 - 234*i**2 + (0*i - 2*i + i)*(i + i - i) as f*i**2 + v*i + r and give f.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -142, -149, -156, -163, -170?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 5390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3736038?\nAnswer: 2, 3, 37, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5193.373 kilograms in micrograms?\nAnswer: 5193373000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191593 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: In base 10, what is 3 + 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 3*b + 141. Calculate x(0).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -67, -17, -3, 3, -4, 7, -1 in descending order.\nAnswer: 7, 3, -1, -3, -4, -17, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145 + 4*p**2 + 49 + 35 + 36 + 25.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -15*h + 212, 0*h - 1706*o - 444 = 3*h - 1694*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -0*d. Suppose d = 4*j - 27. Is 2 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 1044, 1550, 2046, 2532, 3008, 3474?\nAnswer: 3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 24*g**2. Let h(x) = -47*x - 14. Determine v(h(y)).\nAnswer: 53016*y**2 + 31584*y + 4704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 33. Let l(s) = -12*s - 123. Give -5*l(m) + 21*x(m).\nAnswer: -3*m - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7641784937 from -7.\nAnswer: -7641784944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.9 from -1360463.\nAnswer: -1360462.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18135 = 7619*k + 756358 - 60132 for k.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + -9 - (1 + -3 + 41).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1960*b + 2*b**2 - 1972*b - 2*b**2 + 3*b**3 to the form l*b + p*b**2 + y + u*b**3 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(24\/(-128)*-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86935\/19 + -4574. What is the common denominator of 53\/8 and n?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19855138 and 76?\nAnswer: 754495244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*q = 1 - 6, 4*q = 4*h. Suppose 11 = y + x, -y = -h*y + 3*x + 44. Suppose 20 - 23 = -3*i. Solve y = -5*n + i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -78. Is o greater than 2\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17820\/2079*28\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1030109019?\nAnswer: 3, 343369673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -38. Suppose 3*t = -l*t + 54. Let w = t + -5. Solve v - 15 = w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 3*c)*(7602 - 795 - 165).\nAnswer: 13284*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13773 + 14431. Which is greater: c or -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 6*y + 4. Let b(c) = -2*c**2 - 5*c + 3. Determine 5*b(o) - 4*t(o).\nAnswer: 2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -2*v**3\/33 - 13*v**2\/11 - 450. Let y(i) = 0. What is i?\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7162104 by -3.\nAnswer: 2387368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/7, 5, -8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4963, -9976, -14989, -20008, -25039, -30088, -35161, -40264?\nAnswer: -45403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -59.5 and -384269.459.\nAnswer: -384328.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*c + 6 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1756*g**3 + 336*g**3 + 523*g**3)*(0*g**2 + 3*g**2 + 0*g**2).\nAnswer: 7845*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 5144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -141 + 49. Let x = 172 + b. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 26*v - 4. Let q(l) = -25*l + 3. Let j(h) = 3*q(h) + 2*t(h). Let o be j(-1). Suppose 5*u - o = 56. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(-7)\/(3465\/6)*5. Let s = -486 + 486.1. What is the nearest to s in d, -2\/5, -3\/8, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 14*b + 9. Let h be r(-6). Let y = h + 6. Suppose -7*p + 2*p + 16 = x, -2*p + 3 = -y*x. What is the lowest common multiple of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -910, -2033, -3606, -5629, -8102, -11025?\nAnswer: -14398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*k - 7 = -384*k + 780*k. Which is smaller: k or -36\/185?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21961.\nAnswer: 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/33 and -55\/159.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12400 at least as big as -13089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 3, d: 1, u: 3, w: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 268?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 8*g**2 + 3*g. Let h be r(-2). Let b be -327*1*h\/39. Let a = 281 - b. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k. Let m = 8 + -13. Let r be w(m). Is 73\/3 - (-10)\/r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11476\/5 + -2304. Calculate the common denominator of k and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3131765, 6263527, 9395289, 12527051?\n\"Answer: 3131762*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**3 - k**2 - 884*k + 5254. Determine m(6).\nAnswer: 1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069929 is divided by 356643.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 + 5\/2. Let v be 2*(1 - (-2 + -2)\/4). Suppose v*z = l*z. Solve o - 2 = 0, z*f = -3*f + 3*o - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11.2 - 2.8. Let t = -4 - j. Let f = t + -5. What is the second biggest value in f, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 2\/13 (c) 82222\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 280073*-14\nAnswer: -3921022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 30*t**2 + 136. Determine k(-30).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4*h - 1036 - 100, h - 564 = -2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/(-92) + 20 + -20. Let s = f + 367\/23. Factor 21*a + s*a**2 + 15\/4*a**3 + 6.\nAnswer: 3*(a + 2)**2*(5*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 11. Let u be 10855\/g - 2\/(-11). Suppose -2*y - 4*f = -434, -4*f = 3*y - u + 342. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 3*j - 2*j**3)*(-228 - 3*j + 223 - 43*j) to n + s*j**4 + b*j + r*j**3 + c*j**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 + 2 = 0. Let r(f) = f**q - 4 - 4 - 5*f**2 - 8*f + 10*f**2. What is the remainder when 11 is divided by r(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 418 = 5*i + 3*r, -3*r + 213 = 2*i + 44. Solve 84*j - 253 = i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25632886861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**3 - 235*g**2 + 1840*g - 2700 = 0.\nAnswer: -54, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37 - -11. Let k = w + 17. Are k and -9 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.010684.\nAnswer: -0.005342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = -4*m, -4*h + 2*m = 4*m + 2. Let s = -383 + 2687\/7. Let k = 1 + 3. What is the nearest to h in s, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/61 (b) -422 (c) 259\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1959 - 158681\/81. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 10*k**2 - 9*k + 9. Let v(m) = 5*m + 7. Let c be v(-8). Let h = c - -51. Suppose 4*z - h = 2*z. Calculate u(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84255 is divided by 523?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3747 divided by 1?\nAnswer: 3747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -475, -774, -1073?\n\"Answer: -299*x - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -177*d - 4697. What is a(-27)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 5:52 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g*(g*g**(-1\/51)\/g*g*g)\/g)\/g*g*g*g*g*g**(-1\/20)\/g)\/((g\/((g\/(g*g**(1\/19))*g)\/g)*g*g)\/g*g*g*g**(-2\/27)*g) assuming g is positive.\nAnswer: g**(166019\/174420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24715.\nAnswer: 5, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 6, -63, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 237, 236, 255, 312, 425?\n\"Answer: 3*h**3 - 8*h**2 + 2*h + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-1 - (-1 + -1)) - 0 - (1347 + -1409)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1064)\/(-980) - (-2)\/(-7))*(-1)\/(-4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 8. Let b = r - -35. Let q be 122\/8 - 2\/8. What is the highest common divisor of b and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 + (-26 - 16) + 71 + -55\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 7*q**6\/10 + 48*q**5\/25 - 18*q**4\/5 - 64*q**3\/5 - 24*q**2\/5 - 6066. Find m such that i(m) = 0.\nAnswer: -2, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 28 + 19 = -3*l, 13*l - 18*l - 4*w + 6 = -9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*t + 4525, -38*t + 4549 = s - 41*t. Suppose 3*h = s + 41009. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*0*(0 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 5263876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-42) + (-141476)\/13146.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.7556 and -1?\nAnswer: -0.7556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.1 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 26*f**3 - 5*f**2 - 5. Let w(g) = -13*g**3 + 3*g**2 + 3. Calculate -3*k(h) - 5*w(h).\nAnswer: -13*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34.9 and -579?\nAnswer: 613.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 2, h: 1}. Give prob of sequence aga.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 + 136 + 268 = 32*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1358865 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 720?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -422147, -422248, -422349, -422450, -422551, -422652?\nAnswer: -422753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5, -2.6464, -1\/11, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 289451 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 7\/29596256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkrkrrrrkr. What is prob of sequence rrk?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10*q)**16\/(q*q**(3\/4))**(-1\/4) assuming q is positive.\nAnswer: q**(2823\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*j = -8 - 79, 58*d + 63*d + 4*j = 117*d - 112 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/x**(-8))\/x*x)*x*x*x**(-8))\/((x*x*x\/x**(2\/9))\/x**(4\/5)) assuming x is positive.\nAnswer: x**(-719\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1932378 - 116828. Is y\/90 - (80\/45 + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 314*k - 35790. Determine x(114).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74896?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from zbpjobbobobozp.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 203733370.\nAnswer: -3\/203733370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 13 = 3. Suppose k*i - 46 - 4 = 0. Solve i*y - 1 + 6 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 673 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 6. Let f = -397\/32 - 27\/32. Let j = f - -575\/44. What is the second smallest value in w, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 - 678\/5. Which is the biggest value? (a) 3 (b) 4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(1\/3*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, d: 5, b: 4}. Give prob of sequence drd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*n - 3541 = g, 0 = -4*g - 4*n + 14124. Suppose f - 1 + 2 = 0, -3*v + g = 4*f. What are the prime factors of v?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 3:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 110.\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/64))**(-38) assuming h is positive.\nAnswer: h**(19\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 15 - (14 - 10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 64365851.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -1 - 9. Suppose 0 = -q + 28*z - 23*z + 28, 3*q - 2*z = 19. Solve 3*n - g = -q*p + 7, n - 4 = p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*f + 10, -4*f - 5*c + 30 = -3*c. Suppose f*y - 104 = y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 + 244. Let d(t) = 7*t. Let m(a) = -104*a. Let z(n) = 91*d(n) + 6*m(n). Calculate z(i(b)).\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -6820471.\nAnswer: 3\/6820471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4 - 100*c**3 + 4*c**2 + 100*c = 0.\nAnswer: -25, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 47\/207397 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/138996 and 79\/5148.\nAnswer: 138996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = q, -2*z + 4*z = q - 8. Let w be 20\/12*q\/(-10). Sort w, -5, -3.\nAnswer: -5, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2) + (-2725)\/11. Let k = n - -21921\/88. Let y = -90197\/12780 + 3\/1420. Find the common denominator of k and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t + 7*t - 3*t + t + 1 - 1 + (1 + 1 - 3)*(0 + 2*t + 0) - 3 + 3 - 2*t + 2 + 4*t - 2 + (-5 + 3 + 0)*(2*t + t - 2*t) to u*t + a and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(119) - sqrt(119))*-2)\/(sqrt(112)*6 + sqrt(7) + 1*sqrt(448)) + -2.\nAnswer: -2 + 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1057*m - 32 + 8 + 10 + 12 - 2661*m + m**2 to z*m**2 + k + x*m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 4*p**5\/5 - p**4 + p**2 - 11*p + 70. Find the second derivative of d(f) wrt f.\nAnswer: 48*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + (-76)\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (2 + (7 - 5) - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14755 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(204)*1)\/(sqrt(12)*2*4) + -2)*1.\nAnswer: -5*sqrt(17)\/8 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-16)*540\/(-1890)*(-3 + 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/23701, 1\/2, -103 in increasing order.\nAnswer: -103, 1\/23701, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.6167 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from iczznunc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose -3*m = -4*p + 3, -4*p + t*m - 3 = -0*p. Sort p, -4, 2 in decreasing order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9 - 0 - (-32)\/42?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.012 + -48.521. Let m = -0.009 - h. What is m rounded to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 21045.\nAnswer: 42090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 100 = -2*o. Let w be (o\/6)\/((-4)\/6). Suppose -107 = -4*t + w*g, -4*g + 33 = 2*t - 53. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten sevenths of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*r + 17*r - 25*r + 104 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 163 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4456?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhtlttltllrwlhtp. What is prob of picking 2 r, 1 p, and 1 w?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 3. Let d = 6 - 10. Let q = 0.2 + 0. Which is the third smallest value? (a) d (b) n (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19081466.\nAnswer: 2, 67, 157, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 + -0.11. Let z = 14.578 + -11.578. What is the second smallest value in 8, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(90\/(-17780))*(-3)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5530 - -114?\nAnswer: 10044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 358*o - 3297. What is m(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263615 is divided by 8751.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 284, 406, 362, 158, -200, -706, -1354?\nAnswer: -2138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 2\/3 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.202054 and -4.\nAnswer: 36.808216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 11:38 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 0 - (2 - 17)) + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (-2 - -2) + -1. Let y(w) = -w**3 + 8*w**2 + w - 5. Let b be y(8). Find the second derivative of -k + 5*k + 0*k - x*k**5 - b*k wrt k.\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1079, 4320, 9723, 17288?\nAnswer: 27015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 6*f**2 - f**2 + 0*f**2 - 3*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 8*m - 60. Suppose -v - 4*h = h + 44, 0 = -m*v - h - 196. Calculate the remainder when 103 is divided by (v\/2)\/(45\/(-60)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 48351*w**2 + 284*w - 284. Let f(a) = -509*a**2 - 3*a + 3. Determine -284*f(d) - 3*q(d).\nAnswer: -497*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppt when three letters picked without replacement from tppp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u + 2*u + 0*u)*(0 - 1 + 0) + 0*u + 3*u + 8*u)*(37 + 39 - 7).\nAnswer: 690*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371 or -38780?\nAnswer: -38780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 25 + (581\/166 - (-3)\/(-1))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76426540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5 - 7770*y**4 - 91566*y**3 + 5367978*y**2 = 0. Calculate y.\nAnswer: -3873, -33, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - 516 - (-1 + -1). Let s = o + 17988\/35. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 + -126. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3205783767?\nAnswer: 3, 1068594589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -2*t + 15. Let d = t + 28. Calculate the lowest common multiple of 1 and 4 + (-9)\/((-45)\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 928 + -892 - (-1 + (-64 - 6))?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 5. Does 2 divide 7\/b - (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 822510 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (0 + 7) - -2 - 6) + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1309\/1439 (b) -3\/7 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 3 + 2 - 4 + 4 + (-5 + 5 + 2)*(0 - 1 - 1))*(43 - 139 + 10*i + 46) in the form x + t*i and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - (10 + 4))*-7. Suppose 0 = 11*u - 10*u - p. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2109*o**4 + 5*o**3 - 1083*o. Let v(q) = 1054*q**4 + 3*q**3 - 541*q. Let s(u) = -4*k(u) + 7*v(u). Find the second derivative of s(j) wrt j.\nAnswer: -12696*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5011 - -5015. Let u = -5 - -7. Factor 3*r**4 + 270*r**2 - 276*r**u - 4*r - r**w.\nAnswer: 2*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17, -64, -133, -224, -337?\n\"Answer: -11*y**2 - 14*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(3 - 39 + 11)*(0 + 2*m + 0).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 3) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*l - 5*z, -4*l + 8*l = 4*z + 24. Solve 1\/4*q**2 - 7\/8*q**3 + 0*q**4 - 1 + 3\/2*q + 1\/8*q**l = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54666 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3665?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 + 100110222121?\nAnswer: 100110212021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315 + -311. Suppose 4*j + 4 = 4*v, -x*j - 7 + 15 = 0. What is the smallest value in -107, 0, v?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -116134667.\nAnswer: -116134653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 20 - 10. Let d be (40\/30)\/((-1)\/j). Is (8\/d)\/(-1)*205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i - 13. Calculate v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-274 - 1216 - 257 - 1363)*(-c + 5*c - c) to g + r*c and give r.\nAnswer: -9330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1676632 rounded to 3 decimal places?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176088 is divided by 35209?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2774 + 4761. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooh when four letters picked without replacement from {h: 2, d: 1, o: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, -23, -29, -2, 2.\nAnswer: -29, -23, -5, -2, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1527, 5, 0.1, 0.2 in decreasing order.\nAnswer: 5, 0.2, 0.1, -1527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -946.\nAnswer: -5\/946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65319 is divided by 382?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-8)\/10. Let g be (1\/j)\/(3\/(-18)). Suppose g*m - 58 = 5. Solve 4*p - 4*y + 16 = 0, 4*p = -p + 4*y - m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g + 9*g**2 + 308*g**3 - 1 + 1 - 309*g**3 to y*g + d*g**2 + p*g**3 + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.02, -866378 in increasing order.\nAnswer: -866378, -0.4, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 13*i**2 + 2*i + 18. Let c(v) = -2*v. What is d(c(a))?\nAnswer: 52*a**2 - 4*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -61\/4*i**4 + 36*i - 5\/4*i**5 - 47*i**3 + 3*i**2 + 0 = 0.\nAnswer: -6, -1, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/3 - 244*a**2\/3 + 7894*a - 7812 = 0. Calculate a.\nAnswer: -186, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*b = -43675, 26*b - 25*b - 218413 = -5*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1656744 divided by 4.\nAnswer: 414186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-1) + -5*(-21)\/20. What is the third biggest value in 1, v, -2\/11, 1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9660 and 3165763584.\nAnswer: 3165773244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 9*t - 1382 - 604. Calculate the remainder when t is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k - 5. Let h = -5 - -12. Let f(d) = -6*d + 7. What is h*g(i) + 5*f(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2004.428 - 2012. Let v = -6.9 - c. What is v rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + (-2)\/(-2))*(-14)\/35. Let g(l) = -93*l**2 + 2*l - 4. Let x be g(u). Let d = 528 + x. List the prime factors of d.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9*l**2 - 2*l - 3. Let z be x(-1). Suppose -40 - 200 = -z*j. What is the highest common divisor of 240 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -30, -40, -50, -60?\n\"Answer: -10*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-396)\/(-1380) + (-978)\/138 + 7. Let m(o) be the first derivative of q*o**2 + 1\/10*o**4 + 11 + 0*o + 4\/15*o**3. Factor m(d).\nAnswer: 2*d*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 31.786.\nAnswer: 95.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + u**2 + u + 1. Let x(k) = 66*k**2 + 66*k + 66. What is -66*r(o) + x(o)?\nAnswer: 66*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -7, -14, -4 in descending order.\nAnswer: 3, 2, -4, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3067\/236 + -44\/59. Calculate the common denominator of 69\/(-56) + (-4 - 54\/(-14)) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + 43. Let z = k - 53. What is the greatest common divisor of z and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 317824 + 0.1.\nAnswer: 317824.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24528539.3000058 - 24528566.3. Let o = -27 - u. What is o rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(((q\/q**18*q)\/q)\/q)*q**19 assuming q is positive.\nAnswer: q**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18 + (2 - 1))*1. Let s(z) = -z**3 - 16*z**2 + 18*z + 30. What is the smallest common multiple of 2 and s(h)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - (4 + -1)) - ((-13 - 70) + 21)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 0*b**3 - b**4 + 2*b**4 + (2*b**4 + 0*b**3 + 0*b**3)*(-2 - 1 + 1) to the form t + o*b**3 + p*b**4 + s*b + n*b**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t**2 + 5*t - 6. Let z(g) = -15*g**2 + 9*g - 12. What is -11*y(h) + 6*z(h)?\nAnswer: -13*h**2 - h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 10 - 27*d**2 + 45*d**2 - 19*d**2 + 3*d - 18*d + 9*d. Let u = -20 + 12. Give n(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4185 and 7470?\nAnswer: 694710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**0)\/s*s)\/s)\/s*s\/s**2*s**(-8)*s*s**(-2\/5))**(13\/7) assuming s is positive.\nAnswer: s**(-611\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1151018069823 and -0.082?\nAnswer: 1151018069823.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2*l**5 + l**5 + (3*l - 3*l + 2*l)*(-4*l**3 + 4*l**4 + 4*l**3) + (-3*l + l + 0*l)*(7*l - 7*l - 2*l**4) + 31*l**5 - 15*l**5 + 8*l**5.\nAnswer: 38*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17975 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8710106066.6 - 16310\nAnswer: -8710122376.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - 11001 = 66*j - 8241 for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -43. Suppose -n*k + 314 - 8 = 0. What is the first derivative of k*j + 17*j**3 + 20 - 51*j wrt j?\nAnswer: 51*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 73*m + 246. What are the prime factors of d(-29)?\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -91, -94, -99, -106, -115?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4536954.36711 + -4536868. Let j = 86.33 - b. Let i = j + 0.038. What is i rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*v + 29 = 0, -4*d + 5*v - 17 = -0*d. Solve -d*i - i + 14 = -c, 2*i - 2*c = 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*1*387\/(-516).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f - 92 = 0. Suppose -4*s + 4 = 4*a - 36, f = 5*a - 4*s. Calculate the remainder when a is divided by (-44)\/(-10) - 2\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -60, -107, -192, -327?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11229.\nAnswer: 3, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 + (621 - 1))*1 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - -213. Suppose -73*p = -54*p - 456. Calculate the remainder when r is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*g = -54, 26*m - 23*m = 3*g + 48. Which is smaller: m or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*y = 26, 7*x - 44 = 3*x - 4*y. Let d = 695 - 690. Calculate the smallest common multiple of d and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89244499388 + 2447.\nAnswer: -89244496941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 8 = 4. Suppose 0 = 3*m + u, 5*m + 6 = -3*l + 2*l. Suppose l*f - 45 - 43 = 0. Is 21 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -0.5 (c) -7302 (d) 7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 1632 - 653 = 61*h + 823 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7680048?\nAnswer: 2, 3, 160001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 199 - 203. Let b(o) = 9*o**3 + 3*o**2 - 4*o. Let a(t) = -8*t**3 - 2*t**2 + 3*t. Determine l*a(h) - 3*b(h).\nAnswer: 5*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 8*a - 7. Let k be n(8). Let o = k - -4. Sort -1, o, 5 in descending order.\nAnswer: 5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-62)\/((-12 - (-5 - -5)) + 10). Solve 2*q + d - 6 = 0, -w*d + 33*d + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*h + 18, 0*h + 4*h + 10 = -3*c. Let w be -1 + c\/(-3) + -1. Which is smaller: 2\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -346 + 349. Suppose 4*v - 13 = -5. Suppose 0*z - 5*z = 2*r - 37, 10 = 2*r - 4*z. Solve 3*u + d*l = 9, -5*u + r = l + v*l for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 28*c + 22*c + 0*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*w**2 + w + 91*w**2 + 1 + w)*((2*w + 3*w - 3*w)*(-3 - 3 + 5) + 6*w - 6 + 6).\nAnswer: 4*w**3 + 8*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65 - 65. Suppose 2*t + 2*t - 20 = p. Solve 2*m - t = -m + 2*x, -5*x = -2*m + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291795 to the power of 1\/2, to the nearest integer?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1043556050 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000246372796 to seven decimal places.\nAnswer: -0.0002464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + f**2 + 12*f + 6. Suppose -13*w + 63 = 11. Let m be r(w). Let s = -53 - m. Let b(x) = -x**3 + 7*x**2 - 4*x - 5. What is b(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 1. Let x be -3*16\/12 - 2. Let h(y) = -9*y**3 - 6*y**2 - 6. Let g(t) = x*w(t) + h(t). Find the third derivative of g(z) wrt z.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1409369 divided by -85?\nAnswer: -1409369\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -31. Suppose -5*c + 46 = 3*a + 12, -4*c + 32 = 4*a. Suppose -c*w = -w - m. Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.364*-31731.7.\nAnswer: -11550.3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -11*n**3 + 9*n**2 - 30. What is the second derivative of u(i) wrt i?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33738.33 to the nearest ten.\nAnswer: -33740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 7*p + 6. Let o be w(6). Suppose o*d = -4*d. Suppose d = -k - 46391 + 2391. Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 92310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.070557 + -5.30146\nAnswer: -5.230903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(11)*-2 + -2 - (1 + sqrt(11) + -3)).\nAnswer: -3*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19\/4 of a microgram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10403 + -10402. Which is the third biggest value? (a) 203 (b) n (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 3, e: 2, y: 1, k: 4}. Give prob of picking 2 k and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 - 0.3. Let k = 91.2 - 91.2. Which is the smallest value? (a) k (b) 1\/6 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2321, -4640, -6959, -9278, -11597, -13916?\nAnswer: -16235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -53.7 in 45, 3, -0.55, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -304, -469, 10 in increasing order.\nAnswer: -469, -304, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3416\/48 - (-2)\/(-2). Let a = -70 + o. Let n = 4.1 - 0.1. What is the closest to 1 in n, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = 4*m, 30 - 21 = -b - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7266 + 7265.999996122. What is x rounded to seven dps?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 - (3 + (-8 - -5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 + -20.8.\nAnswer: 89.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1858*o = 6380*o + 280364 for o.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*761 - -2)*1. Suppose -4*o = q + s, 0*q + 3 = -3*q. Let l = 951 + o. What is l rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b = 10*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + y = 3*k + 1, y = 4*k - 3. What is the first derivative of -k*j + 5*j - 5*j**3 - 3*j + 3 wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 + 8*j - 6. Let c be ((-9)\/4)\/((-2)\/(-8)). Let f be w(c). Factor -4 - f*s**2 + 5*s**2 + 2*s**3 - 2*s + 2.\nAnswer: 2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -270, -150, 48, 324, 678, 1110, 1620?\n\"Answer: 39*h**2 + 3*h - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*260\/(-1360)*-12?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -22.3. Let c be (-2)\/26*4*5\/(-20). What is the nearest to c in v, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -348*d + 339*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/4)\/(19810\/(-7924))?\nAnswer: 47\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -33*b**3 - 95*b**2 - 5*b - 2. Give q(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-4*sqrt(85) - (sqrt(85) - -3*sqrt(85)*3))\/((((sqrt(45)\/sqrt(3))\/sqrt(3) - sqrt(5)) + sqrt(5) - sqrt(5)*2*6)*1))**2.\nAnswer: 612\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-55822)\/(-6441))\/((-52)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, z: 2}. What is prob of picking 1 z and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16 + 2*t**2 - 16. Let s(m) be the first derivative of -4*m**2 - 345. Give w(s(d)).\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -132.8\nAnswer: 135.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/15, -1079?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 33033229 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000425881 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qhvhhqvqqqqqhvvhh. Give prob of sequence vhhq.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.8 and 2.2.\nAnswer: -43.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10011 - -1112?\nAnswer: 11200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 2*f + 12. Let c be n(0). Is c\/(-4)*(-295)\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -1. Suppose -f*l + 0*l = 0. Let n be (-3)\/4 - (-9)\/12. Is n at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**8\/d*d**(6\/11))\/(d*d\/d**9*d*d**3\/d))\/((d**(-7)\/d**(-1\/2))\/((d\/d**(-2)*d)\/d*d**2)) assuming d is positive.\nAnswer: d**(507\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3689178*w**2 - 450332*w - 4 wrt w.\nAnswer: 7378356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 0) + ((-756)\/(-27) - 23).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (12 - 18) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 30*g**2 - 10*g + 22. Let r be d(-16). Let m be ((-1)\/(-1) + 0)\/((-18)\/r). Let w = -92 + m. List the prime factors of w.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 9. Let h(y) = y**3 - 11*y**2 + y - 6. Let o be h(11). Let m(l) = 9*l - 20. Let p be m(o). Let t = -30 + p. What is a(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, 34, 4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 6:33 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 960?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 11 (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6 and 2*-1 + 6450\/1100.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 412819048?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(65*w**2 + 17*w**2 - 8*w**2)*(2*w + 2 - 2) + 15*w**3 + 49 - 49.\nAnswer: -133*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bb5 + 4?\nAnswer: -bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/4 (c) -3 (d) 0.2 (e) -3\/10 (f) -25\/434\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d + 4. Let b(n) = 4*n + 3. Let l(o) = 25*o + 8. Let z(u) = u - 1. Let x(y) = l(y) - 6*z(y). Let j(q) = 11*b(q) - 2*x(q). Determine 4*j(a) - 5*r(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**3\/4 - 828*q**2 - 40095*q\/4 - 22599 = 0. Calculate q.\nAnswer: -9, -3, 1116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(19)*-1*-2)**2 - (-4 + 1 + (sqrt(76) - sqrt(19))).\nAnswer: -sqrt(19) + 383","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 517928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -2 + 1 - 2*v**2 + 3*v**2 - 5. Let o(f) = -5*f**2. Determine o(s(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**2 + 5*o - 4. Let j(m) = 5*m**2 + 2 + 5*m - 5 - 2. Let d(n) = -3*j(n) + 4*l(n). Let w be d(-6). Sort -4, w, 0.\nAnswer: -4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*f - 17*f - 3*f - 41*f - f - 21*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab5785 (base 13) to base 2.\nAnswer: -100001110100100110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a - 18. Let m(v) = 8*v - 5. Let u(z) = 11*m(z) - 4*p(z). Let t(h) = -7*h + 33. Calculate -3*t(r) + 5*u(r).\nAnswer: r - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4853*v**2 + 19*v - 4. Let t(y) = -2427*y**2 - 10*y + 2. Let x(b) = 3*s(b) + 5*t(b). Is x(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 2 b, and 1 u when four letters picked without replacement from {o: 1, n: 1, v: 2, h: 1, b: 2, u: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 49 = -9 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*c - 4*c - 44850 = -50*c. List the prime factors of c.\nAnswer: 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -6*a + 28. Let x be z(5). Put 3, 2, x in ascending order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 1718001.\nAnswer: 2\/1718001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168995755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 65 = 2*h - 5*h, 76 = 4*h - 4*m. Suppose 1 = -5*u + h. Suppose -2*y - 3*v + 12 + 12 = 0, -3*y + 30 = 3*v. Solve u*o = 2*o - y for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*b + b + 4*a, 2*b = -5*a. Let u(v) = v**2 - 16*v - 3. Let n be u(b). Let r = -25 - n. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by 50429\nAnswer: 200\/50429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p + 10. Calculate the remainder when (-57)\/(-6)*2\/1 is divided by j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4952 and 32188.