diff --git "a/data/dm_maths/full_data/11199_11255.jsonl" "b/data/dm_maths/full_data/11199_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11199_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate -124821061 divided by 982843.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64596569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(50)\/sqrt(5))\/sqrt(2) + 5) + 2*(sqrt(20) + sqrt(1280) + -1 + sqrt(1280))**2.\nAnswer: -133*sqrt(5) + 11577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109040 and 8460.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -9. Is 2*74\/s*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -798*j - 790*j - 788*j + 3141*j - 767*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9625 by -25.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + 132\/18. Suppose n*z = 2*z + 10. Determine i, given that -i**2 + 0 + 0 + i + z = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 29*o**7\/210 + 9*o**3\/2 - 18*o**2. Differentiate b(t) with respect to t.\nAnswer: 116*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 11*m**2 + 0*m**2 - 4 - 3*m**2 - 43 - 5.\nAnswer: 8*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, 1\/3, 2\/21, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44\/115 - 18\/23. What is the fourth smallest value in 5\/4, -7, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 4*r + 3. Let o be a(8). Let s = o - -561. Find the second derivative of 4*q - 401*q**4 + q + s*q**4 wrt q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s - k = 46*s - 916, 0 = -5*s - 3*k - 2290. Do s and -917\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 368, -4, -9, 0.3 in increasing order.\nAnswer: -9, -4, 0.3, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:02 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w + 14*w = 1440. What is the lowest common multiple of 768 and w?\nAnswer: 3840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2211059\/2310 + 5743\/6. Are 0 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/2 + 2 + (5 - 8). Let l = a - -6. Let u(v) = 9*v + 6. Let d(w) = 5*w + 3. Determine l*d(g) - 4*u(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -3*v - 20. Let k(s) be the second derivative of -s**5\/20 + 5*s**4\/12 + s**3\/3 - 7*s**2\/2 + 5*s. Let a be k(v). Solve -1 = 2*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 7*n**2 - n + 2. What is the units digit of l(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 513 - 537. Find w, given that -1 - 32*w**2 - 10*w**4 - 26*w**5 + 18*w**4 + 22*w**5 + 28*w + 8*w**q - 7 + 0*w**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/(c\/c**0)*c)\/c*c*c)\/(c*(c*c**(-4)*c)\/c*c))\/(c**(-5\/3)*c*c**(-5)*c)*(c**(-4)*c\/(c\/(c*c**(-2))))\/((c*c*c**4*c*c)\/(c\/c**2)) assuming c is positive.\nAnswer: c**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:32 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*d = 4080*d - 2056*d - 1173 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -339.7 and -0.1.\nAnswer: 33.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -103147093 divided by -1\nAnswer: 103147093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*549.5\nAnswer: -274.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**4*f - 2824*b*f + 13683*f wrt b?\nAnswer: 8*b**3*f - 2824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 6*c - 89. Let a be x(7). Suppose -a*f + 2*d = -814, -2 = 4*d - 18. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 26210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 16) to base 14.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -3\/2 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 60.81?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 43 + -62 - (1 - 18).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3\/5, 5, 9, 2\/17, -2\/17 in increasing order.\nAnswer: -10, -3\/5, -2\/17, 2\/17, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(26)\/sqrt(2) + 3 + -1 - ((sqrt(13) - (0 + sqrt(13))*6) + -3*sqrt(468)))**2.\nAnswer: 240*sqrt(13) + 7513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8951 - 7*c - 8951.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (3 + 2 + (-3 - -1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**9)\/(t*(t*t**(-4))\/t)*t\/(t\/t**(-1\/8)*t*t)*t**(-4) assuming t is positive.\nAnswer: t**(-89\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -9276*w**2 - 10*w - 12. Let j(l) = 48*l**2 - l - 1. Give 10*j(i) - y(i).\nAnswer: 9756*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-4 + 2 + 3 + -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -0.06. Let m = 0.29 - -0.71. Put -3\/5, l, m in descending order.\nAnswer: m, l, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 5*b + 0*b)*(570*b + 5 - 5 + 22*b).\nAnswer: -2368*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11548.\nAnswer: 2, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/11 - 3066*j**2\/11 - 3068*j\/11.\nAnswer: 2*j*(j - 1534)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a gram in milligrams?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -80, -148, -202, -236, -244, -220, -158, -52?\n\"Answer: a**3 + a**2 - 78*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) -2 (b) -0.41 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -373*0.3703\nAnswer: -138.1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2893827*c + 0*c**2 - 9 + 13*c**2 + 2893825*c + 19*c**2 in the form x*c**2 + o + b*c and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -3*r - 32, -75 = -2*w - 3*r. Calculate the greatest common factor of w and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -19. Let w = 0.33 + -0.03. Which is the second biggest value? (a) 4 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11399, -22643, -33887, -45131?\nAnswer: -56375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.8 + 0.09.\nAnswer: 40.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.49 - -0.43. Let b = 34 + -37.3. Let l = b + 1.3. What is the smallest value in r, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 11:38 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.5, -15, -1434?\nAnswer: -1434","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.4 + 0.6. Let g = 7.56 - 8. Let o = -0.44 - g. What is the second biggest value in o, r, -4\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, f: 5}. Give prob of sequence tt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 n when three letters picked without replacement from nnsvvsnn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -4 - -17) + 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90768216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 15. Let m be v(6). Let z = m - -19. Is -3 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/756)\/((-5)\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 9*o**2 - 14*o + 7. Let l be h(7). Does 5 divide 2\/l - -564*(-4)\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*i**2 + 20*i**5 - 56*i**2 + (7*i**3 - 4*i**3 - i**3)*(-4 - i**2 + 4).\nAnswer: 18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 7. Solve t - i + 4 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 28 = -z. Let j(b) = -2*b**3 - b**3 - z*b**2 + 6*b + 7 + 4*b**3. Let k be j(5). What is k rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 799*t**2 - 2007*t + 1206.\nAnswer: (t - 1)*(t + 402)*(2*t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67258 is divided by 568.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20485935 or 20485920?\nAnswer: 20485935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-13)\/4)\/((-45)\/24120).\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5796 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/99 + (-7222)\/18. Let d = z - -1984\/5. What is the common denominator of d and (1\/3)\/((-6)\/38)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 + -5.05. Suppose 148*w - 85 = 131*w. Which is the second smallest value? (a) -3 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w. Let g be t(-1). Put 0, -3, g, 8 in increasing order.\nAnswer: -3, 0, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, z: 3, y: 2}. What is prob of sequence yv?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 26511000 to the nearest 100000.\nAnswer: 26500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 32203330?\nAnswer: 32203334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.16033 - -0.1731. What is z rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 divided by 4.\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - s - 3 + (1 + 2*s - 1)*(3 + 1 - 2))*(-504 - 270 - 53) to t + b*s and give b.\nAnswer: -2481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1619586574.4 - 0.0406.\nAnswer: 1619586574.3594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74872, -75078, -75284, -75490?\nAnswer: -75696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 0*w - 5, -4*n + 2*w - 18 = 0. Let j be 2\/(-8) + n\/(-4). Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119 + -114. Suppose 2*u = -2*u - d*i + 179, 5*i - 138 = -3*u. What is the greatest common divisor of 205 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u + 2*u = -19*u - 87 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 22*m**2 + 27*m + 470. What is j(24)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2260?\nAnswer: 24860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185*-6.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v - 1. Calculate c(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Let y(s) = -s - 2. Let z be y(-7). Suppose 4*j + z*r - 37 = 0, -7 = 4*r - 27. Put -2, b, j in descending order.\nAnswer: j, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -346*s - 6358. What is the units digit of g(-60)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32125.41 + -2177.867?\nAnswer: -34303.277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 + 0.2. Let q = 0.58 - 0.13. Let h = 4.55 + q. Which is the closest to 3? (a) x (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -265, -787, -1561, -2587, -3865?\nAnswer: -5395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580 is divided by 118?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 + 8*v**2 - 9*v + 1. Let k be -5*(18\/40)\/(3\/(-8)). Calculate f(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -14. Suppose -b = -4*z - 3*j, 0 = 8*z - 4*z - 3*j - 27. Suppose t + 120 = z*t. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 316*d*h + 2*h + 41 wrt d.\nAnswer: 316*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + 1018*j + 32548. Determine r(-217).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/82 + -137\/738. Let v = -3.03 - -3. Let d = -0.97 + v. Which is bigger: y or d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10807 + 10813. Solve -8*j + a - x = -9*j, -j - 5*a = -14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 - 2*u**2 + 0*u**2 + 8*u**3 + 0*u**2.\nAnswer: 15*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 215355, 215479, 215603, 215727, 215851?\n\"Answer: 124*i + 215231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362 - 35*v - 362 - 4*v + 8*v + 26*v + 18*v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/7*s**2 + 0*s.\nAnswer: -2*s**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from egeeeg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*x + 39180 = 0. Let h = -2397 + x. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let n be -1 + 1 + 1 - 1. Suppose 3*q + 2*c - 4*c - 4 = n, -q - c = -8. Solve q*g + 4*i = 30 - d, -5*i + 25 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(196)*3).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccj when three letters picked without replacement from cqpsscccjppsqjsqss.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2296\/(-35))\/(((-6528)\/(-240))\/34).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 4*u**2 + 4*u - 4. Suppose 2 = 2*f - 4. Suppose 0 = w - f. Let m be -1 + -5 + (w - 1). Let h(a) = a**2 - a + 1. Determine m*h(v) - r(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743269873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 4*a**2 - 13*a**2 - 9*a.\nAnswer: -12*a**2 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/3 + 492*y**4 + 89558*y**3 - 1593992*y**2\/3 - 29406944*y + 264270720 = 0.\nAnswer: -371, -20, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 115*g**6\/144 - g**5\/120 + 5*g**4\/12 + 17*g. Let q(r) be the third derivative of z(r). Is q(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9495.626 decades to years.\nAnswer: 94956.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.14 in 10, 0.27, -3, 0.4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 41. Suppose -u = m*n + u, n - 4*u = 0. Suppose n*s + 32 = 4*s. Calculate the least common multiple of 18 and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:32 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((((z**(-1\/6)\/z)\/z)\/z)\/z)*(z\/(z\/z**(-1)))\/z)\/((z*z**(-6)*z)\/z*z**(-6\/7)) assuming z is positive.\nAnswer: z**(379\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186758 is divided by 102.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/2*0)\/3. Suppose r = -17*j + 3*j - 840. What is the units digit of 227\/3 - 4*5\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3112 or 7934?\nAnswer: 3112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013393876 to six decimal places.\nAnswer: -0.000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 18 (c) -2.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - (-23)\/3. Let z = m + -4. Suppose -z - 11 = 3*o. Let u(x) = x**3 + 5*x**2 - x - 2. Give u(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18679106087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 14. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6300 + -6302. Let v = 55\/6 - 263\/30. Which is the nearest to z? (a) 0.05 (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, -0.3, 4.1, 3, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-1133)\/(-198) + 6\/(-27))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 36515271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 4*z + 5. Let j(x) = x**3 + 16*x**2 - 3*x + 4. Let g be j(-16). Let p be g\/(-14) - 4\/14. Give s(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259289 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 4 = 0, 5*q + y - 511 = 0. What is the highest common factor of q and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 - -0.06836\nAnswer: 0.26836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, o: 2, a: 3, d: 3}. What is prob of sequence ooj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 14*i + 3. Let g be a(-6). Suppose 4*v + 5*z - 179 = 0, 3*v + 7*z - 3*z = g. What is the common denominator of v and 47\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express i - 2*i + 0*i + (-48*i - 31*i - 691 + 693)*(3 - 4 - 5) in the form f*i + o and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 16*r**4 + 340*r**3 + 2004*r**2 + 3808*r + 832 = 0.\nAnswer: -13, -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3693, -7386, -11079?\n\"Answer: -3693*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5*r**8\/336 - r**5\/12 + 5*r**2\/2 - 4. Let i(u) be the second derivative of j(u). What is the third derivative of i(m) wrt m?\nAnswer: 300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1186a - 0?\nAnswer: -1186a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l + 40. Let u(f) = 2*f**3 - 7*f**2 + 5. Let r(s) = -s**3 + 4*s**2 - 2. Let w(j) = 5*r(j) + 3*u(j). Let p be w(0). Solve -p*v = -7 - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -10*c + 7. Let f(g) = 3*g - 2. Suppose 5*y = -6 + 41. Let i(b) = y*f(b) + 2*h(b). Let j(t) = -10*t. Give j(i(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q - 256*q - 52*q = 103*q - 4360 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(30)\/(sqrt(9)\/sqrt(3)))\/(6*2*sqrt(2) + (sqrt(72) - 2*sqrt(72)))*-5)**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 166 + 34?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -48. Suppose -h = -y*h + 5. Factor 2*r**4 + 3*r**4 + 3*r**2 - 229*r**5 + 228*r**h - 7*r**3.\nAnswer: -r**2*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = -4. Let u be -29*(-3 + 3 + (2 - 3)). Suppose -103 = -c*w + u. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13249 * 25.572\nAnswer: -338803.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 2:16 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 4*t**2 - 4. Let z be c(-4). Let x = -0.5455 + 0.1455. Put 5, 0, x, z in decreasing order.\nAnswer: 5, 0, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, 0, -5, -2, 216 in increasing order.\nAnswer: -5, -2, 0, 188, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40 + -361?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 10:19 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -8.5, 2, 116?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 572*l**3 + 28*l**5 - 10*l**2 - 572*l**3 + (-l**4 - 2*l**4 + 5*l**4)*(-3*l - 4*l + 6*l).\nAnswer: 26*l**5 - 10*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37.1 + 37. Is h equal to -0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2 - 241*j + 593. Give y(27).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) -1\/5 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -890*t - 2331 + 12121 = 0 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.049, -4, 0.2, -0.09, -1\/6.\nAnswer: -4, -1\/6, -0.09, -0.049, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-4)*(9 + (-7461)\/837). Which is the smallest value? (a) 1 (b) g (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4.9 or 13.662?\nAnswer: 13.662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21173?\nAnswer: 31, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4010303*b**2 + 7*b - 656815?\nAnswer: 8020606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times 0.06?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b - 16. Suppose -3 = 5*r + 7. Let y(k) = -k + 3. Calculate r*p(g) - 11*y(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8199*d - 2. Let g(b) = 631*b. Give g(t(y)).\nAnswer: 5173569*y - 1262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x**2 - x + 1. Let w be 2 - (-2)\/6*-3. Let p be h(w). Let a(d) = -d**3 + d**2 - 6. What is a(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 9:21 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) -1\/4 (b) -0.3 (c) 1178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (13\/((-975)\/(-45)))\/(((-12)\/140)\/3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 43 = -93. Let h = -46 + u. What is the remainder when h is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6789 is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3333240 by 197.\nAnswer: 16920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*z + 2, -3*z + 31 = 2*z + 3*v. Solve 0 = -z*q + 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 521*f - z = 524*f - 6, 18 = -3*z. Solve -9*a = 3*r - 11*a - 5, -4*r + 8 = -f*a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-538)\/(-1614)*(72\/5)\/(-2)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -570, 409, 30\/7?\nAnswer: 409","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3944 - 3936. Let x(t) = -2*t + 0*t - 19 - 8*t. Let i(l) = -3*l - 6. Let j(u) = 7*i(u) - 2*x(u). Determine j(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 6. Let u be h(-4). Suppose -4*p - 3 = 3*w, 5*p = -w - u*w - 3. Let x = 0.0477 + -2.0477. Does p = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(-324)*-18*(2 + 1). Suppose -5*z = -15, 153 = 2*x - y*z - 585. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - (-30)\/(-8). Put 5, y, 1 in descending order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((34965\/(-210))\/111)\/(9\/456)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, -2566, -4\/5, 0.4, -0.07?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11013938 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.1, -2, -4\/5, 4, 147\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 3443203420?\nAnswer: -3443203414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**(-2\/3)))\/c**(-2\/5))\/(c**(2\/9)*c*c**3) assuming c is positive.\nAnswer: c**(-142\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/(1\/(-114)). Let v = -94 - p. Suppose 0*j - 20 = -j. Calculate the remainder when v is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6240 = -5*t. Does 52 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 5. Let n be (-10)\/(-6)*(2 - 5). Let m(c) = -5*c**2 + 4. Determine n*m(i) - 4*t(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1922)\/(-642) - (4 + 0 - 1). Let a be (24476\/(-5350))\/((-24)\/(-10)). Let s = a - m. What is the common denominator of 71\/10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y - 17*y - 42 + 44 + 25*y**2 + 13*y + 191*y**2.\nAnswer: 216*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053, 1197, 1591, 2361, 3633, 5533?\nAnswer: 8187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*v - 1224 = 25*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1126362999 to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 369*f**2 - 3234*f + 2167. What is s(-360)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 663653 - 523?\nAnswer: 663130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*w + 7518 = 1376*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*s**2 - 21503215*s + 14335470 = 0. What is s?\nAnswer: 2\/3, 1433547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3003 and 5049.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -26416200 to the nearest one hundred thousand.\nAnswer: -26400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1578935 - -14184169\/9. Let v = m - -2913. Which is bigger: -3 or v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -15*k**2. Let y(p) = -p - 99. Give m(y(w)).\nAnswer: -15*w**2 - 2970*w - 147015","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (56 - 104) + 57 + (-2 + 1 - 40)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -309*g + 307*g. What is the least common multiple of 15 and 3\/g*-1 + 448\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 11. Let w be (-38)\/5 + (-2)\/5. Let g = w + 15. Calculate z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116551\/5 + -23309. Let 0 - l*f - 3\/5*f**4 + 0*f**3 + 9\/5*f**2 = 0. Calculate f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 3*h**2\/2 - 51. Let k(g) = 0*g + g + g. Let u(t) = -5*k(t) + 3*m(t). What is u(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.4 - 4.6. What is the nearest to i in 4, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(14)\/sqrt(2) + sqrt(7) - (sqrt(448) + -2 + sqrt(448))**2 - (5 + -5 + 2*(sqrt(7) + -2))) + -1.\nAnswer: -1788 + 64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5708 - 5704. Put 642, i, 1 in ascending order.\nAnswer: 1, i, 642","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((4*sqrt(304) + sqrt(304))*1 + -4*-1*sqrt(475) + 3))**2.\nAnswer: 3840*sqrt(19) + 486544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 73 = 5*g + 2*b, -5*g - 5*b = -120. Suppose d + g = 5*a, 1 + 8 = a - 2*d. Let v(y) = y**3 - 6*y**2 + 5*y - 5. Give v(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/g**(3\/8)))\/(g\/((g\/(g**(11\/4)*g))\/g)))**(1\/3) assuming g is positive.\nAnswer: g**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 282521 to the power of 1\/2, to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 0, 5\/2, -3\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 11*j**2 + 18*j - 3. What is l(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2608, 2332, 1864, 1198, 328, -752?\nAnswer: -2048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b6 - 336c25?\nAnswer: -336b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (((-10)\/14)\/(6\/(-12)))\/((-189)\/(-26460)). Solve -3*f + u = 22*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**7\/1470 + 341*l**6\/840 + 9633*l**5\/140 - 9747*l**4\/56 + 7*l**2 + 77. Solve y(p) = 0 for p.\nAnswer: -171, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (4 - -1)) + (-222)\/(-2) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -310, -300, -314, -358, -438?\n\"Answer: -l**3 - 6*l**2 + 35*l - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhhhhzhhh. What is prob of sequence hhhh?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 3*b - b)*(0*b**4 + 8*b**4 + b**4).\nAnswer: 9*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a08 - -11?\nAnswer: -19f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h*h**(3\/4))\/h)\/h*h*h**(-1\/4))**(-4\/17))**(6\/17) assuming h is positive.\nAnswer: h**(-60\/289)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 8*i - i. Solve i = -4*o - 0 + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 34.09419 hours?\nAnswer: 122739.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84.7 in -1\/5, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 25 = 3*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.064022038 to three dps.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.071 or -0.2274835?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 13*a + 22*a - 841. Solve -a*t = -6*t + 92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(3\/((-408)\/(-2216)) - 16).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 7. Let b be i(6). Let n be (1 - 2)*(b - 2). Find the second derivative of -h - h**5 + 4*h**5 + n*h wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6202807862*n**3 - 6202807858*n**3 - 3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/684 and 80\/1197?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, w: 8}. What is prob of picking 3 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by ((-9)\/(-6))\/(2\/20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -32*x + 2. Determine w(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + 22764 + 36*z - 22764 + (2*z - 5*z + 5*z)*(-3*z + 0*z + 4*z) + 2*z - 2*z + z**2.\nAnswer: 2*z**2 + 36*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115 + -63. Let j be c\/14 - (-4)\/14. Let l(d) = d**3 - 5*d**2 - 2. Let f be l(5). Put -4, f, j in descending order.\nAnswer: j, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5 - 2*l**4 + 20*l**3 + 20*l**2 - 18*l - 18 = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Suppose 2*z + 12 - 2 = 0. Let o be (-18)\/(-15) - (-1)\/z. Let h(y) = -3 + 4 - o + 4*y**2. Calculate h(w(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 19*f - 5*i = 20, -5*i = -f + 26. Calculate the greatest common divisor of f and 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4\/5 - 3063*q**3\/5 - 1021221*q**2\/5 - 103672149*q\/5 + 501383076 = 0. Calculate q.\nAnswer: -347, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/5359632 and 26\/375?\nAnswer: 669954000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-85)\/(-15) + 6\/(-9). Suppose 12 = -4*c, z*r - 6*c + c - 730015 = 0. Suppose r = -2*h + 7*h. What is h rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.1 - 41. What is the third smallest value in -2, r, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6082781 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 373 - 282 = 3*d, -d - 2*s + 31 = 0. Let x be 10 - (3 + (-2 - 0)). What is the lowest common multiple of d and (-1 + (x - 1))*3?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 159. Suppose 7*x - i = 274. Let c = x + 102. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2*b**5\/5 - b**4\/2 + 2*b**3\/3 + b**2 - 2. Find g, given that a(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-15))\/(((-52)\/(-65))\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225839595 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*h = 135392, 0 = 315*t - 313*t - 3*h - 135387. What is t rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let t(b) = -3*b. Let f = 15 - 12. Suppose -r + l + 1 = 0, -f*r - 21 = -l + 6*l. Let i(q) = r*t(q) + 4*j(q). Let d(g) = g**2. Give d(i(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10520.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 166 - 1. Suppose -4*t - k - 183 = 0, -5*t - 228 = -3*k + 4*k. Let c be t\/(-4) - (-4)\/(-16). What is the greatest common divisor of c and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2212413\nAnswer: -4\/2212413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*c - 1899 = -2079 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 1 + 68*g**3 - 4*g - 4 - 42*g**3 + 5*g**2. Let d be q(-4). Let u = d + 146105\/93. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -208*f + 611*f + 160*f in the form u*f + x and give u.\nAnswer: 563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -38, -22, -2, 22?\n\"Answer: 2*r**2 + 10*r - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 5 + (sqrt(1008) + 1 + sqrt(1008))**2)*-1.\nAnswer: -4038 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**7\/210 - j**6\/75 - j**5\/20 + j**4\/10 + 189*j. Suppose w(v) = 0. Calculate v.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318784 is divided by 791?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + 11. What is the common denominator of j and -35\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -1 (c) 269 (d) 0.4 (e) 460\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 24 + 11 = 0. Let x(m) = -m**2 + 5*m - 3. Let b be x(4). Put q, b, 0 in ascending order.\nAnswer: 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -19, -74, -185, -370?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 497\/5*(-24395)\/34153\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 207081 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*p**4 + 59*p**3 + 22*p**2 + 3*p + 17 wrt p?\nAnswer: 528*p + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 y, and 1 i when four letters picked without replacement from kkhkrppkhiprihkyhk.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -385 - 737 - 852*n + 182 - 935 - 298 wrt n.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000051502246 rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*d - 195*d - 31680 = 0. List the prime factors of d.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 3672, 8315, 14878, 23397, 33908, 46447?\nAnswer: 61050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (3 - -2) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 1884 (b) -2\/5 (c) 5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y + 1. Let o(n) = -2*n. Let d(h) = 6*a(h) - 22*o(h). Suppose 3*k = -k - 24. Let j = k + 0. Give d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 10. Suppose -5 + 9 = i. Suppose -4*q + 12 = -5*l, 0 = -0*q + 2*q + i*l + 20. What is the remainder when 97 is divided by j(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x**4 + 25*x**5 - 3*x**3 + 0*x**5 + 18*x**2 - 12*x**5 - 10*x**5 = 0. Calculate x.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3916997 millennia in centuries?\nAnswer: 3.916997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3023?\nAnswer: 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 6851*s + 322010. Give y(-47).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 56, 45, 40, 47, 72?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**4*x + 22*r**4 + 3*r**2 + 2*x + 16 wrt r.\nAnswer: 16*r**3*x + 88*r**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 3*g - 20 = 0. Suppose -68 = 3*v - g*v. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + f**3 - 2*f**5)*(0 + 0 - 2 + 5 - 3 - 3 - 4 + 5 - 2 - 2 + 3 - 2 + (0 - 3 + 2)*(0 - 1 + 0) - 3 + 1 + 1 - 2 + 0 + 3).\nAnswer: 8*f**5 - 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 6 = -21. Let u = f - 5. Solve -5*k + u + 10 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.74583l in millilitres?\nAnswer: 13745.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/5)\/(74\/(-2590)) - -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - c**2 + c - 10. Let z(l) = l**3 + 53*l**2 - 873*l + 3105. Let v(t) = 2*w(t) - z(t). What is p in v(p) = 0?\nAnswer: 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 54*r**2 - 486*r - 724. Give o(62).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.189212 - 107463.810788. Let r = 107463.928073 + g. Let f = -0.072 - r. Round f to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/11268 and 121\/18.\nAnswer: 11268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235\/(-1128)*4\/10?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f + 3*f + 35728*f**2 - 35721*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -822, -2364, -3906, -5448, -6990?\nAnswer: -8532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let v = 41 + -41.5. Which is the closest to 1? (a) -3 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 2 + (52 - (-6 - -19))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t**2 + 5*t - 65. What is the remainder when j(14) is divided by 251?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -681, -3\/17, 4?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -1039, -2534, -4837, -8068?\nAnswer: -12347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 8. Let w be (-2)\/(1 - t\/(-9)). What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 15. What is the remainder when 19 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 79 - 74 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -362 - -797. Let n(u) = u**2 + 3*u + 2. Let v be n(-3). Suppose -d + v*d + 2*q - 89 = 0, -5*q + g = 5*d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1344)*-4 - 3*sqrt(3024))\/((sqrt(7) - sqrt(35)\/sqrt(5))*-3 + sqrt(1715)\/sqrt(5)))**2.\nAnswer: 13872\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*t**3 + 147*t**3 + 200*t**3.\nAnswer: 882*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 5)*(p - 2*p + 0*p) + 0*p - 3*p + 2*p + 19 + 6277*p - 71 - 6348*p to t + b*p and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1235 and 1560.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(561)\/(3*sqrt(11)))\/sqrt(3))**2 + -3 - (0 + (-1*(sqrt(153) + -4 + sqrt(153)))**2)) + 2.