\nAnswer: 64376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(44)*-6 - (sqrt(44) + -5*sqrt(1584)))\/(-6*-3*(sqrt(16) - sqrt(16)*-1 - sqrt(16))).\nAnswer: 11*sqrt(11)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1039\/6, -4 in decreasing order.\nAnswer: 1039\/6, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 2.67 (b) -8 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, q: 7, z: 1, r: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**3 - l**2 - 5*l - 5. Let m be (-10)\/(-4) - (-1)\/2. Let k = m + -10. Let y(b) = -13*b**3 - b**2 - 7*b - 7. Determine k*n(p) + 5*y(p).\nAnswer: -2*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -73*w**3\/3 + 53*w + 821. Let z(m) = -2*m. Give z(i(u)).\nAnswer: 146*u**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -817 + 817.0215. What is i rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3*l + 25 = -d, 3*d = -l - 5. Solve 2*g - 4*g + 4 = d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -89680585158064 and -0.4.\nAnswer: -89680585158064.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. What is the greatest common factor of x and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57503596 and 1?\nAnswer: -57503596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 9*i**2 - 6*i - 3. Let r be h(-9). Let j = -28 + r. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 20 = -5*r, 7 = -2*r + 6*r + f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(0 - 2 - -1). Suppose -p = b + 10. What is the smallest common multiple of (6\/9)\/((-5)\/b) and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 16*l + 8605 = 0. Let f = -446 + l. Let j = f + -6336\/5. Find the common denominator of j and 61\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/(sqrt(80)\/sqrt(8)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-2 - 1 + 0)*(2*t - 3*t**5 - 2*t).\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 151.469 + 0.031. Let r = m + -152. What is the biggest value in -0.04, -7, r?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -275*b - 12. Let g(p) = -802*p - 35. Let z(u) = -12*g(u) + 35*i(u). Let d(c) = -6479*c. Give d(z(t)).\nAnswer: 6479*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -3*o + 11. Let v be (16\/o)\/((-1)\/5). Differentiate -5*z**3 + v - 6 + 4*z**3 + 4*z**3 with respect to z.\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t - 11. Let u(z) = 35*z - 32. Let h = 108 - 91. Let p(a) = h*l(a) - 6*u(a). Let v(m) = 5*m - 4. Determine -3*p(j) - 4*v(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*20*(-621)\/(-5400)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*c**3 - 9 - 4 + 10)*(-c - 2 + 2) as w*c + k*c**4 + m + l*c**3 + y*c**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -4859\/27, -6\/5, 35?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of 0*a**5 + 0 + 5\/24*a**4 + 0*a**3 - 7*a**2 - 19\/336*a**8 + 0*a**7 + 0*a**6 + 0*a. What is the second derivative of s(q) wrt q?\nAnswer: -380*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 14*k**2 + 2*k - 14. Let z be n(14). Is z smaller than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(11\/((-275979)\/(-630))). Let p = c + 562\/15. Find the common denominator of p and 8\/(-4) - (-18)\/(-44).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0765 - 96959281.24.\nAnswer: -96959281.3165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110420136*g**2 + 58076*g + 2523 wrt g?\nAnswer: 220840272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2, -w - w + i + 13 = 0. Let x = w + -3. Suppose 0 = 3*b - x, -2 + 11 = -5*v - b. What is the closest to 0.3 in -1, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, y: 2, n: 2, k: 1, w: 1, t: 1}. What is prob of picking 1 y, 1 k, and 1 j?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + h - 2*h)*(2*h**2 - 2*h**2 - h**3) + 16*h - 4*h - 14*h**4 - 13*h as q*h + g*h**4 + f*h**2 + k + b*h**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - -2 - -5) + 2. Let p(i) = 3*i + 7. Let u be p(k). What is the greatest common factor of u and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 7}. Give prob of sequence az.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011100110101101100000 + 10010?\nAnswer: -10001011100110101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20801\/38 + 11022\/19. Let k = -1151 + r. What is the common denominator of -1 + -1 + (-33)\/14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -42. Let c = -20.995 - j. Let k = c - -0.028. Round k to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + -0.48. Let z = 43.9 - 42.9. Which is the nearest to g? (a) z (b) -0.4 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 19*j**2 - 17*j - 1099. Calculate b(-21).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2))**1*(m*m*m**2)**(5\/4) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 166385?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -73599712, -147199417, -220799120, -294398821, -367998520, -441598217?\n\"Answer: y**2 - 73599708*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3*u - 3 + (3 + 0 - 4)*(2*u - 5*u + 4*u) + 0*u - u + 0*u)*(-1 + 6 - 3) as h*u + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 3. Let k be q(4). Let f = -8 - 0. Let d be (-6)\/f - 1\/2. Which is the second biggest value? (a) -1\/2 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b43064 (base 13) to base 14.\nAnswer: -12b1753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 14 - 55*v - 8)*(2*v - v + 7*v) in the form r + b*v**2 + d*v and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934307.\nAnswer: 3, 7, 234967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(22))\/sqrt(11) - sqrt(392))*-4 - ((sqrt(18)*-3 - (sqrt(2) - (sqrt(98) + -3 - sqrt(98))))**2 + 4).\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 3*v + 14 = 0, -v = -2*o. Suppose 16 = o*g - g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1 + 1 + 3 + 3*n. Let c(z) = -z**3 + 6*z**2 + 7*z + 10. Let a be c(7). Suppose v + a = -4*v. Give j(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**2 - t**2 + 0*t**2)*(-477*t**2 + 46*t**2 - 1410*t**2) + 4*t**2 - 4*t**2 - t**4 in the form d + m*t**4 + z*t + a*t**3 + y*t**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/2 - 573211*r**3\/2 - 1146419*r**2\/2 - 573209*r\/2 = 0. Calculate r.\nAnswer: -573209, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**5\/60 - m**4\/3 - 2*m**3 - m**2. Let v be u(9). What is the least common multiple of 22 and (-256)\/(-12) - 2\/v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w**2 - 106*w + 288. Let d be k(6). Let a = 7 - 3. Which is greater: d or a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + x - 1. Let i be ((-2)\/1)\/(-5 + 4). Let v be (i - 1) + 1 + -4. Determine y(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 108, 239, 422, 657, 944, 1283?\nAnswer: 1674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*91\/(-182).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -166 - -267. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 0*s**4 + 0*s**3 - 4*s**2 + 0*s + 0*s**6 + 1\/160*s**5 - 1\/560*s**7 + 0. Factor m(r).\nAnswer: -3*r**2*(r - 1)*(r + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 2*g + 4*k, 2*g + k - 5*k - 486 = 0. Suppose -4*u + g = -0*y - 3*y, -y = -1. Let z = u + -8. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8712379 is divided by 653.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 1:42 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*h**3*j**3 - 7*h**3*j + 2*h**2*j**4 - h**2*j - 2*h*j**2 wrt j?\nAnswer: 108*h**3 + 48*h**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -4*a + 3 - 19, -4*a + 2*o = 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cob when three letters picked without replacement from ofbbgfgbbbggbfbgbcfg?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9997 + -30532\/3. Let r be (-4)\/20 + (-59689)\/330. Let g = f - r. Find the common denominator of g and 50\/27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1399798981*s**2 - 30*s - 5890418 wrt s.\nAnswer: 2799597962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.46471798405909 and 5.\nAnswer: 5.46471798405909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 28192*v**2 + 17*v. Let l(k) = 118*k. Determine t(l(x)).\nAnswer: 392545408*x**2 + 2006*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3990355*b**2 + 3990346*b**2 - 884*b - 55*b**4 + 163*b**4 wrt b?\nAnswer: 1296*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 2376.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 693a1b - -1b?\nAnswer: 693a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 96161 = 5*d, 2*d - 21385 = -r + 17071. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -1\/20*q**5 + 5\/2*q**2 - 7\/6*q**3 + 0 + 5\/12*q**4 - 3*q. Let x = -4 + 8. Give u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)*u)\/(u**(-1\/2)*u)*u**(-2\/15)*(u\/u**(-4\/5))\/u*(u**2*u\/(u**(1\/4)*u))\/(u\/(u*u**0))**(-45) assuming u is positive.\nAnswer: u**(233\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2840840*l**4 + 130*l**2 + 317*l - 13 wrt l?\nAnswer: -68180160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 j when four letters picked without replacement from fjyyffkjjjyjkkfjyk?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(-3 - 2 + 3)*(5*a - 4*a - 2*a) - 536*a + 282*a + 622*a.\nAnswer: 364*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {d: 1, g: 2, x: 2, k: 1, r: 1, q: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446449013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d09 (base 15) in base 3?\nAnswer: -1200200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, h: 4}. Give prob of picking 2 a and 2 h.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308 divided by -17840?\nAnswer: -577\/4460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 4, 3, -3 in ascending order.\nAnswer: -3, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*h + 835 = 0, 10*k + 358 = 12*k + 4*h. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2. Let l(a) = -168*a - 162. Let b(n) = 14*n + 13. Let x(h) = 25*b(h) + 2*l(h). Determine r(x(k)).\nAnswer: 1372*k**2 + 196*k + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5325587 (base 9) in base 12?\nAnswer: b56297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0629 - 0.062899302. What is v rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 4328, -9 in decreasing order.\nAnswer: 4328, 3, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**8\/1512 - h**7\/945 - h**6\/540 + h**5\/270 + h**2\/2 + 3*h. Let s(x) be the first derivative of z(x). Factor s(q).\nAnswer: 2*q**2*(q - 1)**2*(q + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 36 + 3. Suppose -2*b - 4*h = 3*b - 91, -5*b = -2*h - 67. Let l be (-2)\/(-3) - (-155)\/b. Calculate the greatest common divisor of o and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 15 = u, d - 21 = -4*u - 2*d. Suppose 0 = 23*h - 14*h + 909. Let s = h + 110. Solve u*t - 3 = s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + (-1 - -4) + 0\/(-76). Let n = -6\/101 + -362\/707. Which is the fourth smallest value? (a) 5 (b) m (c) n (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/189? (a) -5\/8 (b) 1\/3 (c) -1\/4 (d) 2 (e) -4 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*i - 4, -4*i + 6 = p + 2. Let s(v) = 15*v + 1. What is the remainder when 90 is divided by s(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/3 - 11522*s**2 + 2394440*s\/3 - 786624 = 0. What is s?\nAnswer: -17352, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:34 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 9. Let d = i - -10. Suppose 2 = d*v - 2. Solve -5*s - v = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/2*(-4)\/6. Suppose 0 = -z*c - 5*a + 3 - 13, -2*c = a. Solve 4*p - 40 = 5*w, 4*w + 4 = -2*p - c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23436970 to the nearest ten thousand.\nAnswer: -23440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 8. Let x = 52.2 + -52. What is the closest to l in -5, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -901267*j**2. Let o(u) = 2*u - 99. Determine o(n(r)).\nAnswer: -1802534*r**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.035 - 22. Let m = y - -15.465. Let u = m - 16. What is the nearest to -1 in 0.4, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.1 - 1.03. Let d = 0.23 + w. Let k = 0.5 - d. Which is the biggest value? (a) -5 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 7\/13, -0.1, 4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 21*c - 10 - 15 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -201*n**4 + 705*n**3 - 749*n**2 + 277*n - 32. Let o(i) = 604*i**4 - 2116*i**3 + 2248*i**2 - 832*i + 96. Let c(z) = -16*l(z) - 5*o(z). Factor c(r).\nAnswer: 4*(r - 2)*(r - 1)*(7*r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 3335785350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 8:06 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 188618 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**3*s**4 + 432*p**3*s**3 + 7*p**3*s**2 - 335*p**2*s**2 + 2*p*s + 2*s**4 wrt s?\nAnswer: -48*p**3*s + 2592*p**3 + 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*i + 17 - 62, -5*i + 40 = 4*z. Suppose z*w + 0*w = 5. Is w\/(-2)*-10 - -2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 350*l**2 - 2744*l - 35672.\nAnswer: 2*(l - 14)*(l + 7)*(l + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsspsss. What is prob of sequence ps?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ew when two letters picked without replacement from {d: 7, w: 1, v: 6, e: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13091.4 - -11572. What is u rounded to the nearest 10?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 3 = 7*g. Suppose 0 = -g*z - 2*z - 5*f + 3075, 0 = -z - 4*f + 621. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-8) - 26*(-3)\/(-48)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714973073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*27\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 1371\nAnswer: -29\/1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, 149, 433, 665, 827?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7878.91+191552\nAnswer: 199430.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 less than or equal to -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54100*m - 54101*m - 4*f = -20, 43 = 5*m + f for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111032 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: Is 95920247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85 + 75 + 60 - 49)*(2*a**3 - 3*a**3 + 2*a**3).\nAnswer: 171*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91 + 3 + -6 + -1 + -1 + (-9 - -1)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/8 and 59\/56278503?\nAnswer: 450228024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078 (base 12) in base 8?\nAnswer: -3434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*j - 42 - 15, -5*j = -4*w + 61. Let d be ((-21)\/j - 2)\/(-1). Let m = -0.4 + 0.6. Which is the nearest to m? (a) -0.3 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -6*sqrt(300)*-2 - (sqrt(300) - (-1 + sqrt(300)))*-3)**2.\nAnswer: 780*sqrt(3) + 50709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1618569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 656 - 655.9849. Let x = 157 - 157.0552. Let c = x + j. Round c to 3 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 4*f + 5. Let z be g(5). Suppose 3*w = -o + 15, 0*o - o = z. Suppose 0 = -2*d + w + 3. Solve d*j + 2 = 3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of 229*j**4\/6 + 7*j**3\/6 - 103*j**2 + 660*j. Find the second derivative of t(x) wrt x.\nAnswer: 916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from iggggigiigigiiii?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17654773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1312132 (base 6) to base 13\nAnswer: 26888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s + 1\/3*s**3 + 0 - 1\/3*s**4 + 1\/60*s**5 - 97*s**2. Give u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01126 + -0.01674. Let z(j) = -2*j + 2. Let d be z(3). Which is the third smallest value? (a) y (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*b**4 + 100 - 30*b - 21\/2*b**3 - 59*b**2.\nAnswer: -(b - 1)*(b + 2)*(b + 10)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((2\/(-3))\/((-1128)\/180)*100\/250).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 72 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r - 14. Let t be z(-9). Solve t*m + 4*y - 12 = 0, 4*m + 4 = 3*y - 19 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 22 = 5*g. Let o be (g\/(-5))\/(1\/5). Solve 6 = -w + o*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, j: 5}. What is prob of sequence ojo?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2*y**3\/27 + 62*y**2\/9 - 464*y\/9 + 1344. Factor u(o).\nAnswer: -2*(o - 58)*(o - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40736675*o**2 - 1422678*o - 9 wrt o?\nAnswer: -81473350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/2 - (-15)\/10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170767.\nAnswer: 170767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, 2\/3, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (66 - 33) + (-39 - (-27 - -46))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 1954465?\nAnswer: 7817860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187214 = -13*v + 2001. Does 41 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*p - 26*p = 62304. Suppose 40*k - 7*k - p = 0. Calculate the remainder when k is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 20 = -n - 4*c, 3*n - 3*c - 60 = 0. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158105\/18 - -8792. What is the common denominator of 161\/60 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x**5 + 0*x**3 + 0*x + 37\/2*x**2 + 5\/3*x**6 + 0*x**4 - 18. What is the second derivative of w(f) wrt f?\nAnswer: 200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14005\/119 at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 6*g**2 - 9*g - 10. Let w = -17 - -10. Let b be s(w). Suppose b*n = 3*n - 5*n. Sort -5, n, -4 in ascending order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 117\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = -2*y. Let r(p) be the second derivative of -1\/5*p**6 + y*p**5 + 0 + 1\/12*p**4 + 0*p**2 + 0*p**3 + p. What is the third derivative of r(n) wrt n?\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 82026, 82030, 82046, 82080, 82138, 82226?\n\"Answer: l**3 - 3*l + 82028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -22, 5, -2\/9, 0.4559 in descending order.\nAnswer: 5, 0.4559, -2\/9, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -c + 53. Let v(h) = 19*h**2 + 6*h**4 - 9*h - 15*h**4 + 3 + 2 + 4*h**3. Let b(n) = n**4 + n**2 - n + 1. Let i(j) = c*b(j) - 2*v(j). Factor i(m).\nAnswer: 4*m*(m - 1)*(m + 1)*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 417*q**3 - q**2 + 85 wrt q?\nAnswer: 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:07 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 310991777?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184*a**3 + 372*a**3 - 186*a**3 - 26*a + 2 + 62*a**5 wrt a.\nAnswer: 1240*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/6)\/((-3)\/(-4)). Sort -5, 5, g.\nAnswer: -5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 18 = -3*o, o - 3*u - 17 + 4 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**2\/7 - 47923515*g\/7 - 95847018\/7 = 0.\nAnswer: -15974503, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9453, -9457, -9461, -9465, -9469?\nAnswer: -9473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 1\/2*k**3 + 7\/8*k**4 + 0 - 4\/35*k**7 + 7\/20*k**5 - 4*k**2 + 0*k + 1\/7*k**8 - 23\/40*k**6. Let d(t) = 0. Calculate t.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 239*k**4\/32 + 719*k**3\/16 + 9*k**2\/8 + 2*k + 450. Find i such that c(i) = 0.\nAnswer: -3, -2\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1083, -957, -625, 15, 1065?\nAnswer: 2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b692 - -3?\nAnswer: 1b695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -875*z**2. Let u(a) = 44*a. Give h(u(n)).\nAnswer: -1694000*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 - 13*h**2 + 9*h + 16. Let i(p) = -8*p**3 + 41*p**2 - 25*p - 43. Give 4*i(g) + 11*s(g).\nAnswer: g**3 + 21*g**2 - g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 3*w + 3*w**2)*(w - 6*w + 3*w)*(648 + 911 + 189) + 2*w**3 + 3 - 3.\nAnswer: -10486*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -161, -331, -487, -623, -733, -811, -851?\n\"Answer: t**3 + t**2 - 180*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:48 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (4 + -3) - 49. Let w = s - -44. Let t(l) = l**3 - 10*l**2 + 5. Let a be t(10). Put w, 0, a in decreasing order.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**3 + 7354*h**2 - 173*h - 4007161 with respect to h.\nAnswer: 6*h**2 + 14708*h - 173","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/44)\/(1771\/(-2783))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-3)*m)\/(m*(m*m\/(m*m**6))\/m))\/(m*(m**(-1)\/m)\/m)**19)**(-1\/17))**(5\/13) assuming m is positive.\nAnswer: m**(-205\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917617621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -37*j - 56. Which is the closest to j? (a) -1 (b) 4\/7 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260\/39*(315\/14)\/(-15)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107 - 96 - 98 - 108 - 108*a**3 + 407.\nAnswer: -108*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-735))\/(18\/(-14))*(-6)\/40.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3164 (base 16) to base 14\nAnswer: -4872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2088 = -19*v + 7*v. Let p = 259 - v. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**8\/1344 + x**7\/210 + x**6\/120 + x**2\/2 - 2*x. Let n(k) be the first derivative of r(k). Solve n(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.3 (b) -1 (c) 67 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/11, 4, -615, 1\/6 in ascending order.\nAnswer: -615, -3, 1\/6, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1163769, 1163577, 1163385, 1163193?\n\"Answer: -192*t + 1163961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (-19 + 53)*-2)*2\/(-30).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -710*x - 338 + 174*x + 174*x + 179*x + 182*x.\nAnswer: -x - 338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 334126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-3 + 12 - (13 + -8)) - 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 - -48 - (-13 - 9 - -5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -82919.\nAnswer: 66335.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 1. Let d be (1 - 7) + -2 + 5. Let i be -1 + ((-7)\/6 - d). Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 + 4*l - 57. Let y be f(-10). Which is smaller: 48 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 94369?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4 = -3*x - 16, -2*f - 2*x + 16 = 0. Suppose -n + 20 = -f*n. Is 12*3\/(2 - n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-8))\/((-6)\/(-4)). Find the second derivative of 2*z - 3*z - 4*z**2 - x*z + 5*z wrt z.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-3 + (3 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - -1 - 3)*-1. Let s = 4 - p. Let l = s + 9. Solve l*i + 4*i + u - 21 = 0, -16 = -3*i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:05 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 98776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 641072 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14614*s + 14610*s + v + 103, -5*v - 125 = -5*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 24939 in decreasing order.\nAnswer: 24939, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2491, -5355, -8207, -11041, -13851, -16631, -19375, -22077?\nAnswer: -24731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 6:26 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -153916.\nAnswer: 5\/153916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2114 by 151.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhid when four letters picked without replacement from hiiihddddd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 636776240 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 - -30. Let j = 1 - 5. Let q = j - -6. Which is the closest to 0.1? (a) q (b) -3\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7248, -7249, -7250, -7251, -7252?\n\"Answer: -h - 7247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17712 is divided by 5888?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.91. Let x = t - 0.09. Are x and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*s + 19, 3*r - s + 2*s = 8. Suppose -r*y + y = -6. Solve -9 = -4*g - y*l, 2*l = g - 4 - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 2310.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2\/7 - 282*b - 392472\/7 = 0.\nAnswer: -711, -276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**6\/240 - l**5\/40 + 13*l**4\/12 - 33*l**2. Let f(r) be the second derivative of i(r). What is f(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -9202*q + 331220. What is r(36)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203596 + -763.056.\nAnswer: 202832.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**2 + j + 1. Let t(i) = 26*i**2 + 5*i + 6. Let c(d) = -11*m(d) + 2*t(d). Determine c(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 - 1. Calculate k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -5\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1709 - -1714. Solve -r*x + 25 = -x - 5*t, 0 = -x - 2*t - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1648001?\nAnswer: 1648001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. Suppose -r = -g - g. Find the second derivative of -4 + 1 + 3 - 2*f - 2*f**g wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 5*u**2 + 5*u + 1. Suppose 40 = -8*p - 0*p. Give c(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -m + 4*h - 4, 0 = -5*m + 2*h + 100. Let r(s) = -8*s + 3. Calculate the remainder when r(-4) is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9 - 2\/9*o**2 + 2\/9*o.\nAnswer: -2*(o - 2)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207864335 divided by 7?\nAnswer: -29694905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 402 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67475 = 2356*l - 366687 for l.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/288 and -137\/144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmmtmtm. What is prob of picking 1 m and 3 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/300 and 119\/32700.\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10179, 20344, 30497, 40638, 50767, 60884, 70989?\n\"Answer: -6*i**2 + 10183*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 7. Let w be z(-4). Suppose 21 = s + 3*v, 5*s + 17*v - 18*v = 57. Solve -2*i - 7 = -w*l, -2*i - i + s = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -10*g - 40. Suppose -3*i + 5*a - 2 = -3, -2*a + g = 0. Solve 1 = -4*l - 3*y, -l - i*y + 21 = -2*y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eegg when four letters picked without replacement from {e: 7, g: 4}.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*v**2\/2 - 13593*v\/4 - 332343\/4 = 0. What is v?\nAnswer: -297, -373\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -257 * -1.3\nAnswer: 334.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5114580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20228.000105475 + -20228. What is i rounded to six decimal places?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, m: 13, v: 4}. Give prob of sequence mmmm.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l + 104. Let u(w) = -2*w - 1. Calculate g(n) + 6*u(n).\nAnswer: -2*n + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 113482 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 305 + -303. Solve -2*m - h*m = 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -95382 and 30837.\nAnswer: -64545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p - 5. Let h be -2*2\/(-8)*(-2 + -6). Let b be 345\/h + 5\/(100\/5). Let x = 90 + b. Determine s(x).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2844*a + 2810*a + 2550 = 0 for a.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-five halves of a year in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**4 + 165*m**3 - 4830*m**2 + 50600*m - 176064 = 0.\nAnswer: 8, 12, 14, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*r + 18858 = 18298 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -4*z - 7, 0 = h - 4*z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 46 + -42 + -11 + -11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*f + 42, 16*f - 47*f = -27*f - 8 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170642?\nAnswer: 2, 3, 11, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 + 18*d**2 - 4 - 14*d**2 - 2*d**3 - 9*d**2 - 3*d. Suppose -7*o + 5*o = -180. Calculate the remainder when o is divided by f(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 - w - 2. Let a be k(-4). Suppose 0 = -4*r + r - 3. What are the prime factors of 9 - (-1 + r) - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/16833 and -52\/549.\nAnswer: 3080439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:22 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 21 = 2*f. Let i be 4\/26 - (-102)\/13. Suppose -3*p + p = -i. Solve p*s - 2*s - 8 = -2*x, f*x = 4*s + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3101, 2995, 2771, 2429, 1969, 1391?\n\"Answer: -59*i**2 + 71*i + 3089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iipppiyopppni. What is prob of sequence pi?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/13145 and 1\/49 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vhehdhjhdhehdjd. Give prob of picking 2 e and 1 v.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-522)\/54*(-555 - -12). Calculate the highest common divisor of 29 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 318 - 184. Suppose 7*q = y - 36. Let k = q + 26. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258 is divided by 143?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3191*w**4 - 2*w**3 - w**2 + 7*w - 896238 wrt w?\nAnswer: 12764*w**3 - 6*w**2 - 2*w + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2 and 37\/41.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -147*p**3 + 80*p**3 + 83*p**3.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61885315 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.111, -1\/2, 0.3?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 0*q**2 + 6 - 8 - 1365*q**3.\nAnswer: -1365*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27417*b**4*u - 5*b**4 - 4*b**2*u + 4551*b**2 + 2*b*u wrt b.\nAnswer: -658008*b*u - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x + 71 + 57 = 0. Find the third derivative of -103*p**2 + 70*p**2 - 16*p**6 - x*p**6 wrt p.\nAnswer: -2880*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.77 - -16.93. Put 1, n, 3\/5 in descending order.\nAnswer: n, 1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - 0.046. Let h = -0.02 + o. What is h rounded to 3 dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-1\/2)\/y*y))**(-1\/27)\/((y**1*y*y)\/(y*y**(1\/8))))\/(y**1\/(y*y*y**5*y*y)*(y\/(y*y**(1\/3)))\/(y**1*y)) assuming y is positive.\nAnswer: y**(1823\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.6 (b) 7 (c) 1 (d) -46 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - u + 2*u)*(-2*u**2 + 3 - 3) - 3731*u + 21*u**3 + 3731*u to y + g*u**2 + c*u**3 + f*u and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -1\/120*o**5 + 0 + 1\/252*o**7 - 1\/60*o**6 - 21*o + 1\/24*o**4 + 0*o**2 + 0*o**3. Factor p(q).\nAnswer: q**2*(q - 3)*(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11603228.\nAnswer: 2, 7, 13, 127, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d5d1d (base 15) to base 5\nAnswer: -133143303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6 = m, 6 = -4*h + m - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooozzooo. What is prob of picking 2 o?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -60. Let c(d) be the first derivative of 3\/5*d - 1\/25*d**5 + 0*d**w - 12 - 4\/5*d**2 + 2\/5*d**3. Factor c(g).\nAnswer: -(g - 1)**3*(g + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 - 59 = -3*w, -5*n + 3*w + 304 = 0. Suppose -107 = -g - 2*d, g - n = 4*d + 21. Let l = g + 104. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*j - 9. Differentiate 5 + 5*l + 4*l + 2*l**4 - j*l with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21 = 2*y - 8*o, -3*o = y - 5. Let m(v) = v**2 - 9*v + 12. Let n be m(y). What is the second derivative of -2*a - 2*a**4 + 0*a - n*a + 3*a wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 743.128445 to zero decimal places.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12340162 or 12340120?\nAnswer: 12340120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -16 + -1 - (7 + (37 - 47) - 4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnngngnn. Give prob of sequence ngn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 167.54 + -169. Let n = 0.46 + l. Which is the nearest to n? (a) -2\/13 (b) 0 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1326908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z + 12*z - 4912 + 4912. Suppose -2*g - 4 = 0, 7*g + 14 = 2*k + 4*g. Let h(u) = 4*u - 13*u**2 - k*u. Calculate h(o(q)).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 15*q + 104 = 2*p, 4*q - 108 = -2*p. Solve -55*n + p*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 303*x. Let s(f) = 2*f. Give n(s(g)).\nAnswer: 606*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -137 - -147. Solve -4*m + 18 = -2*r, 4*r - m = -6*m - o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*k**4 - 76*k**3 + k**2 - 3*k - 4945?\nAnswer: -1368*k - 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r**2. Let n be (-2)\/4*6 - -27. Let k(f) be the first derivative of -2*f**3 + 1 + 0 + 24*f**2 - n*f**2. Give u(k(b)).\nAnswer: 180*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/15*745\/4. Let r = -37 - f. Let h = -63.6 - -64. What is the third biggest value in r, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143125776 divided by 27998.\nAnswer: 5112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161 * 0.3.\nAnswer: 48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -135282179 divided by 67\nAnswer: -2019137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2224 = -60*t - 74*t for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.806196cm to meters.\nAnswer: 0.04806196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*h - 40 = 0, -5*w = -w - h + 60. Let q = 21 + w. Suppose -q*x - 2*c = -224, x = -0*x - c + 46. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3.1. Let d = -43 - -15. Let m = 30 + d. What is the closest to w in -2\/9, -1, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 0 + 4 + 10 - m. Let d = -7 - -13. What is the remainder when l(d) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**5 - 2*a**4 - 44369*a**3 - 290844*a**2 wrt a.\nAnswer: -60*a**2 - 48*a - 266214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 6?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15821, -63282, -142383, -253124, -395505, -569526, -775187?\n\"Answer: -15820*u**2 - u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 10. Suppose p - j - 6 = -5*u, -4*p + 4 = 4*u. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 404*x**3 - 30364*x**2 + 4800*x.\nAnswer: 4*x*(x - 75)*(101*x - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s - 5*p, 0*s + 15 = 3*s - p. What is the second derivative of -5 + s - h + h**2 - 2*h**2 wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 0 + 360\/(-182). Let o = f - 204\/1001. Let m = -0.157 + 0.107. Which is the nearest to m? (a) 0.3 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k**3 + 30 - 3*k**2 - 8693*k + 8634*k - 4*k**2. Is q(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 65*s**3 + 52*s**2. Let g(o) = -o**2 + 6*o - 2. Let a(q) = q**3 + 6*q - 2. Let z(h) = -a(h) + g(h). Give j(i) + 52*z(i).\nAnswer: 13*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 - -151. Suppose -85521 = 2*t - 429527. Suppose -q - t = m, -8*m + y*m = -q + 859997. What is m rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 7 = 21*h. Let q be ((-156)\/(-21) - 6)*h. Which is the second biggest value? (a) 5 (b) q (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 4. Let b be n(0). Suppose 0 = -4*l - b*a + 27 + 5, a = 4*l - 17. Suppose 38 + 47 = l*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -t**2\/2 + 3*t - 1. Let r be y(3). Suppose -4*z + 9*z - 100 = r. Solve -4*q = 5*u - z, 3*u = -5*q + 2*u + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 2:29 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -98001 and 0.2.\nAnswer: -98000.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x**2\/7 + 10896*x - 30520 = 0.\nAnswer: -7630, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + 4*z + z**4 + (3*z - 4*z + 2*z)*(-5*z**3 - 4*z**3 - 2*z**3) - 6*z**4 + 1 - 1 in the form v*z**4 + k*z**3 + a*z + j + u*z**2 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 7:30 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1142353 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2166, -2180, -2194, -2208, -2222, -2236?\nAnswer: -2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3537615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73380 and 30168964.\nAnswer: 4892","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.3, 3\/11, 3\/7, 0.01 in decreasing order.\nAnswer: 3\/7, 0.3, 3\/11, 0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (1 - 446\/(-40)). Let b = k + -97\/30. What is the common denominator of (-4)\/(-10) + 866\/60 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14038020*w**3 - 213*w**2 - 381*w - 9.\nAnswer: 84228120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4188550?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -117, -254, -403, -570, -761?\n\"Answer: -y**3 - 130*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*b)*(6*b + 4*b - b)*(31 - 40 - 61) in the form f + t*b + k*b**2 and give k.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206568043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*n*n)\/(n**3*n)*(n\/((n*(n\/(n**(-1\/4)\/n*n))\/n*n)\/n)*n)**(2\/37) assuming n is positive.\nAnswer: n**(3\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/83739 and -20\/753651?\nAnswer: 753651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*i + 18 = -3*z, 0 = 4*z - 2*i - 6. Let y = z - 2. Find the second derivative of -4*d**3 + 3*d**3 + y*d**3 - 2*d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 1 = 2*p + j, j + 5 = 0. Find the third derivative of 26*z**2 - 7*z**2 + p*z**6 - 13*z**2 wrt z.\nAnswer: 960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + 6d0452?\nAnswer: 6d043f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6137500 to the nearest ten thousand.\nAnswer: 6140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6674.88511 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-63))\/((-105)\/784) + -6 - (-284)\/(-10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/9, -2\/5, 3, 1.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s\/((s*s**(2\/5)*s)\/s*s)))**(-1\/15)\/(s*s**3*s*s**1))\/((s*(s\/(s**2*s*s*s*s))\/s)**(15\/7))**(2\/11) assuming s is positive.\nAnswer: s**(-23939\/5775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37987134?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22121021 (base 3) to base 13\nAnswer: -2b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 66. Let l(t) = -41*t + 40*t - r + 15. Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3\/9 - 268*h**2\/9 - 4556*h\/9 - 4292\/9.\nAnswer: -4*(h + 1)*(h + 29)*(h + 37)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 48 + 59b?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 632 - 1397. Let s = i - -771.874. Let m = 0.026 + s. Round m to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/17)\/(655\/2227)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175732187 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**5)\/((x**2*x)\/x))**(2\/15))**(3\/23) assuming x is positive.\nAnswer: x**(-12\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.007883 and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 + 9*l + 11. What are the prime factors of z(-5)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 + 4*i**4 + 5*i**3)*(230 - 167 - 116)*(-3 + 0 + 1).\nAnswer: 424*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/30 + y**2. Let b(n) = n. What is v(b(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 2 = 3*z. Let g = 15.3 + -13. Let b = g + -2. Sort b, -0.5, z.\nAnswer: z, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 7*t - 2*t. Let g(w) = 2*w - 29. What is the remainder when 12 is divided by g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42380786022 and 1.\nAnswer: 42380786023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51601951.\nAnswer: 907, 56893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 98, 103, 82, 29, -62?\n\"Answer: -w**3 - 7*w**2 + 33*w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14669.8847 - -908\nAnswer: 15577.8847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11009, 11042, 11065, 11072, 11057?\nAnswer: 11014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*1*6\/28. Let z be 21\/((-9)\/(-3)) - 2. Let l be (4\/z)\/(1512\/(-540)). What is the closest to 2\/5 in l, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16\/7 (b) 1114 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-30)\/(-3) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05309 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-2 + (1 - 0)). Let r = 1.8 + -2.7. Let d = r - -0.5. What is the closest to 0.2 in q, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 8 - -2) + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -761 < -760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5780 divided by -10.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000717 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15*g**2 + 19*g - 5. Let x(r) = -20*r**2 + 28*r - 7. Calculate 7*l(u) - 5*x(u).\nAnswer: -5*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 41 = 4*o, -4*o - 31 = -15. Suppose 0*l = -u + 2*l - 7, -j*u + 3*l = 0. What is the remainder when 27 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21578993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e - -207e?\nAnswer: 208c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2806, 2803, 2798, 2791, 2782?\nAnswer: 2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 - 13*l - 17. Let f(s) = 2*s**2 - 7*s - 9. Determine 7*f(n) - 4*g(n).\nAnswer: 2*n**2 + 3*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -49. What is the second biggest value in 0.06, c, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*m - 0*m. Suppose -6 = -m*l + 2*o, -4*l + 5*o = l. Solve x + 4*t - 5*t = -5, 2*t = -4*x - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**2 - u**3 + 3*u**2)*(2 - 6 - 2)*(1 - 3 - 1)*(u + 0*u + 4*u) to the form s*u**3 + n + t*u**2 + l*u + h*u**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*m - 564 = 431*m + 300 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2100220 (base 3) to base 14\nAnswer: 8b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 159.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**4 + 3*j**3 + 2*j**2 + j. Let n(t) = 6*t**4 - 578*t**3 + 8*t**2 - 239*t + 1. Let p(l) = -n(l) + 4*x(l). Find the second derivative of p(h) wrt h.\nAnswer: -24*h**2 + 3540*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**2 - 20*x**2 + 6*x + 87*x.\nAnswer: -x**2 + 93*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**4\/5 - 1939*n**3\/5 + 931262*n**2 - 1974649124*n\/5 - 3967938984\/5 = 0.\nAnswer: -3453, -2, 758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2 - 267*s + 567*s - 287*s. Let v(a) = -8*a**2. What is v(x(w))?\nAnswer: -1352*w**2 - 416*w - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22968.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10101101111100111001 (base 2) to base 9\nAnswer: 1305332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -834 + 2594 = 16*t. Calculate the highest common divisor of 154 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z + 2. Let p be f(1). Let -4*q**4 - q - p*q**4 + 3*q**4 + q**3 + 5*q**4 - q**2 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h\/h**5)\/h*h)*h)\/h**(-2\/11)*(h\/(h\/h**(-1\/4)))**(1\/2) assuming h is positive.\nAnswer: h**(621\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 12:41 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 483 = 465. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-22) + (-96)\/(-44). Suppose 0 = o + q - 2 - 0, 3*q = 4*o - 15. Suppose -o*d + 8*d - 5 = 0, 5*d = -y*s + 227. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 10. Determine d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2140, 3121, 4144, 5209, 6316?\nAnswer: 7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -291 + 465. List the prime factors of i.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/(v*(((v*v\/(v*v**12*v*v*v*v))\/v)\/v)\/v)))\/v)*v)\/(((v**14\/v)\/v)\/v))\/(v\/(v\/(v\/v**(-1)))*v**(2\/9)\/v*v) assuming v is positive.\nAnswer: v**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 4*d - 27, 1 = -4*d + 2*m + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v + 3*v - 8 - v. What are the prime factors of q(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*k = 18*k - 213 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -6885 in increasing order.\nAnswer: -6885, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3349 + 1124 + 1284)*(4*p**2 - 7*p**3 - 4*p**2) in the form b + r*p**3 + s*p + g*p**2 and give r.\nAnswer: 6587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 = 0, 3*l = 3*b + 31 - 10. Let u(a) = a**3 - 45*a**2 - 142*a - 16. Calculate the remainder when u(48) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3206689.\nAnswer: 79, 40591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/38 - -13\/19. Let y(g) be the first derivative of d*g**2 + 0*g - 4. Let z(a) = 8*a. Determine y(z(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 568493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4954540 divided by 1238635.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 213300*w - 426610. Give n(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 18*f + 9*f - 2*f**3 - 2*f**2 in the form y*f**2 + i + q*f + w*f**3 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200312122 (base 4) in base 6?\nAnswer: 12300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a992 (base 11) to base 2.\nAnswer: 11100010100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiwieeiv. What is prob of sequence ee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 + 117 + 33 + 2 + -6 - 4.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -n**4\/12 + 113*n**3\/3 - 12769*n**2\/2 - 3*n - 28. Solve b(p) = 0 for p.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3485*o + 645. Let x(p) = -109*p + 20. Determine -2*b(q) + 65*x(q).\nAnswer: -115*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**3 - 18*b**2 + 39*b + 40. Let v be d(3). Solve v*o = 197*o + 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-90))\/((-8)\/(-20))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 18*k + 19. Let f be p(-17). Let c be 21*4\/f*6. Let j be 7 + -8 - (-4 - -1). Let v(y) = -y + 7. Let q(w) = -1. Calculate c*q(o) + j*v(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o + 8*o. Suppose 0 = 5*l - 3*p - 75, o*l + 5*p = 3*l - 61. Solve -y - 2*y = -l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -18 + (7 - 3) - (-29 - -6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 65727, 131405, 197081, 262755, 328427, 394097, 459765?\n\"Answer: -v**2 + 65681*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 8:24 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 14 = 10. Let i(n) = 2*n**3 + 16*n**2 - 10*n - 8. Does 12 divide i(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8130098, 8130090, 8130082?\nAnswer: 8130074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -15592*a**3 + a**2 + 2*a - 1. Let l be y(1). Let h = l + 186929\/12. Find the common denominator of h and 43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1274)\/714 - (-11)\/(1683\/18)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610*l**2 + 0*l**3 + 303*l**2 + 0*l**3 + 15*l**3 + 303*l**2.\nAnswer: 15*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*-1*(-85)\/(18785\/204)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -24265\/58147 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*q + 1. Let w = q - -2. Let s be ((-7 - -4) + -2)*(-16)\/20. Sort w, -3, s in descending order.\nAnswer: s, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.14 - -48.14. Let d = -0.5 + 0.3. What is the second biggest value in -0.1, d, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1 (c) 0.4 (d) -555 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g**3 - 21*g**2 + 46*g + 16. Let l(s) = -6*s**3 + 4*s**2 - 9*s - 3. Let p(f) = 2*i(f) + 11*l(f). What is the second derivative of p(a) wrt a?\nAnswer: -24*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1053) + (sqrt(1053) + 1 - sqrt(1053) - sqrt(1053)))*3*-1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 1, g: 2, t: 1, u: 1, r: 1}. Give prob of sequence dr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3447 + -2804?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*n - 51*n - 712 = 9733 + 1389 for n.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1\/3, -0.0413?\nAnswer: -0.0413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + t = -118, -2*b + t = -t - 80. Suppose 5*z - 4*r - b + 8 = 0, -4*r - 7 = 3*z. Calculate the highest common divisor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1106.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80071a + -1?\nAnswer: 800719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/3))**(-11) assuming u is positive.\nAnswer: u**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 5384*k**3 - 2386224*k**2 + 334732384*k + 5988906496.\nAnswer: -4*(k - 454)**3*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 + 2*m + 6. Let c be o(7). Suppose -3*h + 5*w + c = -30, -10 = -2*w. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*d**2 + 6*d - d + 7*d**2 - 2*d to the form l*d + q + p*d**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 3*h**2 + 5*h + 3. Calculate the remainder when w(4) is divided by 3 - (15\/(-10) - (-2)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/12 and -21\/35742188.\nAnswer: 107226564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 175, 520, 1063, 1810, 2767, 3940?\n\"Answer: t**3 + 93*t**2 + 59*t + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from {t: 1, d: 3, u: 4, p: 1, e: 2, j: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43083444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 3*v - 9. What is q(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -606, 10, -4, 0 in descending order.\nAnswer: 10, 0, -4, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -716, -1081, -1448, -1817, -2188, -2561?\nAnswer: -2936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -11*k - 10, -n - k = -580. Calculate the remainder when n is divided by 121.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + 11131?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from {j: 1, f: 1, p: 1, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387*-1085.\nAnswer: 419895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-83 - 25 + 28)*(0 - 3 + 4)*(0*y**5 + y**5 + y**5).\nAnswer: -160*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (766*t**3 + 2266*t - 2266*t)*(-4 + 2 + 1 + (-1 + 2 + 0)*(-4 + 1 + 2))*(-9*t**2 - 11*t**2 + 4*t**2).\nAnswer: 24512*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/4 - 2*j**3 + 15*j**2\/2 - 4*j + 20. Let v be s(-8). Solve 0 = 2*y - 4*y + v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tfttftfffj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.6, -2\/5, -2\/11, 12\/7, 103?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/4, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 126 = -14*y. Let x(h) = h**2 + 13*h + 16. List the prime factors of x(y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 220*a = -223*a - 154, -10*r - 3*a + 202 + 162 = 0 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g**4 + 2*g - 3*g**2 - 3*g**2 - 3*g**4 to the form l*g**4 + r*g**3 + i*g**2 + s + m*g and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b*b**20)))**(-2\/89)*b**18\/(b\/b**(-6\/25)))**(-11\/3) assuming b is positive.\nAnswer: b**(-398651\/6675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - 87. Find the first derivative of -577*z - 36 + 577*z - d*z**2 wrt z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42091*f**3 - 35*f - 211 wrt f.\nAnswer: 252546*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-10)*(4 - -1). Let w be 1 + -4*(-1)\/1. Sort o, w, -5 in descending order.\nAnswer: w, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 13.58.\nAnswer: 40.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 967?\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.63 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Let m be 4\/(-14) + (2472\/14)\/v. Let j = m + -83. Which is the fourth biggest value? (a) 0.2 (b) -0.1 (c) j (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(15)\/sqrt(3)) + 0.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 - (-187 - -179)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 15*l - 2232 = 0. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1080 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 6a0?\nAnswer: -69b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.9 + 5.1. Let x = s - 22.1. Put -1, -5, x in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c**2 + 7*c**2 - 2*c**2)*(2*c + 2*c - 2*c)*(5*c**2 + 2*c**2 - 4*c**2).\nAnswer: 168*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3714 - 1?\nAnswer: 3713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*z = -101*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -38965, 5, -11\/2, -4, 0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46483 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.3420504 rounded to 2 dps?\nAnswer: 39.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**6\/240 - 11*o**5\/120 + 3*o**4\/8 + o**2. Let f(p) be the second derivative of l(p). What are the prime factors of f(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1636, 3332, 5028?\nAnswer: 6724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10\/9 + -41\/45. What is the second smallest value in 3\/2, 0.09, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d. Let l(b) = 285*b - 3. Let t be l(2). Let a(f) = -58*f**2 - 6*f + 28*f + t*f**2 - 22*f. Determine g(a(y)).\nAnswer: -509*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123150587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25118424 divided by 236?\nAnswer: 106434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 - 40) + 1 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15092*5\nAnswer: 75460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + i - 38. Determine d(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84798 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -863 = -6*v + 2*v + m, 2*m = 5*v - 1075. Suppose -5*t + 173 = -v. Suppose 16*a - 3*a - t = 0. What is the remainder when 14 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 - 14*v - 42. Give z(-3).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 15. What is the remainder when 31 is divided by y(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (446 + 4)\/25 - 25?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 - 42*r**2 - 2*r**3 + 43*r**2.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.0682123 rounded to three decimal places?\nAnswer: -25.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**2*v**4 - 46*b**2*v**2 - b*v**2 - 10*v**5 wrt v.\nAnswer: 264*b**2*v - 600*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121939953 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12452458*q**4 - 531348*q**2 + 6*q?\nAnswer: 298858992*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29428672 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12469521 rounded to four dps?\nAnswer: -0.1247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -782 - -782. Suppose d = -2*z - x - 7, -4*z - 3*x - 11 = 6. Let s(k) = -8*k - 1. Determine s(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + p + 5. Let f(s) = -726*s + 2*s**2 + 1423*s - 694*s + 11. Determine -2*f(t) + 5*r(t).\nAnswer: t**2 - t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 510884482 a multiple of 8383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 + 1149 = 3*z - 4*g, 1775 = 5*z - 2*g. Calculate the highest common factor of z and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2159172 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 7 = 3*z, 95 = 2*k + 93 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38783 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -19 + (2 - -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -124613540 divided by 46?\nAnswer: -2708990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 11*s = -5. Let n(g) = 4*g**2 - 3*g - 7. Let x be n(s). Suppose -10*l + 13*l - x = 0. Calculate the greatest common factor of l and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4 - 110*u**3 + 1196*u**2 + 2816*u.\nAnswer: -2*u*(u - 11)*(u + 2)*(u + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v + 8, -5*i + 3*v - 8 = 0. Let r = i - -21. Let x = 108 - 65. Calculate the remainder when x is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.057 + 0.157. Suppose -5*b + 10*b + 50 = 0. Let f = 13 + b. Sort m, f, -5, -4.\nAnswer: -5, -4, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 19 + 21. Solve -j + 2*c = n*j + 10, 5*c - 6 = -2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 7:38 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -994792, -994755, -994718, -994681?\n\"Answer: 37*t - 994829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*v + 31*v = -19*u - 5, -5*v = -4*u + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.0422 - 115. Let x = 0.045 - d. Round x to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbbl?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 = 6*l + 66 + 68 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6013949 - -25562.\nAnswer: -5988387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = -15*g - 4. Suppose -5*t + 7 = 2*z, 0*t - 8 = -g*t - z. Solve 16 = 3*m + 4*q + t, -5*m + 15 = 5*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 342\/325 (b) 6 (c) -1\/4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102662103 to the nearest integer?\nAnswer: 10132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b1a3d (base 14) in base 8?\nAnswer: 1502507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*g = -17, 4*v + 0*g - 14 = g. Suppose 0 = s + 1 - 6. Put 2, s, v in decreasing order.\nAnswer: s, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**5\/30 + 9*f**4\/8 + 10*f**3\/3 - 47*f**2 - f. Let z be q(15). Is -95\/4 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -591492, -2365952, -5323378, -9463764, -14787104?\n\"Answer: v**3 - 591489*v**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44514570 to the nearest integer?\nAnswer: 6672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - 2*h**2 + 2*h - 1. Let k be f(1). Let m = 21 + k. Let a be 44\/6 + 104\/(-78). What is the greatest common divisor of m and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 333 and 70929.\nAnswer: 70929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, c: 9}. Give prob of sequence wwww.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 0.071018021?\nAnswer: 2.928981979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 12) in base 10?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 15) to base 9\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (2 - (-20)\/16). Suppose 1\/2*i + 0 + 1\/4*i**3 + u*i**2 = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9775 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1696803 and 20928.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 8*b**2 - 5*b - 4. Suppose 3*i + i - k = -33, -3*i = 5*k + 19. What is the tens digit of o(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 326046 and 2450.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 30127.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 5, -2, -0.1, -0.01313633, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 48. Suppose -3*t = 5*i - z*i + 577, 0 = -4*i + 3*t + 1139. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-8 - -13) + 2 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 317*j**3 + 85*j - 1. Let x(t) = -1903*t**3 - 510*t + 6. Let l(p) = 2*x(p) + 13*z(p). What is the second derivative of l(w) wrt w?\nAnswer: 1890*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -19. Suppose 3*q + 2*f = 13, 4*f - i = -7. Which is smaller: q or 40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 0.5. Let v = -0.5 - s. Let o = -6 + 8. Which is the nearest to 0.1? (a) v (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.162 - -1.418. Let z = 0.02 + g. Round z to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**3 - 8*q**2 + 7*q - 4. What is the remainder when 121 is divided by n(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1149 - 1149.07262. Round t to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 927 (b) 0.6 (c) -0.908\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32539 + 6)*4\/20?\nAnswer: 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469568?\nAnswer: 2, 47, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**6\/30 + z**5\/60 - z**4\/8 - 14*z**2. Find d such that p(d) = 0.\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 102.9329 and 4.5.\nAnswer: 463.19805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1846216*o**5 + 333*o**2 + 2676 wrt o?\nAnswer: -110772960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 1, l: 1, b: 1}. What is prob of sequence zzfb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 10*l**2 + 135*l + 802. Let d be n(-5). Let s(c) = 2*c**2 - 4*c. Let a be s(-3). Solve -d*z = -5*u - a, 0*z - u - 9 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, n: 5, t: 5}. What is prob of picking 2 t and 1 n?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3116 is divided by 358?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -k. Which is the fourth smallest value? (a) -0.2 (b) -5 (c) 4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 1:06 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-17 - -11)*(-2)\/(-4). Let g be (4\/6)\/((-20)\/186). Let y = g - -227\/35. Is f greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8771 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23627 - -0.09673. Which is bigger: m or 4.1?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-3)\/15) + (-7 - 142*(-17)\/34).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p - 4. Let s be a(4). Let x be (0 - -27)\/(12\/s). Suppose 0*r - 17 = -f + r, -f = -2*r - x. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c**1\/c)*c)*c*c)**(-18))**(-3)\/((c**(-1)\/c*c)**(2\/7)\/(c**(-2\/3)\/(c\/(c*c\/(c\/((c\/c**(3\/7))\/c*c)*c)*c)))) assuming c is positive.\nAnswer: c**(2272\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let q(p) = -6*p + p**k - 6 - 7*p**2 + p**3 + 10. Calculate the least common multiple of q(7) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-314)\/(-20410) - (-538)\/(-1170)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1775*u**3 - 27107*u**2 - 208684940 wrt u.\nAnswer: -5325*u**2 - 54214*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, -382, 255\/91?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 354.1 - 52.1. Let y = n + -160. Let f = 141.99999604 - y. Round f to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.3 (b) -2 (c) 0 (d) 0.2 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42850787 + 0.038142\nAnswer: -42850786.961858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121133312 + -10?\nAnswer: -121133322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/7, -5, -1.7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16961005 to the power of 1\/2, to the nearest integer?\nAnswer: 4118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3440900.32 and -14513?\nAnswer: 3455413.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/(b\/b**(-5)))*(b*b\/b**(-3)*b*b)\/b assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.94 + -1.24. Let x = 7 - 6.5. Let u = x - h. Round u to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**2 - 19912*d + d**2 - 2*d**2 + 19661*d to z + y*d**2 + w*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**7\/840 + 13*n**6\/480 + 197*n**5\/120 + 91*n**4\/12 + 2*n**2 + 2*n - 1601. What is a in w(a) = 0?\nAnswer: -13, -2, 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -22.706. Let z = -0.694 - r. Sort -0.2, z, 3\/2 in decreasing order.\nAnswer: 3\/2, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*i = 5*f + 99*i - 203, -3*f + 4*i + 124 = 0. Determine k so that -50\/3*k**3 + 50\/3*k - f - 5\/3*k**4 + 125\/3*k**2 = 0.\nAnswer: -12, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 + -21. Let p = h - -102.9. Round p to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 89*i - 1274 = -4*i. Solve -25 = 5*q, 54*a - i = 52*a + 3*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -39*p**2 + 4*p + 23. Let o(s) = 22*s**2 - 2*s - 13. Let c(v) = 4*h(v) + 7*o(v). Give c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -263\/9. Let u = -2.5 + -0.5. What is the nearest to 2 in -2, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 164 - 129.8. Let o = 34.19999995 - w. Round o to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618.9 less than 16192?\nAnswer: 15573.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.4 - -8. What is the third smallest value in 14, 0.3, s?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/(-27)*2*(-9)\/24. Put -1, h, 34 in decreasing order.\nAnswer: 34, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j + 139 = 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 = 35. Let o be ((-6)\/7)\/((-2)\/n). Let g be (9\/o + 0)*-2. What is the second smallest value in -0.1, g, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 10610?\nAnswer: -10611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -95680 divided by -3\nAnswer: 95680\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 651*o - 1455*o - 14 + 652*o.\nAnswer: -152*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.77 and -1363759?\nAnswer: 2413853.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -5) + -2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from dkvdvkvdvvdvdkdkkdk.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 + 8 + (-1 - -17) - (10 - 0).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-10) - 4\/(-10). Suppose -5*m - 7 = 388. Let i = -317\/4 - m. Do i and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(76))**2 - (3 + sqrt(19)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627543 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 - 76*z**2 - 14*z + 14. Let a be u(-15). Let q = 2\/137 - -264\/685. What is the closest to 0.08 in a, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 44 = 4*q - 0*t, 70 = 5*q + 5*t. Suppose 7*p + o - 358 = 4*p, -3*p + 4*o = -368. What is the least common multiple of q and p?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 207, 209, 211, 213?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-2350)\/940*(2\/(-1))\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (35\/(-45)*-6 + 5\/(-3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**4 + h**2 - 3*h**2 - 10*h**3 + 10*h**3 - 81*h**4 + (h**4 - 2*h**4 + 0*h**4)*(2 - 4 + 3).\nAnswer: -84*h**4 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -171.5 - -136. Let m = 3.5 + t. Let c = m - -31.59. Round c to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292996 is divided by 19298?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/33)\/(r*r**(-3)*r*r*r))**(1\/25) assuming r is positive.\nAnswer: r**(-7\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107 + 127 + 147)*(-h**2 - 4*h**2 + 3*h**2).\nAnswer: -334*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*i + 1 - 38*i + 2*i**3 - 3*i**2 - 9 in the form f*i**3 + x + m*i**2 + c*i and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2 + 5\/2). Suppose 0 = -4*g + v*x - 10, -3*x = -2*g + g + 5. What are the prime factors of (g\/5)\/(2\/(-25))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-10)*200\/80.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 268*s**2 + 13*s - 13. Let l(g) = 132*g**2 + 7*g - 7. Give -11*l(m) + 6*p(m).\nAnswer: 156*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*z + 11180 = 0, -15611 = -6*i - z + 1167. What is the least common multiple of 1398 and i?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -300143*d**2. Let i(n) = 2*n. What is i(l(b))?\nAnswer: -600286*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1485, 5768, 12917, 22938, 35837, 51620?\n\"Answer: v**3 + 1427*v**2 - 5*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14769545 is divided by 832?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbq when three letters picked without replacement from gqgbb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1240*p + 3784 - 7603 + 3760.\nAnswer: 1240*p - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((0 + 5)\/15). Suppose s - 3 = -0*s. Suppose -h + s*h = 10. Solve u*x - 7 = -5*c, h*x - 17 = -c - 2*c for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3*w + 2*w + (4 - 4 - 1)*(0*w - 5*w + w))*(-w**2 + 0*w + 0*w).\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -51\/2*o**4 + 0*o**3 + 0*o**2 + 33*o + 153. What is the derivative of b(y) wrt y?\nAnswer: -306*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-33))\/((-11036)\/(-267))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 746.964km?\nAnswer: 746964000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose 2*c - 6 = 5*c, -3*j = 5*c - 629. Suppose 2*t = -5*f + j, -120 = -l*f + t + 10. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7935 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 2, 57982, -2 in descending order.\nAnswer: 57982, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1 - (5 + -5). Let x = h - -6. Suppose i = x*i - 20. Sort -5, i, 0 in ascending order.\nAnswer: -5, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27 + 28 - 18 + 9*h**3 - 57*h**3 wrt h.\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -65341274 - 1?\nAnswer: -65341275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1466 + 1463. What is the third smallest value in -8.1, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9.274037km?\nAnswer: 927403.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3757 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + t + 1. Let p(q) = 3*q**3 - 4*q - 2. Let b(r) = r**3 + 5*r**2 + 9*r + 5. Let n be b(-3). Give n*c(m) - p(m).\nAnswer: m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -92304130 minus 511?\nAnswer: -92304641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*i + 13*i + 5*i = -108 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**3 + 16616780*t**2 - 16616776*t = 0.\nAnswer: 0, 1, 4154194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -169656*a**2*k**3 + 72*a**2*k + 2*a**2 - 65*a*k**2 - 3*a - 3 wrt k.\nAnswer: -1017936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 7*m - 12. Let b be d(-4). Suppose b = 3*g - 2*g - 71. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09913 to 3 dps.\nAnswer: -0.099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*b - 15, 7 - 1 = -2*b - 2*t. Solve 2*o + 3*j = -1, 19 = -b*o + 2*j + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*n = 210*n - 24 - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, 62, 247, 530, 911?\n\"Answer: 49*p**2 - 60*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 11*z**2. Let j be (-1)\/2*(-3 + -1). Let d be 0\/((j + -4)\/(-2)). Let i(l) = 2 + d - l - 2. What is i(b(n))?\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-5) + (-18)\/(-3). Let k(f) = -f**2 - 12 - t*f**2 - 3*f**2 + 9*f**2. List the prime factors of k(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76 + -85 + 101\/9. Sort h, -1\/3, -4, -0.3.\nAnswer: -4, -1\/3, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -10. Suppose -l = 2*l + 33. Let w = f + l. Calculate the remainder when 38 is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229 or -212?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1 + (6*(-1*sqrt(208) + sqrt(208)) + 1*sqrt(208)*-1 - (-1*sqrt(208)*-3 + -3*(sqrt(208) + 1)))) + 2)**2.\nAnswer: -320*sqrt(13) + 3428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 31. Suppose -14*a - b = -19*a. Suppose -c = 3*u - 41999, -a*u + 2*u + 69997 = 3*c. Round u to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 395 and 64622?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 9*v + 11. Let i be t(9). Let l(d) = 10*d - 1. Let h(g) = 2. Let y(b) = 2*h(b) + l(b). What is the hundreds digit of y(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/21 - 15156*n - 318270\/7 = 0. Calculate n.\nAnswer: -159135, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1469548555.\nAnswer: 5, 9293, 31627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34344 and 71358246.\nAnswer: 285432984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1, 210\/17 in descending order.\nAnswer: 46, 210\/17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/9)*o**6)\/(o**(-6\/7)*(o*(o*o**(-7)\/o*o)\/o*o)\/o))**(5\/4) assuming o is positive.