\nAnswer: -5644\/9 + 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 766\/(-48) + (479 - 463). Let b(t) be the third derivative of 0*t + 5\/24*t**4 - 5\/12*t**3 + 0 - z*t**5 - 34*t**2. Determine c, given that b(c) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 0*a + a)*(-3 - 2 - 2) - 3*a - 2*a + 3*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2530.9 millimeters?\nAnswer: 2.5309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264979*v**3 - 4*v**2 + 265018*v**3 - v + v.\nAnswer: 39*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {s: 10, c: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -810 divided by 6?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 505 = 8*s. List the prime factors of s.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 44*y**2 + 2*y - 4. Let k be p(2). Let h = -172 + k. Solve -6 = -0*s - h*s + 5*r, 4*s = 4*r + 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 335248 and 41906.\nAnswer: 335248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2195.2744 + 0.2744. Let t = -2194.80004 - y. Let u = -0.2 + t. What is u rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2124.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1936 - 1008. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let f(i) = 14*i**3 + 4*i**2 - 12*i + 3. Let c(y) = -6*d(y) + f(y). Let r be c(2). Let w = -88 + r. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let j(n) = -n**2 + 10*n - 3. Let z(g) = 2*a(g) - j(g). Calculate z(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 111*p + 43. Let y be q(-2). Let i = y - -754. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579*-0.65\nAnswer: -376.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-6) - (-5546)\/(-708).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3\/7 + 2080*r**2\/7 - 15002*r + 55272 = 0.\nAnswer: 4, 49, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -95*v + 26. Is a(-4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 4*z - 2*z)*(-378*z - 570*z - 148*z) + (0 + 0 - z)*(-4*z + 4*z + 2*z) - 2*z**2 + 6*z**2 - 3*z**2.\nAnswer: 2191*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 + 11*l**2 + 20*l**2 - 46*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.25 (b) -1.04 (c) -6 (d) 3\/128 (e) 5 (f) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21.225 + -22.225. Which is the closest to u? (a) -422 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43794.\nAnswer: 2, 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27300, -54633, -81958, -109269, -136560?\nAnswer: -163825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 3. Let f be u(5). Let g = f + 20. Suppose -d + 5*n = g, 2*d + 2*n - 19 - 17 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwqqwwxqwqqwwxwqvw. What is prob of sequence wqwv?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-1 - 15\/(-18)). Let o be ((-463)\/5556)\/(4\/(-6) + 1). What is the closest to o in -2\/11, i, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19236 divided by -10\nAnswer: -9618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 59322004 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 296 = 4*c + 268, 4*c - 3*h = 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/8)\/(x*x**(-1\/6))*(x**18*x)\/((x\/(x*x**(2\/21)*x)*x)\/x) assuming x is positive.\nAnswer: x**(3047\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44449 - 55019 = 870*h - 12468 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*w + 4, 4*h - 3 = -4*w + 1. Let q be (-1 + 10\/(-8))\/((-30)\/82). Let s = q + -32\/5. What is the closest to s in h, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 969507 is divided by 29379?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105400073?\nAnswer: 105400073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033 plus 115412.34034?\nAnswer: 115412.30734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g\/g**23*g))*g)\/((g\/(g\/(g*g**(-10)\/g*g)))\/g*g))\/((g\/(g**(-2\/23)\/g))\/g**(2\/37)) assuming g is positive.\nAnswer: g**(-10240\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11904595 divided by 265.\nAnswer: -44923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*w**2 - 197*w**2 - 31126*w + 31125*w - 584*w**2 in the form h*w**2 + z*w + p and give h.\nAnswer: -950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 50562\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8636 divided by 3?\nAnswer: 8636\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 8:22 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 923.2515 litres in millilitres?\nAnswer: 923251.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 4224?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 14314 = -2*v, 2*n = -n + 5*v - 14300. Round n to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*h + h, 2*s - 4 = h. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 4 = 2*q, 2*q - 15 + 9 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 20, -7, -56, -133?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. What is the highest common divisor of 8 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 14*v - 26. Let t be p(-16). Let d be 9\/t - (-3)\/10*-5. Solve d = 2*y - 0 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.058 - -23.942. Let k = m - 24. What is the second biggest value in k, 2\/7, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-140)\/(-21))\/((-2)\/(-6)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 + 729*s**2 + 8292*s + 22860.\nAnswer: -3*(s - 254)*(s + 5)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8395 bigger than -8395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 193 - 193. Solve -g = -0*y + y + 4, d = -5*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2044 - -121?\nAnswer: -1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -313*s**5\/20 + 383*s**2\/2 - 223*s. What is the first derivative of c(x) wrt x?\nAnswer: -939*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1728) - sqrt(1728))\/(sqrt(9)*1*2 + sqrt(9) - sqrt(9)) - -1*(sqrt(1200) + -2*sqrt(1200)))**2*-6.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 m when four letters picked without replacement from {m: 11, x: 5}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 14076 = -4*a + 11230, 3*a + 4*v = 18987. Suppose -3*c - 4421 = -3*p - 644, -a = -5*p - 5*c. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1512538077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - -1) + (-16 - -36) + (-1 - 27).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 62.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -143?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k - f - 9 = 0, 3*k = 5*f + 24. Suppose l = k*j - 10, 9*l - 13*l = -3*j + 13. Calculate the least common multiple of 157 and j.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18, 27, 50, 93, 162, 263, 402, 585?\n\"Answer: p**3 + p**2 - p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 63*v**2 + 339*v - 1. Calculate z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 36*o)*(2 - 2 - 2)*(0 + 0 - 1)*(-6 + 8 + 6)*(3*o + 0*o - o).\nAnswer: 1120*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 22. Let b be r(19). Solve 0 = -b*c + 8*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 62*j + 4091. Let z be s(102). Solve 3*o + 2 = 2*q, 2*o - 3*o + 3*q + z = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrke when four letters picked without replacement from {k: 2, e: 1, z: 4, a: 1, r: 2, y: 4}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814442.\nAnswer: 2, 407221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1389 (base 14) in base 11?\nAnswer: -265a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -5, 4 in descending order.\nAnswer: 4, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1378, 2753, 4126, 5497, 6866, 8233?\n\"Answer: -s**2 + 1378*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025276 is divided by 399.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 1\/2*b**2 - 4\/5*b**5 - 106*b + 0 + 1\/12*b**4 + 1\/6*b**3. What is n(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570839419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**2. Let y(s) be the third derivative of -80*s**2 + 7\/24*s**4 + 0*s + 0*s**3 + 0. What is v(y(o))?\nAnswer: -490*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.12 + -8.88. Let n = -9.2 - r. Is n <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*r**2*w**3 + 4*c*r**2 - 2*c*r*w - 64*c*w**3 + 2*c*w**2 + 43*w wrt w?\nAnswer: -12*c*r**2*w - 384*c*w + 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 735\/343*2436\/58.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4585 is divided by 1524.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*i = -7*p + 32, 3*i = 0. Let a(r) = -13*r - 4. Let u be a(p). Let h = -49 - u. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n + 1. Let m(f) = 2*f**2 - 10*f - 3. Let t(j) = -4*j**2 + 21*j + 7. Let y(d) = -7*m(d) - 3*t(d). Let v be y(4). Give x(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -20*z - 18. Let w(j) = -j - 1. Let x(a) = -m(a) + 6*w(a). Let p be x(6). Suppose -p = -t - t. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207906637 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2403\/(-445) - (-4 - -1))*(2\/(-8))\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230290*r**2 - 460589*r**2 + 230293*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**(-2\/5)*(h\/(h\/(h\/(h\/h**6))))\/(h**(-1\/2)\/h)*((h\/(h\/(h\/(h*h*h**(-1\/5)))))\/h**(-1))**44 assuming h is positive.\nAnswer: h**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -48*o**2 + 1182*o + 7. Let q(y) = 7*y**2 + 2*y - 1. What is -14*q(m) - 2*u(m)?\nAnswer: -2*m**2 - 2392*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(((-4 - 0) + 53)*3). Let t = h + -1\/49. Let s = 4\/69 + 34\/207. Which is smaller: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.623 - -5.123. Let x = m + -4.9. Let u = 4 - 8. What is the nearest to -0.1 in -6\/13, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2979.5 - -2979. What is the smallest value in n, 0, -3.5, -5, -1.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 1505 + 1. List the prime factors of m.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111004700 - 41?\nAnswer: 111004637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + m. Let j(i) = -2*i**3 - 5*i**2 + 5*i + 39. Let u(c) = j(c) - 5*s(c). What is the derivative of u(k) wrt k?\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -6. Let j = 3\/8 - -11\/24. Let z = 0.2 + -0.1. What is the third smallest value in z, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 7*d**2 - 5*d - 1. Let h be c(-4). Let q = h - -32. Solve 4*g = q*m + 19, 5*m + 38 = 2*g + 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-4) + 11 + -3. Let y(x) = -11*x - 10 - r*x + 3*x - 11*x. List the prime factors of y(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 874.144 to the nearest ten.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.66603189 - -5.666. Round j to six dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 0.4, -18.3829, -3\/5 in ascending order.\nAnswer: -21, -18.3829, -3\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4328 + -4329. What is the nearest to -0.1 in 0, z, -0.5, -2\/195?\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 148036 and 1176?\nAnswer: 6217512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/2*(-3512)\/2634?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 197184 and 24.\nAnswer: 197184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 1) + 3\/(-1 - 2). Solve -10 = -2*p, 2*p + 0*p - 10 = -z*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*u - 24, -l + 3*u = -2*u - 12. Suppose 17*v = l*v + 25. Suppose 3*z + 0*z = 5*n + 251, -5*n = -v*z + 405. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(2\/4))\/(((-72590)\/2040)\/427).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185480\/1463 - 2396\/19. Is 0 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.24, 3394, -6.4?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 8) in base 3?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-5)*(5 - -210). Is 15566\/r + (5\/(-3) - -2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33 and 2035.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 3:02 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1778\/26670*10*-12)\/(1 + (-50)\/54).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 7*t**2 + 7*t + 6. Let i = -2 - -6. Suppose -i*m = m - 105. Let r = 15 - m. Determine n(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from nlbbngnbbblbbnbn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4434*r - 35477. Determine s(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31445865*t**2 - 31445865*t**2 + 37*t**3.\nAnswer: 37*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 804*k - 97. What is the hundreds digit of u(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*m + 5*m. Which is smaller: 10 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233107569?\nAnswer: 3, 31, 835511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23734 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: Which is the nearest to 94? (a) -0.5 (b) 0.05 (c) -109\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**2\/2 - 7*u + 1. Let i be s(4). Sort 3, 1, i.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (-5 + ((0 + sqrt(1088))*2 - sqrt(1088)) + 5*sqrt(1088)*1)**2)*-6.\nAnswer: -235200 + 2880*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1340*l**2 - l**3 + 10422*l**5 + l**3 - 11564*l**5 wrt l?\nAnswer: -68520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/4? (a) -3 (b) -4\/5 (c) -1\/2 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 5*m - 2. What is v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 11 + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**2 - 9*p - 9. Let w(a) = 3*a**2 + 5*a + 5. Let k(h) = 5*v(h) + 9*w(h). Let r(y) = -5*y. Give k(r(i)).\nAnswer: -75*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(7\/6)\/(h*h\/(h**0\/h)*h*h))**(2\/73)*h*h**(-5)*h*h*h**(-8)*h*h*(h**(1\/2)\/h)**37 assuming h is positive.\nAnswer: h**(-11653\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 5, t: 7}. Give prob of sequence ptp.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**2\/5 - 2913*q - 14562\/5 = 0.\nAnswer: -4854, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 3 (c) 0.1 (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 7*w**3 - 6*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2)*28\/3. Suppose -5*a + 11 = -q. Let p(j) = -3*j + 1. Let c be p(-3). Calculate the highest common factor of a and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/5)*u**(-6)*u*u**(-1\/5)*u**(5\/4)*((u*u**9)\/(u*u**(3\/2)))\/(((u*u*u*u**(1\/6)*u)\/u)\/(u**(-2)\/u)) assuming u is positive.\nAnswer: u**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 6 (b) 1\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 6*k**2 - 2*k - 4. Calculate b(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - z + 6*z + 1943 - 1876, 0 = -167*m + 3*z + 3826 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107\/545 + -2\/545. What is the second smallest value in -2\/9, l, 5.8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 449 + f + 449.\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/11 + 475\/11. Let h = g + -31. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/17 + -86\/221. Let f = -649\/17 - -3313\/85. Put b, f, -13\/5 in descending order.\nAnswer: f, b, -13\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 214109 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, h: 5, i: 2}. Give prob of sequence xhi.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 249179040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 4*h**4\/3 - 6*h**3 + 4*h**2 + 12*h. Suppose i(j) = 0. What is j?\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.1339 and 0.03974.\nAnswer: 0.680901186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -20. What is the greatest common divisor of 64 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 * 271\nAnswer: 3794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1880\/(-8460))\/(((-33)\/9)\/(-1))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*a + 3. Suppose -a*p + 5*p = -504. Is p\/(-9) + 2\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174.6 - 175. Let z = -0.4 - -0.2. Let w = -7 - -4. Which is the nearest to 2\/5? (a) x (b) w (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12 and 73\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/w*w\/(w*w\/w**4)*w**(-2\/7)\/(w\/w**(-5)) assuming w is positive.\nAnswer: w**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 222148620653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/12? (a) 6\/7 (b) -163 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156, 170, 182, 192, 200?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -25. Let s(f) = -63*f - 173. Calculate the lowest common multiple of s(-3) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*a**3*o**2 + 7*a**3*o + 7265*o**2 wrt a?\nAnswer: -303*a**2*o**2 + 21*a**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70\/13*i - 12\/13 - 22\/13*i**2.\nAnswer: -2*(i + 3)*(11*i + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3510*g**3\/11 - 3514*g**2\/11 - 4*g\/11 = 0. What is g?\nAnswer: -1, -2\/1755, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-2)\/(-72))\/((-1)\/(-30)*330\/495).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 - 41. Let m(s) = 3*s + 0 + 3*s + 7. Let o(d) = 5*d + 6. What is p*o(h) + 6*m(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 118.8 - 214.8. Which is the biggest value? (a) w (b) 2\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 245483?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - -7 - (-1 - (-1 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/5 - -3\/20. Let z(j) = j**2 + 5*j - 5. Let s be z(-6). Let p be s\/3 + 15\/(-99). Which is the nearest to h? (a) p (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from phhjhhj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169*s**4 + 170*s**4 - 341*s**4)*(2*s - 5*s + s).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-8)*-65*(-63)\/9*196\/(-1715).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-138)\/(-161)*742\/6519.\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 8156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*t + 2976 - 3113 + 4033 + 2578 = 0 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 171 - -1259?\nAnswer: 141a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1615801, 3231601, 4847401?\n\"Answer: 1615800*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132.9919 - -133. Round b to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 12. Let w(m) = -4*m - 11. Let i be w(c). Calculate the greatest common divisor of i and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 11. Let r be x(3). Let v(l) = 3*l - 9. Let g be v(r). Solve -5*f = g - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -50*c**2 - 703*c + 4. Let i(p) = -7*p. Give b(i(q)).\nAnswer: -2450*q**2 + 4921*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/(-275) + 13\/((-260)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0 - 1\/8*d**4 + 0*d + d**2 - 2\/3*d**3. Differentiate u(g) wrt g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 2\/7, 1\/293, 2\/13 in decreasing order.\nAnswer: 2\/7, 2\/13, 1\/293, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6 + 6. Let x = 6 + m. Suppose -4*k + 374 = 350. Solve -4*v = -x*v + k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - -5) + (-36 - -43).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 15075624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/55))**(-9)\/(x**(-5)*x\/x**(4\/21)) assuming x is positive.\nAnswer: x**(5218\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15028 and 191074?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -2*s - 1 + 2, -4*n = s + 7. Calculate the greatest common divisor of s and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47)\/(-9) - 4\/18. Suppose -h - 5 = -4*u - 25, 5*h + y*u + 25 = 0. Let t = 14 + h. What is the remainder when 39 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11871 = -325*d + 1796 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178000 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 920*h**5 - 2*h + 2063*h**2 + 0*h**3 + h**3 - 462*h**5 - 541 - 2*h**3 - 456*h**5 wrt h?\nAnswer: 40*h**3 - 6*h + 4126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -33, 5, -1, 1, 510.\nAnswer: -33, -4, -1, 1, 4, 5, 510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 2*o + 2. Let g(k) = -k**2 + k + 1. Let w(y) = -2*g(y) + t(y). Let r(v) = -18*v**2. Calculate r(w(d)).\nAnswer: -18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2 - 4644192*r - 27865044 = 0 for r.\nAnswer: -1548058, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.033812 and 1.85?\nAnswer: 0.0625522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (329 + 2*g**2 - 329)*(-3*g**2 - 2*g**2 + 0*g**2).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/3*38\/(-380).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66701402 divided by -2?\nAnswer: -33350701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6\/5 and 10\/1543009?\nAnswer: 7715045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*j = 0, 3*y = -y - j - 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 + -177 + (4 - (-3 + (-3 - 1)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdj when three letters picked without replacement from {v: 7, d: 5, j: 8}.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*p**5\/5 - 6*p**4 - 136*p**3\/15 - 32*p**2\/15 + 64*p\/15 + 32\/15 = 0. What is p?\nAnswer: -2, -1, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6381.38 + 1.6?\nAnswer: 6382.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1350 + 1351.86. What is the biggest value in r, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*t - 184 + 100 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46852093, -46852095, -46852097?\nAnswer: -46852099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1388794\/177345 + 360\/3941. Let c = -8\/315 - q. Calculate the common denominator of 43\/7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195437.78 to the nearest 1000.\nAnswer: -195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58302, -116604, -174906, -233208, -291510?\nAnswer: -349812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 8955\nAnswer: -2686.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -887.701?\nAnswer: 890.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 196, 297, 398, 499?\n\"Answer: 101*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t + t - 2*t**2 + 8*t. Let v(n) = 0*n + 2*n - 4*n. Let h(z) = -z. Let y(r) = -7*h(r) + 2*v(r). Calculate y(s(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -62. Let j(v) = -v**3 - v**2 - 3*v - 3. Give j(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368822 is divided by 1737?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11581*z + 4822.\nAnswer: 11581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 876400 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*x = 465, 0*p + 420 = 4*p + 4*x. Let k = p - 108. Find the common denominator of -8\/5 and (-68)\/84*k*-3.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -1. Let i be 0 + z - (3 - 4). Let q be 1 + (3 - (-16)\/i). Solve 3*x + q*x + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1371 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 25. Suppose -m + s = -3*b, -118 = -5*m - b - 7. Does 3 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkkkkkkklkkkk. Give prob of sequence lk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.38 times 8\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h. Suppose h = -5*c + 40 + 20. Let q = c + 73. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*j**3 - 51*j**3 + 97*j**3 - 10*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.3424875 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1661*v - 25*v**3 + 386*v - 2047*v.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 34 + 10 = 5*d, -4 = 2*d + 4*f. What is the tens digit of (712\/4 - d)*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 + 6411*k + 6414.\nAnswer: -3*(k - 2138)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263, 1049, 2355, 4175, 6503, 9333, 12659, 16475?\nAnswer: 20775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 16.1. Let s = 0.32 - 21.32. Let h = s - v. Sort 0.3, h, 1 in decreasing order.\nAnswer: 1, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -1 - 1. Suppose 2 = -5*h + 7. Let f be h\/(b + -1 + 4). Which is smaller: f or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (62 - 250 + 16)*(2 - 2 + 2*s - 3*s - s + 5*s + (-2*s + 6*s - 2*s)*(3 - 3 + 1) + s + 4 - 4 - 2 + 3*s + 2).\nAnswer: -1548*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + 2. Let t = k + -3.7. Suppose 3*v - 11 + 2 = 0. Sort 0.2, v, t.\nAnswer: t, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.258 rounded to 0 decimal places?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/4)\/(m\/(m\/((((m*m**13*m)\/m*m)\/m)\/m)))*m**12\/m*m**(-18)\/m assuming m is positive.\nAnswer: m**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -9. What is the smallest common multiple of (8\/(-3) + 0)*-3 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281535.\nAnswer: 5, 199, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -118*y**5\/5 - 20*y - 6. Find the first derivative of d(o) wrt o.\nAnswer: -472*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - -1 - (33 + 16 + -42).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 183*a - 1501 - 2525 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39 - 36. Let t(l) be the second derivative of l**2 + 0*l**k + 0*l**4 - 2*l + 0 - 1\/10*l**5. What is the first derivative of t(g) wrt g?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 1:01 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 180548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 less than -3691.02?\nAnswer: -3383.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + (-3*(5*sqrt(68)*4 + sqrt(68)))\/(-6*sqrt(144)*-4)).\nAnswer: -10 - 35*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30182748?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/2827 and ((-3402)\/(-12336))\/3*9\/(-21).\nAnswer: 22616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27497 is divided by 100?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 940874121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -9, -0.1, 3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9192*i = -124071 + 595858 + 150046 - 5969 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -110?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c19 + 1?\nAnswer: -7c18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:11 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070144 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let k = i - -14. Solve 3*t = -y + 8 + k, -2*y - 4*t + 30 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6)\/(4\/(-6)). Let n(f) = -8 + 11*f - t*f - 4 + 1. Is n(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*p - 75, -p + 3*y = 3*p - 63. Suppose 10*f - 13*f = -p. What is the smallest common multiple of 8 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.026 and 0.15.\nAnswer: 7.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -25*d**2 - 372*d - 3906. Let m(l) = -l**3 + 20*l**2 + 372*l + 3907. Let b(i) = -5*m(i) - 4*z(i). What is the first derivative of b(s) wrt s?\nAnswer: 15*s**2 - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6315833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-28))\/(((-529)\/(-322))\/23). Solve -z - 3*s = j, 0 = -2*z - s - 4*s - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 5\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79964 is divided by 111?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d - 4*d**2 + 24*d + 21*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1006036 and 12.9.\nAnswer: 12977864.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 127020903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13 + -9)*1\/(-2). Let a(m) be the second derivative of m**5\/20 - 5*m**4\/6 - m**3 - 2*m**2 - m. Let t be a(y). Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -4, 3, 92 in ascending order.\nAnswer: -11, -4, -1, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.3 (c) 1\/12 (d) 2\/61 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3467*r + 5607 = -70667 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 5:35 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.2, 0.2, 3.3, -1\/37?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 4*p - 7. Suppose -3*s = -3*x + 24, -1 = -s + 5*x - 9. Let m = s + 2. Give q(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a (base 14) in base 16?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 5*k**2 - 9*k + 4. Suppose -5*z = -3*o - 0*z + 46, z = -2*o + 9. Calculate the remainder when u(o) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4602 is divided by 1531?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m - 41. Let u(n) = -4*n**2 + 7*n + 73. Let y be u(-4). Give j(y).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -4404?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -207463\nAnswer: 622389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00875329946 to 4 decimal places.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9889 divided by -1820.\nAnswer: 9889\/1820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1733023?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 196799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2003649 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 6 - 16. Let j(f) = -197*f**2 - 4*f + 5. Let w be j(r). What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q - 1. Let j(c) = -10*c. Let p(z) = -3*j(z) + 2*x(z). What is the remainder when 119 is divided by p(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**3 - 276*a**2 + a - 38. Calculate c(46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.165 + -0.035. Let u = 2.05 - 0.05. What is the closest to 0.1 in 3, u, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-2 + 16) - (-1 + -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -401000 rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 143.286 + -137.2. Let f = -0.086 + s. What is the closest to -0.1 in 0.3, 1\/4, f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 9:13 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 5, r: 4, a: 4, q: 2}. What is prob of sequence qawf?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8\/61, 0.3, 13?\nAnswer: -8\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of 3*x**2 - x**2 + 0*x**2 - 4. Let d(i) = -2*i. Calculate d(o(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 - 771*d - 770 = 0 for d.\nAnswer: -770, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-116)\/(-10) + 13\/(130\/4). Solve -k - v = -3*o - o, 5*o = 10 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.02 - 41.98. Let p = -40 - g. What is the closest to 13\/3 in 0.3, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -37. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 390 + -777\/2. Which is the closest to 2\/7? (a) w (b) -2\/11 (c) 0.4 (d) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22897, 24751, 26607, 28465, 30325, 32187, 34051?\n\"Answer: r**2 + 1851*r + 21045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-5 + sqrt(35)\/sqrt(5))**2 - (sqrt(7)*-2 + -5)) + (sqrt(448)*-3)\/(-1*sqrt(400)).\nAnswer: -34*sqrt(7)\/5 + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -214*p**2*x + 11286*p**2 + 4*p*x + 72*p - 34*x wrt x?\nAnswer: -214*p**2 + 4*p - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 287198612 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 929703423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:38 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100303974 and 45.\nAnswer: 501519870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, v: 1, l: 1, t: 1, p: 3, o: 5}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27 divided by -27\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 5*x = -42*g + 30, -8*g - 2*x - 9 - 3 = -0*x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 1\/6 (c) -2\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2662605 = 102*i - 34*i + 95*i. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 12*y = 5*y + 2*s + 8, 1405 - 1398 = y + 2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j - n + 4 = 16*j, 4*j + 3*n = -2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 14*d**2 + 3*d - 6. Let w(f) = f**3 - 15*f**2 - 4*f + 7. Suppose -10*r - 14*r = -66 - 102. Determine r*z(k) + 6*w(k).\nAnswer: -k**3 + 8*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.80616728 rounded to three dps?\nAnswer: -13.806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.29 and 0.7.\nAnswer: -20.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 12:55 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*c**2*o*p + 4*c**2*o + 7*c**2*p - 25*c*o - 2*o*p wrt p.\nAnswer: -3*c**2*o + 7*c**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-24)*4\/6. Let s = 25 + -30. Let w = s - -1. Which is the closest to w? (a) l (b) 4\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 59, 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -483.954 to zero dps.\nAnswer: -484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 w when two letters picked without replacement from {e: 3, y: 1, q: 3, w: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135924 is divided by 2892.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.4 * -20.\nAnswer: -208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2109520 and 1095360.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10633*x**2 - 35450*x wrt x.\nAnswer: -21266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -622*b**2 + 4429*b + 19547328.\nAnswer: -1244*b + 4429","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 653112 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: Suppose 3*k - 21 = 5*j, 5*j + 25 = -0*j + 5*k. Let t be ((-56)\/12)\/((-2)\/j). Let q = t - -9. Solve -2*w = -3*w + q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6916838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 68. Let n = l + -14. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 297 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10*m + 10. Let u = -780 - -785. Calculate j(u).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2474?\nAnswer: 2, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 12. Let t be (2\/u)\/((-1)\/(-6)). Find the second derivative of -2*j + 3*j**t - j - j wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 + 5*z**3 - 29*z - 14*z**3 + 7*z**3.\nAnswer: -2*z**3 + 4*z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*w + 32 - 9, 17 = -w + 4*d. Put -9, w, 10, 0 in increasing order.\nAnswer: -9, w, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243915125*a**2*n + 599*a*n + 34*a - 14*n - 46 wrt a?\nAnswer: -487830250*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2631, 2475, 2343, 2247, 2199, 2211, 2295, 2463?\nAnswer: 2727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.4 + 3. Let o = 0.5 - l. Sort -4, 1\/4, o.\nAnswer: -4, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003548293 to 6 decimal places.\nAnswer: 0.003548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -133 + 169. Calculate the greatest common factor of c and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3 + 2 = 0. Let f(p) = 1 - b - 45*p + 42*p. Let y be (-1788)\/84 + (-2)\/(-7). Let m(v) = -15*v. Give y*f(w) + 4*m(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 76 = 4*j, 5*s + 0*j = j + 401. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15843 times -0.2?\nAnswer: 0.031686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.5754778 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 8. Let n be z(0). Suppose -5*c - n = -7*c. What is the second derivative of -4*x + 5*x**c - 2*x + 3*x**4 wrt x?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113 + -111. Suppose 5*w = -h*u + 396, -w + 778 = 4*u + 2*w. What are the prime factors of u?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -223 + 410. Calculate the highest common divisor of r and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 12:21 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {v: 2, q: 8, a: 4, z: 3}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0)\/((-285)\/(-570)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476434, -5, -1 in ascending order.\nAnswer: -476434, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 342*q - 8. Let a(b) = 2051*b - 49. Let d(h) = 6*a(h) - 35*k(h). List the prime factors of d(2).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 114.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -184 - -114. Let z = -74 - b. What is z rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 j when two letters picked without replacement from {q: 5, e: 1, l: 2, j: 7, i: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279*l*t - 2*l - 44*t**2 + 314 wrt t.\nAnswer: 279*l - 88*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 550242 (base 6) to base 10\nAnswer: 45458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (1 + 36\/(-1)). What is the highest common divisor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h. Suppose -q - q = h. Let c(k) = -2 + q + k - 3. Determine c(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*h**3 - 347632*h**2 - 20142841 wrt h?\nAnswer: 48*h**2 - 695264*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.049 + 5.351. Let x = b - 12.4. What is the closest to 2\/9 in 3\/2, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j\/(((j**0\/j)\/j)\/j)*j))))**(-23)\/(j\/((j\/((j\/(j\/(j**(-1\/2)*j)*j))\/j)*j)\/j))**22 assuming j is positive.\nAnswer: j**148","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 494599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x - 3*x)*(-8 + 0 - 114*x**4 + 8).\nAnswer: 228*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcdcccc. Give prob of sequence cc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -94.13 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 225559198 and 18?\nAnswer: 2030032782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16281553*u**2 - 52*u + 415424 wrt u.\nAnswer: -32563106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 138. Let d = 204 - l. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 80 = 25. Let k(h) = 2 - c - 4*h - 2 - 2. Let o(s) = -s + 1. Determine k(m) - 3*o(m).\nAnswer: -m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 30. Let g be (-2 - (-21)\/(-3)*-3)\/((-16)\/16). Give o(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 953 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.2 (c) -6.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-24)\/(-16))\/((-2)\/4). Let t(f) = -2*f + 4. Determine t(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4 + 9*k**2 + 74537*k**3 - 74538*k**3 - 17*k**2 + 12*k. Calculate r(-10).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 20482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 568 and 1192?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8214008ml in litres?\nAnswer: 0.0008214008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(704)*-1)**2*-4 - sqrt(704)) + sqrt(704) - ((1*sqrt(704)*2)**2 - sqrt(704)))*-6.\nAnswer: -48*sqrt(11) + 33792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6899150131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21472 by 6.\nAnswer: 10736\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58888 divided by -31?\nAnswer: -58888\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234118801 - 13.\nAnswer: 234118788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10391628 divided by -78?\nAnswer: -133226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:30 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 3) to base 11.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w - 2*w**2 - 5*w - 9*w - 4 + w**2. Let v(h) = h**2 + 6*h - 3. Let m be v(-5). What is the units digit of o(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*(sqrt(832) + -1) + (0 + sqrt(832)*2)**2 + -3*(sqrt(832)*2*5)**2.\nAnswer: -246278 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 7*n + 13. Let k be t(-9). Let a(s) = -3*s - 5. Determine a(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 195 = 215 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v + 10 = 30*v - 2*x - 16, -2*x = 3*v + 31 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**4 - 20*a**4 - 9*a**4 - a**4 - 5*a**4 + 4*a**4 + (-3*a**3 + a**3 + a**3)*(2*a + 2 - 2).\nAnswer: -42*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:27 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 210 and 140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 13*u**2 - u - 2. Let j = 18 - 11. Let t(s) = -s + 12. Calculate the lowest common multiple of t(j) and o(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 22*q**2 - 17*q - 16. Determine a(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 163736 + -163736. Let x = 11 + -8. Solve -x*j + 1 - 7 = y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1934 - -1937. Solve 0 = -g*c + 2*h + 8, 5*c + 7*h - 12 = 11*h for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461642.\nAnswer: 2, 71, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -734*i**3 - 947*i**3 + 1367*i**3.\nAnswer: -314*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474166?\nAnswer: 2, 737083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7610 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5849302?\nAnswer: 2, 19, 153929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 w when four letters picked without replacement from {w: 3, f: 8}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 50*r**2 - 276*r - 432 = 0.\nAnswer: -18, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2647, -5329, -8109, -11035, -14155, -17517, -21169?\nAnswer: -25159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 4 - 7 + 3.\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v - 16. Let a(f) = f**2 + 6*f - 7. Let x be a(-7). Let r be j(x). What is the common denominator of 17\/22 and ((-3)\/r)\/((-6)\/(-92))?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99710974 divided by -4294?\nAnswer: -23221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a micrometer in nanometers?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70923498?\nAnswer: 2, 3, 3187, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9303716 and 6\/1111.\nAnswer: 102340876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 191*v**4 - 5*v**2 + 10*v + 182. Let o(w) = -96*w**4 + 3*w**2 - 6*w - 91. Let d(x) = -3*a(x) - 5*o(x). Find the first derivative of d(r) wrt r.\nAnswer: -372*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 783.9416l to millilitres.\nAnswer: 783941.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 + 310454*l\/13 + 931380\/13.\nAnswer: -2*(l - 155230)*(l + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3906 = -8*g + 4026. Suppose -2 + 4 = x. Calculate the least common multiple of x and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120679764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 15. Put -2, b, -0.08 in increasing order.\nAnswer: -2, -0.08, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010100101110 + -100?\nAnswer: -100010100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16*3463213\nAnswer: -55411408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 15 - 3. Suppose -2*q + s = -5*q, -2*f = 4*q + 8. Determine w, given that 2*w + f*w**2 - 3*w**2 - 3*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*m - 7*m + 7*m - 2*m + 0 + 0 + 0 + 0 - m - 3 + 2*m + 3 + (2*m + m - m)*(0 + 1 + 0) - 2*m + 4*m + m as t + h*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d - 17. Let f(q) be the first derivative of -q**3\/3 - 2*q**2 - 3*q + 3. Let c be f(-4). Let l be y(c). Solve 3*k - 4 + l = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -8*w + 8. Solve 4*v - w*m + 15 = -3*m, 4*m = -3*v - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 557 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 56 = 0. Let p = -12 - v. Suppose -18 = -l - 2*i - 3, p*i - 84 = -4*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**7)**(-22) assuming c is positive.\nAnswer: c**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 38517392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 7*y**4\/24 - y**3\/3 + 118*y**2 + 103*y. Let a(s) be the first derivative of d(s). Suppose h + 1 = 3. Give a(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 9, 5, -4, 2.65?\nAnswer: 2.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 4:40 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22094?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47305138\/15 + 3155315. Let v = -1638 + o. Let z = -123635\/11912 - -6\/1489. Calculate the common denominator of z and v.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518273 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12100*i**3 - 2927760*i**2 + 106476*i - 968.\nAnswer: -4*(i + 242)*(55*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/9 and -4 + (-18)\/(-4) - (-177)\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10*d - 2*d + 2*d - d**2 + 2 + 2*d.\nAnswer: -d**2 - 8*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 67, 92, 117, 142, 167, 192?\n\"Answer: 25*p + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27833034 and 34137.\nAnswer: 83499102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 15) in base 12?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 11*l**2 - 9*l + 9. Let s(f) = -4*f**3 - 33*f**2 + 26*f - 26. Let q(i) = 7*o(i) + 2*s(i). Calculate q(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9\/4*j**2 - 27\/4*j**5 - 81\/4*j**4 + 3\/2*j - 51\/4*j**3 + 0 = 0.\nAnswer: -2, -1, -1\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 1237, 2768, 4907, 7654, 11009, 14972?\nAnswer: 19543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*(-91)\/(-35) + (-9)\/3 and -6 - (3 - 6) - (-181)\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*d - 9, 0*d + d + 12 = -4*k. Suppose d = i + 4*i - 340. Let w = i + -27. Is 21 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072169.\nAnswer: 7, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-10)*(-15)\/(-6). Suppose d = 2*d - m. Let w(k) = k**2 - 3*k**d + k**2. Let n(p) = p**2. What is n(w(j))?\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4963537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.241 and 1?\nAnswer: 0.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -21485814?\nAnswer: 1\/21485814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 8*p**2 - 23)*(2*p**3 - 2*p + 2*p - 2*p**3 - 2*p**3 + 3*p**3 + p**3 - 4*p**3 + 2*p**3 + (5*p**2 - 4*p**2 + p**2)*(-1 + 2*p + 1)).\nAnswer: 32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -10. Let r(h) be the first derivative of -2*h**2 + 6*h + 285. Give r(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18643, -37283, -55923, -74563?\n\"Answer: -18640*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 247 = -14*x - 0*x. What is the remainder when (-1 - -7)*(-342)\/(-27) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -64*a**4\/9 + 14156*a**3\/9 + 1806788*a**2\/9 + 395160*a = 0.\nAnswer: -89, -2, 0, 4995\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 plus 1468.2016?\nAnswer: 1418.2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/6 - ((-40223)\/3 + 832\/104). Calculate the highest common divisor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16782\/20227 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24554*m**2 - 10868*m**2 + 13833*m**2.\nAnswer: 27519*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + -3 + -3*sqrt(432) + -2)*2)**2.\nAnswer: 576*sqrt(3) + 15568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.02936916 to 3 dps.\nAnswer: 1.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2905444551?\nAnswer: 3, 17, 1999, 28499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 9:02 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7079.289 grams in milligrams?\nAnswer: 7079289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/72 and -49\/2844?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*h - 3 + 2*h**2 - 58*h + 3.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*l + 7*l - 28*l + 5 to y + n*l and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 193092905?\nAnswer: 193092905.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 153 + -143. Suppose 0 = m + 3*w - 2, -2*w + 38 = -3*m + 7*m. Calculate the remainder when (-21)\/(-105) + 318\/h is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1 + v**2 - 6 + 4. Give i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 4. Let c be l(1). Let q(u) be the third derivative of c + 0*u - 1\/120*u**6 + 1\/24*u**4 + 1\/15*u**5 + 2*u**2 - 1\/6*u**3. What is q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 626834633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhllhhhlhhhhhhlhhh. Give prob of picking 3 h.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1088) + -4 - sqrt(1088))*-6)**2 + -2.\nAnswer: -2304*sqrt(17) + 39742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (1 - 2)) + 101 + -111?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14881*b - 1332 = 14907*b - 29862*b for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(891) + 2 + 3*sqrt(55)\/sqrt(5) - ((sqrt(110)*1 + sqrt(110))\/sqrt(10) - (sqrt(11) + 2 + -2)))**2.\nAnswer: -6675 - 220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24122\/12061*6\/92?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.41941 milligrams to tonnes.\nAnswer: 0.00000001841941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 121 + 264. Let u = 827\/78 - 4\/39. Calculate the common denominator of 14\/f - 2614\/220 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03164 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 30*l**2 + 1 + 2*l**4 - 30*l**2 + l**3 + 3*l in the form u*l**2 + q*l**3 + b*l**4 + w + s*l and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 182919*w**2 + 1097595*w - 1646433.\nAnswer: -3*(w - 3)**2*(w + 60979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*((-42)\/(-4) - -2). Suppose 0 = -4*v - 1 + q. Suppose 2*n = -n + v. Solve n*p = p + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 9. Find the common denominator of 2\/(-330) + f\/10 and 65\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let j(v) = -53*v**2 - 19431. Give j(l(b)).\nAnswer: -53*b**4 - 19431","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2503, 4041, 5579?\nAnswer: 7117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 26.9301+13\nAnswer: 39.9301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -23 + 28 - 4*c + 3*c. Let z = 19 + -13. Let m = z - 1. What is p(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6480 by -18.\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -6029905.\nAnswer: 30149525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*g**4 - 19981 + 19913 - 7*g**2 + 16*g**4)*(0 + 2 + 0).\nAnswer: 6*g**4 - 14*g**2 - 136","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) 1.441 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1023 is divided by 1015.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -89, 0.085, -0.4 in descending order.\nAnswer: 2, 0.085, -0.4, -0.5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.2259347 centuries?\nAnswer: 2.259347","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-1 + (2 - -2))) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-30)\/4)*145. Let n(i) = -i. Let l be n(-34). Let f = x - l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315\/(-10)*(-30)\/(-675)*15.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 10*n**2 + 5. Let m be c(10). Suppose 0 = -4*a - 4*o - 0*o + 348, 437 = m*a + 3*o. Calculate the greatest common factor of 22 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 87.86831 and -2868.6742?\nAnswer: 2956.54251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 28722 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -31*r**2. Let v(y) = 9*y**2. Give t(v(i)).\nAnswer: -2511*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 38252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 9*x**2 + x. Let g(v) = 625120*v. Give p(g(y)).\nAnswer: 3516975129600*y**2 + 625120*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4756104497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.066998 rounded to 3 dps?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -19*z - 21. Let y be t(-1). Is 22 a factor of -88*(y\/19 + (-1304)\/608)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + -271?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -351 - -735. Suppose -3*u = -5*k + g, 0 = u - 5*u - 12. What is the highest common divisor of k and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*n - 9. Let d(c) = -c + 9. Let o be d(n). Let l = -5 - -9. Put l, -3, o in ascending order.\nAnswer: -3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 2, 6 in decreasing order.\nAnswer: 153, 6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/42 + 2*c**3\/7 + 8*c**2\/7 + 44*c. Factor a(w).\nAnswer: 2*(w + 2)*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 434 = 250. Calculate the least common multiple of t and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2464990 by -6.\nAnswer: -1232495\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -30. Let g be 1\/((-25)\/(-2))*-10*-5. Suppose i = -2*m + 7*m - 88, -4*m = -g*i - 80. What is the lowest common multiple of f and m?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 12*n**2 - 7*n + 222. What is g(13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7\/2 + 53\/14. Which is the third biggest value? (a) 6 (b) 1 (c) -0.3 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 - 7*a + 9. Let y be 6\/((-3)\/3)*-1. Let f be r(y). Suppose c = f*c - 16. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 458, 3470, 8486, 15506, 24530?\n\"Answer: 1002*u**2 + 6*u - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1425445 and 33082?\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24471641 (base 8) in base 7?\nAnswer: 63633541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 18 = -132. Let q = -948 - -953. Suppose 0*h + 20 = q*h. What is the smallest common multiple of h and w?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, g: 1, t: 1, o: 4}. What is prob of sequence opt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/6*-9)\/((-2835)\/(-252)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 11\/504 (c) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1301600 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 596 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = -107*p + 334 - 771 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672820?\nAnswer: 2, 5, 33641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x = -6*x - 6. Let k be ((-108)\/21)\/((-3)\/14). Let w be (-94)\/(-6) - (-8)\/k. Calculate the highest common divisor of w and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 607*u = 546*u - 305. Let g(q) = 12*q + 35. Determine g(u).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 15, 13, 11, 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-4 + (-7 - (-1 - (-3 - -23))))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 times -15.3\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.978 - -0.202. Let z = -0.18 + i. Is -0.1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/5 - 209880484*h\/5 + 5506227195509282\/5 = 0.\nAnswer: 52470121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6567a (base 12) in base 15?\nAnswer: -29a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -547*v**3 - 9*v**2 + 55 wrt v?\nAnswer: -3282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 1065?\nAnswer: -1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 81*s. Let j(x) = 8742*x + 66. What is c(j(v))?\nAnswer: 708102*v + 5346","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -647, -1430, -2515, -3896, -5567, -7522, -9755?\nAnswer: -12260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15\/2*152\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + 1) - -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 6. Let d(l) = 6*l + 17. Let i(h) = 6*d(h) + 17*r(h). Let q(j) = 1497*j - 718*j - 782*j + 22. What is q(i(p))?\nAnswer: -6*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 8. Let y be p(8). Which is the nearest to y? (a) 2 (b) 0.4 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -501715 at most -501715?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/3342155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 105076 to the power of 1\/2, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnnnnqnqqqqnqqqqqqn. What is prob of sequence nqnn?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294959541 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 14, 8, 0, -10, -22, -36?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3783419 is divided by 34389.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*m - 223, -k - k + 4*m = -128. Suppose 0 = -56*s + k*s - 312. Suppose 2*l - i = -6*i + s, -5*l + 2*i = -448. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26278.70631 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27304*v + 29239*v = 81270 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 + 5*p - 11. Let f be b(-7). Find the second derivative of f*c**3 + c**3 + 6*c + 36*c - 9*c wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-120) + 84\/(-105)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-13 - -36 - 24) + (8 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2344.56 - 2338. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 163 = -7*l + 743. Calculate the greatest common factor of 2465 and l.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = f, 33 = 2*v + 2*v + 5*f. Suppose w + 2*l = 46, 2*w - v*l - 42 = 32. What is the second derivative of 9*a - 36*a**5 + 52*a**5 - w*a**5 wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251.1 + 251. Put -25, y, 5 in increasing order.\nAnswer: -25, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 3 p when four letters picked without replacement from {q: 1, t: 3, p: 3, l: 7}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39 + 6 - (-31 + -5 + 54)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 + -193. Do 1\/4 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.5816 - 61.5582. Let c = g - -0.0766. What is c rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.206, 0, 0.1458?\nAnswer: 0.1458","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 3*m**2 + 29*m**3 - m**2 - 41*m**3 + 18*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*u, 2*u = 2*c + 3*c - 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 250*n - 957. Let k be j(-87). Put 8, -594, k in decreasing order.\nAnswer: 8, k, -594","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 - 6. Suppose 0 = -r - 3*r + y. Find the third derivative of -r*q**3 + 26*q**3 - 4*q**2 + 4*q**6 wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -159 and 0.034.\nAnswer: -5.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3\/6 + 7*z**2\/2 - 14*z. Let r be s(4). Which is the closest to r? (a) 3\/2 (b) -4 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*f + 9*f + 3. Suppose -4*s = -f*w + 5*w - 376, 2*w + 2*s - 366 = 0. Let h = 13 + w. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -769, 19, -1 in decreasing order.\nAnswer: 19, -1, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7493 - -109840. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 12446?\nAnswer: 12447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 286\/(-6))\/(2\/(-6)).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6\/11)\/z)\/z*z)**(2\/11)*(z\/z**(-5))**(-7))**(-29) assuming z is positive.\nAnswer: z**(148364\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*y + 232*y - 25 = -q + 119*y, 3*q + 5*y + 30 = -16 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -l - 1863, 2*l = -3*t + 374 + 749. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -3*l + 1\/180*l**5 + 0*l**4 + 1\/540*l**6 + 0 - 3\/2*l**3 + 0*l**2. Let r(z) be the second derivative of b(z). Factor r(w).\nAnswer: 2*w*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-4))\/(((-21)\/56)\/1). Let b be 6\/1*(v - (4 - 1)). Suppose -h + 2*h = -2*a + 10, 0 = a - 2*h. Solve f - a*f + b = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 879146743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4*sqrt(720))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/68 - -1)\/((-651)\/5208)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189 - 127. Let o = 122 - u. What is the smallest common multiple of 9 and o?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23802371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2\/2 + 8*u - 67. Give r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6 = -5*a - 2, -a = -2*p + 10. Suppose -5*d - p = 8. What is the nearest to -1\/2 in d, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -j + 15. What is the least common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.92 + 11.7. Let v = q + -0.08. Which is the nearest to 2? (a) 0 (b) v (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232490 and 402.\nAnswer: 697470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*f**3 + 5888*f**2 + 499*f + 81273064 wrt f?\nAnswer: -42*f**2 + 11776*f + 499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2155*l - 20 = -2159*l, -4*s - 5*l - 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -833 or -5976?\nAnswer: -5976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Suppose -z*n + 51 = -2*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -21741, -21449, -21161, -20883, -20621, -20381?\n\"Answer: -s**3 + 4*s**2 + 287*s - 22031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258*g**3 - 655*g**2 + 222*g**2 + 214*g**2 + 219*g**2.\nAnswer: -258*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 65 + 6\/3. Suppose 0 = 2*g - 0*g - q. What are the prime factors of g*((-15)\/(-9))\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 x when four letters picked without replacement from axaxaaaxxaax?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*u = 1 + 6, 3*l + 2*u = 22. Suppose 8*n - 80 = l*n. Suppose -3 + 48 = 3*r + 3*z, 0 = -r + 4*z + n. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*s - 252*s - 528 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 259103*d + 1295520. What is v(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + s + 4, -2*d + s + 3 = 6*s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/58*(-8)\/4*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3890070, -3890079, -3890088, -3890097, -3890106?\nAnswer: -3890115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 63916 - 63916.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3321\/(-1845) + 10768\/10. What is the greatest common factor of 559 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 2. Let r be i(5). Let q be ((-9)\/12)\/(r\/12). Determine k, given that q*k - 2*k**2 - 3 - 2*k**3 + 4*k**2 + 4 - k**5 - 3*k**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21617\/15 - 1441. Which is the closest to 2\/7? (a) u (b) 1\/3 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 30*v + 2 as l*v + f and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -80 (b) 1 (c) -1\/8 (d) -0.3074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/(-5))\/((-5)\/(-25)). Suppose -2*k = 2*o + 3 + 3, 4*k + 26 = r*o. What is the closest to -0.1 in 0, -0.4, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -1611?\nAnswer: -1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 40*o - 214. Let d(m) = -4*m**2 - 40*m + 212. Let i(b) = -7*d(b) - 6*z(b). Suppose i(k) = 0. What is k?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6700439034?\nAnswer: 2, 3, 19, 53, 369659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*n**2 + 146*n**2 - 71*n**2.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*y - 230 = 0, -h + 5*h + y - 184 = 0. Let b = -11 + h. Suppose -4*w - w = b. Let p(i) = -i - 4. Give p(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 28*q - 5. Let k(a) = -29*a + 6. Let o(n) = 4*k(n) + 5*u(n). Is o(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 41*o - 210. Determine x(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 333 + 35. Let r = y - 67. Suppose -1059 + r = -2*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51639780 and 438935.\nAnswer: -51200845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t**2 + 21*t + 16. Let x(l) = -26*l**2 + 32*l + 24. Let d(n) = -8*g(n) + 5*x(n). Find a, given that d(a) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 5*s + 5. Let b(p) = -5*p**2 - 7*p + 7. Let m(t) = 5*b(t) - 7*u(t). Let r(q) be the second derivative of 2*q**3 + 8*q. Calculate m(r(v)).\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/v**(1\/13)*v)*v**(-15)*(v*v**(-6))**(-37) assuming v is positive.\nAnswer: v**(2198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735*y - 317*y - 613987 = 7144*y - 195989 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46885126*m**4 - 1262372*m**2 + 2?\nAnswer: -1125243024*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 1. Let j be d(1). Suppose j*u + 2*u = -4*g - 8, -3*u = 9. Let t be (6\/(-4))\/(g\/2). Which is the closest to 0? (a) 0.3 (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/(-144) + (-66)\/(-27) - -17.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5*d**2 - 10*d - 183. What is c(0)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003980777 rounded to 6 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39491 and 819009.\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 66*o**2 - 97*o + 388. Calculate the lowest common multiple of j(4) and 198.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d**2. Let k = -26 - -47. Let q(z) = 23 + k - 44 + 4*z**2. Give q(f(g)).\nAnswer: 196*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -0.07. Put q, 4\/9, 1 in descending order.\nAnswer: 1, 4\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*s + 775 = 0, -y + 2*s = -3*y + 1558. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8201554657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + 11. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -149040000 to the nearest 1000000.\nAnswer: -149000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 - 7.89. Let k = -2 - -2.04. Let c = -0.04 + k. Is c greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333054*s**3 + 6*s**2 - 314*s + 269.\nAnswer: 1998324*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -2\/1941, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -29295 - 16.5?\nAnswer: -29311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84244 - 122324 = -50*s - 22*s. What are the prime factors of s?\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 4*g = -4, -3*t + 0 = 2*g + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 116443611?\nAnswer: 116443606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -163 + 0 - (5 - (8 + -3)). Let i = 580 - 307. Let c = v + i. Round c to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 8 (b) 2\/3 (c) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 4, d: 1, r: 2, i: 4, g: 3}. What is prob of picking 3 g and 1 d?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06143 + -0.83857. What is the biggest value in k, 2, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 g when two letters picked without replacement from {k: 2, p: 1, g: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-422)\/((-5)\/((-15)\/2)). Let h = d + -1567. What is h rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -0.3 (c) 5 (d) 8.9 (e) 1\/5 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -533 + 542. Solve 0 = o*q - 8*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y**2 + y - 2. Let g be l(2). Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 5*v)*(2*v - 3*v + 3*v + 6*v - 4*v + 4*v + (-2 + 3 + 0)*(2*v + 3*v - 6*v) - 4*v + 5*v + v) - v + v + 2*v**2.