\nAnswer: o**(995\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -1055525121?\nAnswer: -1055525124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, n: 1, t: 3, x: 5, l: 5}. Give prob of sequence xxz.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/6)\/(v\/(v**(-4)*v))*(v**0)**(-23) assuming v is positive.\nAnswer: v**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18349768 and 2108.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1207 - 1199 + 3498 - 1147 - 2*v + 53*v**2 + (-3*v + 3*v + 2*v)*(4 - 4 + 10*v) to the form o + t*v + b*v**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*n + 23 = 0, -n - 12 = -2*z + 23. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12762430 rounded to the nearest one hundred thousand?\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 6\/((-2)\/(24\/18)). What is the third smallest value in 0.05, 0.1, -1\/2, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 102.6. What is the biggest value in 3\/5, q, 0.5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3613, -6979, -10345?\n\"Answer: -3366*c - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23446 - 7 = 456*t + 9379 for t.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*f - 27, -4*f + 11 = -11 + 26. Let v(x) = x**2. Let r be v(2). Suppose 0 = -r*j + 3*j. Solve -3*m = -3*i + 21, j*i = a*i + 2*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -479.1 + 479. Is z greater than or equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112638 (base 9) to base 8\nAnswer: 204005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w - 25. Let c be q(-2). Solve -6 = -c*h - 0*h - 2*o, o = 2*h - 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/(-26)*-7 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -87*m - 72. List the prime factors of k(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1613*m - 1613*m - 2*m**3 - 80*m**2)*(1 + 2 - m + 0) as y*m**3 + r + z*m**4 + b*m**2 + q*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 41936080 a multiple of 879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -23. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61097151937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.072 - -0.026. Let o = m - -0.002. Let n be (6\/4)\/(-3)*-2. Which is the closest to n? (a) 0.5 (b) o (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b + 17. Let l be o(3). Suppose -6*i = -3*i. Let k = i - -5. Solve -k = -l*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10202221 (base 3) to base 11.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.1, 0.2, 3, 9145, 4 in increasing order.\nAnswer: -0.1, 0.2, 3\/7, 3, 4, 9145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -46 + 46 + -1 + -1 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 2:07 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 6. Suppose -1 = 4*y + 4*m + r, -m = 5*y - 15. Solve -4*h = -2*u + 2, 4*u + 25 = -3*h - y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 10*k - 6*k)*(-1 + 1 + 4*k + 2)*(-6 + 0 + 3).\nAnswer: 180*k**2 + 90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x*x**(1\/6)\/x)\/x))**(1\/15) assuming x is positive.\nAnswer: x**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - ((38 - 8) + -17 + (0 - 25)) - 10.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62704820?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 2. Suppose 4*w = f*w + 28. What is the highest common divisor of w and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y + 9*y = 16. Solve 23 = y*n + 17 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**2 + 12609*r = 0.\nAnswer: 0, 4203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*36\/90)\/(80\/300)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 11*g - 76. Let r = 8 + g. Which is bigger: -10 or r?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 - 42*w - 22. Let c be l(-4). Solve -3 = c*t - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -11. Let l = -13 - p. Solve o - l = -2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650 + 4*u + 1498 - 2017.\nAnswer: 4*u + 131","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 12*t - 5*t. Suppose 0 = 3*z + 4*d - 4, 4*z - 3*d + 3 = t. Solve z = -l - 36 + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273904, -547803, -821702, -1095601, -1369500, -1643399?\nAnswer: -1917298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22242 by -2.\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Let c(q) = q. Let i be c(s). Solve -4*m = -0*a - i*a + 7, -2*m = -a - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 10*s**3 + 6*s**2 - 48*s - 5. Let h(v) = -2*v**3 - v**2 + 1. What is -6*h(q) - x(q)?\nAnswer: 2*q**3 + 48*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, t: 3, z: 1, w: 1, a: 2, v: 3}. Give prob of picking 2 v, 1 w, and 1 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107993 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from qcccrrrcqqcqcrccq.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.16256 millimeters in kilometers?\nAnswer: 0.00009316256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 12, 3, -2, -5, 232.\nAnswer: -5, -2, 3, 5, 12, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 8*q**2 + 43*q + 351. Give f(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987756 is divided by 987751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*24\/(5400\/(-125))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -1\/4 (c) 1 (d) -0.1 (e) -5 (f) -0.13741 (g) -66\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 2:41 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -67752.15873 take away -0.00838?\nAnswer: -67752.15035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 6 - 32 - 24227*f**3 - 16465*f**3.\nAnswer: -40692*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 12*h**2 - 59*h - 289. Calculate z(-14).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 8*d + 12 = f, 9 = -3*d. Suppose -2\/13*p**2 + 0*p + 0 + 2\/13*p**f = 0. What is p?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -649 + 300 - 3925*x + 348 - 5891*x to the form y + k*x and give k.\nAnswer: -9816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -5*s + 8. Let y(v) = 2*v + 24. Let b be y(-18). Does 17 divide u(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g - 182*g - 44 = -5*a, 1 = g - a + 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c**2 + 14*c - 16. Let j(u) = -11*u**2 + 21*u - 24. Let r(z) = -8*i(z) + 5*j(z). Let m be r(6). What is the units digit of (2 - 1)\/(m\/106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 595, 1902, -1 in decreasing order.\nAnswer: 1902, 595, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65911872 and 5616.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - -732 - (7 + (4 - 4)) is divided by 54?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 376478 + 14137 = 9*u - 114114. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 3 + -10 - (-24)\/12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 0*o - 18 - 1\/2*o**2. Let l(b) = -3*b**3 - 6*b. Let a(h) = -h**3 + 4*h**2 + h - 5. Let k be a(4). Calculate k*l(y) + 6*p(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 - -63. Let i = -13 + l. Let y = i + -13.55. What is y rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/9 - -2)*-3. What is the units digit of 1\/n*212\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3149.\nAnswer: 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 171\/6*(-6)\/(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 117742 and -0.08.\nAnswer: -9419.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*o - 37*o = -93*o - 4*o + 2222 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4))\/s*s*s)**(-15\/4)\/(s\/s**(-1)*s)**(-45) assuming s is positive.\nAnswer: s**(2055\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 13. Let s be k(-7). Find the third derivative of 4*a**6 - 4*a**s - a**2 - 8*a**6 wrt a.\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 6. Let t(r) = -8*r - 74. Let k(g) = -3*g - 30. Let d(x) = 12*k(x) - 5*t(x). Let b(o) = 3*d(o) - 5*w(o). Let p(s) = 2*s - 5. Calculate b(p(l)).\nAnswer: 4*l - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/24 + 11*l**3\/2 + 59*l**2 + 6. What is p(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/8)\/7)\/(4\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2, x: 1, v: 4, k: 1}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n**2 - n + 81. Let h(i) = -18*i**2 + i - 83. Let a(z) = 4*f(z) + 5*h(z). Differentiate a(j) wrt j.\nAnswer: -36*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*w = -4*w - 16*w - 28798. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*(-21)\/(-105)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 + 4*b + 7. Let j be i(5). Suppose 18 = -j*n + 458. Is 220 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 0*c + 4*c - 6*c + 3*c. Let l(t) = -2621*t**2. Calculate q(l(i)).\nAnswer: -2621*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.589 - 3.089. What is the nearest to -10 in -1\/5, t, 5\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 9*w + 1. Let b be s(-1). Let j(x) = -2*x**2 - 7*x**2 - 7*x - 14*x**3 + 9 + 13*x**3. Let t be j(b). Solve 4*g = 3*o - t, -o - 3*g = -0 + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -4 - (-9 + -10) - (-11 + 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 518087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.62 - 37.82. Which is greater: 1\/2 or r?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 186 + -96. Let q = 89.51 - f. Let g = -0.4900143 - q. What is g rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - -2)\/(555\/1395 - 6\/93). Factor -16\/5*k + 2\/5*k**2 + 2*k**f - 2\/5*k**5 + 8\/5 - 2\/5*k**4.\nAnswer: -2*(k - 1)**3*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b39a52 (base 16) to base 15\nAnswer: -107781a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -449 + 464. Let i(n) = 11*n + 1. Calculate the remainder when i(8) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 4*f + 74. Let v(q) = q**2 - q + 25. Let y(b) = -2*m(b) + 7*v(b). What is the tens digit of y(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4399, 4432, 4465, 4498?\n\"Answer: 33*x + 4366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -101111100111001010000?\nAnswer: 101111100111001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smlm when four letters picked without replacement from slsssmmms?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*l - 15*l - 60191. Suppose 2*h - 3*h + 2*x + l = 0, 3*h - 5*x - 7856 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(210)\/(sqrt(90)*-2))\/(-2*(sqrt(700) + 5*sqrt(700)*2)).\nAnswer: -sqrt(3)\/330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**9*m**41 assuming m is positive.\nAnswer: m**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103601446 (base 7) to base 4.\nAnswer: 113232112123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 53?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*j - 26*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 4*k + 4. Let p be l(-5). What is the tens digit of p*(-72)\/(-6)*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*b - 3*w, 5*b = -w + 14 - 3. Suppose -5 + 3 = b*u, -2*q - u = -1353. Let r be q\/5 + 6\/(-15). What is the greatest common divisor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/275 (b) 0.2 (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o*v**4 - 3*o*v + 71*o + 113891*v**5 + 4407 wrt v.\nAnswer: 24*o*v**2 + 2277820*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 4:19 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*r**2 - 84678*r.\nAnswer: -2*r*(19*r + 42339)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1188 and -202998.\nAnswer: -202998.1188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1276 - -1817. List the prime factors of q.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -5\/12*y**4 + 0*y**3 + 2*y + 0*y**2 + 0. Let w(l) be the third derivative of l**5\/20 - 2*l**2. Calculate w(x(g)).\nAnswer: 75*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481259809 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvidhto. Give prob of picking 1 h and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(133) - -2*sqrt(133))*3 - 2*(sqrt(133) - -1*sqrt(133))))\/((sqrt(847) - sqrt(847)*-4) + sqrt(847) + sqrt(28)\/sqrt(4)*-2).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -85107 + -b42?\nAnswer: -86049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2344 - -1362. Is g <= -982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 57120552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58 or -2\/243?\nAnswer: -2\/243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, o: 12}. What is prob of picking 4 v?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 15*h + 76 = 0. Let j(v) = -2*v + 34. Let f be j(h). Which is the third smallest value? (a) f (b) -2\/7 (c) 3 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -794862262177.00003233 + 794862266591. Let i = -4414 + z. Round i to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/2? (a) -5 (b) -2\/11 (c) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -15*h**3 - 9*h**2 + 96*h - 36 = 0.\nAnswer: -3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 158.43 less than 657.7349?\nAnswer: 499.3049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 855332.\nAnswer: 855334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25958.97 times -0.1\nAnswer: -2595.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/96 at least -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*u - 18 = -17*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 825 and 803121.\nAnswer: 20078025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.6362565g?\nAnswer: 0.0000006362565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 4*w. Let u be q(5). Let j(i) = -8*i - 4. List the prime factors of j(u).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.498167ng to kilograms.\nAnswer: 0.000000000008498167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6320159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.109496 and 0.5?\nAnswer: -0.054748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or 492\/19?\nAnswer: 492\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48005324 a multiple of 3788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513349?\nAnswer: 17, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4307, -8628, -12935, -17222, -21483, -25712?\n\"Answer: r**3 + r**2 - 4331*r + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a9a (base 11) in base 8?\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 2. Let t(u) = 35*u - 28. What is -70*q(k) - 5*t(k)?\nAnswer: -105*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33017 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 2:49 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 62862 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + -37 + 55 + 88?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3806 + 3810. Let t = 1 - 3. Put n, t, 0, 1\/5 in descending order.\nAnswer: n, 1\/5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 3. Let i be (-1 + y + 2)*-16. Let p be i\/(-12) + 1 + 1. What is the smallest value in 3, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) - (2*sqrt(243))**2)*4.\nAnswer: -3888 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**3 + 38300793*y**2 + 122246067722457*y + 1100211507140067 = 0?\nAnswer: -6383461, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.09493 rounded to 1 dp?\nAnswer: -109.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*p - 25 = -0*k, k - 4*p = 9. Suppose 0 = -5*z - g + 140, 2*g - k - 51 = -2*z. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3*j + 6 = 0, 3 = 3*g + j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 21*f**2 - 174*f - 4*f**3 - 5 + 3*f**4 + 176*f + 4*f**3 to the form q*f**4 + d + h*f**2 + w*f + a*f**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20685*l - 20687*l - 41*q = 195, 4*l - 2*q - 30 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7191275 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + z = -2. Find the common denominator of (-9)\/((-162)\/(-75)) + 5 + 244\/(-36) and z\/(-30)*1070\/(-24).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-15))\/((-172)\/(-946)).\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-3886)\/960 - 1\/(-8 - 62\/(-8)) and -51\/8.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (-11 + 11 - -7)) + -120 + (-5 - 1)\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15215*d - 7615*d - 7604*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 7*t + 183. Suppose 4*b = -4*z + t - 5, z = b + 12. Let l = -13 + z. Solve 4*v = -l*v, 2*n - v = 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 84668?\nAnswer: 25400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*y - 2*b + 196, -3*y + 2*b + 136 = 0. Let i = y + -44. Suppose 3*z + 8 = 7*z. Calculate the remainder when i is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 7*y - 579. Suppose 5*b - y = 47. Suppose -2*k = -2*l + b, 4*k - 35 = -2*l + 7. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i - 19. Let v be d(-5). Let g(s) = -8*s - 14*s + 11*s + s**2 + v. Let l be g(10). Solve -7 - l = -4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44 + -42. Let n = -5 - -8. Let f = n - 1. Solve 3*s + 7 = x - 0*s, b*s = -f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*(4 + -1). Let c be 27\/6 + (-1)\/q. Suppose 4 = -c*k - 2*h + 14, -2*k - 10 = -2*h. Is k != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -865*d**4\/4 - 358*d**3\/3 + 7137*d**2. What is the first derivative of g(u) wrt u?\nAnswer: -5190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1906.5 - -1908. What is the second smallest value in -1\/7, k, -12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 4*r - 10*r - 76 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 53 + 13 - 21*a - 37 - 28 as q + s*a and give q.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g**2 - 80*g - 13508. Give f(82).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g + 601 = -92 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**34*f))*(f**(1\/60)\/f)\/f)\/(f**(-20))**19)**4 assuming f is positive.\nAnswer: f**(24781\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8103, 32291, 72597, 129021?\nAnswer: 201563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -477.6 to the nearest ten.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdm when three letters picked without replacement from {f: 2, x: 8, w: 2, d: 3, m: 4}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -56554 - 11*r + 56554. Let x(t) = 5*t. Determine x(l(a)).\nAnswer: -55*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1144 divided by -34\nAnswer: -572\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -475*b + 59995. What is g(129)?\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 218908458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) 0.5 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12456 - -6822. Let n = c + 11225. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 k, and 1 c when three letters picked without replacement from {k: 1, q: 3, h: 1, u: 3, j: 1, c: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/6, 3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51779797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddkd when four letters picked without replacement from {d: 9, c: 2, k: 7}.\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 2. Let a be 75\/(-45)*12\/(-1). Let b be h(a). Let r = -25 + b. Let g(f) = -f**2 - 5*f - 1. Give g(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 666478064.36?\nAnswer: 666478064.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*j + 27 + 181 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*l + 40*l**2 - 40*l**2 + 271*l**3 - 540*l.\nAnswer: 271*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**5 + 6192*m**4 + 2655740*m**3 + 195027920*m**2 - 2655744*m - 195034112 = 0.\nAnswer: -728, -92, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -18*h**5\/5 + 4902*h**4\/5 + 28176*h**3\/5 + 49968*h**2\/5 + 20064*h\/5 - 13344\/5 = 0.\nAnswer: -2, 1\/3, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324895 (base 11) to base 3.\nAnswer: 222100200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3205 = -5*c + i, -i + 24 = 3*c - 1907. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 7. Let t be y(0). Let o(m) = m - 10. Let i be o(8). Let c(d) = -10*d - 6. Let u(v) = -3*v - 2. Calculate i*c(w) + t*u(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 16. Let x(j) = j**3 + 2*j**2 - 5*j - 6. Calculate the remainder when x(4) is divided by c(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1150396481 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 43*u = -9. Suppose 2*x - 1 = -4*r + u, 3*r - 2 = -x. Suppose -n - 5*a + 13 + 4 = 0, -5*n - 2*a + 16 = 0. Solve r = n*z - 1 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 + 0*b - 1595*b**3 + 5\/4*b**5 - 1600*b**2 - 395*b**4 = 0?\nAnswer: -2, 0, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-3 + 2)) + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 9, -8*d + 9*d - 2*j = 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14573.89376 rounded to 0 dps?\nAnswer: -14574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43535 is divided by 430.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -793 divided by 3.\nAnswer: -793\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 140, -281, -3, 3 in decreasing order.\nAnswer: 140, 3, -3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f**3\/2 + 11850396*f**2 - 23405314226136*f = 0.\nAnswer: 0, 3950132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((-29)\/15 - -2). Let n be (6\/(-4))\/(q\/90). Calculate the greatest common factor of n and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2892 and -3.836.\nAnswer: -11093.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8452*j - 8456*j - 5*d - 2, 0 = -4*j - d - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -285, -561, -837, -1113?\n\"Answer: -276*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 9*q + 64*q**3 - 9*q**3 - 8.\nAnswer: 55*q**3 + 4*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 104.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*10\/(-35)*-14. Suppose 3*n = -5*m + 30, -3*m - 18 = -l*n - 7. Solve -4*b - 4*o = -15 - 13, 2*b - n = o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 4. Let f(p) = -p + 1. Let m(l) = 3*f(l) + z(l). Determine m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 129*h + 130*h - 3, -q - 5*h = -26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 878045597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 615186 and 132.\nAnswer: 1230372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50962 + 27?\nAnswer: -50939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 16 = 40. What is the highest common divisor of u and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.038\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(1 - 2 + 0)*(-2*o + o + 2*o) + (4*o - 6*o + 4*o)*(18 + 26 + 49).\nAnswer: 184*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 15, f: 5}?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a hour?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 7*a - 31902, -3*a + 8 = -10. Does 30 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymyymmyyyyyyyyy. Give prob of picking 3 y and 1 m.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*t**2 + 18*t**3 - 2*t**5 + 12*t**3 + 4*t**5 - 18*t**4 + 10*t**2.\nAnswer: 2*t**2*(t - 5)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -2*v + 2, -2*f + f - 5*v = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 = 82*j + 19 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 6*v + 8. Let q be g(-6). Let h = 9 - q. Let m(d) = 1 - 2*d - h - d. Let j(t) = -4*t**2. What is j(m(f))?\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1088) + (sqrt(1088) - (sqrt(1088)*-1 - sqrt(1088))) + 5 + sqrt(1088)*-1 + -4 + (1*sqrt(153) + -2)*6)**2.\nAnswer: -672*sqrt(17) + 30052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3) + -10 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 + 2072\/9. Let i be (16 + (-78)\/5)\/(49\/140). Sort -3, m, 1\/4, i in descending order.\nAnswer: i, 1\/4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15519 is divided by 5169.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 - 6 - -3). Factor x*u + 4\/7*u**3 + 2\/7*u**4 + 0 + 2\/7*u**2.\nAnswer: 2*u**2*(u + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5385 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 17*z. Let p be u(-17). Let a = 3 - p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - 7) + -6 + 3\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -9*u**2 - 1\/15*u**5 + 0*u**4 + 0*u**3 - 16\/105*u**7 - 1\/6*u**6 + 0*u - 1\/21*u**8 + 0. Suppose o(d) = 0. What is d?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -463 at most 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 83707 (b) 1\/7 (c) -0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 8) to base 14\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000465 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -552 divided by 24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -244 + 244 + 34*m + (3*m - 2*m + m)*(107 - 56 - 94) as q*m + y and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 9*z + 38. Let u be l(-14). Let w = u - -33. Let v = -0.6 - -0.4. What is the closest to -2\/3 in v, w, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 190280185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -635 + 680. Suppose y*g + 3005 = 33380. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16188 and 12426.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**3\/3 - 32. Let f(b) = -355*b. What is f(c(i))?\nAnswer: 355*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:31 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -60. Let l = -10 - f. Suppose -4*j + 1 = 3*c - 0*c, -j + l = 2*c. Solve -m = -2, h + 4 = -2*m + c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.146145 (b) -0.22 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*(c**(2\/13)*c)\/c)**(8\/7)*((c\/(c\/c**4))\/(c\/c**(2\/9)))**(-12\/7) assuming c is positive.\nAnswer: c**(-27116\/5187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 60646 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 16*x**5\/3 + 213092*x**4\/3 + 159800*x**3 + 319588*x**2\/3 + 53264*x\/3 = 0.\nAnswer: -13316, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/55, 21, -5, 3\/4, -0.05, 2\/9 in descending order.\nAnswer: 21, 3\/4, 2\/9, -0.05, -3\/55, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of a**5\/120 + 4*a**3\/3 + 7. Let h(i) be the third derivative of q(i). Let x(y) = -19 + 65 - 11*y - 22 - 22. What is x(h(u))?\nAnswer: -11*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12256\/35 - 1753\/5. Which is the nearest to 2\/7? (a) 9 (b) t (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d**3 + 35*d**2 + 69*d + 32. Let z(j) = -j**3 - 17*j**2 - 35*j - 16. Let t(o) = 3*v(o) + 5*z(o). Factor t(w).\nAnswer: 4*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.74403ml in litres?\nAnswer: 0.01274403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.2. Let m = -3.95 + 3.95. Which is the third biggest value? (a) m (b) -1 (c) j (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f. Let z be h(1). Let l be 33*(-57)\/(-54) + 2\/12. Suppose -2*r + z*r - l = 0. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -h - 152 - 191, 0 = 4*n + 3*h + 689. Let k = n - -267. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.200511us to nanoseconds.\nAnswer: 3200.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + v - 1)*(2 - 2 + 3*v) - v**2 + 5*v**2 + 0*v**2)*(v - 7*v + 3*v - 1).\nAnswer: -21*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 1783*r - 1776*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 6383.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-798)\/(-1862)*(-21)\/(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*k + 6 + 5, -q - 5*k = -21. Let c be ((-8)\/(-12))\/(q\/66). Suppose j = -f + 38, -f + 5*f = -j + c. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - -1)*1\/2. Let k = -2416 - -2421. Which is smaller: q or k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 29. Calculate the remainder when z is divided by -2 + 5 - (1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 + 1896*v + 361. Give z(211).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3 + (-35 - -14 - -7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 87*f + 104 = -611 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*j - 9*j = 1953, -j = -4. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 468 (b) 4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + -3 - 0) + 0. Put c, -1, 1, 4 in increasing order.\nAnswer: c, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 9*v + 7. Calculate o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1094397 times -5\nAnswer: 5471985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-60) + (-12)\/10 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 40*n + 162. Let x be b(-4). Let f(z) = -231*z**2 - 224*z**x + 447*z**2. Let a(v) = 3 - 3 - 7*v. Give a(f(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4650 and 2048730?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 2*l**3 - l**3 + (0 - 3 + 0)*(0 + l - 4 + 5)*(120682*l - 120682*l + 1132*l**2) to the form x*l + n + v*l**3 + f*l**2 and give f.\nAnswer: -3396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17529, 35048, 52567, 70086, 87605?\n\"Answer: 17519*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3310 and -0.1.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2526*j**2 + 8988*j - 8988*j - 558*j**2 to the form l*j**2 + d + n*j and give l.\nAnswer: -3084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*v + 198 - 63 = 0. Let a(q) = 0*q + q + 6 + 0*q. Let c(u) = -2*u - 7. Determine v*c(b) - 4*a(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222 - 19 + 95 - 333)*(-2*z + 4*z - z).\nAnswer: -479*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7)\/b**(-6))**(-48)*b**(2\/15)\/b**2*b**(-3\/4)*b*b**(-4) assuming b is positive.\nAnswer: b**(-111799\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 2, n: 2, s: 1, h: 6}. What is prob of picking 1 v and 2 h?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4 + 1848*t**3 + 5564*t**2 - 1848*t - 5562 = 0 for t.\nAnswer: -3, -1, 1, 927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172149 is divided by 172144?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 404, 405, 406, 407, 408, 409?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3430*h**3 + 204*h*j + 320385*j wrt h.\nAnswer: -10290*h**2 + 204*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -7775285?\nAnswer: -7775286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -44*g**2 + 30 - 7*g**3 + 9*g**3 + 30*g**2 - g**3 - 2*g. Determine r(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329 + 654 = -183*w - 49 - 2005 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/42)\/(5\/(-665)). What is h rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -59*c**2 + 5*c + 5. Let g be f(-2). Let d = g + 259. Which is smaller: 58\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 30*l**2 + 7*l + 123. Let m(u) = 52*u**2 + 13*u + 247. Give 7*h(f) - 4*m(f).\nAnswer: 2*f**2 - 3*f - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -808, -800, -788, -772, -752, -728?\n\"Answer: 2*o**2 + 2*o - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 + 69 - 197*n**2.\nAnswer: -197*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17953*q**2 - 3*q + 17942*q**2 + 3*q.\nAnswer: -11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.226, -3.\nAnswer: -3, 0.226, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u + 8. Let q be a(-2). Factor 24*p**3 + q*p**5 - 12*p**2 + 3*p**5 + 13*p**4 - 28*p**4.\nAnswer: 3*p**2*(p - 2)**2*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -252206*v**4 + 8610*v**2 - 20?\nAnswer: -6052944*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -3.04. Let u = -0.44 + f. What is the third smallest value in u, -5\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, -5, -66722 in descending order.\nAnswer: 1, 0, -4, -5, -66722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:40 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 20*p + 4 + 3 - 26. What is the remainder when 159 is divided by c(17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 + 2*z + 1. Let b be y(-1). Suppose -3*a + 63 = 3*v, 2*a - b*v = 3*a - 26. Calculate the remainder when 31 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 13 = y. What is the smallest common multiple of 14 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78851.843 to the nearest 1000.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 35 = 29. Suppose 170 = 8*a - o*a. Suppose -29*r = -a*r + 1265. List the prime factors of r.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 53137744 = 3*q, m + 88562898 = 5*q + 5*m. Let o be (5\/(40\/308))\/((-3)\/(-1502916)). Suppose o = 5*f - q. What is f rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -77*x + 40. Let a(n) = -32*n**2. Calculate z(a(c)).\nAnswer: 2464*c**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 e, and 1 f when four letters picked without replacement from fzqeewzezeeze.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.5946*67.\nAnswer: -173.8382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (100\/(-25))\/(-3 + (-21)\/(-9))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(2\/4 + -1). Let g(z) be the first derivative of -2*z**2 - 34*z + 6. Let q be g(-9). Solve -q*a = -n - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-17))\/q**(-3)*(q**(1\/7))**(-11\/4) assuming q is positive.\nAnswer: q**(-375\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 526761.9km?\nAnswer: 526761900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 336851 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 + -281. Factor -z*p**2 + 8*p**4 - 6*p**4 + 12*p - 8*p**3 + 16*p - 6 - 10.\nAnswer: 2*(p - 4)*(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(12)*2 + sqrt(12))*-3*-2)\/(5*1*(sqrt(384) - sqrt(384)*1 - sqrt(384))).\nAnswer: 2 + 9*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 8. Let o be g(6). Suppose o*l = 15 + 49. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 104. Let i be ((-1 + 2)*2)\/1. Suppose 59 = 5*t + 4*z - x, 5*t - 90 = -i*z. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(88\/2576)*(2 - 1). What is m rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/351*((0 - 0) + 1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*j - i, 6 + 0 = -j - 3*i. Calculate the least common multiple of 4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f + 3*f + 4198*f**4 - 4195*f**4 - 16*f**3 - f**3 - 2*f**2 to the form i + z*f**4 + g*f + k*f**2 + v*f**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yycc when four letters picked without replacement from cccccycyycyccyycccy?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -86 + 129. Calculate the remainder when (-17)\/(-408)*1986 + (-1)\/(-4) is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*0*6\/((-126)\/(-21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - 1. Let d = i + 5. Let j = 5 - d. Solve 2 = -5*k - v - v, -j = 5*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123450 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqq when three letters picked without replacement from vvqgqqxqtdtdgq?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/(1\/(-3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162759, -162773, -162787, -162801?\nAnswer: -162815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-342)\/(-12))\/((-15)\/(-6) + -2). Let m = -53 + r. Calculate the highest common factor of 52 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 135 in -4, 19, -4\/3, 1.31?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -14. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 5*x - 15 = 0, 75*x = -2*k + 70*x + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:41 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 24*w**2 - 6*w - 3. Let k(p) = 7*p**2 - p - 1. Let v(m) = -3*k(m) + q(m). Calculate v(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 + 42520?\nAnswer: 42581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.083, -3, -30 in descending order.\nAnswer: -0.083, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, 6\/419, 528\/13, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 570 and 304912?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**6\/180 + n**3\/2 + 4*n. Let q(w) be the second derivative of o(w). Let z(c) = -c. Calculate q(z(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 373*n*t**2 - 13609*n - t**2 - 132*t - 2305 wrt n.\nAnswer: 373*t**2 - 13609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + ((-9 - -5) + 2 - 2) + 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325150 and 1400.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50434 (base 14) in base 4?\nAnswer: -233012032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4*(-1)\/6)\/((-4)\/(-30)). Let o(y) be the first derivative of -1\/2*y**4 - 1\/3*y**3 + y**2 + 3\/10*y**n - 3 - 1\/2*y. Find k, given that o(k) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -2.53648?\nAnswer: 0.760944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1 - 4 - q + 1. Let r be c(-1). Let a be 2\/(1 + 1\/(-2)). Sort r, a, 5.\nAnswer: r, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 4*k - 7. Let g(d) = d**2 + 7*d + 13. Let w(z) = 4*g(z) + 7*y(z). Find j, given that w(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + 6*v**5 - 3*v**5 + (-v**3 + 4*v**3 - 2*v**3)*(-3*v**2 + 4*v**2 + 3*v**2).\nAnswer: 7*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(3\/10)*p**(-21)\/p assuming p is positive.\nAnswer: p**(-217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**2 - 154*u + 1348. Calculate a(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and -0.18?\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f. Let c(w) = -323*w**2 - 1. Determine c(m(s)).\nAnswer: -290700*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158678 by 4667.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355130 + 710259 - 355129 - 7*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 419879 is divided by 37464.\nAnswer: 7775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4396 is divided by 4392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 100\/30*(-9)\/(-15). Let v(x) = l*x - 73 + 73 - 4*x. Let f(r) = 16*r**2. What is f(v(w))?\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6714340?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 - 6*i**2 - 23*i - 2. Let u(o) = -6*o**3 - 7*o**2 - 24*o - 2. Determine 6*u(z) - 7*w(z).\nAnswer: -z**3 + 17*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-832))\/((-1)\/4).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - q**3 - 2*q**3)*(5*q + q**2 - 5*q) + ((-3*q - 2*q + 6*q)*(0*q + q + q) + 24 - 24 - 6*q**2)*(-18*q**2 + 18*q**2 + 6*q**3).\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) 1\/6 (c) -30.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1784 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000074103304 to six decimal places.\nAnswer: 0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrxrxxrlrxrrrxllx. What is prob of picking 1 r and 1 l?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 262835881?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**2. Suppose j - 11 = -3*k, -3*k + 3*j = -j + 14. Let y(n) = -k*n + 9 - 9. Calculate a(y(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4\/3 + 29*u**3\/3 + 34*u**2 - 184*u\/3 - 256\/3 = 0. Calculate u.\nAnswer: -4, -1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*r - 6 = 0, 3*r - 5 = -5*w - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.053 and 738.\nAnswer: 738.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/k**(-30)*k**(-29) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -916 = -34*j - 610 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5 + 2 - 8 + 6*m + 8*m + 1. Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 - 49545*u + 9819854 = 0.\nAnswer: 199, 49346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -9*z**5 - 2577*z**4 + 39206*z**3 - 158018*z**2 + 92659*z - 14749 = 0.\nAnswer: -301, 1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -4, -36, -0.5, -5, -3, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.026881 tonnes?\nAnswer: 5026881000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - t - 2. Suppose 0*d + 2*d - 12 = 0. Let o(v) = -v**3 + 5*v**2 + 6*v. Let c be o(6). Suppose c = -f + d*f. Determine x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6571?\nAnswer: 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(250)\/sqrt(5).\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/10 - -1\/30. Let i = -46\/105 - f. Let y = 0 + -1. Which is the second smallest value? (a) 3\/4 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -131. Let u be -5*((-20)\/s + (-4)\/14). Suppose -4*p + 6307 = -p + u*d, -4*d = p - 2107. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 22. Differentiate 121*p**2 + 11*p**3 - d - 4*p**3 - 121*p**2 with respect to p.\nAnswer: 21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 230 divided by -5.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 3*y**3 + 3*y**3)*(69*y**2 + 74*y**2 + 719*y - 142*y**2).\nAnswer: y**5 + 719*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*j + 5 = 0, 0*u + u = 2*j + 8. Suppose -t = -4*p + t - 2920, -t = u*p + 1460. Round p to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**4)\/j**(-3))**(-15\/4)*(j*j\/j**5*j\/(((j\/j**(4\/9)*j)\/j*j)\/j*j))**(-19) assuming j is positive.\nAnswer: j**(608\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 + -1.5. Let r = a + 0.5. Let i = 31 + -33. What is the nearest to 0.1 in 4, r, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1111172.\nAnswer: 2, 277793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 29 = 13. Solve 4*t + 3*l + 4 + 1 = 0, 4*t + 2*l + o = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-12)\/(-8) + -4). Suppose r*q - 4*s = -2*s + 38, 5*s - 66 = -2*q. What is the highest common factor of 23 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 4. Let l(d) = 2*d + 11. Let f(r) = 2*r**2 - 21*r - 18. Let h be f(11). Let b be l(h). Determine g(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31033231 - -2?\nAnswer: -31033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 830 = 5*l, l + l - 332 = 2*j. Let p be 1\/(4 - j\/(-42)). Solve 4*a - w = -p, -a = -0*a + 3*w - 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 3. Suppose 237 = 5*w - 3*j, -2*w = f*j + 2*j - 74. Calculate the greatest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142202807.\nAnswer: 17, 8364871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 2*j - 3*c + 20, 0 = -3*j + 4*c - 10. Solve -j = 2*u - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 253717858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 408 and 20264.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*a**4 + 45100*a**3 + a**2 - 8670872*a wrt a.\nAnswer: -156*a**2 + 270600*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 88\/16 - (33\/(-6))\/(-11). Solve -10 = 3*h + q + n, -2*h = -5*q - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = 3. Suppose -w + 4*n + 4 = -7, -s = -4*w - 2*n. Suppose -w*d + 2*c + 93 = -c, 5*c = 4*d - 126. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2285164 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16383.011 + 16383. Which is the nearest to -0.2? (a) -5 (b) -4 (c) 0.4 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:33 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/168169594?\nAnswer: 11\/168169594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29648 and 40021094.\nAnswer: 3706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 46872.653453.\nAnswer: 46881.653453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75413, 75806, 76199, 76592, 76985, 77378?\nAnswer: 77771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 3:40 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 + 506420*d**3 + 439199*d.\nAnswer: -20*d**3 + 3038520*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 4 - (4 - -2)) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 27*n**2 - 35*n**2.\nAnswer: -70*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -23 - -237?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 - -68. Let d = -10 - r. Suppose -19*h + d*h + 14 = 0. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*p - 39*p - 4*p)*((-p**4 + 2*p**4 + 0*p**4)*(2 - 2 + 2) - 1 + 1 + 2*p**4 + 4*p**4 - 5*p**4 + 3*p**4).\nAnswer: -432*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ahz when three letters picked without replacement from {a: 3, h: 3, z: 3, c: 10}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 9901 + 501. What is x rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 4*h + 4*h + (215 - 215 - 16*h)*(-1 - 1 + 0).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 9964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (34\/6)\/((-16)\/(-432))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -29*f - 170. Determine c(-21).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*z = -14, 5*p + 0 + 2 = 3*z. Suppose 10 - 2 = p*r. List the prime factors of r*(3 - (-44)\/16).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478470097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/9 (b) -2\/7 (c) 0.3 (d) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*j + 2*j. Let d(x) = -x**2 - 5465*x - 21838. Let c be d(-4). Solve -c = 4*m - o, 2*m + 3*o = 7*o - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aeak when four letters picked without replacement from {a: 2, k: 7, e: 2}.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196853, -196202, -195537, -194852, -194141, -193398?\nAnswer: -192617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2. Let k(h) be the third derivative of h**6\/72 - 20*h**3\/3 - 14*h**2. Let c(t) be the first derivative of k(t). Calculate s(c(o)).\nAnswer: -100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17000300 rounded to the nearest ten thousand?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.1 - 31. Which is the nearest to s? (a) 3 (b) -1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*u + 5*i + 65 = -57*u, -5*u + 7*i + 71 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**5 + 18*j**4 + 18*j**3 - 50*j**2 - 96*j - 40. Let g(l) = -l**5 - l**4 + l**2 - l - 2. Let n(h) = 4*g(h) + o(h). Let n(y) = 0. Calculate y.\nAnswer: -4, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/2906 and -52\/5.\nAnswer: 14530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6950975 is divided by 1390180.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 take away -0.8?\nAnswer: -251.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/30 - 1\/5*-1) + (-1235)\/2166?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1536*p + 2016 + 3\/7*p**4 + 153\/7*p**3 + 1530\/7*p**2 = 0. Calculate p.\nAnswer: -28, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1389110 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 51425.\nAnswer: -2\/51425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*c**2*j**3 + 2*c**2*j**2*z - 22*c**2*j**2 - 24*c**2*j*z - c*j**3*z + 3*c*z - 2*j**4 + 2*j**2*z wrt j?\nAnswer: 768*c**2 - 6*c*z - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221002 (base 3) to base 4.\nAnswer: -22211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*g + 4905 = 4851, 4*t + 5*g = 98 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/13 + 4724*t**2\/13 + 745800*t\/13 - 5107410000\/13.\nAnswer: -2*(t - 1650)**2*(t + 938)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (-4 + 5)) + 1*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -13333312311132?\nAnswer: -13333312311203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38649 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2777985294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -43, 23, 207, 551, 1097?\nAnswer: 1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 3. Give r(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**(-3)\/t*t**(-1\/7)*(t**(2\/7))**(-20) assuming t is positive.\nAnswer: t**(-55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139.01 + -141. Let n = -2 - g. Let f = -0.11 - n. Which is smaller: f or 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-6 - (6 + -12 - 2)). Suppose -10 = -5*h - 3*z, h + z + y - 3 = 0. Solve h*d = 4*p + 6, 3*p = d - 2*p - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 30\/7, -10\/267, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21176633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-309 - 24 - 174)*(-2*h**2 + h - h)*(-2*h**2 - h**2 + 4*h**2) to the form b*h**3 + f*h**4 + d*h**2 + m*h + g and give f.\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 2, -3, -118 in decreasing order.\nAnswer: 2, -3, -4, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l*l*(l\/((l**(2\/3)\/l)\/l))\/l)**(-1\/2)\/((l**(-2\/5))**17*(l*l**7)\/((l\/l**(2\/9))\/l)) assuming l is positive.\nAnswer: l**(-503\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -1\/24*b**3 + 0 - 1\/240*b**5 - 1\/48*b**4 + 2*b**2 + 0*b. Factor s(y).\nAnswer: -(y + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13242*-1.1.\nAnswer: -14566.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 158.3054l?\nAnswer: 158305.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3674.984 millilitres to litres.\nAnswer: 3.674984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1 + 3 + 6*i**2 - 1. Let w be (-11)\/5*(35\/5 - 2). Let n(h) = -17*h**2 - 8. Give w*q(l) - 4*n(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*u = 249 - 274, -5*l + 4*u - 45 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 41. Suppose -q*p + 126 = 26. Solve -3*g + 7*g + 2*b - p = 0, -24 = -4*g - 4*b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 345573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 7*q + 850 = 0. Suppose -q = 5*p - 3*w, -5*w + 34 = -p - w. Let g = p + 30. Which is the nearest to -1? (a) -3\/8 (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 + -361. Let g be 3\/o*24\/(-13734)*-7. Suppose -2*m - 3*m = 0. Is m greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1493ab6 (base 12) in base 7?\nAnswer: -50325063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s - 27. Let q be ((-3)\/(-3 - -2) - 2) + -12. Calculate the lowest common multiple of 5 and u(q).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 632293, 1264577, 1896861, 2529145, 3161429, 3793713?\n\"Answer: 632284*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 9.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 67*y**2 + 225*y + 16. Let b(r) = -r**3 - 22*r**2 + 75*r + 6. Let p(k) = 8*b(k) - 3*x(k). What is the second derivative of p(w) wrt w?\nAnswer: -12*w + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2\/7 - 816*i + 291312 = 0. What is i?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566*c + 29*f + 29 + 27 = -571*c, -4*f - 16 = 0 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/3 (b) 9 (c) -0.7 (d) 56 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 197*w**3*y**3 - 20*w**3*y**2 - 20*w**2*y**3 + 2*w**2*y**2 - 3*w**2*y - 4*w*y**2 wrt w.\nAnswer: 1182*y**3 - 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 21\/4, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 9, k: 3}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1491 is divided by 206?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f - 56, 30*t + 32*t = 66*t - 4*f - 28 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 17\/10, -3 in decreasing order.\nAnswer: 33, 17\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 22 - 58. What is the least common multiple of 15 - (2 - 1 - (1 - 3)) and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 - 38*n**2 - 1121*n\/4 + 318.\nAnswer: (n - 159)*(n - 1)*(n + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -957910 divided by -10.\nAnswer: 95791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 16 - 3*r - r)*(-1 + 2*r + 3*r - 4*r).\nAnswer: r**2 + 15*r - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -120.1 - -120. Which is the closest to 2\/3? (a) -4 (b) -17 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 196961 and 0.4.\nAnswer: 78784.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**8\/56 + 11*x**5\/60 + 47*x**4\/24 + x**3\/3 + x**2 + 7. What is the second derivative of m(f) wrt f?\nAnswer: 120*f**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -525, -1218, -2075, -3096, -4281, -5630?\n\"Answer: -82*y**2 - 447*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 924*u - 101. Let j be y(9). Let v = j + -12595. What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 2\/17 (b) 3\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11129449 minus 381.34?\nAnswer: 11129067.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -896 + 896.5. Let r(a) = -a**3 - 2*a - 1. Let x be r(-2). Let t = -7 + x. Sort t, c, -3 in increasing order.\nAnswer: -3, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 264.941 to the nearest 10.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 4 - 5)*(0*p**2 - 12*p**2 - 25*p**2) in the form z + w*p + m*p**2 and give m.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -30845 (base 12) in base 11?\nAnswer: -43709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -11*w + 6. Find z such that 0*z + 2\/7*z**w + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1431950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-6)*258\/3 and -67\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -991142.98 to the nearest ten thousand.\nAnswer: -990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13850\/420 + (-193)\/(-8106)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12981387 to the power of 1\/2, to the nearest integer?\nAnswer: 3603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 2. Let f be z(3). Let i = -18 + 21. Suppose 5*v - f = -i*h, 4*v + 90 = 5*h + v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 - 7*l**2 + 4. Let r be b(-7). Let x = 5 + r. Suppose -4*f = -15 - x. What is the highest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 - 0.5. Suppose -4*d - d = 4*z + 130, -3*d - 56 = -2*z. Let n be -4 - (4 - d\/(-3)). What is the nearest to b in 2, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1845*a*g**2 + 177*a*g - 141*a + 315027111*g**2 wrt a.\nAnswer: 1845*g**2 + 177*g - 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**3 + 2*p**2 - 3*p + 3. Let d(y) = -13*y**3 + 4*y**2 - 6*y + 7. Let i(x) = -x**3 + 5*x**2 - 7*x - 10. Let q be i(-1). Calculate q*d(c) - 7*r(c).\nAnswer: 3*c**3 - 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:21 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t + 10. Solve 5*a - 4 = t*q, -5*q - 3*a - 15 + 36 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*x**4 + 50*x**4 + 218*x**2 + 5*x + 112*x**2 + 21*x**4 - 124*x**4 - x**3 to o*x**2 + v*x**3 + u + k*x**4 + n*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -26, -167 in increasing order.\nAnswer: -167, -26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192.941ng in milligrams?\nAnswer: 0.000192941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 15*t**3 - 12*t**2 + 29*t + 142. Let f(r) = 4*r**3 + r**2 + r + 1. Let k(b) = -d(b) + 4*f(b). Determine k(-17).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 28 = 4*y, v - 18 = -5*y + 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and 9.\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.73 and 0.06?\nAnswer: 0.0438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 6 (b) 3\/2 (c) 5\/7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3523*k*x**3 - 4*k*x + k + 25*x**2 - 3*x wrt x.\nAnswer: 21138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 9*q + 19 = 6*q - 0*q, -78 = 2*u + 14*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2613)\/(-402))\/(91\/(-770))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a0 + 29887?\nAnswer: 292a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 13\/4, 2\/153, -0.05 in decreasing order.\nAnswer: 13\/4, 2\/153, -0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/36 and 151\/164268.\nAnswer: 164268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 89859 = 4*s - 14*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-18))\/(14\/63)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -6)\/((-15)\/(-6))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/14*(-196)\/(-672)*3.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*m + 25250 + 11754 = 0. What is the highest common divisor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.11 - -0.166. Let o = 0.0494 - k. What is o rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 377*r + 2*r**2 - 623*r - 110 + 180*r as y*r + p + l*r**2 and give y.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 3}. What is prob of sequence rr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 30*u**2 + 187*u - 16. Let f be k(-9). Let d(n) be the first derivative of 0*n**4 + 7 - 1\/7*n**3 + 1\/7*n**f + 0*n + 1\/35*n**5. Factor d(g).\nAnswer: g*(g - 1)**2*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5172 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18672 = 4*n - 4*s, 3*n = -14*s + 12*s + 14024. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 6. Let w be v(4). Let l(n) = 13*n**2 - 2*n. Does 20 divide l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-584)\/(-219))\/(376\/(-705)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 - v**2\/2 + 28*v. Let c be r(1). Solve -4 = -b - c*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240 + -2451455?\nAnswer: -2452135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 339, 486, 617, 732, 831?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404 >= 3404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2722410 by -15.\nAnswer: -181494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**2 - l - 2\/3*l**3 - 1\/2*l**4 + 2. Let v = -11 + 9. What is k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 6*s + 1. Let f be g(-6). Let v be 1*1*(-3 + f). Let q(r) = -8*r - 1. What is q(v)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 179, -28 in increasing order.\nAnswer: -28, 11, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (-11 + -110)) + -220.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -263, -683, -1103?\n\"Answer: -420*q + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2734?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1637502?\nAnswer: 1637476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -21 times -19.5\nAnswer: 409.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = v - 30. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + 2.5. Let b = 54 - n. Let q = 21 - b. What is the second biggest value in 0.1, 0.5, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 969035*g - 32. Calculate x(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/(-153))\/(4\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + s = -51, -s - 2 = 2*i - 119. Calculate the highest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2079*g + 451312. Give j(-217).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeooeoeeeoo. Give prob of sequence oeo.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 8 - 1315. Let f be x\/(-14)*4\/3. Suppose 5*m = -2*u + 63 + f, 0 = 5*m + 3*u - 84. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 7*x. Let q(j) = 7*j**2 + 3*j. List the prime factors of q(x).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45 + 45. What is the smallest value in x, 1.2, -0.3, 1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of -y**3\/3 + 5*y**2 + y. Let r be j(5). Solve r = 3*d - 5 - 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r - 13 + 13 + (1 + 4 - 1)*(-2 - r + 2))*(-r**3 - 3*r**3 + 3*r**3).\nAnswer: 20*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 - 1422.4884?\nAnswer: -1579.4884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2051 - -116?\nAnswer: -1d39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 264 = 4*j, 4*x + 5*j - 97 = 165. Let a = -36 - -2. Let t = x + a. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319247 is divided by 79809?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00062008708 rounded to 5 decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69.58986568 - -12.58986958. Let j = s - -57. What is j rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 2.3498?\nAnswer: 3.3498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1 = 163*i - 0. Solve 2*s - 5 = -4*y - 1, -5*s = i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -4*n - 2. Let g(f) = -2 - 2*f - 3 - 4*f - 3*f. Let l(w) = 5*a(w) - 2*g(w). Calculate l(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngnggttntntrgr. Give prob of sequence tr.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**3 - 2*u**2 - 7*u - 1. What is the remainder when 27 is divided by b(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Suppose 3*v - 24 = -j*r, -v + 29 = 4*r - 0*v. Suppose x - 17 = -r. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4631, 4653, 4679, 4709?\n\"Answer: 2*d**2 + 16*d + 4613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -686*d**3*j**2 - 86*d**2*j - 2*d*j**2 wrt d.\nAnswer: -4116*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44785505?\nAnswer: 5, 449, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**5 - 218*b**4 - 17230*b**3 - 583568*b**2 - 7671433*b - 33676478 = 0.\nAnswer: -67, -62, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*p - 2*b - 8 = 0, -4*p + 5*b + 8 = 0. Let a be 4 - p\/(-2) - 4. Is (-1)\/(-2)*a*74 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3320190*l**2 + 5462745.\nAnswer: -6640380*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 - 3 + (0 + 1 - 2)*(3 - 3 - 3))*(6*f - 12*f - 3*f) to the form k + u*f and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59391 - -19388. What are the prime factors of l?\nAnswer: 78779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 q, and 1 c when four letters picked without replacement from {w: 4, a: 1, b: 1, c: 3, q: 4, j: 4}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 + d**2 + 2*d**4 + 255*d - 254*d - 4*d**3 as t*d**3 + f*d + v + o*d**4 + w*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332 by 4.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 13*l**6\/60 - l**4\/6 - 2*l**2. What is the second derivative of j(z) wrt z?\nAnswer: 156*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3275.902cm?\nAnswer: 32759020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292 - 288. What is the second biggest value in o, -0.3, 1\/4, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 44408 = -2*h - 335586, 4*s + 3*h - 760009 = 0. What is s rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -356415 divided by 71283\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 21100 (c) 2\/3 (d) 0.189 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*w**4 + 100*w + 40 - 30*w**2 + 100*w**2 + 3133*w**5 - 5*w**3 - 3138*w**5 = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322040 (base 6) to base 13.\nAnswer: -c00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 86, 268, 628, 1226, 2122?\nAnswer: 3376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005967066 rounded to 5 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 238, 5, -6, -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f. Suppose -4*g - 16 = -3*x, f*g - 4*g = 5*x + 16. Suppose 2*v = 5*v - 24. Solve 5*y + 7 + v = x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*m - 3*m + 3*m)*(13 + 14 - 12)*(1 + 2 - 1)*(2*m + m - m - m + 0*m + 0*m + (-2 - 1 + 4)*(-2*m - 3 + 3)) to the form l + k*m + g*m**2 and give g.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:58 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -2*i**3\/3 + 3*i - 2. Differentiate w(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/2*(8904\/(-40) - 9). Let m = -575 + s. Solve -11 = -m*v - 11 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6*j = -5*j + 6, 2*d - 5*j + 14 = 0. Let m be -2*(3 + -2 + d). Suppose -4 = r, m*h - 158 = -3*r - 48. List the prime factors of h.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 32*d - 265 = -16*d, 3*q - 73 = 4*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from vgkkihe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w**2 + 2*w - 8*w**3 + 7*w**3 - 221 + 2*w**4 - 323 - 3*w**2 + 6*w**2 to s*w**4 + u + t*w**2 + b*w**3 + c*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4458 - -31208\/7. Which is the third biggest value? (a) 1\/20 (b) 5 (c) -3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61805.017 rounded to the nearest one hundred?\nAnswer: 61800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*3*(-3)\/(-81). Let j = 0.98 - -0.02. Put s, j, 2, 3 in descending order.\nAnswer: 3, 2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 2*p**4 + p**4)*(-2*p + 0*p + 0*p).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t. Suppose -5*b - 1 = -11. Suppose -b*q + 58 = 24. Suppose -7 + q = -5*v. What is u(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*b = -605*b - 192 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -26*o - 1755. Determine i(-66).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -672*t - 27318. Determine b(-40).\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 0 - 4 - 6)*(-2 + 3 + 3) to a + m*d and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h**2 + 597*h + 9214. Calculate r(-13).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -169 - -183. Calculate the remainder when (4\/f)\/(8\/728) is divided by (12\/10)\/(1\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102000100 (base 3) to base 14\nAnswer: a155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*l - 14, 0 = 5*s - 4*l - 2 - 4. What is the first derivative of -6 + s*u**4 - u**4 - 3 wrt u?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 2*g - 8*p, -3*g - 2*g - 113 - 3 = 5*p + 44 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*r - 5 = 0, -5*m = -4*r - r - 15. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8748462 divided by -1.\nAnswer: 8748462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5394851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*2*(0 + -3 + -1 + sqrt(605) - (-6*sqrt(605)*-1 + sqrt(605) + 0 + sqrt(605) + 2)))**2.\nAnswer: 61600*sqrt(5) + 1899780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7713?\nAnswer: 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*y - 3, 65*y + 3 = 64*y for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxq when three letters picked without replacement from {x: 1, h: 1, n: 3, q: 4, i: 6}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b + 30*b - 3744. Suppose -b + 104 = 7*c. Which is smaller: -322 or c?\nAnswer: -322","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25041500 (base 6) to base 3.\nAnswer: -1111120122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*u - 4216, -4*u + 1242 + 7138 = 5*v. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, d: 1, g: 1, w: 1, s: 1, q: 1}. Give prob of sequence dgw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -9 + (-54)\/21?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Let j(q) = -2*q + 0*q + n*q. Let s(x) = 5*x. Let b(y) = 4*y + 26. Let k be b(-12). Determine k*j(g) + 4*s(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -13\/8?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -41 - (-18 + -17).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - r = 6, 3*f - 3*r - 5 - 1 = 0. Let m(x) = x**2 - 29*x - 51. Let d(h) = -6*h - 10. Let t(y) = f*m(y) - 11*d(y). Find p such that t(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(90\/120). Let i be -2 - (3 - q)*-6. Solve i*a + 10 = -6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(-14)\/(-7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 49, 0.2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x + 127. Let t(o) = -o - 5. Let w be t(-5). Is d(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686264 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 413, 1454, 3503, 6896, 11969, 19058?\nAnswer: 28499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13428)\/746 + 112\/6. Determine y, given that v*y**3 - 8\/3 - 8\/3*y + 2\/3*y**2 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3 + 27*l**2 + 244*l - 4620 = 0.\nAnswer: -14, 11, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**2 + 0*w + 0*w)*(4*w - 5*w - 2*w) + w - 2*w**3 + 7*w**3 - 2*w - 3*w**3 - 3*w**3 + 2*w**3 in the form l*w**2 + a*w + m + d*w**3 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196 + 198. Solve -6*n = -k*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140 by 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194245080?\nAnswer: 2, 3, 5, 379, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-45)\/6)*(-6)\/1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267710898.\nAnswer: 2, 3, 7, 13, 490313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 53. Let d be (-1)\/((2 - 0) + 2). Which is the third biggest value? (a) d (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 3.3, 1\/6 in descending order.\nAnswer: 5, 3.3, 1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -131*s + 122*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1862 by 4.\nAnswer: -931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -5.4, -0.1, -2\/73, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -299, 5, 2, -5 in descending order.\nAnswer: 5, 2, -5, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 4*x, o - 3*x - 8 = -3*o. Solve 4*w - o*c = 10, -2*w - 3*c + 26 = 1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.228 plus -8915?\nAnswer: -8915.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1818 divide 505932843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/4)\/((-11)\/(-132))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/(-14) + (-6)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-23 - (-13 + -5))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**3 + 2*g**2 - 5*g + 6. Suppose -4*u + 22 = -2*v, -12 = -0*u + u + 3*v. What is the hundreds digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236422426?\nAnswer: 2, 419, 282127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**5 - 5*a**3 - 13*a - 5 wrt a.\nAnswer: 20*a**3 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(567)*2)**2 - sqrt(56)\/((sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3)))*-2 - sqrt(8) - sqrt(8))) + -1)*4.\nAnswer: sqrt(7) + 9068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 155 - 9863?\nAnswer: -970b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*r**2 - 23*r**2 - 33*r**2 - 11*r**3 wrt r.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/8*(-60)\/(-45)*(-4)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876 = -3*p - 117. Let w be (2\/18)\/(p\/(-66)). Let q = -40 - -39. Is w at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -823831 * -12\nAnswer: 9885972","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 376 = k + 392, -5*k - 58 = -4*w. What is the remainder when 2479 is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10410 (base 7) in base 16?\nAnswer: -a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - 2*j**4 + 3*j**3 + (0 - j**3 + 0)*(j + 1 - 1))*(2*j + 7*j - 3*j)*(-1 - 2 + 4).\nAnswer: -18*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225276 is divided by 4083?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -713 = -46*v - 575. What is the fourth smallest value in -0.1, 0.068, -1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 1. Let k(z) = z - 71. Determine -k(d) + 3*x(d).\nAnswer: 2*d + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00230186451 to 7 dps.\nAnswer: -0.0023019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4006362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10191?\nAnswer: 3, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/2 (b) -0.1 (c) -157 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3612 to 2 decimal places.\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -26*i**2 + 23*i. Let f(h) = 23*h. Determine n(f(o)).\nAnswer: -13754*o**2 + 529*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 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: Which is the second biggest value? (a) -0.4 (b) 30 (c) 0.4 (d) 1\/6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -65\/4 (c) -1 (d) 12 (e) 10 (f) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*h + m + 147, 2*m + 144 = -3*h. Calculate the common denominator of -23\/32 and ((-9)\/h)\/(12\/230).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 533651949*h**2 - 553803*h - 146.\nAnswer: 1067303898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -4*sqrt(12)\/sqrt(96)*-5)**2.\nAnswer: 30*sqrt(2) + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-27)\/(-288))*3\/(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = v + 19. Let m be 8326\/v - (-10)\/15. Let s = m + 197. Are 0 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7506094 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*u = 116*u + 4650 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-114)\/(-24) + 3\/(-4). Suppose b = -1 + o. What is the third derivative of 4 - 9*i**2 + 9*i**3 - b - 1 wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 + 4*b**3 + 9*b - 13*b**3 - 18*b**3 - 9*b.\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-21))\/(((-4725)\/(-28))\/(-25))\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/20)\/((16\/(-504))\/(-20*13\/182))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 5. Let n(b) = -b + 10. What is the units digit of n(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 530077653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.87 - -0.13. Let i = 119\/183 + 1\/61. Which is the third smallest value? (a) i (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g + 4. Let w be l(-4). Suppose 5*m = m + w. Calculate the remainder when ((-14)\/(-1))\/(6\/9) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1016, -1017, -1018, -1019, -1020, -1021?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 492, 555, 636, 729, 828, 927?