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 61240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2294 and 1711102?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -8b89 (base 13) to base 6.\nAnswer: -230300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*p**2*w**2 + 2*p**2*w + p*w**3 - 19*p*w - 6*w**4 + 1 wrt w.\nAnswer: -40*p**2 + 6*p*w - 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lfllllhhhhlf. What is prob of sequence fhl?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 4) + 9 - (2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {i: 5, r: 5, y: 3, n: 5, k: 2}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/6 + b**4\/12 - 16*b**2. Let t be j(6). Suppose 9*x - t = 564. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*l - 564 = -3*m, l = -m + 116. Suppose 3*i + m = 6*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/7, 2\/13, -1, 0.2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*o + 54 = -36*o. Suppose o*l = -3*l - 45. Let f = 1 - 1.4. What is the second biggest value in 6, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*d - 4, -d = -m - 4*d - 11. What is the biggest value in m, -0.3, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 + 2123332222?\nAnswer: 2130001103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17888*w = 19327*w - 129510 for w.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.74936ml to litres.\nAnswer: 0.06374936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 - -26. Let h be 0 + (0 - i) + 12. Calculate the greatest common divisor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647 is divided by 113.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 25\/3*i**3 + 0*i - 112 + 6*i**2. Find the second derivative of r(o) wrt o.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 - 7*x**2 + 22 + 3*x**2 + 2*x**2 to o*x**2 + r*x + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 233 = 3*b + 402, -3*m = -12. Let h = 216 + b. Solve y + 40 = h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*t - 365 = -2*u, -3*u = 4*t - 187. Let f = -9 + u. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1017, 8109, 27357, 64839, 126633?\n\"Answer: 1013*p**3 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8680987 to the power of 1\/2, to the nearest integer?\nAnswer: 2946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(2\/13)*r*r*r))\/r**(-2\/11))**(-1\/41)\/((r**1)**(-3\/4))**(25\/3) assuming r is positive.\nAnswer: r**(147703\/23452)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 5*f - 3286*w + 3283*w, -5*w - 99 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2508, 2520, 2548, 2598, 2676, 2788, 2940, 3138?\n\"Answer: u**3 + 2*u**2 - u + 2506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13.4, 19, -0.3, 3, -1\/4, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 946 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-298)\/(-894)*(-21)\/(-1)*(-3)\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -81703, -163244, -244783, -326320?\n\"Answer: v**2 - 81544*v - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 13*y**9\/252 - 11*y**5\/30 + 34*y**2. What is the third derivative of p(t) wrt t?\nAnswer: 3120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 37*v**2\/4 + 9*v.\nAnswer: v*(v + 1)*(v + 36)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + 22*u**2 - 25*u - 11. Determine j(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-132) - (-1)\/((-99)\/40)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 533719 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 4770*p**3 - 3*p**2 + 733*p**3 + 2*p**2 - 2.\nAnswer: 5503*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*v - 2*v - 4, 2*v = -2*i + 16. Solve 4*c + 7 = 2*g - 5, v*g - 2*c - 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 222477*m**3*s + 2*m**3 - 1292*m**2*s + 4946*m**2 wrt m.\nAnswer: 1334862*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 165 + 10 = 0. Suppose -15*z = t + 55, -4*t + 12 = z - 4. Sort 1, t, b in ascending order.\nAnswer: b, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7938 + 7949. Let i(o) = -o**3 + 13*o**2 - 21*o - 19. Determine i(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/15)\/(2\/(6\/(-3))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of 2*h**3\/3 + 21*h. Let i be 0\/1 - 1 - (6 - 20). Let d(k) = i*k - 29*k + 15*k. Calculate d(m(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 6:58 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10490 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 8*i - 5*i. Suppose 85 = -n + i. Calculate the remainder when n is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 10*x = -8. Solve -2*n = -f - 10, 5*f = x*n + n - 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25*(-1)\/20)\/((-21)\/28).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 32?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18441, -17780, -17125, -16476?\nAnswer: -15833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 17. Let v = -5 + u. Let m = 0 - v. Which is the closest to -1? (a) -5 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + t - 46, -41 = -5*m + 2*t + 32. Suppose -18*b = -m*b - 1683. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**5 + l**5 - 6*l**5 - 3*l + 2 - 2*l**4 wrt l?\nAnswer: -140*l**3 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0 + 0 + 1)*(0*r - 2*r + 0*r - 2*r + 4*r - r + (-2 - 2 + 3)*(r + 5*r - 4*r) - 3*r + 3*r + 5*r + 6*r + 2*r - 2*r).\nAnswer: -16*r**2 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = c + 130, 2*k - 91 = -3*c + 14. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**3 - 30*u**2 + 2*u - 8. What is h(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -178 - -182. Suppose 8*v - 4*v = 0. Suppose -y*q - u + 1179 = v, 4*q - u - 591 = 2*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(320)*4 - (6*sqrt(80)\/sqrt(4) + sqrt(20)))\/(-5*sqrt(100)*-1)*-5.\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28568 by 4.\nAnswer: -7142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -664233 + 4?\nAnswer: -664226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0349 and 236.\nAnswer: -8.2364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 813, -439, -1691?\n\"Answer: -1252*x + 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-1 + sqrt(567))*-3)**2 + (sqrt(63)*-2 - (3 + 1 + sqrt(7)))**2.\nAnswer: 56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/490 - z**6\/70 - 3*z**5\/140 - 6*z**2 - 4. Factor i(n).\nAnswer: -3*n**2*(n + 1)*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = y - 3. Factor -b**2 + 8*b**y + 158*b**5 - 156*b**5 - 10*b - 4 + 8*b**3 - 3*b**2.\nAnswer: 2*(b - 1)*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*m = 5, -4*m + 2 = 4*q - 18. Calculate the remainder when -2*1 + 111\/q is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -9. Let u(j) = -j**2 + j + 37. Calculate -9*t(v) - 2*u(v).\nAnswer: 2*v**2 - 2*v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 - 10*a**4\/3 + 338*a**2. Factor j(c).\nAnswer: c*(c - 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28194 and 1143.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 515234*n**2*t**2 + 23*n**2 - 51*n*t**2 - 1402*n*t - 50 wrt t?\nAnswer: 1030468*n**2 - 102*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/33 + (-402)\/(-33). Suppose -i = -2*h + 5*h. Which is smaller: h or -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -848, -1147, -1436, -1715, -1984?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/3, -14\/5793 in decreasing order.\nAnswer: 2\/3, 0, -14\/5793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, 32, 67, 114?\n\"Answer: 6*b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**3\/6 + 45*n**2\/2 + 8*n. Let s be k(0). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 12:08 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 65 - 55 = 110 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*h + 24045 = 18645 - 34930 for h.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(3\/13)\/j*j))**(2\/19)*(j**0)**17 assuming j is positive.\nAnswer: j**(20\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4774550 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**8\/(z*(z*z**(-8))\/z))\/(z**1\/z)**(-2\/19) assuming z is positive.\nAnswer: z**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m - 7. Let b(f) = -4*f + 11. Let t(l) = -10*l + 8. Let x(c) = 4*b(c) - 3*t(c). Determine -6*x(w) - 17*y(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 2)*(-1 - 4 - 11)*(-2*c + 4*c - 4*c).\nAnswer: 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1852410 and 0.2?\nAnswer: 370482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 175, 2, -0.07, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 3*s**4\/8 - s**3 + 24416*s**2 + 2*s - 2. Let a(l) = l + 2. Let n be a(2). Let c(m) = 5*m - 3. What is n*g(b) - 7*c(b)?\nAnswer: b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 5)*(-2 + 1 + 0)*(0*f**2 + 7*f**2 - 5*f**2).\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, r: 1, h: 1}. Give prob of sequence hf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x + 0*x + 28 + 4*x - 10*x as a + p*x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2561, -5070, -7579, -10088, -12597?\n\"Answer: -2509*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**3 - 4*o**3 - 31*o**3 + 30*o**3 + 3*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 6*d + 2*d + (5*d - 4*d + d)*(4 - 1 - 1) + 61 - 3*d + 79 - 138 to the form v*d + h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 + 7 + 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450*w**4 - 3*w**3 - 3*w - 614?\nAnswer: -5400*w**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 7. Let a(j) = -j**3 + 7*j**2 - 8*j - 6. Let o be a(6). Let b = o - -27. Calculate the remainder when y(3) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-5))\/(j**(-2\/3)*j))\/(j**(1\/2))**21)\/((j\/(j\/(j\/(j*(j*((j*j\/(j\/(j**0\/j)*j))\/j)\/j)\/j))))**(-12\/13))**10 assuming j is positive.\nAnswer: j**(1861\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(9\/8)\/(w**1\/w*((w*w*((w\/((w**(-1\/4)\/w)\/w*w))\/w)\/w)\/w)\/w) assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 102, -0.1, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16331.1 and -0.05.\nAnswer: -816.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 2, l: 4}. What is prob of sequence oo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + r - 15. Let b = -3187\/6 + 513. Find the common denominator of x(0) and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32437.0349 + 32457. Let q = r - -10.0311. Let p = -30 + q. Round p to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 4. Let s(n) = -10*n - 13. Let u be (-40)\/(-24)*((-22)\/(-10) + -1). Calculate u*s(f) - 7*l(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4141 and 0.054?\nAnswer: 4141.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6591751, 13183518, 19775285, 26367052, 32958819, 39550586?\n\"Answer: 6591767*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -37 - (-5 + -1)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4429, -6682, -8935, -11188, -13441?\nAnswer: -15694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*z + 6*z - 2*o, -4*z = -3*o - 42. 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 -40 (base 5) in base 4?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14145 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1 + 0*x + 5*x - 6*x. Let k be d(1). Suppose k*i + 4*i = 20. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*h + 267 = 13995 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0 + 10 = 0. Suppose -3*c + p - 113 = -q*c, 0 = -5*c + 5*p + 245. Suppose -3*r = -96 - c. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 260*v**2 - 460*v + 2000.\nAnswer: -5*(v - 2)*(v + 4)*(v + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2\/4 + (-3585)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -20 - (10 - 2) - (-3 - -5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 4*q**2 - 3485*q + 3485*q + 38*q**3 + 243*q**3.\nAnswer: 281*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 31\/5 of a microsecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 40 = 30*z. Let m(p) = 0 + 23*p**2 - z*p**2 + 0. Let w(d) = 3*d**2 - 2*d**2 - 2*d**2. Give w(m(x)).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1632 and 663?\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 88877381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 822 - 818. Suppose -j*d = x - 21, -4*x = -5 + 1. Factor -7\/2*s**4 + 0*s + 15\/2*s**3 - 9\/2*s**2 + 1\/2*s**d + 0.\nAnswer: s**2*(s - 3)**2*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*o - 18, -2*s + 8 = -2. Let g = 137 + -120. Suppose -19 - g = -3*m. Calculate the least common multiple of o and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -7149, -0.2, 0, -162 in descending order.\nAnswer: 1, 0, -0.2, -1, -162, -7149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 10*c - 9*c. Suppose -6 = c*q - 15*q. Let j = 18 + q. What is the smallest common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194168.47870674655 - 0.15033674655. Let x = p + -194172. Let n = -3.67 - x. What is n rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 31. Suppose 20789*i = 20815*i - 17888. What is the highest common factor of i and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -42 + 34. Suppose 3 + 231 = w*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62069276837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**6\/6 + 2*k**4\/3 - 6*k. What is the third derivative of r(n) wrt n?\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39896?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-5*x + 0*x + 3*x)*(7 + 6 - 6).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -3*f + 291822, 2*c + 3*f = 6*c - 97298. Does 95 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/21, -14, -4, -3, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -23*c + 3. Let t = 20 - 2. Let q be -1*(t*-1 - -1). Let o(f) = -8*f + 1. What is q*o(y) - 6*z(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -26?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssm when three letters picked without replacement from {s: 2, a: 5, m: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**2 + q**3 - 7*q + 5 - 2 + 0*q**3. Let j be c(-7). What are the prime factors of j\/(-6) + 265\/10?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*c - 17*c + 6920. Round c to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1540 in -6\/2521, 0, 3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12842 - 2529. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177768152.\nAnswer: 2, 61, 67, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 < 6.87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = -7*m - 91 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 7903 (b) -13 (c) -183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, a: 2, r: 6}. What is prob of picking 3 r?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.46, 0.1, 5, 3, -3\/2, -0.4?\nAnswer: 1.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-428 - 2)*(-1)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-786)\/(-2358))\/(1*(-2)\/(-34914)). Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 34*t**2 - 100*t + 223. Let s be v(31). Solve 5 = s*q + 17 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2693\/2, -7, 0.1?\nAnswer: 2693\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 + 2*s + 1. Suppose 0 = -v - 2*r + 2, -3*v + 22 - 6 = -4*r. Let p be (v\/6)\/((-2)\/3). Calculate u(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t + 9. Let m(p) = 30*p + 16. Let r(y) = -7*y - 4. Let b(w) = 2*m(w) + 9*r(w). Let c(v) = -9*b(v) - 4*f(v). Let i(o) = -2*o + 3. Give i(c(q)).\nAnswer: 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 116*t + 541. Calculate u(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-503*n + n**2 + 504*n + 9*n**2)*(263*n - 57*n - 68*n + 141*n + 348*n) in the form k*n**2 + g + a*n**3 + h*n and give a.\nAnswer: 6270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**3\/3 + 5*j**2\/2 - 3*j + 14. Give u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - h = 1019, 5*h + 276 = 4*o - 556. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 22*o**2 + 0*o - 8*o + 16*o + 0*o.\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.25 - 3.25. Let l = -182.8 + 183. Which is the smallest value? (a) k (b) -108 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23142\/655 or -34?\nAnswer: -23142\/655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 672 and 10500?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1635916 from -22811237.\nAnswer: -24447153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3722994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 98\/5, 3, 2, -2\/13 in decreasing order.\nAnswer: 98\/5, 3, 2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.836 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 3*m. Let b be h(-4). Let g be (-9)\/(-2) + 2\/b. Suppose -50 = -4*s - 5*r, 4*r = g*s + s - 42. What is the remainder when 29 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 317. Is j(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 w when three letters picked without replacement from wyvmwwppwpp?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64187?\nAnswer: 64187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10158538 is divided by 1995.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5295456030 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11338, 22505, 33508, 44347?\nAnswer: 55022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 273550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149 + -146 - (2\/2 + 2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8740 by 5.\nAnswer: -1748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/5 and -97\/39868605.\nAnswer: 39868605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -40. Suppose -3*m + 192 - 57 = 0. Suppose g + m = 6*g. What is the highest common divisor of g and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.511518 minutes in microseconds?\nAnswer: 330691080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3092.2*21.89.\nAnswer: 67688.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2a (base 16) to base 12\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 10*q**2 + 4. Let v be n(-10). Solve -16 = -3*g - 4*a, 2*g - a = -0 - v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 109. Calculate the highest common factor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 11, u: 1, e: 2, o: 1, l: 3}. What is prob of picking 1 e and 2 l?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -783901, -1567790, -2351679, -3135568, -3919457?\n\"Answer: -783889*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -15*f**2 + 17*f - 93. Let d(c) = -5*c**2 + 6*c - 32. What is 17*d(n) - 6*u(n)?\nAnswer: 5*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27019883399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 11*g**2 - 24*g + 6. Suppose 0 = 5*v + 25, 4*a - 2*v + 10 = -28. Does 24 divide d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159227 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/7 - 12*u**2\/7 + 256\/7.\nAnswer: -(u - 4)*(u + 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of d**6\/360 + d**4\/6 - 5*d. Let h(x) be the third derivative of k(x). Let b(l) = -5*l. Determine h(b(t)).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 8*g**2 + 2*g + 8. Let i be l(6). Let n = 99 + i. Let o = n + -18. Calculate the remainder when 112 is divided by o.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 4*g**2 + 4*g - 4. Let q be k(-5). Let u(p) = -39*p - p + q - 2. Is u(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3 - 44627*q**2 + 497825335*q + 1493877675 = 0?\nAnswer: -3, 22315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 730\/1378881 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 54. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271682852.\nAnswer: 2, 7, 229, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -9*x**2 + 3750*x. Let b(q) = -2*q. Give b(h(a)).\nAnswer: 18*a**2 - 7500*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4958843 litres?\nAnswer: 495.8843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2877999926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14765608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5533 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w**3 - 3*w**2 - 8*w - 25. Calculate o(-3).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 23. Let l = -7345 + 7343. What is the third smallest value in -1\/4, c, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (31\/(-36))\/(1\/(-3)) and 6\/21 + (-622)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21285 and 4378.\nAnswer: 8471430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 + (-16 - 5) - -7) + -9 + (60 - 5).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 - -71. Calculate the remainder when 63 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11930*j**6 - 268*j**2 + 20*j + 1.\nAnswer: -1431600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 + 6 = 0. Let c(z) = -2*z**3 + 2*z + 3. Let u(s) = -s - 1. Let g(i) = y*u(i) - c(i). Differentiate g(o) with respect to o.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 4*r + 7. Let v = -14 - -9. What are the prime factors of k(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 2015. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-3)*(1 - 0). Let w(z) be the third derivative of -z**6\/120 - z**5\/15 + z**3\/2 + z**2. Determine w(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7674.009 seconds to nanoseconds.\nAnswer: 7674009000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108)*-2)\/sqrt(4))\/(sqrt(18)\/sqrt(18)*-5).\nAnswer: 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 306453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.2. Let p be 24\/(-27)*(-42)\/56. What is the closest to i in 0, -0.4, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244964?\nAnswer: 2, 47, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5\/18, 129?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 8*k + 29307*k**2.\nAnswer: 29307*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/4 - 1815225*y**3\/2 - 1098401722275*y**2\/4 - 8237400288750*y - 61778970607500 = 0. What is y?\nAnswer: -605060, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.04 + -0.04. Let s = a - 3. Let t = -0.03902 + 0.13902. Sort 14, s, t in decreasing order.\nAnswer: 14, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (145\/(-87))\/((-20)\/12). Let n(w) = 25*w. Let s be n(6). Let r be (-42)\/s*(-6)\/7. Which is the third smallest value? (a) 1\/4 (b) 2\/9 (c) q (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 8) to base 15\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooqo when four letters picked without replacement from {x: 1, g: 1, q: 3, o: 3, t: 3}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015969215 rounded to 7 decimal places?\nAnswer: 0.0001597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -2971.1605769.\nAnswer: -2971.5605769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962700022?\nAnswer: 2, 5939, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 82 + (35 + -9 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 13760?\nAnswer: 13760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -69*l + 76*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**5 - 85*b**4 - 415*b**3 - 9*b**2 - 258*b + 24?\nAnswer: 180*b**2 - 2040*b - 2490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 - -497.9. Let q = x + -24. Let a be (-38)\/14 - 4\/14. What is the third smallest value in q, a, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*x - 405, -8*x = -t - 9*x - 103. Let v = 118 + t. Let f(w) = -w + 1. Let z be f(-1). What is the greatest common divisor of v and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(2064\/(-86)))\/(-2*3\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.448 - -19.697. Let h = -15.214 + n. Let p = 11 - h. Round p to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 1484*a - 2964.\nAnswer: -(a - 1482)*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - -a?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.48 * -3.333\nAnswer: -4.93284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*n = 129. Let t = n + -44. Is t at least as big as 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + (-81)\/(-30))\/((-66)\/(-935)). Sort -2, -5, 0, d in descending order.\nAnswer: 0, -2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.31 and 15?\nAnswer: 4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(3\/18*(-24)\/(-4))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -251*r**2\/3 - 292657*r\/3 + 3498.\nAnswer: -(r + 1166)*(251*r - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -690 - -697. What is the remainder when 152 is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -4*x - 6, -163*x + 34 = -4*h - 160*x for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22684451459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5076.449 microseconds in milliseconds?\nAnswer: 5.076449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52812132 by 13746.\nAnswer: -3842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-3)\/(-1155)*5). Let r = u - -96. Solve -r = 5*s + 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/19855 and 54\/1252625?\nAnswer: 452197625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-4 - -6 - 0)) + (-5 - 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136\/11 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11745 - 0.4?\nAnswer: -11745.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 46*y - y**3 - 46*y. Suppose -2*i = -4*i. Suppose 5*l - 4*w + 0 + 21 = i, -3*l + 4*w = 19. Calculate x(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*l + 2*z, -2*z - 2247 = 3*l - 2263 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123515275.\nAnswer: 5, 13, 380047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -7536\nAnswer: 23\/7536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j. Let f be 1\/(-1) + (-9 - -3). Let b(h) = -4*h. What is f*s(q) - 6*b(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = t - 11, w - 37 = 3*w + 3*t. Calculate the common denominator of 11\/14 and -1 + 10 + -6 - (-11)\/w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6058\/27965 - -130\/329. Let q = 1\/85 - i. Let v be (-1)\/(-4) - (-45)\/(-36). What is the second smallest value in v, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -225*f + 160*f + 29. Solve -25*r + 26*r = -f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -91, 1227.\nAnswer: -91, -8\/5, 1227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 21, 40, 59, 78, 97?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 16) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.44768 + 0.06112. What is h rounded to 2 decimal places?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211, 822, 1861, 3334, 5247?\n\"Answer: b**3 + 208*b**2 - 20*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5584*r - 2600 = 11092*r - 5558*r for r.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 4*(sqrt(85) - (sqrt(85) - -2*sqrt(85))))\/((sqrt(20)*2)\/sqrt(4)).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(210\/375))\/(2\/(-2)*-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 10 - 1 + 7*n + n**3 + 3*n**2 + 4*n**2. Let u = -134 - -202. Let t = -74 + u. Give m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 + 2371095 - 2371095.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*r + 22*q = -47*r - 29, 3*q + 31 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*o - 322558 = -322538, 26 = -5*y + 2*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156925418.\nAnswer: 2, 13, 1231, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22*x + 13. Let g(w) = -67*w - 37. Let m(p) = -17*f(p) - 6*g(p). Determine m(2).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 16. Let o = 9 + x. Suppose 16 = o*t - 34. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*w = -35, 5*m - 3*w + 23 - 52 = 0. Solve -n = -4*l + 3, 5*l + 3*n - 4 = m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 - 13*j**5\/60 - j**4 - 5*j**3\/2 - j**2 - 3. Let b be r(-11). Calculate the highest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -456, -767, -1078, -1389, -1700?\n\"Answer: -311*a - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -5*d + 463. Calculate the highest common factor of 455 and d.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -1. Let s = -64 + 110. Suppose -2*z + s = p*k, 0 = z + 2*k - 7 - 15. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 10:54 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 355948, 356376, 357096, 358114, 359436, 361068, 363016?\n\"Answer: i**3 + 140*i**2 + i + 355806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*q**2 + 457*q**2 - 237*q**2.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -43*l - 63. Suppose -5*n - 3*z = 7 + 8, -n - 2*z - 3 = 0. Calculate the remainder when h(n) is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -29. Suppose -4*o + g*o = 5. Suppose -2*i = -2*t + 134, 0 = -5*t + o*i - 2*i + 335. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1 - -1) + 0)\/1. Suppose p = -5*q - 58 - 87. Let i = q + 53. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2310 - -4597\/2. Let w(i) = 6*i + 42. Let v(n) = -2*n - 14. Let l(q) = 8*v(q) + 3*w(q). Let j be l(-13). Is j at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 - 737*d - 6542. Give a(-9).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + l = 3, 0 = -5*c + 4*l - 12 - 0. Suppose 4*y = 20, -4*y - 11 + 29 = 2*z. Let i = c + z. Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -901.\nAnswer: -6\/901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 2013 - 369. What is the remainder when c is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 40*h - 26. Let i(k) be the second derivative of 4*k**3\/3 - 5*k**2\/2 + 7*k - 31. Give -3*a(f) + 16*i(f).\nAnswer: 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(468) + 1) + (sqrt(468) + 4 + sqrt(468) + sqrt(468) + 0 - sqrt(468)) + -4 + -2*sqrt(468) + 2)**2.\nAnswer: 180*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39726.\nAnswer: 2, 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2. Let x(u) be the second derivative of -7*u**5\/15 - 85*u**3\/6 + 37*u. Let n(a) be the second derivative of x(a). Give n(r(w)).\nAnswer: 56*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 12*h**2 - 12*h + 20. Let o be k(-13). Suppose o*i = 4*i + 6. Solve 0*v = -i*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 11. Suppose 2*s - 8 = 0, a = -3*g + 2*s - 0*s + 19. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/13)*p**(-2\/3))**(2\/5) assuming p is positive.\nAnswer: p**(-58\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216549 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 218.\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19309980 or -19309985?\nAnswer: -19309980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.344 and -37.4?\nAnswer: 12.8656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 7*x**2\/2 - 3*x - 1. Suppose 5*g = -i - 55 + 11, -3*i - 36 = 3*g. What are the prime factors of u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3446 is divided by 380?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81*f**2*x**2 + 2331*f**2*x + 3523997*x**2 wrt f?\nAnswer: -162*f*x**2 + 4662*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -42.479575.\nAnswer: -40.479575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -25*c. Let i(g) = -g**2 - 25*g - 10. Let j be i(-24). Let z(t) = 39*t**2 - 18*t**2 - j*t**2. Determine z(v(x)).\nAnswer: 4375*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is b61265 (base 12) in base 4?\nAnswer: 22323020231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00098625 rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/161 + (-9)\/7. Is 6\/12*0 + (299 - x) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 6. Let n = -9 - d. Suppose 0 = -4*c - 4*h + 32, -n*c - 4*h - 5 = -34. Sort 5, 1, c in increasing order.\nAnswer: 1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50935176 and 3096.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = 41. What is the smallest common multiple of 64 and a?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14086 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78504, -78506, -78508, -78510, -78512, -78514?\n\"Answer: -2*q - 78502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -107*p + 2440. Determine b(23).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18772*z - 20964*z - 23718*z + 49827*z to the form y + r*z and give r.\nAnswer: -13627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 186876841 and 5.\nAnswer: 934384205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 38. Let l(m) = -53*m**3 + 2*m**2 - 2. Let i(u) = 107*u**3 - 5*u**2 + 5. Let v(j) = t*i(j) + 7*l(j). What is the tens digit of v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/22)*p*p*p**(-2\/31)*p assuming p is positive.\nAnswer: p**(2653\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 91786721.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 295 = 11*w + 5*d, -3*w = 3*d + 222. Let j = -48 - w. Solve -8*h + 4*h - j = -5*t, h = 2*t - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 f, and 1 x when three letters picked without replacement from {s: 3, d: 1, f: 1, a: 1, x: 4, b: 4}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 12:34 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46581 (base 9) to base 8.\nAnswer: -74570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 5:47 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41491 divided by 1.\nAnswer: -41491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 728343.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/6 - (-356)\/12. Suppose i - y = 4*i. Is (4\/i)\/(2\/(-70)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 256*k**4 + 174540*k**3 - 4959*k - 17058?\nAnswer: 3072*k**2 + 1047240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -223 + 222.887. Let b = q + 0.11299907. Round b to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 8*x + 7. Is (-442)\/(-8) + x\/28 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + (1 - 0))\/1. Suppose -m - 4 = -7. Suppose -4 = -u*j + m*j. Solve 4*a + j = -2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.7795 + 0.9795. Which is the nearest to -0.07? (a) i (b) -1 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2 + p + 1. Let v(n) = -9*n**2 + 126*n - 279. Let s(b) = -v(b) - 2*w(b). Differentiate s(m) wrt m.\nAnswer: -2*m - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0105086509 times -0.1\nAnswer: -0.00105086509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 (base 15) in base 16?\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(320) + -4 + (1 + sqrt(320))**2 - (sqrt(320) - (-3*(1 + sqrt(320)))**2))*-5.\nAnswer: 4800*sqrt(5) + 96180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28556126 a multiple of 1854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*r - 32490 - 5618. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 25 + 15 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**4\/4 + r**3\/6 + r**2. Let m be 2\/(-1)*(-105)\/(-42). Let t be (3\/(-15)*m)\/((-2)\/6). What is f(t)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*t**3 - 6*q**3 - 500*q**2*t**3 - q*t**3 + 143032*q*t**2 wrt q.\nAnswer: -12*q*t**3 - 36*q - 1000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 5, 11 in decreasing order.\nAnswer: 11, 5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 != -299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 127210 to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w + 3 - 2 - w. Let a(i) = 4*i + 5. Suppose 21*h - 22 = 26*h + 3*p, -4*p = -h - 9. Determine h*g(k) + a(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/480 + w**5\/8 - w**4\/96 - 5*w**3\/4 + 2*w**2 + 15*w. Factor u(i).\nAnswer: (i - 1)*(i + 1)*(i + 30)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 3*o**4 + o**4 + o**2 - 2*o**3)*(o + 2 - 2).\nAnswer: -o**5 - 2*o**4 + o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -1 - 0) + -11 + 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5\/3*k**3 - 41\/6*k**6 + 0*k**4 + 0*k**5 + 1\/2*k**2 + 0*k + 36. What is the third derivative of h(x) wrt x?\nAnswer: -2460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k*k**(-2\/3)*k)\/k)\/k*k**(1\/16)\/k)**(-1\/85) assuming k is positive.\nAnswer: k**(29\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7209333 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a**3 + 7*a. Let f be m(5). Suppose -5*y = -5*c + f, 0*y + 2*y + 247 = 3*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(448) - (sqrt(448) + -1 - sqrt(448))) + sqrt(448))**2 + 3)*4 + 4.\nAnswer: 1920*sqrt(7) + 64628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 4. Let q = 405 - 402. Suppose 0 = q*v + 7*k - 3*k - 14, 3*v + 5*k = 16. Give y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 7) + (9 - 5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 72 = 5*w. Suppose -w*n = -0*n - 18. Suppose -q = n*p - 39, -4*q + 163 - 14 = p. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1962178*l**4 - 276*l**2 - 5203*l wrt l?\nAnswer: 47092272*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -39, -22, 37, 162, 377, 706, 1173, 1802?\n\"Answer: 4*x**3 - 3*x**2 - 2*x - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -22200012?\nAnswer: -22200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5206 = 2*u + 3*u, -4172 = 4*u - 4*k. Let o = u + 2024. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 1. Let u(a) = -a**2 + 31*a - 13. Let n(t) = 6*b(t) - u(t). Let w = -22 + 85. What is the remainder when w is divided by n(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(450) - sqrt(450)*2)\/sqrt(10))\/(sqrt(108)\/(-2*sqrt(12))) - ((-1*sqrt(45) - sqrt(5)) + 0)*2) + 3)**2.\nAnswer: 60*sqrt(5) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3*t + 9. Let g be c(-11). Let y = g - -15. Suppose 26*i + 70 = 19*i. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/p**6)\/(p\/p**(-2\/39)))\/(((p*p**3)\/p)\/(p*p\/(p\/((p**(-8)*p*p)\/p)))))**(-45))**(-22) assuming p is positive.\nAnswer: p**(-180840\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11656, 23318, 34980, 46642, 58304, 69966?\nAnswer: 81628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -44 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3794*d + 9393. Is x(50) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = -56*d + 208. Suppose m = 5*a - 7, 2*m + 3*a - 8 = 4. What is the smallest common multiple of d and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 15 = 4*y, -2*u = y + 3. Let l be u\/(-2 - (-1)\/1). Suppose 5*q + l*h = 529 - 122, 4*q + h = 320. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -63*v. Let q(o) = 3*o**2. What is q(n(t))?\nAnswer: 11907*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-4.8.\nAnswer: 1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 75. Suppose -3*w + 3 = -0*w. Let o = w + y. What is the second smallest value in o, -1\/2, 2\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*u = 24240, -5*u + 1 = 16. Let w = j + 3331. Let a = w + -16708. What is a rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**2 - 5*c - 84. Give f(-5).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -1\/2*d**2 + 0*d - 1. Let n(t) = t. What is h(n(g))?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/29791440 and 91\/59110.\nAnswer: 29791440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**3 + 4*c**2 + 4*c + 2. Suppose -4*w = -5*n - 26, 5*w - 3*w = n + 10. Let g be j(n). What is the common denominator of 372\/g - 6 - 0\/1 and -36\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 577, 2318, 5217, 9274, 14489, 20862?\nAnswer: 28393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/7)*c)**1)**(-3\/13))**(5\/11) assuming c is positive.\nAnswer: c**(-135\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 768323 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 2*z + 2. Let x be t(2). Suppose x = 2*h - 4. Let g be -5 - (-576)\/160 - 22\/(-5). Solve g*w - 9 = -h*p + 6*w, -w = 5*p + 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -0.033?\nAnswer: 0.00693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/7 - 15984*l**2\/7 - 68296*l - 2802624\/7 = 0. What is l?\nAnswer: -7962, -22, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.2596 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 750 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 58705572*q - 4307930229808980.\nAnswer: -(q + 146763930)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 d when four letters picked without replacement from {d: 3, l: 3, a: 2, f: 2, j: 3}?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**2\/3 + 12188*z - 111410508 = 0.\nAnswer: 18282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -227\/797463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k = 15. Let z(n) = -2*n**2 + 2*n. Let b(d) be the first derivative of d**3\/3 - d**2\/2 + 3. Calculate k*z(s) - 7*b(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 30413743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.284 times 178.9?\nAnswer: 50.8076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40469 or -1\/378?\nAnswer: 40469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 = h - 4*z, -2*h + 7*z = 12*z - 369. Factor -288*m**2 + m**5 - 4*m**5 - h*m - 36*m**4 + 3210 - 156*m**3 - 3210.\nAnswer: -3*m*(m + 2)**2*(m + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -196.6036 - 0.1964. Let v = 195.847 + h. Let p = -0.077 + v. Round p to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 396\/(-110)*(-10)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 17*n - 28. Let h be z(-9). Let f = -28 + h. What is the highest common divisor of 80 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*k**3 + 89 + 3*k + 3*k**3 - 22460*k**4 + 22782*k**4 wrt k?\nAnswer: 3864*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssksssssksss. Give prob of picking 1 s and 1 k.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, -32, -40, -50, -62?\n\"Answer: -c**2 - 3*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25993 and 165098084.\nAnswer: 2363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/2 + 7*h**2\/2 - 3*h. Let l be x(5). Let f(r) = -r - 1. List the prime factors of f(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -483\/4 bigger than -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 4664*q**2 - 4664*q**2.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.9629 * -0.4.\nAnswer: 10.78516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5\/3802, -4\/3, 2\/5 in descending order.\nAnswer: 5, 2\/5, -5\/3802, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -84078 divided by -6\nAnswer: 14013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1332 (c) -0.901 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -56, -2, -0.3 in decreasing order.\nAnswer: 1, -0.3, -2, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*z + 14, 4*s = z + 3*z + 4. Suppose 158 = 3*k - k - 2*w, 0 = -2*k - z*w + 173. Suppose a + a = 4*c + k, -5*c - 20 = 0. Is 19 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 5*g, 5*l + 4*g - 17 = 3. Suppose 0 = 5*b - 73 - 167. Suppose -f = 2*f - b. Calculate the greatest common divisor of l and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -850278129 to the nearest ten thousand.\nAnswer: -850280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlb when three letters picked without replacement from {n: 1, l: 1, r: 3, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h - 5*h**3 + 4*h**3 + 9*h**2 - 54*h.\nAnswer: -h**3 + 9*h**2 - 90*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17626*i**2*s**2*w**3 - 2*i**2*s**2*w**2 - 2*i**2*s*w - 185*i*s**3*w**2 - 6*s**3*w**3 - 66*s**3*w**2 - 7*s**2*w wrt w.\nAnswer: -105756*i**2*s**2 - 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*y = 63*y + 60. Let k = 359 + -254. Suppose 2*u = -3*u + k. Is y >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*d**3\/3 - 115999*d**2 + 1261456500*d + 473062500.\nAnswer: (d - 21750)**2*(8*d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 + o**2 + o + 3. Let n be c(3). Let q be -1*(-20)\/(-15)*(-6)\/8. Does 8 divide 2*n\/(-6) + q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -2298 (b) 1\/4 (c) -1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-116)\/(-116)*16\/2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -5*q - 11. Let x(c) = 7*c - 2. Suppose 0 = -9*t + 10*t + 1. Let j(u) = -u. Give q*j(d) + t*x(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 386 = -50*b. Solve 0 = 5*u - 3*v - 4, -3*u = -4*v + 5*v + b for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.01 * -7.\nAnswer: 406.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 34 + w - 57 - 9 - 45 as k*w + d*w**2 + m and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -697 divided by -11?\nAnswer: 697\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 257\/826 - 3\/118. Let n be (2 - (-24)\/(-9)) + 0. What is the closest to -1 in 0, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00185144 rounded to five decimal places?\nAnswer: 0.00185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2364 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 s(d) = -2. Let n(i) = -i. Let f(r) = 3*n(r) - s(r). Let u be f(0). Suppose 2*m + u*z + 4 = 0, -m - 3*z = 4*m + 4. Solve 2*t + 5 + m = 0, p - 2 = 2*t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = -5*m + 3*s - 2*s, s - 61 = -m. Suppose 0*b - 4*r = -3*b - 157, -5*b - 300 = r. Let y = 0 - b. Do m and y have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76689.74 + -79191. Let d = 2476 + o. Let x = -26 - d. What is x rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 62492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3, 5*n + 3*q + 22 = -12. Let o be n - -7 - (-2)\/(-1). Suppose 4*i - i + 3*g = o, 5*g + 2 = -3*i. Are 1 and i non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43037606.\nAnswer: 2, 21518803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 21. Let f(y) = -y + y + n*y**2. Let r(g) be the third derivative of g**5\/30 - g**2. Determine f(r(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2212 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, f: 4, u: 1, y: 3, j: 5}. What is prob of picking 2 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/4*((-352)\/(-12))\/(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 2 + 2)*(32 - 303 + 2)*(-2*p + p + 0*p).\nAnswer: 538*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*t**2 - 31*t**2 + 2*t**2 + 3.\nAnswer: -16*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22882174 and 616.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from fsfgxlyxggsx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2. Let t(w) be the third derivative of i + 0*w**3 - 1\/12*w**4 + 0*w - 2*w**2. Let n(k) = 2*k. Give n(t(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 102997963 - 31458037 = 0. Suppose 0 = -17*b + 10*b - a. Round b to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.54, 0.2, 36162.92?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -25.\nAnswer: -7\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n**3\/n)\/(n**(-4)*n**(4\/13)))**(2\/49) assuming n is positive.\nAnswer: n**(148\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + f**3 + 856*f + 19 - 3*f**3.\nAnswer: -2*f**3 + 856*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-390) - 54\/(-180)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 8. Let z(u) = u + 1. Determine k(f) - z(f).\nAnswer: 4*f - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4272\/1237 or 2?\nAnswer: 4272\/1237","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9868 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 28, -3*n - 10*h + 12*h + 38 = 0. Suppose -4*p - 30 = -3*v, -2*v = -0*v - 4. Sort 5, p, n in descending order.\nAnswer: n, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 170\/7*g - 1\/7*g**2 - 7225\/7 = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -221, -358, -493?\nAnswer: -626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1485)\/30)\/(-11) + 147\/(-6) - 4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833484 to the power of 1\/2, to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(0 + -6*2*sqrt(242)*6*2))**2.\nAnswer: 47520*sqrt(2) + 45163033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 6. Let u be 3 + 0 - (-2 - -4). Suppose p - 5 + u = 0. Let v be b(p). Solve -t + q - 1 = -3, -v*t = -4*q + 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.581 + -0.419. Suppose -5*q - 205 = 9*p - 4*p, -3*q + 4*p = 158. Let t = 139\/3 + q. What is the closest to u in 2\/3, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 4*k + 8, -5*q = -6*q - k - 4. Let g(n) = 202*n**2 - n. Let l be g(q). Suppose 3*u - l = 4. Calculate the remainder when u is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3259083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 53 = 5*n, 4*g - 27 = -5*n + 20. Let w(d) = -d**2 + 10*d + 14. What is the smallest common multiple of w(n) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -15 + 7*b**3 + 30 - b**2 - 14 - b. Suppose -5 + 2 = -v. Suppose 0 = h - v*h + 2. Give g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 6:27 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161.2616 minutes in hours?\nAnswer: 19.35436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 783, 0.2, 2, 2\/7, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 12. Let p be c(9). Suppose p*t - 5*m = 65, 5*t = -2*m + 77 + 83. Does 15 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**5 + 132*w**4 + 600*w**3 - 6448*w**2 + 14688*w - 10368.\nAnswer: -4*(w - 36)*(w - 2)**3*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -33*n**4 - 3*n**3 - 3*n. Let y(o) = 32*o**4 + 2*o**3 + 2*o + 1. Let r(m) = 2*d(m) + 3*y(m). What is the derivative of r(q) wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*m**2 - 544*m + 144*m**2 + 734*m + 830*m - 291*m**2 as n + f*m**2 + a*m and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -582, -923, -1284, -1671?\nAnswer: -2090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(81)*-2))\/(-2*sqrt(6)\/(3*sqrt(3))) + -2)**2.\nAnswer: -sqrt(7) + 71\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*d + 2*d - 68, 0 = 4*y - 5*d + 299. Let z = -1.00299 + 0.00299. Sort y, -5, -1\/12, z in descending order.\nAnswer: -1\/12, z, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.00315269721 rounded to six decimal places?\nAnswer: 0.003153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose -5*s + x*s + 6 = 0. Let v be (-9)\/s - 1\/(-2). Sort 2, 3, v in decreasing order.\nAnswer: 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3289365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 11*k**2 + 9*k + 8. Let d be q(-1). Solve 5*s = d*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*k = -s - 1831, -5*s + 4*k - 9260 = 0. Is s\/(-5) - 5\/25 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 111158 or 111160?\nAnswer: 111160","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -116. Suppose -u*a + 524 - 150 = 0. What is the remainder when a is divided by (2\/5)\/(1\/95)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6345285 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by 77971.\nAnswer: 8\/77971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -m. Let u(y) = -22*y + 48. Let v be u(3). Let l(h) = 4*h + 23. Let b be l(-7). Put m, b, v in ascending order.\nAnswer: v, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2011.671121 to the nearest ten.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 + 3*v**2 + 2*v + 62. Let r(z) = 5*z**3 + 4*z**2 + 2*z + 62. What is -3*r(j) + 4*w(j)?\nAnswer: j**3 + 2*j + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -483959\/24 - -20165. Let l(m) be the second derivative of 0*m**2 - 1\/84*m**7 + h*m**4 + 21*m + 1\/40*m**5 + 0*m**3 + 0 - 1\/60*m**6. Factor l(p).\nAnswer: -p**2*(p - 1)*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2. Let a(m) be the third derivative of 7*m**6\/360 + 7*m**3\/2 - 9*m**2. Let w(b) be the first derivative of a(b). Determine v(w(p)).\nAnswer: -147*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*114.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 182 + 178 + 7790*z - 1655*z - 548 + 186 in the form w*z + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 1 + 1)*(3 + 0 - 5)*(283*p - 283*p + 7*p**3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 2, x: 2, e: 2, f: 1, s: 1}. What is prob of sequence xe?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - r + 3 - 72, 3*r + 135 = 4*x. Solve -162*q = -156*q - x for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 8*u**2 - 2*u + 18. Let k be q(-8). Find the first derivative of k*l + 48 + 15*l - 28*l wrt l.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*h - 48 = -105*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 4925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30123 (base 4) to base 10.\nAnswer: -795","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s + 2*s + (2 - 6 + 3)*(0*s + s - 5*s))*(3*s - 8 + 11 - 4) in the form u + n*s + m*s**2 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*j**4 - 316*j**4 - 314*j**3 + 0*j + 4*j - 3*j as w*j**2 + t*j + d*j**4 + u + c*j**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgn when four letters picked without replacement from {g: 3, v: 6, m: 4, e: 1, i: 1, n: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7489201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 45.4. Let v = r - 7.9. Let p = v + -6.3. What is the smallest value in p, -2\/15, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 4*w + w)*(-w + 1 + 2*w**3 + w) - 17*w**4 - 1355*w**2 + 1355*w**2 + 0*w**4 - 2*w**4 + 5*w**4.\nAnswer: -10*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, y: 8, q: 4}. Give prob of sequence qqyq.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5696*u*y - 74*u - 2953216*y wrt u.\nAnswer: -5696*y - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -12003?\nAnswer: -12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**3 - 2*r**3 - 2*r**3)*(-902 + 410 + 451) + 0*r + r - 5*r**3 + r**3 in the form m*r + a + i*r**3 + j*r**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 - 9 = 0. Let u(q) be the second derivative of q**4\/12 - 2*q**3\/3 - 17*q**2\/2 + 38*q. Let m be u(7). Solve -m*b - 24 = -a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1397875447 to the power of 1\/2, to the nearest integer?\nAnswer: 37388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6}. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/135 + 3 + 26\/(-10). Let r = -8 + 6. Let d = r + 2.1. Put t, d, -1\/4 in ascending order.\nAnswer: -1\/4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4*g - 9 = 0. Solve -c + 0*c = 2*w - g, -5*w = c - 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 4:00 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z + 8 - 4 + z. Is a(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -20. Let s be 2\/5 + 6\/g. Let q(a) = 10*a**2 + 131*a - 280. Let c be q(-15). What is the closest to -1 in -1\/3, s, c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33027305 is divided by 2609?\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z + 3. Let j(x) = 133*x + 5058. Let w be j(-38). Let u(o) = 2*o + 3. Calculate w*q(y) - 3*u(y).\nAnswer: 6*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x + x - 6*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 118, -46, -2\/3?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a. Let z(s) be the first derivative of s + 6. Let w(l) = 4*x(l) - 5*z(l). Give w(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6304 divided by 3152.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -28.3. Let p = -28.00004 - x. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 5*k - 4. Let h(v) = -v**2 - 1. Let a = 376 + -352. Suppose 1 + a = -25*r. What is r*n(j) + 4*h(j)?\nAnswer: -j**3 + 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + i + 0*i = 81, -j + 3*i + 17 = 0. Is j >= 85\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107274 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfw when three letters picked without replacement from zfzgnbnwfgbg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 7) in base 3?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**4 - 3*z**3 + 39*z**2 + 75*z + 36 = 0. Calculate z.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 5*u + 10 = 5*d, 2*u + 4 = -3*d. Suppose d = t - 5*v - 14, 0*t - 5*v - 6 = t. Suppose -q = -4 - t. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438768367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 435?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:12 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 379958970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-19872)\/(-400))\/(-46) - (1 + -2)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/8 - 152\/192. Let v be (99\/(-15))\/3 + 2. Sort 3\/8, v, q in increasing order.\nAnswer: q, v, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/30 - (-278)\/(-84). Let y = -109\/28 - v. Which is the nearest to -1? (a) y (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1845\/(-410))\/(2\/4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31812 - -1.0142864.\nAnswer: -31810.9857136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 183695519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6 - (-4)\/12*3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 28 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 2. Is b at most -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*y + 35 + 205. Let f be ((-12)\/(-8))\/(y\/(-50)). Let q be 0\/(-1) - 0 - -3. Solve -q*o = -a - 6*o + 7, -a + 3*o = f for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11 - (-3)\/(-1) - 3. Suppose -29 + 9 = -x*d. Put 3, d, -2 in increasing order.\nAnswer: -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8468 divided by 124\nAnswer: 2117\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 8*t**2 - t + 5. Let o be u(8). Suppose 0 = -18*v + 15*v + 423. Calculate the remainder when v is divided by 2\/o - 5*40\/(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -524, -2116, -4768, -8480?\n\"Answer: -530*f**2 - 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113673565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 12:16 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 45*d + 1542 = 0. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 10*l**4 + 2*l**3 + 4*l**2 + 4*l - 326. Let t(h) = h**4 - h**3 - h**2 - h - 1. Let q(i) = 4*t(i) + v(i). Differentiate q(r) wrt r.\nAnswer: 56*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4281000 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -119404.537 rounded to the nearest ten?\nAnswer: -119400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/9 + (-32)\/6. Let d be 3\/n - (-12)\/(-40). Suppose -4*s = -s. Is s greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -156.2 and 0.3?\nAnswer: 156.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 7\/5 (c) 152 (d) 5 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 14*p + 6*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**15)**(-2\/5)\/(q\/q**(1\/35)*q**(-16)) assuming q is positive.\nAnswer: q**(316\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 54*r**2 + 319*r + 51. What is h(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (4 - 36) - (-76 - -59).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.32 * -522075.\nAnswer: -2255364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 3*o + 12, 5*s - 4*o - 32 = s. Let l be (10\/s)\/((-5)\/(-45)). Determine r so that -12*r**4 + 5*r**2 - 6 - 2*r**2 + l*r**4 - 9*r + 9*r**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -73*s**3 - 28*s**2 - 3*s + 6. Let k(a) = 2*a**3 - 7*a**2 + 2. Determine 3*k(n) - m(n).\nAnswer: 79*n**3 + 7*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, y: 1, h: 8, b: 5}. What is prob of sequence nb?\nAnswer: 25\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 24*t**2 + 39*t - 18.\nAnswer: 3*(t - 6)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12*w - 42 = 0. Let p be 2 + 160\/(-44)*(-3)\/w. Sort p, 1\/4, 0.4, 10 in ascending order.\nAnswer: p, 1\/4, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/19268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 257054958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 5)*(13*h - 10*h + 4 - 7*h).\nAnswer: 24*h - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**6\/1080 - k**5\/180 - k**4\/72 + k**3\/6 + 3*k. Let z(g) be the second derivative of f(g). Let z(l) = 0. Calculate l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:38 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3648 + 7468. Suppose 0 = 63*t - 56*t - 45003. Let n = t - m. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -217 + 207 - (-25 + -2 + 6 + 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 3*l + 293 = -3154, -5*h - 2*l = -5748. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:57 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 1\/2, 0.1, -0.07, 0 in ascending order.\nAnswer: -0.07, 0, 0.1, 1\/2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**3 + 10*h**2 - 14*h + 12. Let u(g) = 2*g**3 - 10*g**2 + 14*g - 13. Let d(t) = 7*f(t) + 6*u(t). Factor d(w).\nAnswer: -2*(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-132)\/(-48))\/((-1)\/(-20)). What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4))**(-11)*f**(3\/5)*f**(-1) assuming f is positive.\nAnswer: f**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 9 = -2*x. Let l = 8 - x. Let p be 5*-1 + (-10)\/((0 - -1) + -3). Put -5, l, p in descending order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {x: 2, g: 1, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5 - 1076*o**4 + 33316*o wrt o?\nAnswer: 60*o**3 - 12912*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1084932831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -3, 13\/2, 2\/11 in ascending order.\nAnswer: -3, 2\/11, 0.5, 13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, 216, 865, 2126, 4203, 7300, 11621?\n\"Answer: 34*c**3 + 3*c - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3424747824 to the power of 1\/3, to the nearest integer?\nAnswer: 1507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1818\/30)\/(-6*7\/(-19110)) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291767 is divided by 48609.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/433 or 1?\nAnswer: -6\/433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.48 - 2.88. Let s = -32 + r. Which is the closest to 1? (a) -6\/11 (b) s (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 18008*s + 234. Let a(z) = -6003*z - 72. What is 13*a(h) + 4*i(h)?\nAnswer: -6007*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-30 - -14) + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -15, -4, 6 in ascending order.\nAnswer: -15, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -15. Let i(y) = 3*y**3 + 3*y**2 + 3*y + 16. Let h(u) = u**3 + u**2 + 3*u + 16. Let v(s) = 5*h(s) - 4*i(s). Is v(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8646?\nAnswer: 2, 3, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2488 is divided by 840?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 44*n. Let m = 5 - 25. Calculate the remainder when q(1) is divided by (-4)\/(5 + 105\/m).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 5 = 21 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 t when four letters picked without replacement from tttttttettttetettee.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/4 + 107\/20. Which is the biggest value? (a) -5 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -245 - -21?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 578 + -571. Solve 6*i + 3 = 5*i + 5*q, 4*i - q = f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cninccicnniinn. What is prob of sequence ccci?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178763.\nAnswer: 3, 17, 29, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 3*i + 1 + 1\/2*i**2. Is 3 a factor of f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2548*c = -2543*c - 6*v - 70, -2*v = -2*c + 28 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -116090?\nAnswer: -24\/58045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqvuuppipieie. Give prob of picking 1 i and 1 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 + 71 + 38*b**3 - 220*b + 222*b.\nAnswer: 38*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnccwcjjccjjwcwjjnn. Give prob of sequence nnw.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -2\/35, 1, -16, -1\/7, -0.06?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70747, 72057, 73367?\nAnswer: 74677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3 - 12*n - 6*n**2 - 38 + 3\/4*n**4. Factor j(k).\nAnswer: 3*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**5 - 48 + 48)*(7 + 4 - 16).\nAnswer: -25*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-14))\/((-272)\/2856*(-18)\/(-5))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - 2*o - 6. Suppose 3*j - j = 2*u - 4, 6 = -u + 5*j. Let r(i) = 3*i**2 - 3*i - 7. Give u*r(q) - 5*v(q).\nAnswer: 2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 351 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -87b15?\nAnswer: -87b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {i: 1, l: 1, p: 3, f: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b + 65. Let t be (7\/21)\/(1\/48). Suppose t = f + x, -4*f - 8*x + 3*x = -67. Calculate the greatest common divisor of b and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -f + 18, 4*f - 5*o + 32 = 107. Let w = f - 16. Solve w*y - 27 = 5*a, 3*a + 21 + 0 = 4*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 39*j**2 - 63*j + 5. Let b be f(-42). Let d = b + 3859. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43358.68 and 3.8?\nAnswer: 164762.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbbbbbb. Give prob of picking 4 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*r - 5*d - 60, 3*r = -4*d + 60. Suppose 0 = -3*v + 5*o + 190, -4*o - o + 110 = 2*v. What is the highest common divisor of v and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3 + 0 - 2 + 8*q + 22*q. Let t(l) = l**2 + l - 1. Let g be t(-2). Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76816.\nAnswer: 2, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38143 + -38135. Factor -64\/3*n + 10\/3*n**3 + 2*n**2 + z.\nAnswer: 2*(n - 2)*(n + 3)*(5*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 - 33449*a - 1118835601\/2.\nAnswer: -(a + 33449)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5180 + -822. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/2*o**2 + 2*o - 11\/2.\nAnswer: (o - 1)*(7*o + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -2, 7\/10?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -14 - (4 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 3 = -7*r, -22 - 16 = -9*m - r + 22 - 43 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k**3 + 3*k**2 - 6*k + 1. Let f be t(4). Let c = f + 2094. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31437968 smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + 4 - 6 - 7*v + 2*v**2)*((-v + 0*v + 0*v)*(v - 3*v + 0*v) - 368701*v - 1 - 380*v**2 + 368701*v) as f*v + a*v**3 + n + h*v**4 + b*v**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 195*l**2 + 2862*l - 590. Calculate j(-179).\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -131725.\nAnswer: 1\/131725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -110221 (base 3) to base 15\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 19130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 232 - 261*j + 509*j - 257*j. Calculate the remainder when 1377 is divided by n(13).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/5 + 18472*f**2\/5 - 22144*f + 147584\/5 = 0 for f.