\n\"Answer: -x**3 + 15*x**2 + 25*x + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 4300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 340651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l + 38. What is c(14)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*((0 - 5 + 4)*(-2*u - 3*u + 3*u) - 1 + 1 + u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*d + d - 10, -20 = -4*d. Let s(z) = -19*z - 441. Let y be s(-23). What is the third biggest value in -4\/5, u, y, 0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -0.3, 5\/6, 3\/5 in descending order.\nAnswer: 5\/6, 3\/5, -0.3, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d + 4 = 35*d, -22638 = -5*q + 3*d. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 24879.942 seconds?\nAnswer: 414.6657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, s: 4, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04188 - -1.08832. Let w = 1.14 - n. What is w rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-43)\/(-3) - ((-155)\/(-15) + -10). Suppose 7*w = i*w - 70. Do w and 10 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 179, 373, 629, 977, 1447, 2069, 2873, 3889?\nAnswer: 5147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 127908 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - o + 5*v + 10 = 0, o - 4*v - 8 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 79, 83, 89?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*k - 6 = 0. Solve -2*p - k = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 7*j + 7. Let u be l(8). Let s be (-960)\/(-4*u\/(-30)). What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*((sqrt(75) - (sqrt(75) + -2)) + 0)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 8.007747ns?\nAnswer: 0.008007747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -9\/383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 803 + 1156 = 0. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5004 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004 = -4*w - 984 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*j**4 + 74*j**3 - 74*j**3 + (2*j**2 + 0*j**2 - j**2)*(1 - 3*j**2 - 1) + j**4 + 3*j**4 + j**4.\nAnswer: 66*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5368 - 5228. Calculate the greatest common factor of b and 720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let f = 5 + l. Let x(w) = -w**2 + 4*w + 4. Let y be x(f). Solve 0 = n - y*n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*f + 66 = -107*f - 4*n, f + 4*n + 0*n = -70 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-12))\/((-2)\/(-12)) - -4. Suppose -2*h - 2564 - 330 = i. Let f = h + 2414. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3092 (base 10) to base 9.\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2011686, 2011717, 2011754, 2011797, 2011846?\nAnswer: 2011901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -11. What is the first derivative of -8*s + 3*s - p*s - 3 + 3*s wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 167579599*j*z**2 + 71*j*z - 156*z + 7889 wrt z?\nAnswer: 335159198*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:19 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14981, -14992, -14995, -14990, -14977, -14956?\n\"Answer: 4*q**2 - 23*q - 14962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 50. Suppose -l = -3*x + 2*x + 1386, -l = -m*x + 4156. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 30 - 68) + -14?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25872*q**3 - 54*q**4 - 25892*q**3 + 48*q**4 + 2*q**5 - 3*q**5 + 3*q**5 - 2*q**5 + (-q**5 + 0*q**5 - q**5)*(4 - 2 + 0).\nAnswer: -4*q**5 - 6*q**4 - 20*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 28 + 23 - 7957*v**2 - 70)*(-v + 5 - 5 + 0*v - 3*v + v + (v + 0*v + 0*v)*(3 - 1 - 4) + 0*v - 2*v + v).\nAnswer: 47742*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00077207167 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 16 = 26. Let a = 20 - c. Factor -z - 4*z + 62*z**3 - 64*z**3 + z + a*z**2.\nAnswer: -2*z*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 5*o = 15. Suppose -5*i + 9 = 4*j, 2*j + 3 = -4*i + o. Is j < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 221\/35 + -40\/7. Let h be ((-2)\/(-21))\/((-6)\/14). Which is the nearest to 3? (a) 0.4 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5232 - 2*x + 74*x**2 + 5233 - 10467 + x as o*x**2 + c*x + h and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*y + 140, -39*m - 85 - 90 = 5*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1963 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-37 + 0)*21*(-4)\/(-12). Let n = x + 274. Solve -2 + n = -2*z - 5*d, -z - 5 = 2*d for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19833594 divided by -9916797\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10521 is divided by 2100.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -472.4 + 451. Let u = -21.7 - l. Let s = -11 - -15. Sort 0.4, u, -0.5, s in increasing order.\nAnswer: -0.5, u, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 30.05675 centuries?\nAnswer: 36068.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 8:20 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3))**(45\/4)\/(v*v**6*(v*v**9)\/v) assuming v is positive.\nAnswer: v**(-47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - 50) + 5 + (1 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*v - 8*v - 8*v + 24*v**3.\nAnswer: 24*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 + 6\/2. Suppose 0 = -r*q + q. Solve i = 5*u + 2, -2*u + q = 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 11*a**4\/4 - 2*a**3\/3 + 5*a**2\/2 + 32*a. List the prime factors of s(2).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 + 1645*u**2 + 678967*u + 2022123 = 0. Calculate u.\nAnswer: -821, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 512*g - 5393*g + 1351*g + 1034*g.\nAnswer: -2496*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**3 - 18*o**2 + 134*o - 745. What is the thousands digit of w(-23)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252317 minus 13511.8?\nAnswer: -265828.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/863 and 67\/66?\nAnswer: 56958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 - 512*r**3 + 48 + 62.\nAnswer: -512*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425236 is divided by 212564?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4075 (base 10) in base 12?\nAnswer: 2437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6)\/(-51) + (0 - 2085\/(-51)) is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.2, 5\/2, -1\/6, 6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 + -10)*(-4)\/(-6). Put j, 1, 0 in descending order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -25. Let l(p) = 3*p**4 + 2*p**2 - 3. Let v(q) = 11*q**4 + 9*q**2 - 12. Let f(k) = m*l(k) + 2*v(k). Differentiate f(g) with respect to g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/79? (a) 5\/57 (b) 4 (c) 1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -1474*t**3\/3 - 449*t**2\/2 - 2*t + 2254. Find the second derivative of k(n) wrt n.\nAnswer: -2948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 10*r - 15 - 4*r**2 + 1 + 4*r**2. Let f be v(12). Let t be (-20)\/8*(0 - 2). Calculate the highest common divisor of t and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*i + 3*h = -49, 5*i - 97 = -h. Suppose -f = 4*f - 60. Calculate the remainder when i is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dvdd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -652 and -648 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 10:14 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11172 + 22741. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.11011 + -0.18989. What is the third biggest value in 2\/11, h, -5, 0.121?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1472842845*h**3 - 1473014475*h**2 + 171635*h - 5 = 0. Calculate h.\nAnswer: 1\/17163, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -4. Let u(i) = i + 2. Let f be u(0). Let w(p) = -p - p + c*p - f*p. Let y(k) = -3*k. Calculate y(w(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4276 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o. Let l(m) = -27*m**2 - 1. What is x(l(f))?\nAnswer: 54*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58935.15 - -11916819.85. Let x = u + -11975745.999999. Let f = 9 - x. Round f to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 14*l**2 + 25*l + 26. Calculate p(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -11*a - 7. Let f be z(-5). Put f, 6\/5, -1 in increasing order.\nAnswer: -1, 6\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 61, -1\/6, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 135, 5, -1 in decreasing order.\nAnswer: 135, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21212, 21214, 21216, 21218?\n\"Answer: 2*m + 21210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 5, v: 11}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -5.9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71743, -71742, -71741, -71740, -71739, -71738?\nAnswer: -71737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(1100) + 4.\nAnswer: 4 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -21*j - 43. Let k(y) = 11*y + 22. Let l(h) = -6*f(h) - 11*k(h). Let t(d) = -3*d - 14. Let b(q) = -2*l(q) - 3*t(q). Calculate b(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1357.\nAnswer: 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 13*u**2 - 13*u - 14. Let a be i(-14). Let x be a\/(-12) + 2\/(-6). Solve d + x = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 5 = -3*w, -2*j = -67*w + 63*w - 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8556 + 13972. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26\/7 (b) 4.3 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54169513?\nAnswer: 19, 1151, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -5, -3, -65015 in increasing order.\nAnswer: -65015, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101101101121210 + 0?\nAnswer: -101101101121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*v - 3, -2*q + 26 = -2*v - 3*v. Let f be 3\/2 - (-117)\/(-90). What is the fourth biggest value in -2\/3, v, f, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-92)\/(-7130)*-31)\/((-3)\/(-270))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 11*c**2 - 18*c + 25. Calculate n(-10).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 125.172 centuries?\nAnswer: 12517.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a centimeter in millimeters?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2011829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*d - 25 = 0, 2*o + 34 = 4*o - 2*d. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88008 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 3 - -28) + 80 + 39 + -16.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 d when three letters picked without replacement from {n: 12, d: 3}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 897 + -221. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 498 - 182. Factor 784*f**3 - 12 + 80*f - 504*f**2 + 1688*f**4 - r*f**4 + 8.\nAnswer: 4*(f + 1)*(7*f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 9:20 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - s**3 + 2*s**3 + (s - 5*s + 3*s)*(-1 + 1 - s**2) + 15*s**3 - 6*s**3 + 12*s**3.\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y - 103 = -595. Suppose h = -3*p - 2*p + 22, -88 = -4*h + p. Calculate the remainder when y - 16\/4*-1 is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 - 23 + 3 + 8)*(3*s**2 - s**2 - 5*s**2) as r*s + p + z*s**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0965990226 rounded to 5 decimal places?\nAnswer: 0.0966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -915 + 922. Is 32 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -16.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 441 + -446. Let d be 36\/(-495)*-11 + 4\/l. Solve y - 4*y - 5*t + 25 = d, 5*t - 25 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1206)\/6*2\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -12, -137 in increasing order.\nAnswer: -137, -30, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-66652)\/114)\/((-3)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + 5 + 0 + sqrt(363) + -2)**2.\nAnswer: -66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-6)*(-1)\/1*(-58)\/16*-4.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 15 - -96) + 9 + -2. Solve 38*v + 11 = t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057953 to 3 dps.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from {h: 9, f: 3}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7.34. Let d = 414.389 - 414. Let o = k - d. Round o to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 42*h**2 + 650*h + 8. Is 12 a factor of i(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 312?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l**(-2\/3))\/((l*l\/(l*l*l**(-2\/13)))\/(l**2\/l))*((l**6\/l)\/(l**(3\/7)*l))**(-41) assuming l is positive.\nAnswer: l**(-41291\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4\/9)*k*(k**(9\/2)\/k*k)\/k)\/(k**(-21)*k*(k**4*k)\/k) assuming k is positive.\nAnswer: k**(395\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.94013 months to years.\nAnswer: 2.1616775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14167649 is divided by 546.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.55, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -406953976, -406953977, -406953978, -406953979, -406953980, -406953981?\n\"Answer: -f - 406953975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 12*w + 5. Let v be f(10). Let n = -22 + v. Suppose -2*y = n*j - 16, j - y = -0*j - 3. Solve -j*m - 4 = -0*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4981.94233815 and 0.09.\nAnswer: -4981.85233815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 9) in base 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-232)\/(-3))\/(6\/18). Let z be 3*(g\/12 + 0). Let s be z\/6*(122 + -2). Round s to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllauuuuiluulvujiulu. Give prob of sequence ul.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145763 = -5293*w + 8145 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/334 and 25\/16.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 + -34 + (-1 - -17). Is 113\/26 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.46 - -21.56. Put u, -1, 1.51, 2\/17, -0.2 in increasing order.\nAnswer: -1, -0.2, u, 2\/17, 1.51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531262603?\nAnswer: 61, 1033, 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1579\/7 + -226. Is p at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/14)\/(-6*5\/140). Let o(c) = -c**3 + 4*c**2 + c - 1. Let d be o(l). Suppose -d*s + 0*s + 66 = 0. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. Suppose 3*v = t*i + 1, -4*v = -3*i + v - 2. Find the common denominator of 67\/16 and i*((-36)\/(-14) - 3).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -13. Let p = -106.3 - -106. Which is the nearest to -1\/3? (a) p (b) l (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1238282.2 to the nearest 1000.\nAnswer: 1238000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let h(p) = -p + 10. Let u be h(5). Let v be l(u). Let x = v - -8. Sort 4, -2, x in increasing order.\nAnswer: -2, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.31141 kilometers to millimeters.\nAnswer: 47311410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 != -20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000011035 rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l. Let x(y) = 3*y - 156 + 156. Calculate p(x(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -119*w + 115*w - s, w = -2*w + 5*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 4*s + 7. Let w be g(5). Suppose -x + 8 = w*l, 4*x - 5*x + 12 = 4*l. Solve 3*t - 5*k = -5, -x*t + 3*k - 2 = 12 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4055*k - 69. Does 7 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*z = -139*z + 160. Solve 6*m + 4*p - 26 = z*m, -3*m - 5 = -5*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + -1 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 42 - -74. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**6\/45 - q**5\/15 - q**4\/6 + 4*q**3\/9 + 4*q**2\/3 - 3*q + 2. Let m(j) be the first derivative of n(j). Factor m(h).\nAnswer: 2*(h - 2)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 11654116.\nAnswer: 46616464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) -0.3 (c) -0.08 (d) 6 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120478707681 + -52.8.\nAnswer: -120478707733.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*-10 + -1. Suppose 5*u + 24 = z*u. Let a = 49\/2 + u. Which is bigger: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3221*i**2 - 17*i**3 - 25*i**3 + 3222*i**2 + (3 + 24 + 47)*(3*i**3 - 3*i**3 + 3*i**3) to the form c*i**3 + q*i + m*i**2 + t and give c.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + -0.28. Let a = 12 - 8. Let z = 7 + -6. What is the second biggest value in z, c, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 337839 and 95157985?\nAnswer: 285473955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-25)*15820\/1243\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*l + 15 = 0, 3*t - 9 = 4*l - 2*l. Let n be 1\/2*(-18)\/t. Let x = n - -4. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26897 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z + 659 = 599 + 1928 + 1076 for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-493)\/51*(14 - (16 - 5)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*a - 4, 2 = 3*c - 5*a + 10. Suppose 0*n - 8 = -c*n. Factor 2*m + 2*m**3 - 13*m**3 + 8*m**n + m**3 + 0*m.\nAnswer: -2*m*(m - 1)*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - w + 16 + 0*w. Let f(j) = 10*j - 8. Calculate the lowest common multiple of f(6) and p(0).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 315 - 271. Calculate the least common multiple of j and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37\/108 - 16\/27. Let f = -2 + 2.3. Sort 8, b, f.\nAnswer: b, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -2*sqrt(1088)*1)**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/12 - (-14)\/24*-15. Let u be 36\/(-16) + 2 - 34\/o. Which is the biggest value? (a) u (b) 30 (c) -3\/7 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {k: 3, p: 1, a: 2, v: 3, c: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9088 + 9087.8994535. Let o = d - 0.2654748. Let y = -0.366 - o. Round y to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4811 + -3)*(-30 - -29)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(128)*1 - ((sqrt(242) - (sqrt(242) + -1)) + sqrt(242))) + (sqrt(8)*-5)\/sqrt(4)*-6 + -5.\nAnswer: -6 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -4 (b) 2 (c) 1\/3 (d) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4687699628 and 4204.\nAnswer: 4204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -10*w + 11*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -10\/9, -1, -152731?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/((-7)\/10 + 1). Suppose v = 175 - n. Solve 2*w + w = v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -4, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**4 + 12*s**3 - 6*s**2 - 4. Let g(r) = -3*r**4 - 13*r**3 + 5*r**2 + r + 5. Let j(t) = 4*g(t) + 5*m(t). Determine v so that j(v) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 5*b + 7 = -13*z, -5*z = -2*b - 8. Solve -z*f + 5*f = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145186 by -72593.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -11*l + 15. Let b be m(-5). Calculate the highest common factor of b and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p - 30*p = 312 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 445987.453 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60934462*u**2 + 5018381?\nAnswer: 121868924*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623.74221ns to hours.\nAnswer: 0.000000000173261725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*v + 127*v = 0. Suppose 0 = -v*b + 3*b - 114. Suppose 3*y - 5*y + 5*q = -b, -12 = -3*q. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2769946, -2769384, -2768822, -2768260, -2767698?\n\"Answer: 562*g - 2770508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1860154 from 0.01656.\nAnswer: -1860153.98344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 3, q: 4, l: 2, a: 3, k: 6}. What is prob of sequence ea?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17ae0 (base 16) in base 7?\nAnswer: -552530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -17233*k**3 + 108*k**2 + k + 44. Let b be y(11). What is b rounded to the nearest 100000?\nAnswer: -22900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.038 - -0.01. Let n = w + -0.372. Let d = -1 + 0.8. What is the smallest value in n, d, -0.07?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 13, -4, 2 in increasing order.\nAnswer: -13, -4, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/11 in 0.2, 0, -0.09, -1\/16, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 22*j + 17*j = -18*j + 60*j + 74, -7*v - 4*j - 132 = 0 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6608 and 1462272.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*19\/(-76)*(25\/(-15))\/((-35)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21704.7 days to nanoseconds.\nAnswer: 1875286080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**3 + 8*p**3 + 2459*p - 2459*p.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + v**2 - v - 15. Give j(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0 + 11\/6*h**3 - 1\/3*h**4 + 3*h**2 + 0*h + 1\/60*h**5. Is 10 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/4, -48, -67\/5, 5 in descending order.\nAnswer: 5, -1\/4, -2, -67\/5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208440246*i*l**2*w**3*x - 3*i*l**2*w + 7*i*l*w**3*x - 1533*i*l*w*x + i*l*w + 37*l*w*x - 2*l - 8*w**3 wrt l.\nAnswer: -416880492*i*w**3*x - 6*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198283 and 777?\nAnswer: 4163943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x. Let h(r) = 2*r**2. Calculate c(h(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54675 is divided by 749.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**4 - s**2 + (-3*s**3 + 2*s**3 - s**3)*(0*s + 2*s + 0*s) + (-s**2 + s**2 - s**2)*(4*s - 3*s - 2*s)*(4 - 4 + s).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 + -18.44. Round s to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1122343, 4.6, -2, -4, 0.1?\nAnswer: -1122343","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, -2, -3, 0.26 in ascending order.\nAnswer: -3, -2, 0.26, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 18)*(-6)\/4. Let d be (1\/(14\/3))\/(a\/(-40)). Solve 6\/7*h + 6\/7*h**2 + 2\/7 + d*h**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20256 + 360*l + l**2 + 159*l - 20256 as i*l**2 + w + x*l and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 384*j - 2*j**4 - 2 + 104*j to the form u*j**3 + b + t*j**4 + m*j + x*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6 - 12\/(-9). Suppose -3*f = -f. Suppose f = m + k - 3, -4*m - 2*k + 12 = -2. Solve p*o = 4*h - 8*h, -m*o = h for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1359*f**4*m - f**3*m + 18*f*m + 41*f wrt f.\nAnswer: -16308*f**2*m - 6*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 318.65 and -4.\nAnswer: 314.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1 + sqrt(891))*1)**2.\nAnswer: -36*sqrt(11) + 895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90861000 rounded to the nearest one hundred thousand?\nAnswer: -90900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - (-7 - (-1 + -3)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128580 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 205708*f**3 - 7290*f**2 + 2*f - 1 wrt f?\nAnswer: 1234248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -368 + 368. Solve b = -6*w + 12*w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/15)\/(20\/1272) + 3\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -3. Suppose -o = -d - 26. Calculate the common denominator of -55\/7 and (d\/(-8))\/((-9)\/(-42)).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -12.9, 3 in ascending order.\nAnswer: -12.9, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2 - 6*t + 7. Let r be (-22)\/(-7) + (-16)\/112. List the prime factors of i(r).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 10*u**2 + 7*u + 8. Let o be m(9). Let w = 1.141 + 0.099. Let n = -5.24 + w. What is the closest to o in 5, -0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 36. Let q = 12 + -7. Solve -6 = q*i - 3*s, -t*s = i + 1 - 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -3. Suppose 4 + 0 = l. Put 1, h, l in descending order.\nAnswer: l, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (90\/(-105))\/(((-12)\/7)\/((-24)\/(-16)))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16. Suppose 0*t + t = 3*a - 12, -3*a = -5*t. What is the second derivative of -l*k + k - 6*k + k**t wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*h + 9 + 3*h**3 - 38*h + 95*h as k*h + a*h**3 + u + i*h**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**2 + 27*u**2 - 576822*u**3.\nAnswer: -576822*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-36))\/(((-3)\/(-1))\/165)*(-3)\/(-1).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57362 - 53533.3. Round f to the nearest one hundred.\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 12 = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 354770718 a multiple of 1513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 - -11. Let k be (r\/(-20))\/((-8)\/(-20)). Sort k, 0, 5, -1 in decreasing order.\nAnswer: 5, k, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158546987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (17 - 20)\/(1\/(-2 - -1)). Suppose 5*a + 9 = -4*u, r*a = -4*u - 8 + 1. Let w be (9 + -2)\/(a\/(-11)). What is w rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12386 - (3 + 5) - 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 549\/14 + -79\/2. Let d = -0.04 - -0.12. Let s = -2.08 + d. Which is the smallest value? (a) s (b) t (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0217858582 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*i - 5, 3*z + 4*i - 2256 = 0. Suppose -38*n - 19 = -72 - 61. Suppose -n*h = -z - 120. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2. Let m(s) = s - 2. Let h(g) = 2 + 1 - g + 3 - 3. Let x be -4 - -5 - (-2 - -1). Let k(r) = x*h(r) + 3*m(r). Calculate k(y(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 119721, 120028, 120541, 121260?\n\"Answer: 103*x**2 - 2*x + 119620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x + 4. Let a be k(-5). Let l be (6\/(-14))\/(a + 0). Sort -5, l, 1\/2 in decreasing order.\nAnswer: 1\/2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:33 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + j + 379 = -4*j, 4*p = j + 494. Let y = -6 + p. Calculate the remainder when y is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/19 and -10\/171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1828*5\/240 - (207\/108 + -2)\/(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10993 by -1.\nAnswer: -10993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43905004 = 5*c - 2*d, 0 = -2*c - 3*c - 3*d - 43904994. Round c to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47041*b*s**4*v**2 - 10*b*s**3 - 2077*b*s*v + 2*b*v**2 + 6*s*v**2 + 2*s*v wrt s.\nAnswer: -564492*b*s**2*v**2 - 60*b*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 2152*p**2 - 4292*p + 2144.\nAnswer: -4*(p - 536)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(245) - -2*sqrt(245)) + sqrt(245)) + -5)**2.\nAnswer: 1120*sqrt(5) + 62745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -213, -206, -185, -144, -77?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.876 * 362137.\nAnswer: -317232.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v\/((v*v*(v\/v**0)\/v*v)\/v)))\/v)**(2\/109))**(12\/13)*(v**(-2\/17)*v**(1\/2))\/(v**6*v*v**(-2\/27)) assuming v is positive.\nAnswer: v**(-8533951\/1300806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/8*(-3 + 1). Suppose -3*x = 3*z + 3, 18 = 2*x - g*z - 1. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(-5*(sqrt(162) - (0 + sqrt(162) - sqrt(162))**2) + 1).\nAnswer: -2 + 270*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r + 11*r + 4 - 9*r**2 + 4*r - 19*r - 2. Let h(o) = 8*o**2 - o - 2. Suppose -5 = -2*j - 19. Give j*h(t) - 6*l(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 29*b - 98. Let t be i(4). Suppose 75 - 29 = -5*d + t*o, 5*d + 2*o = -54. Let c(n) = -n + 3. Determine c(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3059106156.\nAnswer: 2, 3, 28325057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14216096 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8708.000302 - 8708. Round u to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 243*z = 248*z - 4, 13 = 5*r + 2*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**7)**(1\/5) assuming u is positive.\nAnswer: u**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 10, 0.1, 22.8 in descending order.\nAnswer: 22.8, 10, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 946508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 13*p - 2*p**2 - 17*p - 2*p**2 - 3. Give c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42390 or -29912?\nAnswer: -29912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -900416.517 + 578.\nAnswer: -899838.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1213067 - -2?\nAnswer: 1213071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 1 = 0, 2*r + 16 = 4*a + 48. Suppose -2*l + r = -5*m, l + 4*m - 2 = -8. Calculate the least common multiple of l and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1134002 - 15?\nAnswer: 1133654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) -1\/4 (c) 6 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**3 + 34*n**3 - 70*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0600124 millilitres to litres.\nAnswer: 0.0000600124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 51806648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 260 - 254. Factor -4*a - 2\/3*a**2 - t.\nAnswer: -2*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/31)\/(1\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 11*p - 3. Let w be s(6). Suppose -w*u + 0*u = 3. Sort u, 5, 1.\nAnswer: u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.285 - 2.485. Which is the closest to 0.1? (a) 1\/8 (b) -2\/5 (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11725260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26255, -52507, -78759, -105011, -131263, -157515?\n\"Answer: -26252*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -59652 + 17?\nAnswer: -59635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12*621\/(-4968)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 + 2142?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21155 or -32.97?\nAnswer: -32.97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - i - 3600 = 0, -w - 5*i + 627 + 93 = 0. Is 79 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9269\/24552 - (-6)\/(-16). Let p = 25\/99 - t. Is p smaller than 0.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -3. Suppose i - c - 6 = b, 2*c - 9 = -6*i + i. Solve i*x = -5*a - 15, a + 3*a + 12 = 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 2*m + 30, -w - 7*m + 3*m = -18. Suppose 0 = -4*r + 50 - w. Suppose -3*f + 12 = f. Calculate the least common multiple of f and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let p(w) be the first derivative of -8 + 0*w**2 - 29\/3*w**3 - 2*w. Calculate h(p(y)).\nAnswer: 841*y**4 + 116*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -358 - -3144?\nAnswer: 2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Let t(r) be the first derivative of -5*r**2\/2 - 3*r - 11. Let i(a) = 3*n(a) + t(a). Let m(l) = -4*l. What is m(i(p))?\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68144 by 22.\nAnswer: 34072\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11*u**2 - 125*u - 36. Determine b(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2955.766 weeks?\nAnswer: 20690.362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f = -170*f - 999 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 13. Let q = 3.49 - -0.11. Let d = q - z. Round d to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 218090 divided by -218090.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 68*j - 72*j = -17, 3*z - 18 = -j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 10*r + 30 + 49*r**2 - 12 - 48*r**2. Let t be o(-8). Suppose -t*g = -379 + 57. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 659.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-1\/34)*(m*m\/m**(-1\/3)*m)\/(m\/m**6))\/((m\/(m\/(m*m\/m**(-4)*m*m))*m**(-7)*m*m)\/(m**(1\/4)\/m)**(1\/12)) assuming m is positive.\nAnswer: m**(4325\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -14*b**2 - b. Let i be q(1). Let c be 0\/(-2) + i + 12. Is (c\/4)\/((-2)\/16) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = g + 15, 2*n - 2*g - 2 + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y + 83. Let r be g(-27). Let n = r - -710. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-17674866.9.\nAnswer: 7069946.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100712990?\nAnswer: 2, 5, 7, 73, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 - -76. Suppose 3*q + 29 = t*x, 0 = 5*x - 3*x + 3*q - 19. Suppose 2*h - x*h + 1170 = 0. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*a = -4*v - 764, 3*a + 128 - 21 = -115*v + 108*v for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3543743 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10550892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 + 18. Let p = z + 59. Solve 5*h = p - 3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 29*w**3 - w**2 - 1. Let g = 7 + 3. Calculate the remainder when v(1) is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 0.1, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13871819 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*d - 20, 4*d - d + 5*j = -2. Let v be 9 + -9 + (-3)\/(-3)*d. Suppose -v = 4*q - 7*q. Solve q*r = -3*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 382*y - 3. Let z(a) = -763*a + 5. Determine 5*m(x) + 3*z(x).\nAnswer: -379*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -9*z + 4*z. Let a(y) = -z*y**2 + 2*y**2 + y**2 + 7*y - 4. Give a(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 99*k + 915. Calculate i(-87).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 17 = -4*n. Suppose 2*b - 1 = 3, -2*o - 2 = -3*b. Suppose o*w - 18 = -w + 2*m, 8 = 5*w + 4*m. Sort n, w, 0.\nAnswer: 0, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -99, 0, 5, -3, 1, -4 in decreasing order.\nAnswer: 5, 1, 0, -3, -4, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let p = -2 + m. Let v = 2.9 - 3. What is the nearest to v in 2\/23, p, -2?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -2.7. Let b = n + -1.8. Let f = -0.12 - 0.08. What is the nearest to 1 in f, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**2 - 2*x**4 + x**2)*(67894 - 1175 + 1192 + 68544 + 54674 + 67795) to the form f*x**2 + c*x**3 + t + l*x**4 + u*x and give l.\nAnswer: -517848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/(-2))\/((-2558)\/2558).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84736550 a multiple of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/(-9))\/(2\/12). Let j = s + -16. Is j\/10 - 110\/(-25) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2827? (a) 2 (b) 1\/1271 (c) 7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c + 7*c + 2*c - 12*c. Let v(f) = -4*f**2. Calculate y(v(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let j = 5\/3 - f. Let w = -1.84 + -3.16. Which is the closest to j? (a) 0.2 (b) 3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12768597 is divided by 5132.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4676, 8844, 13012?\nAnswer: 17180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -60. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4*1*-2. Let l(z) = 9*z + 64. Let n be l(-7). Which is the second biggest value? (a) n (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1313 + 5844. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2035406 - 2035403.999998. Let d = q - 2. Round d to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-2)*(-38)\/836*33.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -43. Let t = l - 17.4. What is the closest to 0.1 in 2, t, -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*((j**(3\/5)\/j)\/j)\/j*(j**(1\/3)*j)**5)\/(((j**(-4\/9)*j)\/(j\/(j**(1\/3)*j)*j))\/(j\/(j*(j**(-2\/3)*j*j)\/j*j))**(2\/81)) assuming j is positive.\nAnswer: j**(7709\/1215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000100708203 rounded to 6 decimal places?