\nAnswer: 2, 4, 4612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 5*z**2 - 6*z + 3. Let a be r(-6). Suppose 5 = -8*k + a*k. Let o = 56 + -278\/5. What is the second biggest value in o, 1\/3, k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 0.1 (c) 3 (d) 2 (e) -3.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2, -6, -10, -14, -18?\n\"Answer: -4*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 1 - 4 = 0, 0 = -3*z - 5*h + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1667451 divided by -25?\nAnswer: -1667451\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -320, -487, -660?\nAnswer: -839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2405 = 4*p + 933, 4*p = 2*h + 1464. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5\/4 - -15\/4. Let o = -437\/6 + 73. What is the second smallest value in o, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -2\/5, 4, -39, 0.6 in descending order.\nAnswer: 4, 1, 0.6, 0.4, -2\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 l when two letters picked without replacement from {l: 2, c: 2, t: 7}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -241 + 437. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2380.50592 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*14\/(-539) - 51\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/19 + 2 + 2 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10)\/(73\/365)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 - 53*a**2 + 58*a - 38. Give x(-7).\nAnswer: -3727","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:05 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39, 89, 139, 189, 239?\n\"Answer: 50*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6292.023m?\nAnswer: 6292023000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1673)\/(-441) - 4 - 4\/18.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5265237.\nAnswer: 3, 719, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5 + 4 - 3 - 5 + 2*j**2. Let s be f(1). Suppose -60 = -4*t + 4*o, 5*o = s*o. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1) + 27 + -21 + -29.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3873 and 6.\nAnswer: 7746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14358 = 2*b - 89*i + 88*i, 0 = b - i - 7178. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 + -0.5. Which is the nearest to 0? (a) h (b) -0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112860468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -2*n. What is the second derivative of -4*s**3 - 2 + 6 + 13*s + 2*s**3 + 8*s**2 - n wrt s?\nAnswer: -12*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n + 5*n + n**2 - 2*n + 1. Let s(g) = -2*g**2 - 7*g + 9. Let j(z) = s(z) + x(z). Let p be j(-9). Solve -5*t = -p - 9, 0 = 2*o - 4*t + 18 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2833015 is divided by 1495?\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m - 2*m**3 + (11*m**2 - 8*m**2 - 5*m**2)*(m - 2*m + 2*m) + m**2 + 2*m**3 - m**2.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4. Let y be n(3). Let k be (-1)\/1 + -58 + y. Let p = -22 - k. What is the greatest common factor of p and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2251 - 2246. Let a(u) be the first derivative of 0*u**4 + 13\/5*u**q + 0*u**3 + 9*u**2 - 14 + 0*u. What is the second derivative of a(c) wrt c?\nAnswer: 156*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642061 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -30, -46, -68, -96, -130, -170?\n\"Answer: -3*d**2 - 7*d - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44120861.13 rounded to the nearest one hundred thousand?\nAnswer: -44100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661033 is divided by 38853.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -640?\nAnswer: 628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w)*(-5 - 2 + 3)*(-1 - 1 + 0 - 4 + 2 + 3 + (3 - 2 - 3)*(3 - 2 - 3) - 6 + 4 + 31).\nAnswer: 128*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.61 plus 0.03?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + 9 + (12 - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*i - 0*i - t, 5*i = -t - 2. Suppose i = y - 4*y + 9. Find the second derivative of -2*c**5 + 2*c - 7*c + y*c wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 219, 444, 681, 936, 1215, 1524?\n\"Answer: w**3 + 218*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nmrcz. Give prob of sequence rzc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14216.8354 to the nearest one hundred.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let t(j) = -j - 6. Let h be t(f). Put h, -2, 6 in ascending order.\nAnswer: -2, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 27. Calculate the highest common divisor of 84 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119 - 12*q - 11*q - 385 - 26*q - 125.\nAnswer: -49*q - 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1433, -1421, -1409, -1397, -1385?\nAnswer: -1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = -2*d. Let s = 867 + -863. What is the fourth biggest value in 0.1, s, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025408325 rounded to 5 dps?\nAnswer: 0.02541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = 4461*u - 4432*u. Sort -0.5, 7\/5, u in decreasing order.\nAnswer: u, 7\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -83*d - 1. Let t be p(1). Let w = -50 - t. What is the remainder when w is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mdccmqiicqmiqud. Give prob of picking 1 d and 3 i.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 + 7*j + 3. Let y = 109 - 111. Let v be m(y). Solve 15 = -2*c + v*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5770 - -747. What are the prime factors of w?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzuzzzzzzzuuuu. Give prob of sequence zuuz.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*x**5*y**2*z - 6*x**4*y*z + 2*x*y**2*z + x*y**2 - x*y*z + 3*y**2*z wrt x.\nAnswer: 120*x**3*y**2*z - 72*x**2*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*t + 5 = 44*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -4. Let r(m) = -m**2 + 16*m + 21. Let v be r(17). Let y(q) = -v + q - 21*q**2 + 22*q**2 - o*q. Calculate y(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3220)\/(-90) + 4\/18 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gjn when three letters picked without replacement from {f: 3, s: 2, n: 1, l: 9, j: 2, g: 1}.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*g + 7*g. Let t(h) = -h**3 - 9*h**2 - 10*h - 10. Let x be t(-8). Let b = -250 - -253. Solve x = -b*u - g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15407456?\nAnswer: 2, 83, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.768126 milliseconds?\nAnswer: 0.005768126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -1362488?\nAnswer: -2724976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 222b - -1?\nAnswer: 222c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.1018 - 0.6938. Round h to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154113?\nAnswer: 3, 47, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -9\/7. Suppose -150 = -5*x + 60. Let u be (-1 - 0) + 30\/x. What is the nearest to l in -1, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 + 3 = 0. Let s be f\/(-1 + (-4)\/(-5)). Let g(k) = -2*k + 17. Let q be g(12). Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -133201*c - 932874. Calculate z(-7).\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*x - 4*w = -79*x - 56, 0 = 39*x - w - 186 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8791 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**2\/x)\/x**(-7\/8)*(((x*x*x*((x\/x**0)\/x)\/x*x*x)\/x)\/x)**28 assuming x is positive.\nAnswer: x**(471\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -1. Let u = 4.13 + -0.13. Let y = 5 - 7. Sort y, d, u in ascending order.\nAnswer: y, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:15 PM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, -0.5, -20, 4\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 28.0186869.\nAnswer: -28.2186869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 287 = 53*f. Does 19 divide (-9)\/((-36)\/1376) - f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 - 3)*((4 - 1 - 1)*(-111*j**3 + 1063 - 1063) + (4*j**2 - 3*j**2 - 2*j**2)*(-2*j - 5*j + 5*j)).\nAnswer: -1760*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 5:39 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 585419879 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 34 = -22. Suppose 4*h = p + 9. Suppose 3*i = h*c - 684 - 2736, 2*i - 3425 = -3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33285920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -2\/25 (c) 2.64 (d) 5\/3 (e) -0.4 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 9:17 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2524853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 13*z. Let c be (-260)\/(-50)*5\/2. Let u be i(c). Suppose 5*y = -u*y + 195. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*i**5 + 148*i**4 + 408*i**3 + 456*i**2 + 220*i + 36 = 0. Calculate i.\nAnswer: -9, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.9 + -0.1. Let x = -14.8 - b. Let u be 8\/(-9) - (-6)\/9. What is the nearest to -0.1 in 2\/13, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 136.726 (b) -13\/15 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 39 = 3*d. Let c = -118 + 235. Suppose 0 = k + 2*k - c. Calculate the highest common factor of k and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 78 = j + 66, -5*j - 6 = 2*h for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10022 (base 6) to base 9\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-1*(-3)\/20)\/3)\/(24\/40)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 5*r - 3*w, 3*r - 2*w + 4*w = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 3:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 6*w**2. Let s be f(6). Suppose s = 4*t + 4, 4*g - t + 6*t = -2880005. What is g rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d - 21*d + 14 = 2*u - 8, 5*u = 45. Let y(z) be the third derivative of 11*z**4\/24 - 2*z**2. Determine y(d).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(347 - 758 + n + 290) to the form r*n + a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from kqkqqqqqkk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 5*z**3 + 2*z**3)*(-z + 4*z - 2*z)*(-12*z + 24*z + 35*z) + 2*z**5 + 5*z**5 - 6*z**5.\nAnswer: 95*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z\/z**1*z)\/z*z*z**(-1\/7)*z*z)**2)**(-1\/4))**(12\/11) assuming z is positive.\nAnswer: z**(-162\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*i - 17 = 0, 0 = -0*z + 4*z + 4*i + 36. What are the prime factors of (-8)\/((-2)\/z*-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 711 and 79?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15642, -31285, -46950, -62649, -78394, -94197, -110070?\n\"Answer: -2*c**3 + c**2 - 15632*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.3 (b) -10604 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 48. Let y = x - -12.4. What is the third biggest value in y, 1\/5, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51 - 50?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -203, -413, -613, -797, -959, -1093, -1193?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 248, 372, 496?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10631669 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 13 - (32 - (59 + -27)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 25. Let p(i) = -3*i - 12. Let h(t) = -3*k(t) + 7*p(t). Let f(m) = 5*m - 4*m - 2*m - 4. Give 9*f(o) - 4*h(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/10 + (-15589)\/(-4454))*(-80)\/(-6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*2.661\nAnswer: 4.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 4*f - 1. Let a(i) = -i**3 + 4*i**2 - 3. Let t be a(4). Let o be n(t). Suppose -g - 26 = -5*z + o*g, -8 = 4*g. Solve w = -z*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-30) + (-7)\/(210\/(-4))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -183.\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**4\/8 - 14*q**2 - 14. Let g(n) be the second derivative of i(n). Give g(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 255*b**2 + 680*b. Let m(a) = 19*a**2 + 50*a. Let z(l) = -68*m(l) + 5*n(l). Let d(j) be the first derivative of 2*j**2 + 2. Calculate z(d(x)).\nAnswer: -272*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwri when four letters picked without replacement from wqqitigirttt?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 1179*n + 5885. Determine h(-6).\nAnswer: -1189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 1515 = k + 1433, -2*m + 52 = -5*k for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(5\/(-3) - -1). Let s = c - -5. Solve 3*p + 7 = s*u, -5*u = p - 3*u + 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 73 = -132. What is the common denominator of (-97)\/60 - (40 + v) and 14\/27?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 33*x - 72.\nAnswer: -3*(x + 3)*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138900109.\nAnswer: 37, 241, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -10*c + 7*c. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4796891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6))\/((-14567)\/(-1617) + -9). What is the greatest common factor of q and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340324683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 2)*(-q**2 + 50174*q - 21 - 50174*q).\nAnswer: -2*q**3 - 42*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 10:49 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 37\/74*20\/(-2). Let a(m) = 4*m**3 + 0*m - 4*m - 22 - m. Let s(l) = -l**3 + l. Let z(n) = q*s(n) - a(n). What is the derivative of z(p) wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + i**2)*(4*i - 3*i + 2*i) + i**3 - 3*i**3 + 22 + 2*i**2 + 5*i**3 in the form w*i + x + r*i**3 + p*i**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*k = 728, v - 364 = -v - 2*k. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-10))\/(1104\/220 - 6\/(-33)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7160 + 3?\nAnswer: 7163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 562527 and -36.9258246.\nAnswer: 562490.0741754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31041000 rounded to the nearest 100000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 102917 = 4*v - 102949, 0 = 7*a + 5*v - 121 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l - y + 317 = 0, -2*l + 162 = 4*y. Calculate the highest common divisor of 79 and l.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47, 46, 35, 8, -41, -118, -229, -380?\n\"Answer: -c**3 + c**2 + 3*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 18\/37109, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 447.1 - 492. Let y = j - 51.7. Let k = y - -97. Which is the third smallest value? (a) k (b) 5 (c) 1\/4 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8437 and 14787760.\nAnswer: 162665360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 + 4 = 0. Let m = t + -3. Suppose m + 22 = 3*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41239 divided by -5?\nAnswer: -41239\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1932900 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1603 in 1, -0.2, -0.3, -2.108?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5224 - 5235. Put t, 0.2, 160 in increasing order.\nAnswer: t, 0.2, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 2 + 3 - 3 + (-11 + 11 - 6*y)*(0*y**3 - 3*y**3 + 5*y**3).\nAnswer: -10*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 1\/(-2)*6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(1\/(-6)). Suppose 0 = 3*k + l*a - 294, -2*a = 3*a. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (360770\/3)\/((-14)\/(-987)). Let u = 16320332064\/1925 - l. Let r = -2\/275 + u. Which is the third biggest value? (a) 1\/3 (b) r (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 792 - 2*v + 0*v - 721 - 703 + 2313 in the form f*v + r + p*v**3 + l*v**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**12\/l**(7\/5)*l**1*l*l*l**11*l*l assuming l is positive.\nAnswer: l**(133\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/344 and -7\/5444.\nAnswer: 468184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 29 = 4*u - 10, 1 = -5*t - 4*u. Solve -t*d - 3*x + 6 = -2*x, 21 = 4*d - 3*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162 - 89. Let x = -298 - -381. Suppose 5*l + h - x = 0, -l = -6*h + 9*h - 25. Calculate the remainder when i is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.2. Let d = 0.1 - 0.6. Let h = r - d. Which is smaller: h or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2, -157.7 in descending order.\nAnswer: 2, -4, -5, -157.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flzhhyyylfyvhyhyy. Give prob of picking 1 z and 1 y.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.84 + 1.16. Which is the nearest to o? (a) 0.1 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3935372343?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -128 - -113f?\nAnswer: 1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u + 37. Let z be x(6). Which is greater: z or 14\/41?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 + 0*c**3 - 3*c**3)*(-2 + c**2 + 2) + c**5 - c + c + (3 - 3 - c)*(0 + 2*c**4 + 0) - 5*c**5 + 16*c**5 - 4*c**5.\nAnswer: 5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*g - 5*m, g + 30 = -2*g - 4*m. Let f = 11 + g. Solve 0 = -d - 3*r - 2*r + 2, -8 = -4*d + f*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/175 + 97*u**6\/150 - 1199*u**5\/150 + 38*u**4 - 348*u**3\/5 + 8*u**2 + 6*u + 11. What is x in a(x) = 0?\nAnswer: 2\/3, 3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**3 - 4*v + 4*v)*(v + 0 + 0)*(22*v + 55*v - 42*v).\nAnswer: -245*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -5 (c) 2 (d) -1.28 (e) -8 (f) -4\/3 (g) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -226\/9, 2\/5.\nAnswer: -226\/9, -5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -4304?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 7. Suppose 3 + 42 = 3*l. Let p = l - j. Solve -6 = 2*a - g - g, 0 = -2*a - 5*g + p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5855 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 s(g) = 271*g**2 + 2*g. Let f(y) = 137*y - 1. Determine s(f(a)).\nAnswer: 5086399*a**2 - 73980*a + 269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.31 + 0.01. What is the fourth biggest value in c, 4, -2\/9, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212220032 - 2?\nAnswer: -212220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1272.148 decades to centuries.\nAnswer: 127.2148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/7 - (-1 + 1). Let z be 116\/(-10) + (-28)\/70. Let o be 4\/(z\/(-3)) - 2. Is o at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*f + 159, -i = -f + 15 + 65. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 10) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465517, 931032, 1396547, 1862062, 2327577, 2793092?\nAnswer: 3258607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 2.02\nAnswer: 0.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*u - 5*g + 3, -2 = 4*u - 3*g. Calculate the remainder when (-222)\/(-4) + 2\/(-4) is divided by 17 + 1 + u + 0.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-5)\/(-75))\/(192\/16320)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.2 (c) -14.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -3*m + 27. Which is the fourth biggest value? (a) 23 (b) m (c) 1\/4 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 3*k + 2. Suppose 1 = t - r - r, 0 = 5*t + 3*r - 5. Let p(o) = -o**2 + o. Let f(i) = t*d(i) + p(i). Determine f(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 90\/133 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 14*d**3 - 4*d - 12*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -15b26 (base 15) in base 5?\nAnswer: -4220021","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 70*v**3 - 3*v**2 + 15*v wrt v?\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 8*g - x = 40, g + x - 17 = 0. Let r(d) = -41 + 10 + g*d + 16 + 13. Let s(y) be the first derivative of -y**2\/2 + 3. What is r(s(f))?\nAnswer: -19*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 263140 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49608*p + 26369*p + 5849*p.\nAnswer: 81826*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(-106) + 34\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5621001 >= -5621001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 5 = 2*n - 11*v, 3*v = 7*n - 50. Sort n, 24, 3 in decreasing order.\nAnswer: 24, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -7*b**3\/3 + 13. Let m(g) = 12 - 8 - 4 + 3*g**2. Give m(r(j)).\nAnswer: 147*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**(-1\/5))*i*i)**(12\/13)\/(i**3*i**(-10)))**(2\/43) assuming i is positive.\nAnswer: i**(1006\/2795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -109 (b) -0.5 (c) 0 (d) 0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n. Let p(t) = t**2 + t - 1. Let u(s) = s - 1. Let r(y) = 3*p(y) - 3*u(y). Calculate r(l(b)).\nAnswer: 75*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684936721 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13689 and 6156.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*u + 1081*u = 914 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2664582305\/178 + -14969524. Let k = m + -1\/89. Calculate the common denominator of k and 1\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -8*k - 3. Let h be n(-1). Suppose 0 = 7*g + 23 + h. What is the second smallest value in g, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2328 and -89\/591700.\nAnswer: 3550200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(1*sqrt(5)))\/sqrt(2)*-2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1080 by -3.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 + 122. Calculate the greatest common factor of 38 and o.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2442323643 + -1?\nAnswer: -2442323644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(-8*q**2 - 4*q + 4*q) + 93*q + 0*q**2 - 2*q**2 - 95*q + 3.\nAnswer: 6*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 4:07 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*i = -6*i + 1, -2*i + 9 = -3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 40 = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.87 - -1.8701224. Round f to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -15632\nAnswer: -1\/7816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000988 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51037739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 - 8*c + 3. Let t be j(5). Let s be ((-1)\/2)\/(21\/(-14))*39. Let p(k) = t - s - k**2. Let u(h) = 6*h**2. Determine p(u(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19922 is divided by 266.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/395952 or 0?\nAnswer: 1\/395952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 2*y - 5. Give s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17)\/(((z\/z**6)\/z)\/z)*((z\/z**(-2\/5))\/z*z)**41)\/(((z*(z\/(z\/(z**(-3)\/z)))\/z)\/z**(-3\/2))\/(z\/z**(2\/5)*z*z*z**1)) assuming z is positive.\nAnswer: z**(2401\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q. Let l(n) = 464*n - 96. Let p(f) = 93*f - 20. Let z(o) = -5*l(o) + 24*p(o). Calculate m(z(r)).\nAnswer: 704*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8320*n**3 + 3*n**2 + 8344*n**3 + 14 - 14.\nAnswer: 24*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3395574 by 6.\nAnswer: 565929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 260\/(-30) + (-66)\/44*(-32)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i + 35290 + 48005. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-7 - (4 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1128 and -4.6.\nAnswer: -5188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15816384 to the nearest integer?\nAnswer: 3977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (51 + -56)\/((-2)\/88). What is the greatest common factor of q and 560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 2\/29411, 3.\nAnswer: -4, 2\/29411, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(792\/(-405)) + 3\/8. Solve 0 = 3*u - 3 - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75514 + 21?\nAnswer: 75535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*x**3 - 25*o*x**2 + 1289*x**4 - 11*x**2 wrt x.\nAnswer: 6*o + 30936*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**4 - 715*k**3 - 31820*k**2 - 442860*k - 1306800 = 0.\nAnswer: -66, -55, -18, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200210 - -100002?\nAnswer: -100201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5)*(5 + -7)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than 844164838?\nAnswer: 844164845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*0\/(8 - 2). Solve t = 15*c - 17*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 3, p: 3, f: 4}. What is prob of sequence nffn?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*u - 7018 - 809 = -2987 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -4 + 64 + -1830 + 1833.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 422*r**2*u**3 - 37*r**2*u + 2245*r**2 + 117852567*u**3 wrt r?\nAnswer: 844*r*u**3 - 74*r*u + 4490*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 272165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-32 - 10556)*2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*u = 20, -49*c + 3*u + 20 = -48*c. Find i, given that -432\/7*i - 1728\/7 - 1\/7*i**3 - 36\/7*i**c = 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*80\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1 + 3*g + 3 - 2 - 1 - 1. Let v(t) = -2*t + 1. Let z(n) = 5*o(n) + 6*v(n). Calculate z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/6 + -1)\/((-5)\/(-255)). Let l be 0*(-17)\/m*4*-1. Let w = 265\/7 + -38. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2872 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20707 = -2377*j - 5045 + 58025 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285.9322 + 286. Let x = t + -0.067800279. What is x rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 6*y - 7*y. Suppose 2*q - 2*j - y = -0*j, -2*q + 33 = 3*j. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(200)\/sqrt(4))**2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2*m + 1)*(27 + 1 + 30).\nAnswer: -116*m + 116","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 88*b - 87. Let q be y(1). Determine r so that -1\/4*r**3 - 2*r + 5\/4*r**2 + q = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*w**3 + 4*w**3 - 2*w**3) + w**3 + 2*w**3 + 0*w**3 + (-4*w**2 - 2*w**2 + 4*w**2)*(-3*w - 2*w + 3*w).\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -463422, -2\/3, 23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24054.5*-5\nAnswer: 120272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125203 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.174168 + 0.2. Let n = g + -0.026. Round n to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*r - 2*r - 2*r)*(-16*r**2 + 39*r**2 - 5 - 21*r**2 - 15*r**2) to the form a*r**2 + d*r + k*r**3 + i and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feefwwfffwwfwwfeew. Give prob of picking 1 w, 1 e, and 1 f.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65)\/2)\/(-65)*12\/9*-84?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 44, -141?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 2*i**2 + 2*i - 5. Let h = 156 + -152. What is a(h)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599249.8 years to millennia.\nAnswer: 599.2498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1283 = -56*y + 227*y + 598 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/120 - 191*w**4\/12 - 36481*w**3\/3 + 5*w**2 - 224. Suppose j(a) = 0. Calculate a.\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4206450367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d - 6. Let j(c) = -4*c + 1. Let m(l) = 5*l - 1. Let o(k) = -6*j(k) - 5*m(k). Let i(p) = -12*o(p) + 2*q(p). Let y(n) = -2*n**2. Determine i(y(b)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g**2 - 13*g**2 + 10*g**2. Let b(u) = 2*u**2. What is b(p(h))?\nAnswer: 338*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/18*(1 - 1*4). Let x = m - -28. What is the remainder when 18 is divided by ((-8)\/10)\/((-12)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/11 + 14*j**3\/11 + 16*j**2\/11 = 0. Calculate j.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42764 in -4, 0, 2\/3, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1837318922?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 12:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {t: 6, q: 3, j: 1, h: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 11*v**2 - 166. Calculate d(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 415971?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 + 5*q**2\/2 + 39*q\/2 + 63\/2.\nAnswer: -(q - 21)*(q + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 1 = 5*n + 19*l - 16*l, -5*n - 5*l = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 621 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 984\/17 (b) 94 (c) 1\/4 (d) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.5 in 16, -0.2, 29, -349?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5163, 5163, 5161, 5157, 5151?\n\"Answer: -k**2 + 3*k + 5161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -200122 divided by -559?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*k, -3*k - 4 = -2*h + 3*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (183\/15)\/(-6*(-16)\/(-480))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 - 2*v + 7. Determine f(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 10 = 5*q, -6*q + 5*q = 4*n - 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 5, 0.4, 70?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-3 - (-5 + -5))) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19133 divided by -7?\nAnswer: -19133\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 11, -0.14, -74820, -0.3 in descending order.\nAnswer: 11, 1\/9, -0.14, -0.3, -74820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**3\/6 - s**2\/2 - s. Let l(w) be the first derivative of 2*w**2 + 3*w - 359. Determine 7*h(c) + 2*l(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -320, -364, -444, -566, -736, -960, -1244?\n\"Answer: -f**3 - 12*f**2 - f - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 5110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 329288602 to the power of 1\/2, to the nearest integer?\nAnswer: 18146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-14) + 456\/21. Let u = -13 + r. What is the units digit of 1*u - (4 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 378379*i\/2 + 143170667641\/4.\nAnswer: (i + 378379)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -1\/3*s**3 - 1\/8*s**4 - 3 + 0*s**2 + 0*s. Factor d(c).\nAnswer: -c**2*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.2 + -84.2. What is the nearest to 3 in t, 5\/3, 1, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 5)*(-y + 2*y - 6*y) + (28 - 28 - 4*y)*(1 + 0 + 0) to z*y + w and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m. Let q = 1 + 2. Let f(t) = 3*t - 17*t**2 - q*t + 20*t**2. Give f(a(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000424314 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 324635 and 1298539\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**9\/504 + z**5\/40 + 5*z**3 + 10. Let i(p) be the third derivative of y(p). Find the second derivative of i(c) wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 309.7 + -323. Let w = 19.2 + d. Let q = 5.900054 - w. What is q rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(6\/60*-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 441448 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -6\/16409?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01582 - -0.01582. Suppose -5*h - 5*u = -25, h - 5*u - 11 = -3*h. Sort c, h, 0.07, -1\/5.\nAnswer: -1\/5, c, 0.07, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.00792 in -3, -1202, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 1\/6?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1048.9071 - 0.3.\nAnswer: -1049.2071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4 + 9 + 3*o**4 + 2*o + 45*o**2 - 9 - 375*o**2 - 164*o**5 wrt o?\nAnswer: -9840*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 172, 192, 212, 232, 252?\n\"Answer: 20*b + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7800 - -31199\/4. Which is the second biggest value? (a) 0.5 (b) 4 (c) 4\/9 (d) w (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527*c + 3*c**2 + 781*c**4 + 54*c**3 - 2*c**2 + 131*c**3 - 786*c**4 wrt c?\nAnswer: -120*c + 1110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 343 = 5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/65912 and 47\/14980.\nAnswer: 329560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107.633 rounded to the nearest integer?\nAnswer: -1108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43 - -34 - -40) + 12.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 5161.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 113*j**2 - 18*j + 34. Let o be f(10). Let m = -7657 + o. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-9)\/(-90)*(-980)\/(-1029)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -338d4?\nAnswer: 338d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 4:39 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 - 30*w + 24. Give k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*y - 22015, 0 = -k + 2*y - 5980 + 27960. Round k to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 3054072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j - 196*j - 19*j - 24*j.\nAnswer: -288*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -31*s + 565. Determine z(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*n**2 + 300*n = 0. What is n?\nAnswer: -150\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 333696430 divided by 38?\nAnswer: 8781485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/6826488?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 680 and 32480.\nAnswer: 552160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -732.45677945 + 735.15678. Let a = 34 - 31.3. Let t = a - q. What is t rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25882591?\nAnswer: 7, 587, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1352 a factor of 163202624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 831*m + 696920. Give s(517).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 120003?\nAnswer: -120130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 4*v**7\/21 + v**6\/30 + 73*v**5\/20 + 139*v**3\/2 - 2*v**2 + 863*v. What is the second derivative of p(x) wrt x?\nAnswer: 160*x**3 + 12*x**2 + 438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 6208 = -6218 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 3*v - 3*t - 48, 2*t + 16 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 60 = 4*j. Let k be ((-2)\/(-6))\/((-4)\/144*j). Put k, 3, -5 in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 4.5?\nAnswer: -8.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139.686 - -0.314. Let t = l + -139. Put t, 0.1, 1.4 in descending order.\nAnswer: 1.4, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 1 - 65*t**2 + 3*t + 5 + 3 - 5*t to z*t**2 + k*t + s and give z.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15912 is divided by 257.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1624 = 4*t, -1194 = 3*u - 0*u + 3*t. What is the units digit of u\/12*2\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -345, 15, 3, -10613, -4, -3 in decreasing order.\nAnswer: 15, 3, -3, -4, -345, -10613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.2 + -14.2. What is the second smallest value in d, -2\/15, 0.05?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(55\/(-25)))\/((-3)\/9*1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804621427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (705 + -710 - ((-1 - -1) + 0)) + (-28 - 36).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/4 - 627*p**3 + 1179387*p**2\/2 + 2985*p. Find c such that q(c) = 0.\nAnswer: 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001011110 (base 2) in base 6?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 507916 divided by 172?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v + 1242 = 762 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 288 - 204. Let w = c - 20. Suppose 3*k - w - 227 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 7*k - 7. Let p(j) = -j**2. Let h(l) = d(l) - 6*p(l). Let q(m) = -m**2 + 3*m + 3. Let y be (1\/(-2))\/((-6)\/(-84)). Calculate y*q(r) - 3*h(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436090 is divided by 48452?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1292944 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 253 - 174. Let p = -53 + 57. Suppose -2*k + g = 5*m, -p*k + 5 = -3. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 32*q**2 - 115*q + 92. Determine j(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 25.1. Let z = 2.3 - -0.7. Which is the nearest to f? (a) -0.4 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) + -2*sqrt(110) + sqrt(110) + sqrt(110))\/sqrt(11))\/sqrt(2) + 3 + 2 + sqrt(45))**2*5.\nAnswer: 200*sqrt(5) + 525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(((-2)\/6)\/(5 - 4)). Suppose 2*s + 23 = 3*i, -j*i + 0*s + 5*s + 35 = 0. Let z(t) = -t**2 + 5*t + 6. Let w be z(5). Solve -w*n + n = i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2064*f - 25779 = 2081*f - 4806*f for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*v**3 + 67*v**2 - v - 3009 wrt v.\nAnswer: -15*v**2 + 134*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, g: 5, k: 4}. Give prob of picking 3 k and 1 g.\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**3 - 1 - 12*y**2 - 3*y - 2 + 0*y + 4 - 6*y**3 to the form r*y + w*y**3 + f + m*y**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 50\/(-12) + 4 + (-61)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5112 + 7902. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322 + -0.04.\nAnswer: 1321.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 23. Suppose -2*k = 3*t - 3 + 7, -h*k + 9 = -2*t. Which is the third biggest value? (a) 2\/3 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:22 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 + (-46)\/8)*(-6)\/(-45). Which is the closest to 2\/7? (a) h (b) -2\/15 (c) 3 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 68, 79, 96, 119, 148, 183, 224?\n\"Answer: 3*v**2 + 2*v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -76810 + 0.1\nAnswer: -76809.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -64771 divided by 39\nAnswer: -64771\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392640, -785332, -1178080, -1570914, -1963864, -2356960, -2750232, -3143710?\nAnswer: -3537424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukbbubbbuukkkb. Give prob of sequence uubb.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o - 2. Let z be v(2). Suppose -2 - 4 = -z*q, -r + 591 = -2*q. Calculate the common denominator of r\/(-54) + (4 - 1) and 39\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 349 + 145. Suppose -k - 2*v + 2745 = a, 0 = 2*k + v - 4493. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7865)\/(-4719))\/((-4)\/(-21))*-4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - -36. Calculate the remainder when h is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 1. Let r(h) = 5*h + 3. Let k be r(-3). Let o = k + 7. Sort -2, o, l in descending order.\nAnswer: -2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 1, h: 1, d: 1, w: 1}. Give prob of sequence wd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5\/11 - 102187*r**4\/11 - 877512945*r**3\/11 - 124649719505*r**2\/11 - 980203879632*r\/11 - 312917156928\/11 = 0?\nAnswer: -16959, -136, -8, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31405*l**2 + 48349 wrt l.\nAnswer: -62810*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-5)\/(15\/9). Let a be 0 + 0 + u\/6. Factor 2\/3 - 2\/3*v**2 + a*v - 2\/3*v**3.\nAnswer: -2*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 15 = -4*m + 54*n, 0 = -m - 5*n - 20. Sort m, -2, 14 in descending order.\nAnswer: 14, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*m + 0 + ((-3 + 3 - 2)*(m + 2 - 2) - 3*m - 10*m - m)*(-4 - 3 + 3) + 2*m - 6*m + m.\nAnswer: 63*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*u - 2, -3*u - 2*u = -3*p - 21. Solve u*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 2:18 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210441441 (base 5) to base 6.\nAnswer: 140335230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzznqannnnvvnllavnz. What is prob of picking 2 v?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11040086*0.4.\nAnswer: 4416034.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 + (-58 - -98) + (0 + -16 - 1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let u(n) = -32*n + 2. Let j(o) = -73*o + 6. Let k(c) = 108*c - 9. Let g(b) = 7*j(b) + 5*k(b). Let v(x) = 2*g(x) + 3*u(x). Calculate v(m(s)).\nAnswer: 76*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40739897*q**3 - q + 14357387 wrt q.\nAnswer: -244439382*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -651168, -651166, -651164, -651162, -651160?\nAnswer: -651158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**2 + 3*s - 6. Let c(m) = -m**3 - 2*m**2 + m + 2. Let k be c(-2). Let w be k\/10 - 5\/1. Calculate the remainder when h(w) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -74, -0.3, -1039, 5, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12 - -5)\/((-4)\/12). Calculate the greatest common factor of x and 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 13*c**6\/60 + 9*c**5\/20 + 6*c**2. What is the third derivative of r(u) wrt u?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p - 2*p**2 - 281*p**3 - 148 + 95 + 49 as k*p**2 + f*p**3 + o + g*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/1*(-5)\/(-30)*3*-19?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -180 - -185. Let c = 9 + -8.84. Let r = 0.24 + c. What is the second smallest value in v, -0.3, -0.5, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 23. Suppose 28*d + 133 = 245. Calculate the smallest common multiple of d and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 4*v + v + (-3 + 2 + 0)*(4*v + 3*v - v))*(-2*v**2 - 5 + 5).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 - 600495.078.\nAnswer: -600492.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77996 by -2108.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261482569?\nAnswer: 3, 277, 907133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -5 + (7 - (-2 + 6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 479211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51821664.3s to weeks.\nAnswer: 85.68396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 13 = 59. Let q be -4*-2*(-2)\/(-4). Suppose -3*v - q*y = v - 64, 3*y - 8 = -v. What is the least common multiple of u and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 341 and 2604.\nAnswer: 28644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26586.6359 + -26588. What is s rounded to 2 dps?\nAnswer: -1.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/(84\/(-63)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69378 - 69359.9965. Let z = 3 - 21. Let o = z + l. Round o to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 6*k - 3*w - 0*w + w + 25, 9*k - 4*w - 33 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13009991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29339948921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 839*c**2 - c - 461 - 363 + c wrt c.\nAnswer: 1678*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a*a**(-2\/3))))**(2\/11)\/(a*a\/(a\/a**(-7\/5)*a)*a**9)*a**(-1\/8)\/(a\/(a**6\/a))*a\/a**2*a*(a*a*a**(-1))\/a assuming a is positive.\nAnswer: a**(-4597\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14203 (base 8) to base 10.\nAnswer: -6275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -8, 0 in descending order.\nAnswer: 0, -8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c + 10. Let b be j(-7). Suppose 22 + 2 = b*x. What is the greatest common factor of 40 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(612) - (sqrt(612) - (-1*sqrt(612) + 5))) + -3 + sqrt(612) + (1 + sqrt(612) - sqrt(612)) - (-3 + sqrt(612) + 0 + sqrt(612) + 4)*-1)**2*3.\nAnswer: -36960 - 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 5*o**2 + 4*o)*((0*o**2 + 0*o**2 + 2*o**2)*(2 + 0 + 0) - 20*o**2 - 6*o**2 - 12*o**2).\nAnswer: -170*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 503 and 8062587?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-99)\/22)\/(6\/(-8)). Let u(m) = m**3 - 7*m**2 + 3*m - 1. Give u(o).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 13*x + 5. Let o(m) = m. Give d(r) - 6*o(r).\nAnswer: 7*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130269747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*k - 30*k + 60*k + 4*k**2)*(2*k + 3 - 3).\nAnswer: 8*k**3 - 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -44*n - 2*n**2 + 0 - 1\/3*n**3. What is k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58493 is divided by 1016.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12057406261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*m + 28 = 0, 3*d - 2*d = 2*m. Let k = d + 7. Find the third derivative of 4*x**3 - 2*x**3 - k*x**3 + x**2 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8228892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**5 - 12691*c**3 + 1393*c - 6 wrt c?\nAnswer: -40*c**3 - 76146*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188*(-2)\/(-8)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 31176*g + 155940. What is p(-5)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -11, -1\/2, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -20010?\nAnswer: 20011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4907304?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/15 + 1 + (-12)\/30. Sort i, 5, 0.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.015938 and 7.\nAnswer: 0.111566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 589 and 6913?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-10))\/(3\/(-30)). Let n be 0 - m - (-4)\/2. What is the units digit of (n\/5)\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 158878?\nAnswer: -158873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5970140, -0.04, -4 in decreasing order.\nAnswer: -0.04, -4, -5970140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -51843 and 786.\nAnswer: -51057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/399 or 0?\nAnswer: -2\/399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 - 175 = 3*g. Let i(w) = -3*w + 4. Let m be i(-2). What is the highest common factor of m and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 43*i - 63 = 4*l, -l = -i + 51. Solve 3*b + 13 = -2*c, -3*c + 3*b + 35 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7\/4))**20*(f**2\/f)\/(f\/f**(1\/17)))**(36\/5) assuming f is positive.\nAnswer: f**(-21384\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1702 (base 12) to base 9\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2420566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 72\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4035220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 6*k + 174420. Let w = k + 38636. Suppose -2*v = -4*n - w, 5*v - n - 54049 = 90955. What is v rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111100 - 1000000001?\nAnswer: 11111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*z + 19 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49903 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 4. Let w be t(3). Let f be 3\/6 - 81\/(-6). Suppose -11*p - f = -12*p. Calculate the greatest common divisor of w and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607\/2 - 20\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*l**3 + 69*l**2 - 69*l**2 - l**3 + 4*l**2 - 4*l**2 + (1 - 2*l - 1)*(0 + 0 + 2*l**2) + l**3 - l**3 - l**3 + 5*l + 3 - 9*l + 3*l - 4*l**3.\nAnswer: 17*l**3 - l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -235 - -235.81. Let r = -1105674 - -1105674.8100002. Let w = r - d. What is w rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2)\/(n*n*n*n**(-1\/2)))\/((n\/n**(2\/11)*n)\/(n**(-4\/5)\/n)))**(-3\/7) assuming n is positive.\nAnswer: n**(156\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6817 - 34083\/5. What is the closest to 0 in k, -125, -3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -139 and -171 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 3. Suppose 4*x = 3*x - 5. What is the units digit of k(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2 + 1\/15*z**5 + 1\/8*z**4 + 0*z + 3 - 1\/6*z**3. Let p(v) be the second derivative of w(v). Suppose p(c) = 0. What is c?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) 2\/7 (d) -56 (e) 0.3 (f) -0.5 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + n + 1. Let f(l) = 14*l**3 + l**2 - 3*l - 4. Let u(k) = -f(k) - 3*q(k). Give u(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 7 - 4)*(-6*r**3 - 3*r**3 - 5*r**3) to the form a*r**2 + y*r + i*r**3 + j and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a (base 11) in base 5?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/4, -42, -0.1, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 20. Let w be n + 3 - (-5 - 230\/(-2)). Which is greater: w or -109?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6438680 by -4.\nAnswer: -1609670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 682. Let u(n) = -n + 372. Let g(x) = 11*u(x) + 6*w(x). Let a(i) be the third derivative of -7*i**4\/4 - i**2. What is g(a(t))?\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**4 - 4*t**4 - t**5 + (-2 + 2*t**2 + 2)*(-4*t**3 + 5*t**3 - 2*t**3) + 0*t**5 - 2*t**5 - t**5 - 6*t**5 + 7*t**5 + t**5.\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h**(1\/4)\/h))\/h)**24*h**(-1)\/h*h**(1\/11)*h)\/((h**1*h*h*h)\/h**(-1)*((h*h*h*h\/(h**(1\/3)\/h*h)*h*h)\/h)\/h*h*h**(2\/5)) assuming h is positive.\nAnswer: h**(-2801\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.89 + -0.11. Let c = -10674129 + 10674202.99937. Let b = c + t. Round b to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5 - 27 = 0. Which is bigger: s or -28\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4770 divide 1140479197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 15, -j + 12 = 2*p. Suppose 123*o + 572 = -120*o + 254*o. Sort o, j, 1\/5 in decreasing order.\nAnswer: o, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 6*g - 2. Let o be s(-5). Let c = -160\/3 - -337\/6. Let j = o - c. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from {m: 4, x: 2, q: 3}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 113852672 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 1. Let x(z) = 18*z + 11. Let l(m) = -5*n(m) + x(m). Is l(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/14*6*42\/12.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 18 = -6*h. Suppose 5*m + 17 = 3*c, -h*m = 3*c - 12 - 21. Suppose -u + 12 - c = 0. Solve 3*x - i - u = 3*i, -24 = 4*x + 4*i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 952114052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a809b1 (base 14) in base 5?\nAnswer: 2423444422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.75116 and 0.3.\nAnswer: -0.825348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.04 + 11.14. What is the fourth biggest value in 5\/6, 0.02, -1\/24, h, 0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303 - 297. Let f(t) be the second derivative of -23\/10*t**6 + 39\/20*t**5 - 10*t**3 + 19\/4*t**4 + z*t**2 + 0 + 1\/2*t**7 - 7*t. What is n in f(n) = 0?\nAnswer: -1, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 2*j**2 - j**2)*(j + 0*j - 2*j) + 4*j**3 + j**3 - 4*j**3 + (3 - 1 + 0)*(3*j**3 - 3*j**3 + 2*j**3).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -50, -5, 163?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7\/6)\/(i**(-8)*i)*(i**8*i*i)\/i*i**(2\/21) assuming i is positive.\nAnswer: i**(209\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5674599, -5674588, -5674577, -5674566?\nAnswer: -5674555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = 2*z, 53*z + 12 = 55*z. Solve w*h - 8*h = -5*m - 27, 5 = 5*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*y + 53*y - 2 - 10 = -4*l, -2*y - 3 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - (39 - 4)) + 10)\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14125470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*l - 58*l + 169*l - 60*l.\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 3*s**2 - 19*s - 32. Let h be b(-5). Solve 4*j - 2*l + 4*l = -10, 4*j + h = -5*l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-37)\/(-43) - -1. Let k be ((-2)\/10)\/((-20)\/(-28)*1617\/1650). Are k and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15459.7 + -15460. Is 464\/13 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 2*f + 24, 0 = 276*v - 280*v + f - 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-1392)*-1*(-21)\/(-56)*4?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/3 > 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*a + 0*a + 0*a - 2*a + 2*a - a - 3*a + 0 + 0 + 3*a + (2 + 2*a - 2)*(-3 + 0 + 1))*(-1 + 1 + 22*a) + (-2*a - 2*a + 2*a)*(0*a - a - a).\nAnswer: -150*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o - 7. Let v(x) = -x**2 - 2*x + 6. Let h(z) = -6*f(z) - 7*v(z). Find the second derivative of h(p) wrt p.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -209, -216, -223, -230, -237, -244?\n\"Answer: -7*u - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 70953865?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1396000 rounded to the nearest ten thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/60)\/((-105)\/(-210))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 48, 122, 226, 360, 524, 718?\n\"Answer: 15*g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = t - 2*v, 322 = -2*t - 2*v + 294 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22466\/9 + -5009\/2. Calculate the common denominator of 21\/118 and m.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2254?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 1308096930?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -s - 4*f, 0 = s - 4*f - 34. What is the highest common factor of 198 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.5857 - -0.0857. Which is the nearest to -0.2? (a) f (b) 0.4 (c) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.5 + -2. Let d = -0.07 + -3.93. Let i = -4 - d. Which is the closest to i? (a) -1 (b) p (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 657550 by 26302.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 7\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 + 0.3. Suppose -x = -3*v - 0 - 4, 2*v + 4 = 2*x. Suppose -2*h - h = 0. Which is the closest to x? (a) h (b) 1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -20*o + 18*o + 6 - 57*o - 42*o + 289*o**2. Let c(f) = 96*f**2 - 34*f + 2. Let m(v) = -4*a(v) + 11*c(v). What is the second derivative of m(y) wrt y?\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 803740 (base 9) to base 4\nAnswer: 1310000232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 90*q**2 + 54*q - 719. What are the prime factors of g(90)?\nAnswer: 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859515 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: Expand -x**4 - 2*x**4 + 4*x**4 + (1006692 - 1006692 - 4576*x**2)*(2*x**2 - 3 + 3).\nAnswer: -9151*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62\/7 or -26.162?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*z - 16, -4*u - 220 + 236 = -4*z. Solve 5*k + 4 = 8*k - 4*h, -z*h - 4 = -2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -370 + 372. What is the fifth biggest value in -0.1, -0.08, l, 0.3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 6*j - 4*j)*(-48149 + 24041 + 25755) as b + k*j and give k.\nAnswer: 1647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*v*y + l**3*y**2 - 2*l**2*v*y + l*v*y - 2*l*y**2 - 19*v*y**2 + v wrt l?\nAnswer: -12*l*v*y + 6*l*y**2 - 4*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/586 - 295\/1172. What is the biggest value in 0.09, n, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265\/6 + 42. Which is bigger: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7818.8 to the nearest one hundred.\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:11 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*w - 113, 6*w - 230 = -5*v + w. Let a = 68 - v. Calculate the highest common divisor of 189 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -2*sqrt(13) + -4)**2 - (3*sqrt(13) + 4) - (sqrt(117)*2*-6)\/(sqrt(729)*-2).\nAnswer: 13*sqrt(13)\/3 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/27)\/(2\/3). Let h(d) = -3*d - 1. Let f(c) = -15*c - 4. Let t(b) = l*f(b) + 6*h(b). Calculate t(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5402 - -5355. Is -90 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 27 = -5*n + 4*t, 3*t + 36 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110178 - 11*b + 220364 - 3*b**2 - 110172 to the form x + f*b**2 + g*b and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271406 and 35114?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52828480*f**3 + 16004350*f**2?\nAnswer: -316970880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + i**3 + i**3 + 0*i**3 + i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 351 + -32552?\nAnswer: -32201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 - 67*o**2 - 429*o. Calculate j(39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 + -1 - (-69 + 76) - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**5\/4 - 15*r**4\/4 - 63*r**3\/4 - 69*r**2\/4 - 6*r = 0. What is r?\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1215440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/43700 and 173\/2254920?\nAnswer: 11274600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -203157*m - 235. Is v(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 259 + -259. Solve j = 9*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/((-4)\/20). Let o(y) = -y**k + 5*y - 2*y + 4*y - 2*y - 2. Let p = 10 - 7. Determine o(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2318, 4614, 6816, 8876, 10746, 12378, 13724?\nAnswer: 14736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222000001010222 + 10?\nAnswer: -222000001010212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 677 - 416. Calculate the common denominator of (-4428)\/(-45)*(-2)\/(-16) and r\/12*(-10)\/(-9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**8\/840 + 73*w**7\/525 + 479*w**6\/150 - 6937*w**5\/75 + 5453*w**4\/12 + 8405*w**3\/3 + 571*w**2. Suppose z(r) = 0. What is r?\nAnswer: -41, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 753368.\nAnswer: 3013472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22371*m**3 + 2*m**2 - 498*m + 2?\nAnswer: -134226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(228) - (3*sqrt(228) + sqrt(228))) + sqrt(228))*3)\/(sqrt(120)\/(-6*sqrt(40) + sqrt(10))) + 2.\nAnswer: -330*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.3 + -23.7. Let j = -31.000053 - l. Round j to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1152427 and 4163.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*q = 4, 5*w + 2 = 2*w - 2*q. Let h = 0.5 + -1. Which is the closest to w? (a) 4 (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than 853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.923 rounded to 1 decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5132705 (base 8) to base 15\nAnswer: -1bc238","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 64. Let x(s) = -s**3 + 5*s**2 - 6*s + 8. Is 3 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 5*o**4)*(2 - 5 + 1)*(4*o + 0*o - 5*o)*(4 + 8 + 2).\nAnswer: 140*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 4 - 3 - 3. Let b be h(4). Let d = 8 - 8. Sort d, b, 1 in ascending order.\nAnswer: d, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 6. Let i = -20806 + 291241\/14. Find the common denominator of i and (-135)\/6 + 4\/v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + q - 16, 25*q + 32 = 4*d + 30*q. Suppose 5*l = 5*a + l - 61, -2*l = d. What is the lowest common multiple of 30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.178 - -0.178. What is the closest to t in -4.6, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147254378 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-7)*n*n**(-2\/27)*(n*n\/((n\/(n*((n\/n**(-1\/2))\/n)\/n*n)*n)\/n)*n)**(-7\/8))**(-7) assuming n is positive.\nAnswer: n**(24605\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v. Let d(j) = -3*j**2 + 120*j - 1. Calculate u(d(f)).\nAnswer: 6*f**2 - 240*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -4*w, -10 = -4*p - 2*w - 8. Round p to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/4*272\/(-68))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5\/6 - -1\/2. Suppose 2*w + n + 5 = -0, 25 = 2*w - 5*n. What is the nearest to y in -1, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009683 is divided by 50484.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 355186?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*l**2 + 560385*l - 105075.\nAnswer: 5*(l + 7005)*(16*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 26 (b) 4 (c) 0.2 (d) -2\/9 (e) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 3. Let c = g + -8. List the prime factors of c\/(-10) - 38\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5200 and 8320?\nAnswer: 41600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -2*y**3\/3 - 3034*y**2\/3 - 9076*y\/3 + 12112\/3 = 0.\nAnswer: -1514, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 42, -81, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 10*y**2 - 2*y + 3. Let a be m(2). Let b = a + 48. Let q = -56 + b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -242, 397, 1540, 3187, 5338, 7993?\nAnswer: 11152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 444.01287 to the nearest integer.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2 = -7. Let p be (i\/3)\/((-4)\/12). Suppose 0*w + 4*n = 2*w - 72, -p*w + 120 = 2*n. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15774717 is divided by 320.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n + 5. Let r(q) = -8*q + 4. Let j be 3*(-2 - (1 + -2)). Let f(b) = j*g(b) + 4*r(b). Differentiate f(v) wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -765 by -284.\nAnswer: 765\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 7*a**2 - 6*a. Let u be m(6). Let z be u - ((1 - 10) + 1). Suppose -z*r = -10*r + 180. What is the greatest common divisor of 15 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359290.8 rounded to the nearest one thousand?\nAnswer: 4359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1971, -5, 2, -4, 5 in decreasing order.\nAnswer: 5, 2, -4, -5, -1971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177, 207, 237, 267, 297?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 505901 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 29242 = -29374. Put -5, -3, 0, j, -2 in descending order.\nAnswer: j, 0, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46911306.3 plus -0.0257?\nAnswer: -46911306.3257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 181*a**2 - 13*a + 12. Let n be p(1). Suppose -2 = v + 4. Let l be 6*(-1 + (-26)\/v). What is the highest common factor of n and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 421*n - 889. Is h(21) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 41 = 7*w - 2*w, y = -w - 1 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 3 + 2 - 4 - 2. Let o be z(6). Let j be ((-65)\/10)\/(o\/2). Calculate the greatest common divisor of 52 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 364797?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 3*w + 42 = 0, -w + 13 = 27 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 PM and 9:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 1017, 0.5?\nAnswer: 1017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 403*m - 400*m + 0 - 2. Let u(c) = 9*c - 7. What is 7*g(f) - 2*u(f)?\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {b: 4, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -14410310?\nAnswer: 14410320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 630*v + 302. What is the thousands digit of q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40100 + -40101. Let w = -0.6 + 0.54. Which is the third smallest value? (a) -0.2 (b) y (c) -42 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 11*x**2 + 4*x + 6. Determine g(-11).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 + 6*v - 15. Let j be s(5). Let i be (1 + 51\/(-55))\/(4\/j). What is the second smallest value in i, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + 5 + 0 + (sqrt(684) - ((sqrt(684) - (0 + sqrt(684) + sqrt(684)))*5 + sqrt(684)))*3)**2.\nAnswer: 1260*sqrt(19) + 153949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -149, -160, -177, -200?\n\"Answer: -3*d**2 - 2*d - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + -23. Let u = -552 - -562. What is the remainder when u is divided by ((-3)\/2)\/(7\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(30) - sqrt(750))\/sqrt(10))**2.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 10282.434 months?\nAnswer: 8.568695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2188192*a**3*b**2 - 6*a**3*b - 973*a**2*b + 23*a wrt b.\nAnswer: -4376384*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*m**6 - 50*m**4 + 364848*m**3 - m**2 - m + 142583986.\nAnswer: -600*m**3 - 1200*m + 2189088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a**2 - 32*a**2 - 7*a**2)*(-5 + 5 - a).\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1016 + -789. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z - 5 = 3*f, 13 = 5*f + 3*z. Let x = 53 + -35. Suppose -3 = -4*o + 3*t, -x = 4*o - 5*o - 5*t. Sort o, 4, f in increasing order.\nAnswer: o, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*o = -12*o + 726 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, f: 1, b: 5, i: 1, e: 3}. What is prob of picking 1 l, 1 f, and 1 b?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 54487*s - 3596138. Give f(66).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 1, 4*z + 1 = -3*r - 13. Suppose -5*v = -4*p - 30, 5*v + p + 0 = 5. Let y = v - r. What is the least common multiple of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**5 + 22*d**4 + 86*d**3 + 138*d**2 + 72*d.\nAnswer: 2*d*(d + 1)*(d + 3)**2*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, s: 9, k: 1, o: 7, q: 2}. Give prob of sequence oror.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 25, 54, 95, 148, 213, 290?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6099 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*f - 3307 + 1324 = 0, 3*f - 2672 = -4*t. Solve -660 + t = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (2 + (14 - 9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315734, -2525708, -8524204, -20205482, -39463802, -68193424, -108288608, -161643614?\nAnswer: -230152702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6028 - b**3 + 4*b + 12053 - 4*b - 6025.