\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/10*(-95)\/38.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 1, w: 1, l: 2}. What is prob of picking 1 a, 1 f, and 1 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/54*15*(-12)\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddkdddkdddkdkkkdd. What is prob of picking 3 k?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebqgbgdbegbgd. What is prob of picking 1 b and 2 e?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -661?\nAnswer: -664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132829691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y**2 - y. Let m(l) = 11*l**2 + 2*l. Determine -8*g(i) - 5*m(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 435, 2, 8, 30, -1 in descending order.\nAnswer: 435, 30, 8, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58 - -88. Let d = -146 - -148. Let l be -3 - (d - 35\/7). Solve l = 3*q + g + 20, 3*q + 4*g - g = -x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1660*-422571\nAnswer: -701467860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 21167*x**2. Let r(y) = -2*y. Give i(r(h)).\nAnswer: 84668*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 11. Let c(z) = -z**2 - 4*z - 25. Let n be c(0). Let l be n\/(-2) + (-36)\/8 + 4. Calculate the remainder when 36 is divided by v(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339114.\nAnswer: 2, 3, 56519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 90.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 4508?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1bb0 - 24?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 - g + 9. Let b be r(5). Suppose 21 = 5*h - b*w, -1 = 10*w - 11*w. Solve -10 = -5*t - 5*y, 2*y - 5 = t + h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-7) + (-23)\/7. What is the units digit of d\/(27\/96)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -165 and 0.5.\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -276439593 to the nearest 1000000.\nAnswer: -276000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 3:04 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m + n + 5, -4 = -2*m + 4*n. Is (-8)\/32 - 125\/m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -11. Let w be (-202)\/505 + (-7)\/((-105)\/(-54)). Calculate the remainder when 41 is divided by (s\/(-3))\/2 + (-42)\/w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -0.17931285?\nAnswer: -0.03586257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 1043, 2749, 5161, 8279?\nAnswer: 12103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*d - 2274, 4*b + 565 + 1751 = 2*d. Is 0.4 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 3*w + 0 + 4*w**2 - w**3 + 7\/6*w**4. Let u(l) = 9*l**2 - 4*l + 5. Let y be (16 + -4)\/((-6)\/4). What is y*u(o) + 5*a(o)?\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 12*g + 45. Let h be 2*(-2 - (-11)\/(-2)). Let k be y(h). Let q(d) = 18 + 6 + 6*d - 7*d. Determine q(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 3:44 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27242221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(-1 + 36*i + 1)*(-14*i - 41*i - 37*i - 9*i).\nAnswer: 7272*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2. Let y(c) = -2*c**5 + 6*c**2. Let a(w) = -6*t(w) - 2*y(w). What is the third derivative of a(u) wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/5599547 and 52\/2865.\nAnswer: 83993205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -1\/2*a**4 + 16*a - 5\/2*a**2 - 33 - 10\/3*a**3. Is b(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 826827?\nAnswer: 3, 23, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 427*m - 424. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24783 - -64599. What are the prime factors of c?\nAnswer: 2, 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 3 (c) -3\/35 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102317770?\nAnswer: 2, 5, 10231777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 - (-10 + -6 - 7). Suppose -25 = -2*t + 23. Suppose 12 = 3*p - t. Solve x*a - 3*a = p for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -549713, -1099508, -1649305, -2199104, -2748905, -3298708, -3848513?\nAnswer: -4398320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06268 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 87.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 944*p**3 - 1331*p**2 + 7*p - 14. Let t(i) = -473*i**3 + 666*i**2 - 3*i + 6. Let b(c) = 3*j(c) + 7*t(c). Find the third derivative of b(w) wrt w.\nAnswer: -2874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 15. Suppose 0 = -5*u, -4*x + 2*u + 28 = -0*u. Let c be v(x). Let g be -1*c\/(-2) + 0. Does -2\/3 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -22*y**6\/3 - 4*y**3\/3 - 4*y + 25. What is the third derivative of t(b) wrt b?\nAnswer: -2640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6574781.\nAnswer: 2063, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a - -14e768?\nAnswer: 14e74d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 63829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n*n**(-6)*n)\/n*n))**(-21)\/((n\/n**(1\/3))\/(n*n\/(n\/((n\/(n\/n**(3\/4)))\/n))*n)) assuming n is positive.\nAnswer: n**(-1247\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -4*x - 11. Let u(l) = -l - 3. Let t be (1 - (0 - 54))*(-12)\/30. Let h(y) = t*u(y) + 6*b(y). Let j(q) = -9*q**2 - 1. Determine h(j(n)).\nAnswer: 18*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2. Let x(j) be the third derivative of 31*j**5\/60 - 7*j**3\/3 + 22*j**2 + 8. Give x(h(g)).\nAnswer: 31*g**4 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 - 9)*(-5)\/(-1). Let g(k) = -2*k - 8. Let s be g(c). Suppose 16 = -4*x + 4*i, -6*x - 1 = -s*x + i. Sort x, 0, -4 in descending order.\nAnswer: 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/146596 and 11\/536?\nAnswer: 293192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y**3 + 5*y**3 + 7*y**3 - 22*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 + -152066390138.\nAnswer: -152066390139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x - 3. Let h be t(-5). Suppose -h*w - 8*l + 14 = -3*l, 2*w + 4*l = 12. Suppose -w*m = -z + 157, -m + 813 = 5*z + 3*m. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2. Let d(j) = -325*j**2 + 2*j + 2. Determine d(h(z)).\nAnswer: -1300*z**4 + 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -1\/2506772?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19 - -20)*(-54 - 31)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 41*z**3 + 3*z**2 - 3. Let j(k) = -k**2 - 1 + 7*k**3 + 2*k**2 + 7*k**3 + 0*k**2. Let u(m) = 17*j(m) - 6*w(m). What is u(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2318 + 1439 = 3*n - 4*x, 2*n = -x + 2490. Is 1246 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605932 is divided by 605931.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 106 = -5*y, 68*y + 46*y = 167*y - 38*y - 30 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + -15. Let g = m - -46. Which is smaller: g or 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1223657676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/11 - 328*f**3 + 3604*f**2\/11 + 328*f - 3606\/11 = 0. Calculate f.\nAnswer: -1, 1, 1803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36148215 and 6540?\nAnswer: 1635","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, p: 12}. What is prob of picking 2 p?\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24332 divided by -136.\nAnswer: -6083\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 426181415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c2c (base 13) in base 6?\nAnswer: -31423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 13*c**2 - 17*c - 17. Give x(-12).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) -23 (c) -422519 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-75))\/(26\/(-3120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 574 - 502. Calculate the least common multiple of z and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 29*v**2 - 127*v + 253. Let u(h) = -24*h**2 + 128*h - 252. Let m(y) = 4*t(y) + 5*u(y). Factor m(p).\nAnswer: -4*(p - 31)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2730*p**4*q**2 + p**2*q**2 + 9*p**2 + 3*p wrt p.\nAnswer: -65520*p*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*t - 29*t - 35*t + 2*t**3 + t**2 to the form g + j*t**2 + z*t + p*t**3 and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 23. Let m be q(8). Suppose -6 = -2*i + n + 2, -5*i = 3*n - m. Find the first derivative of -15 + 10*o**2 - 10*o**2 - i*o**3 - 4*o**3 wrt o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5184135 divided by -52365?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-15))\/2 - (-5016)\/(-9). Is s > -558?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0259 - 2.2559. Let o = s - 0.37. Let f = o - -2.1. Which is the closest to 2? (a) 1 (b) f (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 81 - 75 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2027 + 8109\/4. Let j = -0.1 + 0.1. Which is the closest to f? (a) -3 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014703 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51184 is divided by 17058.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 1171 + 1165 = -2*b, -5*v = -4*b + 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-405)\/81 + (13 - -1) + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2219*d - 12670. What is q(-6)?\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 8:05 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + r - 4*r + (0*r - r + 2*r)*(5 - 4 - 2))*(0*r + 2*r + 3*r)*(-4 + 3 + 2).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-112)\/60)\/(1*1\/10) and -85\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 f when two letters picked without replacement from swllf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + 2 + -2 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/((z\/(z**(-12)\/z))\/z)*z)**(-12\/5))**(-9))**(-1\/23) assuming z is positive.\nAnswer: z**(216\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/2037 and -35\/132.\nAnswer: 89628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18744 = 417*u - 409*u. What is the hundreds digit of u\/6 + (18\/(-4) - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0*v**2 + 0 + 3\/20*v**5 - 1\/18*v**6 + 1\/9*v**3 + 8*v + 1\/126*v**7 - 7\/36*v**4. Factor r(k).\nAnswer: k*(k - 2)*(k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = r - 7, -59*r - 5*v = -54*r - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1410\/622079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4.6301 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178 * 0.0159.\nAnswer: 2.8302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -729109, -729176, -729243?\n\"Answer: -67*l - 729042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000275596648 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/4*2 + -4. Suppose 2*x = p*x. Put -4, -1, x in descending order.\nAnswer: x, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 40 = -38*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1529, 4926, 10587, 18512, 28701, 41154, 55871?\nAnswer: 72852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 - 95.9881. What is n rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywrywcwywy. Give prob of sequence ry.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/9)*o*o\/o**(4\/17) assuming o is positive.\nAnswer: o**(202\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-27)\/12)\/((-15)\/40). Suppose -s*n + 20 = -n. Suppose 2*k + n*k - 60 = 0. Solve 0*o = 2*o - k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*x - 360*x - 354*x + 3*x + 50*x in the form n + r*x and give r.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11272901\/195 - 57810. Let b = 2\/39 + q. What is the biggest value in -3\/7, b, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446c6 (base 13) to base 6\nAnswer: -2355012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 364 and 36932?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3761*-196.\nAnswer: -737156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 2*h - 4. Let r be d(3). Suppose 3*p - r = -p. Find the third derivative of 0*x**2 - x**p - x**2 - x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g + 2*g + 155 = 0. Let f(l) = -10*l + 10. Let h(x) = -5*x + 5. Let u(o) = -3*f(o) + 5*h(o). What is the units digit of u(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1581609411 or 0?\nAnswer: 1581609411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -150, 1\/6 in ascending order.\nAnswer: -150, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -31*d**3 - 4 + 8*d**3 + 0*d**2 + 10*d**3 + 14*d**3 + d**2. Determine z(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22572055 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3423*d*n + 58473*n wrt d.\nAnswer: 3423*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230350 and 24395.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -a. Suppose a*i = i. Let m(w) = -w**2 - 6*w - 2. Let h be m(-5). What is the nearest to i in -2\/11, -4, h?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004371 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103895d (base 16) to base 14.\nAnswer: 238a87b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 127 = 251. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5511*h**3 - h - 10966*h**3 - 1 + h + 5485*h**3 in the form w*h**2 + m + i*h**3 + x*h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 107*k + 271. Determine z(-4).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t + 0*t)*(6*t**3 + 3*t**3 - 2*t**3).\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -333\/16 or -1375?\nAnswer: -333\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -334501 - 2?\nAnswer: -334503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 6818030 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w - 4. Let c be u(5). Suppose 9 = 5*p - c. Suppose 2*m = p*d - 40010, 3*m = -4*d + 11291 - 71283. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + u - 2*u**2 - 14*u**3 + 2*u**2 - 1182*u**4 + 1183*u**4 to v + g*u + i*u**4 + x*u**3 + f*u**2 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - 15038126?\nAnswer: -15038150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65612875 and 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49348 + -20352. What is q rounded to the nearest one thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 + -1 + (1 - 9) + (-4 - -24) + -21?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - 6*m - 42. Let w(l) = 40 - 22 + l - 18. Let y(c) = s(c) - 2*w(c). Factor y(a).\nAnswer: 2*(a - 7)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -848 = -21*q - 176. Suppose 40*v - q*v - 1944 = 0. Calculate the smallest common multiple of v and 2.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10749 - -5?\nAnswer: 10750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.38 + 9.08. Let h = n - 7.8. What is the nearest to h in 3, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 8*j**3 - 3*j**2 + 2. Let q be i(2). Let k = 94 - q. Let g = 69 + k. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 16) in base 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (20\/15)\/2 + (-49)\/(-3). Suppose 2*k + 0*k = 4. Solve -k*l - 5*q = -27, -2*l + h = q + 2*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 - 22. Let u(n) = -35 + 2*n**2 + b. Let m(p) be the first derivative of -p**2 - 17. Give m(u(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9058*m - 3931*m + 2326*m - 1232*m to the form r*m + x and give r.\nAnswer: -11895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4248 and 48.\nAnswer: 8496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 - 17*f + 3. Let n(s) = s**3 + 2*s**2 + 6*s. Determine -k(j) - 3*n(j).\nAnswer: -4*j**3 - 11*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 39 = 0. Let r(n) = n**2 - 4*n - 7. What is the remainder when q is divided by r(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 6*v - 5. Let j be i(-6). Let s = 0.7 + -0.6. Put s, 4\/3, j in decreasing order.\nAnswer: 4\/3, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:18 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 0*l**4 - 1\/12*l**5 + 0*l**3 + 3*l + 0 + l**2 - 1\/120*l**6. Give x(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (176\/(-704))\/(7\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*u + 25 = -159*u. What is the remainder when u is divided by 18\/5 + 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 331219?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75*9\/450*-34?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from vrndn?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634158 and 271782.\nAnswer: 1902474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8*b + 342 = 0. Suppose q = 3*q - b. Let v = q + 23. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 + 7*x + 2. Let h be (5 - 0)\/((-3)\/(-3)). Let c be g(h). Let z = -26 - -50. Solve c = 3*d, 4*b + z = 2*b + 4*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 534.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 - 115*m + 233. Let x be w(41). What is the greatest common factor of 969 and x?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -214725797474\/40517 - -5299647. Let k = z - 81240435\/6239618. Let s = -139\/14 - k. Calculate the common denominator of -101\/4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*k + 164 - 55 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(4\/(8\/3)). Let a be -3*(-2)\/(c\/1). Which is bigger: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (586\/(-293))\/(1\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -1180.2.\nAnswer: 4720.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3*w**3 - a**3 - 3*a**2*w**2 - 11774*a**2 - 29916*w**4 wrt w?\nAnswer: -6*a**3 - 717984*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 2:37 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 16 = -d - 4*d, 5*d = r + 14. Let v(j) = 5*j - 4. Calculate the least common multiple of 5 and v(d).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 456 by 114.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -88449586800 rounded to the nearest 1000000?\nAnswer: -88450000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + j**2 - j. Let r(y) = 6*y**3 - 5*y**2 + 5*y + 2. Give -r(n) - 5*u(n).\nAnswer: -n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - w**2 + 1 + (-4 + 17 + 2)*(0 + 0 - 2*w**2) - 6*w**2 + 2*w**2 + w**2.\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6911 - 715 + 6384 = 340*g for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a millisecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-10))\/(5 - (-962)\/(-195)). Let h(u) = -u**3 + u**2 - 1. Let v(z) = 5*z**3 - 9*z**2 - 9*z + 12. Let y(n) = -4*h(n) - v(n). Determine y(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -22201221?\nAnswer: 22201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 111*(-3)\/(-117) - 3. Let t = -18.6 - -19. Which is the nearest to -1? (a) t (b) -1\/8 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - (20 - 71) - (-1 - -3 - -17)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 43 = -3*c. Calculate the remainder when -52*(0\/(-2) + -1) is divided by (15\/6)\/c*0 + 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 - -149. Let c be (2\/(-12))\/((-5)\/(-4)). Sort c, -3, h.\nAnswer: -3, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose -2*c + 295 = 5*h, 2*c = -3*h + d*c + 177. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1287662 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -48*d**2 + 15. Let l(n) = 82539 - 41276 - 41261 - 7*n**2. Let g be 93\/6 - (-2)\/(-4). Give g*l(c) - 2*y(c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 4*c + 28 = 0, -5*y - 534 + 571 = -3*c for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -158418.\nAnswer: 5\/2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-67\nAnswer: 26.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049861 rounded to five dps?\nAnswer: -0.00499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 7*p**2 + 34*p - 44*p.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 3\/4, 2, -2\/9, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-638)\/(-435) + ((-117)\/(-143) - 1) + 39\/(-330).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/85 in -2, 315, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60967166*o**4 + 17559101*o - 1 wrt o.\nAnswer: -731605992*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1 = -4*a, 0 = -2*n - 10 - 0. What is the lowest common multiple of a and (-93)\/(-9) - (-1)\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 3*c + c)*(55 - 6 - 70 - 145).\nAnswer: -166*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w + 46. Let y be b(16). Let r be y\/(-5) + 24\/15. Determine d, given that 1\/3*d**3 + 0 + 0*d + 0*d**r = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/(-20 - -19) - 1. Let p(t) = 166*t + 335. Give p(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110.0535 - 110. Let o = -22.3535 + a. What is o rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/4 + (-63 - -36)\/(5 - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84\/6141425 or 1?\nAnswer: -84\/6141425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3 + -0.1196925563.\nAnswer: -6.4196925563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -5. Suppose o = b*x - 9659 + 332, 4659 = 2*x + o. What is the units digit of x\/28 + (-3)\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*y**5 - 785*y**3 + 1570*y**3 - 789*y**3 + 0*y**3 + 0*y**3 + 3*y**5 + (-y**2 + 4 - 4)*(3*y**3 + y**3 - 3*y**3).\nAnswer: 141*y**5 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express ((b + 0*b + b)*(-2*b + 0*b + 3*b) + 3*b**2 + 3*b**2 - 2*b - 5*b**2)*(-11*b - 52 + 52) in the form a*b + j + p*b**3 + i*b**2 and give p.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 h, and 1 v when four letters picked without replacement from vhvgvgvvvhvvgg?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrtbbwx. Give prob of picking 2 b and 2 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 1:56 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 6:00 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 0 + (sqrt(243) + 1 + 5 + (sqrt(243)*1 - sqrt(243)) + -4 - (-3 + sqrt(243) + sqrt(243) + 0 + 4 + sqrt(243)))**2.\nAnswer: -36*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + (sqrt(416) - sqrt(26) - sqrt(26))*5)\/(sqrt(12)\/(sqrt(18)\/sqrt(3)))*6.\nAnswer: 66*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 190423 times -0.2\nAnswer: -38084.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 42*v + 91. Let p(t) = -14*t**2 - 124*t + 274. Let b(w) = -10*c(w) + 3*p(w). Let b(g) = 0. Calculate g.\nAnswer: 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/8)*i\/(i*i**(12\/7)*i))**(-1\/26) assuming i is positive.\nAnswer: i**(173\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -2.2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7090 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 597*j + 2991. Calculate z(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-12))\/((1682\/783)\/58)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 0. Let a = 6 + u. What is the second derivative of -6*q + 0*q + 3*q**a + 3*q wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:18 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 333 - 84 = 0. Let x = q + -59. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-seven fifths of a second?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2, -1\/3, 2\/15, -7.5.\nAnswer: -7.5, -1\/3, 2\/15, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*a - 20 = 0, 0 = -4*p + 80*a - 83*a + 35 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.73710191 to 3 decimal places.\nAnswer: 45.737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 29. Which is the third smallest value? (a) -0.3 (b) 5\/6 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.4 - -27. Let d be (2\/1)\/(-2)*-1. Let v = -7\/16 - -3\/80. Which is the closest to v? (a) 2 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - o**2 + 18*o - 18 - 10*o + 0*o**2.\nAnswer: -4*o**2 + 8*o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l - 12. Let u = -365 + 370. Let z be s(u). Let h(o) = -o + 11. What is h(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 210.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -18628.7 and 0.5?\nAnswer: 18629.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1384644, -1384666, -1384678, -1384674, -1384648, -1384594, -1384506, -1384378?\nAnswer: -1384204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -33, -27, -19, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785 divided by -3?\nAnswer: -2785\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/11 - 15*x**2\/11 - 63*x\/11 - 81\/11 = 0 for x.\nAnswer: -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17399, 34778, 52157, 69536?\n\"Answer: 17379*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 5, -1, -11 in descending order.\nAnswer: 5, 3, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8*(-1)\/(-17))*-2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a - -13?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 5) + -10 + (7 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from rorjrrrjroojrrrjooor.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5446, 5413, 5358, 5269, 5134, 4941, 4678?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 119 = -28*a. Let n(t) = 5*t + 44. Let z be n(a). Solve -4*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 28263816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1111011110?\nAnswer: 1111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 20 = -20*b. Suppose b*y - 9*y = -588. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427289 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10643414, 21286836, 31930272, 42573728, 53217210, 63860724?\nAnswer: 74504276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s - 67. Let q(o) = -2*o - 100. What is -7*h(w) + 5*q(w)?\nAnswer: 4*w - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -173, -272, -369, -464?\n\"Answer: f**2 - 104*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001054 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53.2 + -57.74. Let r = t + -0.46. Sort 1, r, 2.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-4 - (-3 - 5) - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1039, -1036, -1031, -1024, -1015?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 15*s**2 - 13. Is o(4) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**3 - 56*t**2 + 25*t - 32. Give m(11).\nAnswer: 1453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34835 is divided by 2063.\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 1361739.\nAnswer: -4085217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 37. Let n(t) = t**2 - 75*t - 104. Determine m(n(k)).\nAnswer: -k**2 + 75*k + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 814951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12905074?\nAnswer: 2, 7, 13, 17, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 631.9 - 632. Let t = -0.48 - 0.02. Which is the third biggest value? (a) m (b) t (c) -55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 10*d**2 - 357*d + 250. Let a be v(35). Solve -4*u - f - 1 = -7, -a*u + 3 = -f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 1 = -u, 2*u = 82*j - 87*j + 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -10*b + 87. Calculate the remainder when 53 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-8)*-3*2. Let s = -7 - q. Calculate the lowest common multiple of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6)*(-135)\/(-30). Let h be 18\/12*58\/d. Let z = h - 36. Let x(c) = -c - 5. Determine x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.4 (b) 10\/19 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-252)\/(-21)*2\/(-4)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(242)*2 + 4)**2.\nAnswer: -1056*sqrt(2) + 8776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -31 + 16 + (2 + -63 - (-4 - -6))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*w**2 + 244*w**2 - 66*w**2 - 57*w**2 - 56*w**2 + w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 346729845 and 5.\nAnswer: 346729845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3537215371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(136) - (sqrt(136) + -4*sqrt(136))) - sqrt(136) - (-1*3*sqrt(136) - sqrt(136) - sqrt(136)))\/(6*-2*sqrt(32)*-2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -71. Put g, 4, -3, 1 in descending order.\nAnswer: 4, 1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 24*t**3 + 198*t**2 - 6*t - 6. Let v(o) = -26*o**3 - 192*o**2 + 7*o + 7. Determine -7*d(b) - 6*v(b).\nAnswer: -12*b**3 - 234*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1404, -5669, -12780, -22737?\nAnswer: -35540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 3*h + h + 4*h - h - 2*h + (-4*h + h + h)*(5 - 5 - 1) + (-1 + 1 + 1)*(2*h - 3 + 3).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -731, -6605, -22557, -53627, -104855, -181281, -287945, -429887?\n\"Answer: -840*f**3 + f**2 + 3*f + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b**3 - 24*b**2 + 17. Let r(l) = -7*l**3 + 8*l**2 - 6. Determine 17*r(x) + 6*w(x).\nAnswer: x**3 - 8*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 5:47 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**3 - 76918*y**2\/3 - 12217852*y\/3 - 903760 = 0. What is y?\nAnswer: -4108, -165, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -124988281.1 rounded to the nearest ten thousand?\nAnswer: -124990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, c: 4, v: 1, x: 10}. What is prob of sequence xcc?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 14 = 3*r, 5*c = r + 14 + 4. Suppose -r*g = -7 - 1. Suppose -32 = -g*t - 8. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 132174.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from nhbhhknhbbnhnhvbkkkh.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 + 7*i**3\/3 - 7*i**2\/2 + 11*i + 5. Let d be t(-8). Differentiate 2*s + 3 + 6*s - d*s wrt s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.19, -3\/23, 2\/9, -9.742 in descending order.\nAnswer: 2\/9, -3\/23, -0.19, -3, -9.742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 7) in base 14?\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -16*r - 399. What is z(-37)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.0787 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 25252?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10172 and 780701.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1\/8, 26, -333?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 578412 by -16067.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 + a**3 + a**3)*(11*a - 7*a + 6*a)*(-2 - 3 + 4).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h - 42*h + 18*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50431543 (base 7) in base 16?\nAnswer: -3ff9fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474*h = -486*h + 21024. Calculate the remainder when h is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -653 + 653 - 25*j to v*j + w and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c**0\/c))*c)**(-4\/5)*(c*(c*c*(c**5\/c)\/c)\/c)\/((c*c**0\/c*c)\/c)*c**5*c*c**(-2\/13)*c**3*(c\/c**(4\/7))\/c assuming c is positive.\nAnswer: c**(5676\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*a**3 + 386*a**3 + 383*a**3 + (0 + 2*a + 0)*(-2*a**2 + 2*a - 2*a) - 10 - 2*a**3 - 3*a + 10.\nAnswer: 548*a**3 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 3*m**2 - 3*m + 2. Let d be g(2). Suppose -4*f + b + 7 = 0, 6*f - 2*f = -5*b + 37. Solve -4 = -f*h - h, -4*a + 5*h - 17 = d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -305*o - 52467. Determine z(-172).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - (-37 + (-18 - -22)) - -12) + -13 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let u(l) = 2*l**3 - 9*l. Suppose -12 + 22 = -10*j. Calculate j*u(o) - 4*r(o).\nAnswer: -2*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -34*m - 114. Is h(-12) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.177815 rounded to four dps?\nAnswer: -0.1778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((14 - 11) + 3 + -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (-3 + 6\/3)\/((-3)\/72)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 2133, 7260, 17317, 33966, 58869, 93688?\nAnswer: 140085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411357 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6) - 4\/15. Let t = 11 - 11.3. Let r = t - 2.7. Which is the third smallest value? (a) z (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 468, 454, 418, 348, 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-4\/27)\/(((z*(z**1*z*z)\/z)\/z)\/((z*z**1*z)\/z)) assuming z is positive.\nAnswer: z**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((10 - (-8 - -17)) + 4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/91 greater than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**7\/(h**(-6)\/h))\/(h**(-8)\/h**(2\/17)))**(-4\/13) assuming h is positive.\nAnswer: h**(-1504\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128301 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + j + d - 12 = 0, -j - 4*d + 18 = 0. Let q be 11\/12 - (-2)\/(-8). Factor -q*s**j + 0 + 2\/3*s.\nAnswer: -2*s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -0.05, -1.33, 1\/5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 117 + 117.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1.5, 1, -0.5, -1, 195.57 in ascending order.\nAnswer: -3, -1, -0.5, 1, 1.5, 195.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 2*k**4 + 3*k**4)*(2 - 2*k - 2) + (-4*k + k + 4*k)*(-2*k**4 - k**4 + 4*k**4) + (-k**4 + 2*k**4 + k**4)*(-k - 12*k + 2*k).\nAnswer: -25*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 24*h**2 + 4. Let q be g(-24). What is the greatest common factor of 128 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 times -0.5\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_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 20436085 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-13 - -7) + (7 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -115270 divided by -58\nAnswer: 57635\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*w + 20 = 0, 2*w - 22 + 2 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -101, -199, -347, -551?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 8 = 0, -d - 3*k - 69 = -0*d - 70 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1715.\nAnswer: -857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 829653194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b218d (base 15) to base 10.\nAnswer: 1323358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 5*w - 4. Let a be m(-4). Let p = -4 + a. Suppose 3*q + 2*q + 29 = -4*s, 3*s - 17 = p*q. Sort 0, q, -2 in increasing order.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 + 75.75. Let p = o - 88. Which is the biggest value? (a) 0.4 (b) -2 (c) p (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 117 - 132 = 0. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(66))\/(sqrt(60)\/(sqrt(10)*-3)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/2 (b) 1\/7 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 228 and 6315.07924.\nAnswer: 6543.07924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**4 - 969*p**3 + 8559*p**2 - 25515*p + 25434 = 0.\nAnswer: 3, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a factor of 17520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 + 58*d - 438. Let u be z(8). What is the greatest common factor of u and 2212?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 + 216?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 less than -1504616720?\nAnswer: -1504616720.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 22. Suppose g = -12*u + 39 - 3. Let j be ((-5)\/10)\/((-8)\/(-48)). Put u, -2, j in descending order.\nAnswer: u, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**3 + 9*v + 73. Let a(o) = -4*o**3 + 13*o + 109. What is 5*a(t) - 7*y(t)?\nAnswer: t**3 + 2*t + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 0. Suppose 2*p - o = -59, p + 0*p - 2*o = -34. Let y = p - i. Solve 4*m - d = -21, -m + 2*d - 14 = -y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2. Let g(c) = -179*c - 33. Let z(x) = 538*x + 107. Let u(v) = -13*g(v) - 4*z(v). Determine u(p(d)).\nAnswer: 700*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2720*f + 10855*f - 2710*f - 2712*f - 2713*f - 3*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358, 366, 374, 382, 390, 398?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcjejwsswew. Give prob of picking 1 c and 2 s.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -147\/5, -2.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**6\/60 - v**5\/20 - v**3\/6 - 20*v**2. Does 13 divide w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b + 119. Determine a(-23).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -48708024.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 10300640.\nAnswer: -3\/1030064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -14. Let c = 62 - 39. Let u = c - a. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114433114415 + -4?\nAnswer: 114433114411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34848 divided by 4356?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + g**2 - g + 1. Let a be t(2). Suppose 27 = 4*u - 3*d, -3*u - a = -0*u + 4*d. Differentiate 5 + 2*l**3 + 0*l**u - 3 wrt l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qww when three letters picked without replacement from {q: 1, w: 10, m: 6}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 11*a**2 + 11. Let r(w) = -6*w**3 - 11*w**3 + 26*w**3 + 4*w**2 + 4 - 8*w**3. Determine 11*r(m) - 4*u(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 0, -4*b + 5*l + 8900 = b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.099 + 138.901. Let k = 139.1 - i. Which is the smallest value? (a) k (b) -2\/7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/(-15))\/((33\/(-6))\/(-11))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let x(h) = -2*h**2 + 2*h + 1. Let o(d) = x(d) + 6*z(d). Suppose 2*w + 115 = 5*g + 7*w, 0 = -3*g + 2*w + 64. Let k = -23 + g. Determine o(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 17. Let g be r(8). Solve 5*o + 16 + g = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-615)\/225 + 50\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 144 = -7*r. What is the remainder when 35 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + z + 3 + 4*z**2 - 2 to the form i + r*z + x*z**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19884448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0330927 to 4 dps.\nAnswer: 0.0331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120197.\nAnswer: 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155, -629, -1419, -2525, -3947, -5685?\nAnswer: -7739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - 692*b - 206*b + 275*b to y*b**2 + x + s*b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 253\/638 - 213\/(-2059).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-14.83283.\nAnswer: -5.933132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11\/((-308)\/24) + (-198)\/18 + 12. Factor 5\/7*j**4 - b*j**5 + 22\/7*j - 17\/7*j**2 - 1\/7*j**3 - 8\/7.\nAnswer: -(j - 4)*(j - 1)**3*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -405, -2006, -4655, -8340, -13049?\n\"Answer: 2*r**3 - 536*r**2 - 7*r + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 76400 (b) 1\/9 (c) 3\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 334768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 3491?\nAnswer: 3491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 2*o - 1. Suppose 6*f - 9 = 3*f. Let d be 2\/(-4) - f\/(-2). Calculate i(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(567) - sqrt(567))\/sqrt(9) - ((sqrt(567)*2 - sqrt(567)) + sqrt(567)))\/((sqrt(9) - 1*sqrt(27)\/sqrt(3) - sqrt(9)) + -3*sqrt(81)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 3*q**2 - 8*q - 16. List the prime factors of z(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-24) + (-712231)\/(-78) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or 19828352?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - 4 - -2*1. Let f(s) = s**2 + 8*s + 9. Let l be f(-7). Let o(c) = -l + 0 + 5*c - 4*c. Calculate o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 f when four letters picked without replacement from fmxgxgmfxxggxgwfgxxg.\nAnswer: 21\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*f - 17*f. Suppose 5*v = 4*o + 383 - 7163, f = 5*v + 20. Round o to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/(((-736)\/80)\/23)*-12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + u - 5129 = 0, 3*k = 7*k - 4*u - 10228. Suppose 0*a = -21*a + k. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*f = 81, 14*c - f = 12*c - 47. Let p be c\/(-2)*(-98)\/(-539). Solve 0 = p*g + 13 - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254 + -175. Let b = -5332 + 5410.49. Let c = x - b. What is c rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(0 + 1) + -2. Suppose 3*b - o = -b. Suppose -b*p + 5*i = -21, -4*p = -7*p + 5*i + 24. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14815\/26667 + 1270\/(-18)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/17?\nAnswer: 15\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.6973ns in seconds?\nAnswer: 0.0000007606973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 486639705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -474\/7, -5, -127?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/10 - (-9559)\/55. Let t = v - 100. Round t to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + (sqrt(2448)*-2 + -5 - (sqrt(2448) + 1)*-1) + 3 + 1)*2.\nAnswer: -24*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 110*u + 13965. Determine d(-127).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 5. Let v(g) = g**2 + 6. Suppose -x + 5*x = 5*s - 3, 0 = x + 4*s + 6. Let l = 19 + 41. Let r be x\/(-3) + l\/(-9). What is r*b(y) - 5*v(y)?\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -790*j - 19 = a - 795*j, -18 = 3*a - 2*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*3\/12 - -2. Let l = -6 + 7. Sort l, t, 2.\nAnswer: t, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208376.06 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 + 1.1. Suppose -157*l + 21 = -164*l. Which is the second smallest value? (a) 5 (b) -5 (c) l (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 s when two letters picked without replacement from {u: 2, s: 1, f: 4, d: 9}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 1 - 0. Let b(x) = 65*x**2 + x. What is the units digit of b(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 647*z**2. Let h(n) = -26*n. Determine h(g(y)).\nAnswer: -16822*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 526?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 142874576 to the nearest 100000.\nAnswer: 142900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.023 - -28.023. Let y = f + -18. Let k = y - 5. Sort -5, -1, k in ascending order.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*j - 84, -2*y - 59 + 27 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2331 and 700.\nAnswer: 233100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 143557 and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 9160137*p + p**2 - 9160137*p.\nAnswer: p**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-40)*v)\/v*v**(-2\/11) assuming v is positive.\nAnswer: v**(-442\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3371 + -1?\nAnswer: -3372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 4*h - 5. Let u be -2 - -1 - 6\/(-1). Let f = 9 - u. Let a be t(f). Let n(q) = -q**3 - 4*q**2 + 6*q - 2. Give n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -608, -539, -334, 79, 772, 1817, 3286?\n\"Answer: 12*z**3 - 4*z**2 - 3*z - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31502 and 140752.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -3 (c) -28 (d) -480\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 - 6*b**2 - 12*b + 17. Let i(x) = x**2 - 5*x - 30. Let r be i(9). What is the tens digit of z(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -11*z**6\/40 - 47*z**5\/60 + 2*z**2 + 51. What is the third derivative of q(g) wrt g?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v + 6. Let x be s(-2). Suppose x = 3*j - 16 + 4. Solve -j*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 15 + 90 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + 5*v)*(v - 5*v**2 - 519329 - 145*v**4 + 519329).\nAnswer: -435*v**5 - 15*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -97, 4, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 19*j + 50 + 26 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (194798*v + 2 - 254435*v + 3 - 5)*(-7*v + 3*v + 3*v) to the form j*v + m*v**2 + s and give m.\nAnswer: 59637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-2 + -3)*176\/(-5). Let d = n - -169. Put -3, 3, d, 0 in descending order.\nAnswer: 3, 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 138 + (-218 - -73) - (0 + 46)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058.8 seconds in microseconds?\nAnswer: 5058800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*z**3 + 5*z**5 - 2*z**3 - 11*z**3 + 15*z**4 - 15*z**2 - 11*z**3.\nAnswer: 5*z**2*(z - 1)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2*-1*(-140)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39924285503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501475257 is divided by 277.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(19) + sqrt(475)*-1))**2 + (-4 + sqrt(171) + 1)**2.\nAnswer: -18*sqrt(19) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1637619 * 0.5\nAnswer: -818809.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avm when three letters picked without replacement from {m: 12, a: 5, v: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 877 (base 13) to base 8.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 3*t**2 + 12*t**2 + 13*t**2 + 9*t**2 - 23*t**2 + 2*t.\nAnswer: 22*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p + 13 - 5\/6*p**6 + 0*p**2 + 0*p**5 + 0*p**4 - 5*p**3. What is the third derivative of v(t) wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 8*v - 22. Determine z(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-34)\/1)\/(-136))\/((-1)\/(-12)). Which is the third biggest value? (a) -1.1 (b) 4 (c) h (d) 0.033\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**2 + 10*y**2 - 4*y**2)*(1 - 1 - 2)*(31 - 31 + 134*y + (-1 + 3 - 3)*(-y - 1 + 1)).\nAnswer: -2700*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 75319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 2:48 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/40 and 107\/14200?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-5*(sqrt(833) - -2*sqrt(833)))**2.\nAnswer: 187425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**5\/5 - n**4 - 2*n**3\/3 + 28. Factor c(i).\nAnswer: -2*i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 4*s + 5. Let n be v(5). Let i(a) = a + 5. Let o = 72 - 28. What is the remainder when o is divided by i(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 69*j - 2. Let w(u) be the first derivative of 23*u**3\/3 - 2225. What is f(w(l))?\nAnswer: 1587*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y**3\/9 - 188205005*y**2\/3 - 25094001*y - 22584601\/9 = 0 for y.\nAnswer: -1\/5, 22584601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u**4 + 0*u**4 - 4*u**4)*(-u - 7 + 4*u + 5) - u**5 + 3*u**5 - 3*u**5.\nAnswer: 23*u**5 - 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 5*q - 105, -z + 8*q + 10 = 6*q. Find the second derivative of -2*x - 17*x**2 - 137*x**2 + 24*x**2 - z wrt x.\nAnswer: -260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1189 - -351. List the prime factors of o.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621385.\nAnswer: 3, 5, 13, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 106, 2, 0.5, 103, -2\/7, -1.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(704)*-1 - (sqrt(704) - (-1 + sqrt(704) + -2) - sqrt(704)))**2 - -5*(sqrt(704) + ((sqrt(704) - sqrt(704)*-1) + 5)**2 - sqrt(704)).\nAnswer: 800*sqrt(11) + 14241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 61033273?\nAnswer: -61033266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1140351?\nAnswer: 3, 380117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let p(i) = -3*i**2 - 5*i - 3. Let n(s) be the first derivative of 6 + s**2 + 1\/3*s**3 + s. Give j*p(x) - 5*n(x).\nAnswer: x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 94*i + 2010. Calculate b(61).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 10 (c) -0.138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - (-44)\/(-8))\/(2\/(-4)). Let n be ((-1320)\/25 + 0)\/(m\/1250). Round n to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1388 - -1578. Calculate the smallest common multiple of i and 50.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-10)\/150*-5)\/((-3)\/(-792)) and 12.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*r**3)*(20 - 20 + 12*r**2).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-76)\/1520). What is the biggest value in q, -62, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = s - 2. Suppose -4*r = -3*u - 924, 0 = -5*u - 0*u + s. Let t = r - 154. What is the highest common divisor of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m + 5. Let l be k(0). What is the nearest to -0.14 in l, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*y + 10, -41746*y - 3*k = -41741*y - 22 + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15967\/76600 + -14\/383. What is the common denominator of -31\/44 and y?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -38, -64, -90, -110?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 750 and -43.\nAnswer: -32250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 1 - (-48 - -42) - 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -104, -154?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 3*f**2 - f + 3. Let b be q(3). Suppose x + 4*x = b. Let l = 20 - x. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82026 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2923.331ug to tonnes.\nAnswer: 0.000000002923331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4149 + 18651 = 3*b. Round b to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 + -217. Let m be f\/30 + (-2)\/5. Find n, given that -1\/3*n**4 - n**m - 1\/3*n - n**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2))**(4\/7))**(-18)\/(p*p**(-2\/7)*p*p*p**(1\/5)*p**(-1\/12)*p**(3\/2)) assuming p is positive.\nAnswer: p**(6821\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 2, k: 2, w: 4, l: 1}. What is prob of picking 1 l, 1 j, and 1 k?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3479\/294)\/71*-10*1\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 3*f + 3. Let j be 6 + (-1)\/((-1)\/(-3)). Let m be p(j). Suppose 0 = v + m, n + 3*v = -0 + 1. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 2:33 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*v - 8, -v = 5*d + 6 - 2. Suppose 4*m - 4*o - 4 = d, -2*m + 1 = -3*o - 4. Put m, 4, -3 in decreasing order.\nAnswer: 4, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 22. Let q(i) = -i**o - 5 + 5 - 4 - 5*i. Let w be q(-3). Solve -5*c - 5*n + 30 = 0, -3*c - 3*n = w*c - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (57\/6)\/((-3)\/2334). Let y = o - -125682\/17. Calculate the common denominator of 33\/2 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.054 - 0.92.\nAnswer: -0.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 + -183. Let m be (-1258)\/(-7) - 4\/(-14). What is the greatest common divisor of m and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*z = -1, 2*z + 2*z - 4 = 4*o. Let s = -83 + 85. Let t be (s\/(-4))\/(o\/(-136)). Calculate the greatest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100110222 (base 3) to base 14\nAnswer: 2739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*a = 174*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0343113 to 3 decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 84088023, 168176044, 252264065, 336352086?\n\"Answer: 84088021*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5115754 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of 0*d - 1\/2*d**6 - 3*d**4 - 2*d**3 - 1\/2*d**2 + 9 - 2*d**5. Solve q(b) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48206 + -7222. List the prime factors of f.\nAnswer: 2, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-87)\/(-58))\/((-27)\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/589*(-6)\/9?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -6. Let s = 3 - 3. What is the third biggest value in -0.3, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-6 - -2))*-1. Solve v = -i*p - 3*v + 22, -2*p = -v - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3 - c**2 + 0 - 3. Let m(q) = -3*q**2. Calculate m(a(v)).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**2 - g + 1. Suppose 5*d + 4*q - 6 = -0*q, -2*d - 5*q - 1 = 0. Let h be (0 + 1\/d)*2*1. Determine p(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 12*r**4 - r**4 + 22*r**2 - 15*r**3 + 0*r**4 - 3*r + 15*r**3 to the form z*r**2 + m + k*r + g*r**3 + w*r**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -857*o + 890*o. Sort -9, 23, 0, o in descending order.\nAnswer: 23, 0, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 1)**2 + (-2*sqrt(204) + sqrt(204))\/sqrt(12))*-5.\nAnswer: -2130 - 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -6294468?\nAnswer: 1\/1573617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104)*3 - sqrt(104) - sqrt(104))*-5 - sqrt(104))\/(sqrt(128) - -2*sqrt(128)) + 5)**2.\nAnswer: -5*sqrt(13) + 113\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3676 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 6*z + 7*z**2 + 0 - 1\/2*z**3. Let f be i(6). Which is the closest to f? (a) 3 (b) 0.3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n - 29. Let a be j(2). What is the third biggest value in -2.1, 0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3*2 + -1 + 7. List the prime factors of -107*(q - (-8)\/(-2)) - 1.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -493 - -489. What is the biggest value in -0.013, -5, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 3*g**2 - g. Let z be o(3). Suppose -3*v - 24 = 3*v. Put z, -2, v in descending order.\nAnswer: -2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3\/3 + 10*k**2 + 12*k. Let c(i) = i. What is c(h(s))?\nAnswer: 2*s + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 9*t + 32. Let w be b(-10). Let x be 67\/(4\/w - 360099\/1980000). What is x rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*h**4 + h**2 - 164*h wrt h?\nAnswer: 240*h**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8439962.\nAnswer: 2, 4219981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/248)\/((-13 - 1) + 377*(-9)\/(-234)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 2*c + 3*a, 0 = 3*c - 9*a + 6*a - 315. Let i = -101 + c. Let l(y) = -y**2 + 9*y. Let z be l(i). Calculate the highest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3699151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b - 20. Let p be i(-14). Let v = p + 183. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146011.57 rounded to the nearest 100?\nAnswer: 146000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 6 = -20. Let v(r) be the first derivative of -4\/5*r + 2\/25*r**5 - 2\/5*r**3 + 2 + r**o - 1\/10*r**4. What is m in v(m) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2389 and -18255?\nAnswer: 15866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2230073387 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by 1.\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.035 - -1.115. What is r rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 30\/47339?\nAnswer: 30\/47339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c - 4. Let s(d) = 4*d**3 + d. Let t be s(c). Let r(j) = 4*j**2 + 4*j - 1. What is the units digit of r(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*4 + 2)*1.\nAnswer: 2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 7. Let d(b) = -2*b - 5. Let r be d(-5). Determine a(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -530 + 531. Let l(x) = -x**2 + x + 11175. Let f be l(0). Is ((-2)\/3 + j)\/(25\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2 - 1 = 2*f, 4*y - 14 = -f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 3553733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i + 11. Let x be s(-4). Find the common denominator of (2\/(-5))\/((-24)\/565) and (-4)\/(x - 194\/(-22)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78623543325 take away 0?\nAnswer: -78623543325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-15224)\/792 - -15)*-1\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-902)\/1107*-27\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4606, -4601, -4598, -4597, -4598?\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1065 and 0.03824.\nAnswer: 40.7256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 432 and 474 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -16. Suppose 0*u = g + 3*u + 11, u = -d. Let a be g\/14 + 114\/42. Solve a*k - 7*k + 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -379 - -381. What is the second derivative of -21*r + 1 + 4*r - 226*r**p + 5*r - 17*r - 11*r wrt r?\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/7)\/(30\/840)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (77883\/(-780) + 56).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**12*u)**42\/(u**33*u*u*u\/(u\/(u\/(u**(8\/11)\/u)*u)*u*u)) assuming u is positive.\nAnswer: u**(6080\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/729 and 187\/167670.\nAnswer: 167670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10270?\nAnswer: 2, 5, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -199?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122654 + -122654.1. Let h = 2 + -3. What is the second biggest value in h, 0.046, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*k**3 - 61144*k**2 + 61144*k**2.\nAnswer: -191*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 777\/(-25) - (24 - 65\/((-11375)\/(-4214)))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 68.9885 - -1558908\nAnswer: 1558976.9885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -39. Let f(g) = -3*g - 6*g - s*g + 2*g. Let a(r) = r + 3. Let z(x) = 2*x + 5. Let d(q) = -5*a(q) + 3*z(q). What is d(f(k))?\nAnswer: -13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -0.5 (c) -8 (d) -7 (e) -1\/172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-9) - 2)\/((-5)\/30). Solve -5*o - w*z = -o + 14, -5 = z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 91107580*l**2 + 415029465565225*l + 830059295560810.\nAnswer: 5*(l - 9110759)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**6\/6 + 13*g**4\/12 - g**2. What is the second derivative of r(u) wrt u?\nAnswer: -120*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14*94002*3\/(-252). Round x to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137 and -2018.\nAnswer: 276466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -53. Calculate the remainder when a is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (15 + -17 + 35 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -32458?\nAnswer: 3245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 32?\nAnswer: -7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 287*h**2 + 9*h. Suppose -7*c = -6*c + 7. Let l be o(c). What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-16)*((o\/o**(-1\/6)*o)\/o)**6 assuming o is positive.\nAnswer: o**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 - 22076*o**4 - 619594*o**3 - 1128788*o**2 + 619592*o + 1150864 = 0. Calculate o.\nAnswer: -26, -2, -1, 1, 11066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238.205 + -0.205. Let d = r + -240. Sort d, 0, -72 in increasing order.\nAnswer: -72, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 2323\/12072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00086173 to five decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*k**3 - 1580462*k**2 - 8920951626*k - 254883042 = 0. What is k?\nAnswer: -11289, -1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -569749, -1138865, -1707991, -2277133, -2846297, -3415489?\nAnswer: -3984715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 200 divided by -5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 3*p + 5. Let b be y(-3). Find the third derivative of -14*i**2 + 18*i**2 - i**b - 3*i**5 wrt i.\nAnswer: -240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/18*36\/42*(-6)\/40\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4 + 2. Let s(l) = 267894*l**2 + l. Let b be s(-2). Suppose -b = g*q + 268426. What is q rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose -y + n*y + 30 = 0. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i. Let a(t) = t**2 - 1. Let d(w) = 8*w**2 - 20. Let u(s) = 20*a(s) - d(s). Calculate u(o(z)).\nAnswer: 108*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1. Let n(v) = -3. Suppose -13*h + 9*h + 2*f = 60, 3*h = 3*f - 39. Let k(j) = h*l(j) + 6*n(j). Let s(o) = o**3 + 6. Calculate -6*k(g) - s(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.539547687 and 21.2.\nAnswer: 21.739547687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**5 - 276*q**4 + 1548*q**3 + 145908*q**2 - 889056*q + 1333584 = 0.\nAnswer: -21, 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313240 divided by 5?\nAnswer: 62648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4223 and 55494?\nAnswer: 23435.1162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/3 + 490*w**4\/3 + 1508*w**3\/3 - 4960*w**2\/3 = 0.\nAnswer: -5, 0, 2, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1201478 - 5*o**2 + 1201467 - 6*o**2.\nAnswer: -11*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 4, a: 7}. Give prob of sequence rrxx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/57 + 1\/57. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t - 28 = 44*t. Suppose 0*m - 972 = -9*m. Calculate the smallest common multiple of m and t.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 126135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 4*f + 22 = 6, -15*h + 33*f = 6*h + 30*f + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 5:34 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g*q**3*v - 5*g*q**3 - g*q**2 + 3*g*v - 7*q**3*v - q*v + 4*q wrt q?\nAnswer: -18*g*v - 30*g - 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40488\/2 - (135\/(-15) - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d - 6. Let h(o) = o**3 - 20*o**2 + 18*o + 14. Suppose -2*i + i = -38. Let j be 6 - 6 - i\/(-2). Let x be h(j). Calculate l(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 761243.1 litres?\nAnswer: 761243100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.2718382 rounded to zero dps?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 410 (base 15) to base 16\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/((-104)\/(-20))*(-7)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 966707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 6*y**2 - 2*y + 2. Let c be n(3). Is c greater than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335\/8*g**2 + 1\/2 + 337\/8*g**3 - 169\/2*g = 0. What is g?\nAnswer: -2, 2\/337, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 9:30 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -g - 171, 5*b - 426 = -4*g - 18. Calculate the highest common divisor of 24 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/52 and -99\/508?\nAnswer: 6604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*6 + sqrt(102) - sqrt(102))\/(sqrt(864) - (sqrt(864)*1 + sqrt(864))).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69018*k - 23*k**3 - 69018*k.\nAnswer: -23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2547233708.\nAnswer: 2, 19, 33516233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*w - 11 = 0, 4*w = -0*w + 16. Let u(r) = r**2 + 9*r - 1. Let d be u(o). Which is the third biggest value? (a) d (b) 2\/19 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v + 2*u - 22, 4*v - 26 = 5*u. Let x = 12 - v. Suppose -x*d = o - 17, 3*o + 22 = -2*d + 66. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 40*k**2 - 1803*k + 129. What is m(45)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and -883700.08147.\nAnswer: -883723.08147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10194402541\/513400986 - -420142\/126891. Let w = y + -2\/2023. Calculate the common denominator of w and (-27)\/(-4) + 1*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -70, -256, -566, -1000, -1558, -2240, -3046?\n\"Answer: -62*j**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 7*g**3 - 9*g**2. Let r(m) = 13*m**3 - 18*m**2. Determine -3*r(u) + 5*y(u).\nAnswer: -4*u**3 + 9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -818*j**5 - 432*j**2 - 9*j - 54978?\nAnswer: -16360*j**3 - 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103 and 98159?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 55*g*l**3*u**3 - 39*g*l*u**3*x - 2*l**3*u**3 + 12*l**2*u**3*x - 6*l**2*u**2*x + 6*u**3 - u*x wrt g?\nAnswer: 55*l**3*u**3 - 39*l*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1285*u**3*y + 94*u**3 + 22*u**2*y + 2*u*y + 95 wrt u?\nAnswer: 7710*y + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -1, 0.1, 1, 10, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 446 + -460. Let n be (-2)\/7 - (-220)\/(-14). Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6.7 and 54272567.\nAnswer: 54272573.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29500005 to the power of 1\/3, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 2*c**2 + c - c**2 + 0*c**2 to the form l*c + v + m*c**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 6*g - 2. Let p(c) = -c**2 + c. Let m(i) = -2*p(i) - v(i). What is m(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*j = -j + 11, r = 4*j + 13. Calculate the smallest common multiple of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 0.4, 5, -1 in descending order.\nAnswer: 5, 2.4, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4\/5 + 6*g**3\/5 + 218*g**2\/5 - 6*g\/5 - 216\/5 = 0.\nAnswer: -9, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(3\/4)))\/(r**9*r))**2 assuming r is positive.\nAnswer: r**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37 = -9. Which is smaller: -0.2 or w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6775 + -405?\nAnswer: -6b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -22*u**3 + 5*u**2 + 8*u - 5. What is the remainder when j(-4) is divided by 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 26*k - 17. Let h be r(19). Let w = 216 - h. Calculate the greatest common factor of 60 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 38. What is the third smallest value in u, -0.7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = -7*p - 6440. Let y = -291 - p. Let x = -138 + 692\/5. Which is the third smallest value? (a) x (b) y (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3701*u = -2*y + 3702*u, 0 = 5*y - 13*u - 72 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 192 = 5*n, -5*n - 196 = -2*r - 8. Let w be ((-27)\/n)\/((-10)\/8). What is the smallest value in w, 1\/4, 1, 2\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.958809 decades in months?\nAnswer: 1075.05708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3654 and 381318?\nAnswer: 33174666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 744\/(-62)*2\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(10*i - 10*i - 8*i**2) + i - i + 2*i**2 - 4*i**2 + i - i**2 + 3*i**2 to w*i + d*i**2 + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 52418 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3184, 4 in increasing order.\nAnswer: 4, 15, 3184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 142800 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5822?\nAnswer: 2, 41, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-33)*q)\/q)\/(q*q\/(((q*q**(-32\/7))\/q)\/q)))**48)**16 assuming q is positive.\nAnswer: q**(-212736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3759\/(-9) - 1 - (-10)\/15. Let q = m - -2907. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/(-12)*(-4)\/6*-19717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 8*p**5 - 76*p**4 + 65*p**3\/2 + 31*p**2 + 9*p\/2 = 0?\nAnswer: -1\/4, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 37 = -35. Suppose x*u - v = 657, -v - v = -u + 324. List the prime factors of u.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)**46)**(-2\/17)\/(((m**(4\/7)\/m)\/m**7)\/(m**(1\/7)*m**(1\/2)\/m*m)) assuming m is positive.\nAnswer: m**(3209\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 16 = 2. Let z(i) = -i**3 - 7*i**2 + i - 4. Let v be z(t). Let d = -42 - v. Solve 0 = -0*r - r - 3*a - 16, d*r = 3*a + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188 and 7708?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z + 27. What is o(8)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81a51 (base 16) in base 8?\nAnswer: -2015121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 152285*l\/2 - 304571\/4.\nAnswer: (l - 304571)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-12)\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 3 + 0*h + 2*h)*((-2 + 6 - 2)*(2 - 4 + 1) - 4 + 1 + 1 - 24 - 45 + 11).\nAnswer: -124*h + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 9, -5*l - 2*w + 2 - 3 = 0. Differentiate -3*c + 1 - 2 - l + c wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-6*sqrt(648)*1)\/(2*sqrt(64)*5))**2.\nAnswer: 1458\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*w - 3, -w - x - 19 = -20. Suppose w = -6*r + 4107 - 753. List the prime factors of r.\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/16 and -101\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2113*v**5 - 547*v.\nAnswer: -42260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 9) + (-15 - -8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*p + 165*p - 405*p**3 + 155*p - 3*p**2 - 488*p.\nAnswer: -405*p**3 - 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/11180 and -45\/8.\nAnswer: 22360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 7}. What is prob of sequence tt?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/15557618 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 10*f**2 - 7*f - 6. What is q(6)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 181\/20. Let z(n) be the second derivative of 0*n**3 + 0 + 0*n**2 + r*n**5 - 2*n - 1\/6*n**4. Find the third derivative of z(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2\/7, -145, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 11. Let g be b(8). Suppose g*l - 26 = -2*l - 4*z, 2*l - 4*z = 16. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117572.71097 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x. Let h be f(14). Let r = 14 + h. Suppose -2*z = 3*w - 105, r = 2*z + 2*z + w - 185. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (99\/3)\/(-3) - 3. Let l = 36 + r. What are the prime factors of l?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let s be u(6). Let m(f) = -414*f + 21 - 68 + 15 + 415*f + 28. Determine m(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 10*o - 3. Let a = o + 29. Calculate the remainder when (-1)\/(a\/584)*-7 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 8*l**2 + 11*l + 13. Let i(n) = n**3 - 6*n**2 - n - 3. Let z be i(6). Let c be s(z). Is 8 a factor of 180\/(-27)*12\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.355052*0.0432.\nAnswer: -0.0153382464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 15 = -35. Let o be 1192\/5 - 4\/l. Is o\/18 - (-2)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140*b**2 + 15*b**2 + 240*b**2.\nAnswer: 395*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1144 and -739?\nAnswer: 845416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.484? (a) -6 (b) 1 (c) -3 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + sqrt(216) + -1*sqrt(216)*-5)\/(sqrt(32)\/(sqrt(32)\/sqrt(288))).\nAnswer: 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 625358, 2\/3, -1.32?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5743 or -68911\/12?\nAnswer: -5743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0*t = -3*t - 15, -k - 2*t - 4 = 0. Suppose 0 = -v - 5*p - 0*p, 0 = 2*p. Solve k*q + 2 = -v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -195 + -10?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36447 + -12?\nAnswer: 36435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*q - 126*q + 56 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 251.6943 from -4.\nAnswer: -255.6943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -13*l + 414. Let y be h(22). Suppose 3*v - y = -5*v. What is the least common multiple of v and 88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 7.\nAnswer: -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/24928 and 161\/386688.\nAnswer: 15854208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45 - 83. Calculate the common denominator of 69\/44 and 380\/h*8\/20.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, x: 1, g: 5}. Give prob of sequence xgg.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 31, 16, 6, 4 in ascending order.\nAnswer: -5, 4, 6, 16, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 3*m**2 - 5*m + 5. Let i be p(2). What is the second biggest value in 1, i, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/1209 and -61\/156.\nAnswer: 4836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}