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 4, 55, 0 in ascending order.\nAnswer: 0, 4, 10, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 17*p + 15. Let h be u(-9). Let g = 141 + h. Suppose -7460010 = 2*x - 3*x - 2*k, -g*x + 22379975 = -5*k. Round x to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15609404?\nAnswer: 2, 3902351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2365574?\nAnswer: 2, 1182787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45466*j - 22734*j + 0*j**2 + 3*j**2 - 22732*j - 18*j**3.\nAnswer: -18*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-8)*t**(1\/33)*(t**(3\/16)\/t)\/t*t**(-5) assuming t is positive.\nAnswer: t**(-7805\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b**3 - 13*b**2 - 17*b + 67. What is the thousands digit of k(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z**4 + 33751*z**3 + 101247*z**2 + 101245*z + 33748 = 0. Calculate z.\nAnswer: -33748, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-156)\/(-32) - 5) + (-5 - 184\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237.55488 months in centuries?\nAnswer: 0.1979624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 5*y + y)*(0 + 0 - 1)*((y + 2*y - y)*(2 + 2 - 2) - 15*y - 2 + 2 - 2*y + 1 - 1).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -321043210 + -20?\nAnswer: -321043230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(6\/72)\/(6\/27)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.12 - -0.22. Let h = -6.74 - j. Let m = 0.64 + h. What is the nearest to 0 in 0.03, -5, m?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g - g)*(3 + 2 - 2) + (g - 5 + 5)*(-8 + 2 + 3 + 1 + 1 - 1 + (4 - 2 - 6)*(13 + 14 - 14)).\nAnswer: -51*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20104 + -1010114?\nAnswer: -440010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = x + 102, 5*g + x = 81 + 81. Calculate the remainder when 593 is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 118 - 527 = 0. What is the common denominator of 46\/(-69) + (-1 - (-2 + 2)) and 3 + -1 - x\/27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4349*r - 17711 = 4150*r for r.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18930 and 0.49.\nAnswer: 9275.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143924895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935*c**2 - 165*c**2 - 517*c**2.\nAnswer: -1617*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/7))\/(w\/(w*w\/((((w*w*(w*w\/w**26)\/w)\/w*w)\/w)\/w)))*(w**34)**(-1\/12) assuming w is positive.\nAnswer: w**(1009\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/(-21))\/1)\/(2\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18544 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*a = -110 + 1112 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - q, 0 = -3*z + 4*q - 0*q. Suppose -2 = -h - 2*s - z, -2*s = 2. Suppose 0 = j - h - 0. Solve 0 = j*o - 3*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (28 - 14)) + 0 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/9 and 67\/408900.\nAnswer: 1226700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 285 - 285. Suppose v - 5*j - 640 = b, v = -j + 662 - 22. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51629 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 382*l - 278. What are the prime factors of d(5)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 16*a**2 - 10*a - 32. Let c be u(7). What is the second biggest value in c, -202\/7, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - 4*q + 13. Let x(o) = 2*o**2 + o + 3. What is k(w) - 3*x(w)?\nAnswer: -4*w**2 - 7*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6, 7, -0.3, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27319*m**2 - 6258*m - 608205272 wrt m.\nAnswer: -54638*m - 6258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4648404227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 107625 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1)*-2*(-4)\/(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, f: 4, l: 7}. What is prob of picking 1 l and 1 f?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 - -1872) + (-413)\/(-59)?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((81\/(-36))\/((-3)\/(-2)))?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * 2148.05.\nAnswer: 6873.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1649296246623575*k + 1649296246623575*k - k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 6752.\nAnswer: -20256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/7)\/(7362\/(-11452)). Suppose -3*q + 5 = 2*q, -10 = -3*m - 4*q. Which is the nearest to 1? (a) 1\/7 (b) n (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 7. Let n(h) = 4*h - 6. What is -3*m(u) - 4*n(u)?\nAnswer: -u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/32 and 77\/453941140.\nAnswer: 3631529120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*f - 19*f = 31*f + 140. Let b = 0 + 3. Solve u - f*d - 5 = d, b*d + 11 = 4*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.35 + 1.4. What is the third smallest value in 0.1, 2\/9, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/6 + 169*n\/6 + 167\/3 = 0. What is n?\nAnswer: -167, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:19 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(6\/25)*(z**0)**(14\/9))**(-20) assuming z is positive.\nAnswer: z**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36571 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -309.\nAnswer: 1\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104323957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/7)*p\/p**(4\/9)*p*p*p)\/(p**(-4\/7)*p**7))\/((p*p\/(p**(-1)\/p)*(p\/p**5)\/p)\/(p**1)**11) assuming p is positive.\nAnswer: p**(566\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t - 3 + 8*t - t**2 - 3*t. Let u(h) = -h**3 + h**2 - h + 1. Let d(l) = -3*u(l) - w(l). Find the third derivative of d(g) wrt g.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16336 is divided by 4075.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1069, -1071, -1073, -1075?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 733665 by -12435.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -s - 21*l + 8, -3*l = 4*s + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**2 - 9 + 9)*(2068*c + 866*c + 107*c + 237*c) in the form h*c**3 + i*c**2 + q*c + n and give h.\nAnswer: 3278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1704 = 5*w + 7*w. Let x = 146 - w. Solve 2 = -x*g - 5*s - 13, s = -2*g - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:12 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1141 + -167514?\nAnswer: -166353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -u - 133, 0 = 5*b + 4*u + 320. Let w = 37 + b. Let s = w - -47. Calculate the remainder when 38 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 11. What is the lowest common multiple of j and (-4)\/(-1) + -157 + 154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9074582 to the nearest integer?\nAnswer: 3012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21000200 - 2221?\nAnswer: -21010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -3) - (6 - 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 705436164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 10*d**2 + 11*d + 12. Let b be q(-9). Round b to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 - (46 + -24)) + (-47739)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 12*z - z + 2364329 = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/((o*o**(-7\/3))\/o))*o*o*o**(-4\/7)\/o*o*o*o*o assuming o is positive.\nAnswer: o**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 19*y + 144. What is x(13)?\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - c = -1, 4*u - u + 4*c = -11. Suppose -5*v + 33 = u. Calculate the highest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3531 is divided by 247?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**2 + 8*l - 10. Let g be z(-7). Let c = 68 + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 16*g + 21 = 12*g, 0 = i - 5*g - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 16 - 32 = 0. Let p be 49\/35*5 + d. What is the second smallest value in 3, -4\/5, p, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**6 - 3*c**5 - 938*c**4 - 259*c**2 + 2*c - 2?\nAnswer: 120*c**3 - 180*c**2 - 22512*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/4 (b) -0.6 (c) 0.4 (d) 50.531\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -2.2.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 36329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/120 - 7*x**5\/60 - x**4\/4 - 26*x**2. Let s be o(-6). Determine w so that 1\/3*w**2 + s - 1\/3*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 29 - 22 + 51. Let z(f) be the first derivative of -2*f**2 + 3*f + 2. Let l(v) = 5*v - 4. Let a(s) = -3*l(s) - 4*z(s). Calculate a(o(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.560484ng to milligrams.\nAnswer: 0.000000560484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -365, -1002, -2761, -6212, -11925, -20470?\n\"Answer: -95*t**3 + 9*t**2 + t - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533857.39 times -0.2?\nAnswer: -306771.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4984 or 4985?\nAnswer: 4984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2107 - -2104.6. Let s = 7.5 + -10. Let z = s - m. Which is smaller: -1.7 or z?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -95*x**3 + 116*x**2 + 7*x + 7. Let p(j) = 48*j**3 - 58*j**2 - 3*j - 3. Let n(r) = -3*g(r) - 7*p(r). What is the third derivative of n(k) wrt k?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1152b339 + -8?\nAnswer: -1152b345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-6) - 3\/18. Put l, -5, 0 in ascending order.\nAnswer: -5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, a: 1, y: 1, k: 2, p: 1, z: 3}. What is prob of picking 1 r, 1 y, and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4203, 8408, 12615, 16824, 21035, 25248?\n\"Answer: h**2 + 4202*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 595962, 595954, 595942, 595926, 595906, 595882?\n\"Answer: -2*y**2 - 2*y + 595966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-2)*-14*(-24)\/504?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 257731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 85 - 60. Suppose -5 = -3*v - 4*n + 60, -v - 2*n = -f. Solve z - 4*l - 14 = 5, 3*l + v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6405 - -7381. Calculate the highest common factor of 854 and r.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 190, 616, 1334, 2350, 3670, 5300, 7246, 9514?\n\"Answer: m**3 + 140*m**2 - m + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 15, 17, 21, 27, 35, 45, 57?\n\"Answer: v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91809704 to the nearest integer?\nAnswer: 451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 571 - 562. Suppose 10*f - 5*f - 140 = 0. Calculate the remainder when f is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20209?\nAnswer: 7, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*7\/4*80\/56.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**3 + 33*i**2 - 26*i - 95. Let a be j(-17). What is the highest common divisor of 6 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2178?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x + 3*x**2 - 5*x)*(-5*x**3 + 0*x**3 + 6*x**3) + x**5 - 2*x**5 + 0*x**5 - 2*x**5 + 0*x**5 + 0*x**5 + (-x - 1 + 1)*(-2*x**2 + 2*x**4 + 2*x**2).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -41, -5, -4, 2, 151 in decreasing order.\nAnswer: 151, 3, 2, -4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s - 56. Suppose -339 + 3 = -16*b. What is the highest common divisor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109959.\nAnswer: 3, 36653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*u - 2*s - 14 = -351*u, s + 5 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((9\/(-18))\/((-1)\/34)). Let q = 80.6 - 74. Let y = 5.6 - q. Sort y, h, 2 in ascending order.\nAnswer: y, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60152*g - 60152*g + 21*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1\/2 (c) 6895 (d) 148 (e) -1 (f) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:39 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 4. Let r be (10\/(-4))\/(p\/(-6)). Let k = r - -26. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1008)\/184)\/((-1066)\/(-12259))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16420.090863 rounded to zero dps?\nAnswer: -16420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7496*z + 43245*z - 366*z + 31252*z - 3174*z.\nAnswer: 78453*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*f - 2*f + 3, -3 = 4*d + 5*f. Let q = 6 - d. Suppose -q*i + 0*i = -9. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 12?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17295259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*(sqrt(85) - (sqrt(85) - sqrt(85)*-4)) - sqrt(85))\/(sqrt(5) + -3*sqrt(5)*6).\nAnswer: -2 + 9*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z. Let d(c) = -457*c - 17. Let m(i) = -d(i) - 5*h(i). Is m(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2 (c) 0.48 (d) 10\/7 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 8.01. Let f = 915 + -775.6. Let t = f - 139. Which is the closest to 2? (a) z (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -7*w**4\/6 - 13*w**3\/6 - 10*w**2. Is k(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhd when three letters picked without replacement from haaddaadadadaaaaaad?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*u - 347 = -337 - 1777 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(7) + -2 + 1 + sqrt(7) + sqrt(7))*5)**2.\nAnswer: -6400 + 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -190*b - 20343. Calculate j(-107).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*q + 16, 0*q = 3*q - 2*g - 19. Suppose -y = 3*h + 34, -15 = h - q*y + 3. Let j = h + 15. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.26138561 rounded to three decimal places?\nAnswer: -2.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -314*s**2 + 4*s + 169. Let r(p) = -p**2 + p - 5. Let u(k) = -g(k) + 4*r(k). Differentiate u(d) wrt d.\nAnswer: 620*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4162 by 2081.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 348 + -75. Suppose -5*v - 3 + k = 0. Suppose -4*x + 2*r + 62 = -44, 0 = -4*x + 4*r + 104. What is the highest common divisor of v and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, 5.5, 3, -298.55 in decreasing order.\nAnswer: 5.5, 3, -2\/9, -1, -298.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.149 - 39.851. Let w = i + 38. What is the closest to -0.1 in 1\/3, 9, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/74 - (-9)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*p + 12 = 0. Let q be 58\/12 + p\/18. Suppose -q*i + 3*i + 230 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - t = -26, -4*u + t - 150 = -279. Which is bigger: 16\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 1. Let q be u(1). Let s = -8 + 7. Let p = q - s. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*k + 16, -4*u - 2*k + 26 = -u. Let l be u*(0 - (-9)\/6). Solve -2*d + l = 3*b, 5*b + 3*d - 21 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (6\/(-18) - 2\/(-6)). Let a be (2 - 9\/j) + 25. Let r be (-626)\/(-18) + a\/108. Which is bigger: r or 34?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + 2*r)*(2*r + 2*r - 5*r)*(-2*r**2 - 2*r**2 - 4*r**2).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 2, x: 1, b: 6}. Give prob of picking 2 b and 2 k.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -887*o + 5315. What is u(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1102, -3215, -6738, -11671, -18014, -25767, -34930?\nAnswer: -45503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42\/23? (a) -0.5 (b) -4 (c) -13\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qehiqeueueqqqqeqqeeq. What is prob of sequence hei?\nAnswer: 7\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1\/8, 5, -0.07, 0.4.\nAnswer: -0.5, -1\/8, -0.07, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/((-1)\/(-6)). Suppose 4*x + w*l - 8 = 0, 4*l = -2*x - l - 4. Find the first derivative of x - 5 + 5*b**4 - 3*b**4 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**0*r)*r)\/r*r)**(-3\/23))**5*(r**(-2\/5))**(3\/14)*r**5*r**(1\/9)\/r assuming r is positive.\nAnswer: r**(24439\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75112 and 436568?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35890)\/(-6) + 32\/6 + -6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/13 and -71\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -79 + -32?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 10 (c) 82 (d) -1.818 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 28 = 6*z. Let t(y) = -y**3 - z*y**2 - 14 - 4 - 15 + 6 - 2*y. Is t(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-116)\/30 + (-3)\/((-315)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i**2 - 5*i**2 + 3*i**2. Suppose -2*c + h = -7*c + 2655, -25 = -5*h. Let a(z) = -z - 530 + c. What is j(a(w))?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -747 - -2.\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5268046, -10536104, -15804166, -21072232, -26340302?\n\"Answer: -2*j**2 - 5268052*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 + 0*u + 0*u)*(-8 + 778*u + 4565*u + 8 - 201*u).\nAnswer: 10284*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 4. Let z be b(-2). Suppose -3*u = -z*u + 2*l - 6, -4*l = -5*u - 12. Let f = u - -5. Solve -f*p = -25, -2 + 8 = -3*m + 3*p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 15386539783*y**2 + 15386539825*y**2 + 6.\nAnswer: 42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9dd9 (base 14) to base 10\nAnswer: 27435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44815033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -9. Suppose -5*w + 9 = -0*p + 3*p, -u*p + 6 = w. Calculate the remainder when 4 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 223.307 - 223. Round d to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12306751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*n + 93*n + 5*x - 55 = 0, 84*x = 86*x - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.4632 rounded to two decimal places?\nAnswer: 8.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*f**3*y**2 - 2*f**3*y + 190*f**3 - 6579124*f**2*y**2 + 237664*y wrt y?\nAnswer: -8*f**3 - 13158248*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of ((-38)\/(-4))\/(1 + (-744)\/752)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -8 - (4\/(-2) + -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 861*q - 4. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2428868 and 2704?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9789 rounded to one dp?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/140 and -97\/42392?\nAnswer: 211960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3214 - 32301?\nAnswer: -41020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 19. Let m be l(-9). Let t = 52 - m. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 18*y**2 + 5*y - 85. Let l be u(18). Sort -4, 0, l, 2 in decreasing order.\nAnswer: l, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 4*p**2 - 3*p - 2. Let f be g(-4). Find the third derivative of 10*o - f*o - o**4 - 4*o**2 wrt o.\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 + 384 = 18*f. Let p be 19\/(-7) + (36 - f). Solve 8\/7 + p*a**2 + 8\/7*a = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k**(-21))*k))**(-23)*(k**(-22)*k)\/k*k\/(k**(1\/13)\/k*k*k)*k assuming k is positive.\nAnswer: k**(6005\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 3*u + 2*u + 0 + u + 0 + 3*u - 3*u - 2*u + (3 - 1 - 4)*(0 + 0 + u) + (4*u - u + 3*u)*(-2 - 1 + 2) + 0 + 0 - u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 110*s - 74113. Let h(y) = -y**2. Determine v(h(i)).\nAnswer: -110*i**2 - 74113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 plus 20453.1675?\nAnswer: 20451.4675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20897*f**2*i**2 + 2*f*i**2 + 31*f + 47*i wrt f.\nAnswer: -41794*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 - ((-12)\/5)\/(12\/(-30)) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, e: 2, d: 5}. What is prob of sequence eced?\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 31, 61, 95, 133?\n\"Answer: 2*m**2 + 24*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*h, 0 = -11*l + 14*l + h - 88. Which is bigger: l or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -3 - 1\/2*p**2 + 1\/3*p**3 - 1\/16*p**4 + 0*p. Factor n(z).\nAnswer: -z*(z - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*n + 288 = -163*n. Suppose 6*x = 2*x + 76. Suppose s - x = -q, -2*q - s = 2*q - 85. Calculate the remainder when n is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2696*r**3 - 192*r**2 + 23*r - 108. Let x(u) = 245*u**3 - 17*u**2 + 2*u - 10. Let c(q) = 2*t(q) - 23*x(q). What is the third derivative of c(s) wrt s?\nAnswer: -1458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*z + 9, -9 = -2*z + 5*z + 3*l. Let o(a) = a + 4. Suppose -15 = 4*p + 5. Let q be o(p). Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00408147 rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24562106.\nAnswer: 2, 31, 47, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8024, 16270, 24520, 32774, 41032, 49294?\nAnswer: 57560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c - c)*(45*c + 64*c + 53*c).\nAnswer: -648*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/365, -3.43, -3, 0.7, 3\/2?\nAnswer: 2\/365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1.2871284.\nAnswer: 3.8613852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {a: 1, z: 1, g: 1, t: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3. Let i(q) = -q**2 - 7*q + 5. Let z be i(-7). Suppose p - 4*u + 23 = 0, p = -3*p + z*u - 37. Put 3, g, p in decreasing order.\nAnswer: 3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 30*t**2 + 10*t + 102. What is the units digit of n(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.48442135 and -8.\nAnswer: -7.51557865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in minutes?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.215 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - f + 7. Suppose 0 = 4*c - 11*c + 63. Is k(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + 44. Let o(x) = -x**3 + 8*x**2 + 9*x + 2. Let n be o(9). Suppose -r + 4*d + v = 0, 71 = 2*r + n*d - 61. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**4 + 1072*h**3 - 20835*h**2 - 1298106*h + 28605960 = 0?\nAnswer: -1090, -36, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gogocrorsroo. Give prob of sequence crso.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -1552a4?\nAnswer: 1552a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 141.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 261 + -259. Solve t = -4*t + 5*d, 0 = -h*t - d + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 25.1. Let u = h + -0.9. Put 2\/9, u, -0.3 in ascending order.\nAnswer: u, -0.3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47399 + -27660. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 16. Let c be (j\/(-16) - -1)*-1*-124. Suppose 0 = -w + 4, v + w - c = 3*w. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3 - 150*f**2 - 61*f + 72.\nAnswer: 12*f - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 25*a**3 + 670*a**2 - 835*a + 140 = 0.\nAnswer: -28, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 134278617*k**4*v**2 - k**2*v - 8*k*v**2 - 2298392*v wrt k.\nAnswer: 3222686808*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 48. Suppose -f*a + 7*a = -345. What is the remainder when a is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 0)*-1 - sqrt(1053))**2 + (sqrt(1053)*-2*3)**2 - ((-1*sqrt(468))**2 - ((3 + sqrt(13))*1)**2).\nAnswer: 6*sqrt(13) + 41674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 11. Solve 2*v = 5*s + 18 + 10, 0 = -i*v - s + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61145\/16 - -11293\/16. Let a = q - -3095. What is the common denominator of a and -51\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-63)*28 - 2. Solve m = -3*m - 5*i - 6, -i + q = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w**2 + 2*w + 1. Calculate c(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -4. Suppose -494*n = -493*n - 1. What is the greatest common factor of x and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1875, 2427, 2979, 3531, 4083?\nAnswer: 4635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65751658.\nAnswer: 2, 7, 409, 11483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.026 + 0.026. Let f = 25 - 49. Let s = f - c. What is the second smallest value in 3, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 - 6*b**2 + 2*b + 11. Let q be l(-3). Let d = 25 + q. Solve 2 = d*x + 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 324 = 10*r. Is 54 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s. Suppose s = -i + 1 + 2. Let k be (-96)\/18*6\/(-4). Solve i*y = -k - 7 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0.4 (c) -48 (d) -0.2 (e) -4 (f) -0.16 (g) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 410?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -5*w - 5*k + k, -4*k + 50 = -3*w. Is 24\/w*138\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j - 17 = -4*q, 4*j = 5*q - 37. Solve 4*n = -6*b + 3*b + 15, -b + 2*n = q for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22380 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(22\/7)*b*b*b*b**(-2\/57)*b**(-29)*b*b*b**(-13\/7)*b assuming b is positive.\nAnswer: b**(-8678\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 19 + 3 = 0, -4*j - 2*i + 12 = 0. Suppose -3*r = j*f - 2 + 5, -5*r + 5 = 5*f. What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 - -171. Suppose -n - 3*n = q + 1, 5*n = q - 26. Let y(x) = 11*x - 21*x + 8 + q*x. Give y(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + h - 2. Let o(w) = 63*w**2 - 11*w + 22. Let x(n) = 22*b(n) + 2*o(n). Let i(m) = -2*m. Calculate x(i(a)).\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -6)*(3 - 1). Let y = h - 8. Which is greater: y or -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 3. Let z be ((-6)\/15)\/(2\/(-20)). Suppose a = z*a. Calculate i(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.34 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 325353 and 105.\nAnswer: 1626765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - 19*a**2 - a + 5. Let c be q(10). Suppose -c*j = -92*j + 816000. What is j rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 1. Let o(h) = -u*h - 3*h + 0 + 6*h - 4. Let q(s) = s + 2. Let d(i) = i**2 + 14*i + 30. Let f be d(-11). Calculate f*o(n) - 5*q(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 209474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-4\/7)*s)\/s**(-2\/41)*s**(4\/9)*s*s\/(s\/(s*s\/(s\/s**(1\/2)*s))*s) assuming s is positive.\nAnswer: s**(12511\/5166)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/15 + 13*m**4\/9 - 176*m**3\/3 + 600*m**2 - 91*m - 4. Factor s(h).\nAnswer: 4*(h - 6)**2*(h + 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 79 + -77. Suppose -o - 8 = -2*u. Solve 0 = i - 3*i - 3*a - 5, -i + u*a = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8*0)\/(-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-85)\/(-40) + 4\/(-32). Let q(g) = g**3 - g**2 - g - 2. Let j(b) = -3*b**3 - 14*b**2 - 14*b - 8. Let m(y) = c*q(y) + j(y). Give m(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1872) - 1*sqrt(1872)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -6?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*j - 3*j. Let g be 6\/(-1 - j) + 5. Let b(l) = l**2 - 4*l - 2. Does 6 divide b(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 960841387 to the power of 1\/5, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13719 and 8517.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11723654 (base 10) in base 5?\nAnswer: -11000124104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 - 160202*w + 6416170201 = 0. What is w?\nAnswer: 80101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*y + 5. Let p = y + 0. Let h = 10.2 - 10. Are p and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146628436 to the power of 1\/2, to the nearest integer?\nAnswer: 12109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 16*f**2 - 13*f - 37. Determine m(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/9)*j)**(3\/2)*j**(-5\/4)\/(j**10\/j) assuming j is positive.\nAnswer: j**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -0.41. Let k be (-1 - 0)\/(2\/(-8)). Let r = 14 - 57\/4. Which is the closest to r? (a) k (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 7 - 23 = 0. Suppose -13*q + 60 = 2*q. Suppose 4*y = 4, -q*y = -6*a + a + 161. What is the remainder when a is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 8 - 32 = 0. Let j be (-2 - 15\/(-9))*-6. Solve -3*g + 10 = 2*f, -z*f + 20 = g + j*f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*j + 230 = 60 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 9:19 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 - -69 - (-2 + 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 5*r + 2*d + 8, -3*d + 11 = 4*r. Solve -5*j - 3*u = -0*u + 1, 0 = 2*j - r*u + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404.3 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/9 + 6403*l**4\/3 + 92294416*l**3\/9 + 51204264*l**2 - 737817680*l\/9 - 368793616\/3 = 0. What is l?\nAnswer: -9602, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-5184)\/(-5040))\/(273\/(-117) - (-116)\/42)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -q - 6*q. Suppose 50*p + 120 = q*p. Solve -o + 5*t = 22, 5*t - p = 2*o - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(2 + -2). Suppose 3*c - 22 = -5*w, 0 = 2*c + 2*c + 3*w - 22. Let p(q) = 2*q + c*q - 5*q - 3. Calculate p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 20 = 0, b + 5 = -2*n - 10. Let j(w) = -7*w**2 - 5. Let k(h) be the third derivative of -h**5\/15 - h**3\/2 + 2*h**2. Determine n*k(l) + 6*j(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dpppdppp.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - 4*y - 12, 2*r + 0 = 3*y + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, -4, -11, -3 in descending order.\nAnswer: 10, 1, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*w - 28*w + 52. Suppose 5*p - 4*t = -0*p + 13, -t + w = 2*p. Suppose -p*b = -3*b. Sort b, -5, -1.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 16. Let l be 28\/(-6 - -10)*6\/x. Is 0.5 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, 24, 272, 8, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-18))\/(2\/6). Let a be v\/(-1) - 2 - 7. Let j = -4 - a. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41 + 51*k - 54*k**2 + 9*k**3 + 23 + 9*k**2 + 3*k**4.\nAnswer: 3*(k - 1)**3*(k + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42693 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 7, c: 2}. What is prob of sequence ooc?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45098056 and 744?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -368670, -368576, -368420, -368202, -367922, -367580?\nAnswer: -367176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-750)\/(-625))\/(2\/(-5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153a198 (base 11) in base 12?\nAnswer: -a70571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2\/7 of a week?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3848, -7713, -11578, -15443, -19308, -23173?\n\"Answer: -3865*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Let w(s) = b + s - 2. Let y(l) = -2*l + 5*l - 2*l. Calculate w(y(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 519 divide 8454788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 4. Let f be q + 4\/(4 - 2). Suppose -5 + f = i. Which is smaller: i or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -2*f - 239\/4*f**4 + 0*f**2 + f**3 - 3. Is 40 a factor of l(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1317185\/338 + -3897. Let y = g - 667\/3042. Suppose 3 = -5*j - 2. Which is greater: y or j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168566710?\nAnswer: 2, 5, 43, 709, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62928 divided by -684.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 5. Let j(h) = h + 3. Let b(n) = 5*j(n) + 2*s(n). Let t be b(0). Find the third derivative of f**2 - 2*f**2 + 2*f**2 + f**t wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -c**4\/24 + 5*c**3\/6 + 6*c**2. Give g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Suppose -5*f = -2*f - 72. Suppose -7*n + 4*n = -f. Solve u = h + 3*h + n, h + r = u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 smaller than -1731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1158586733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 553 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*x = -13 - 3, 5*x = -25. Put d, 5, -1 in descending order.\nAnswer: 5, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -380.\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 110, 2, -3, 3 in decreasing order.\nAnswer: 110, 3, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151376 is divided by 50457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1040 and -133\/312.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -5*w. Suppose w = -3*y - 4*r + 329, 2*y + 2*r = 7*y - 531. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74294 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -h + 2*h - 10, 7 = h - 3*x. Suppose -10*o + 3*o = -35. Suppose -9 - h = -o*v. What is the remainder when 19 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150841 and 4?\nAnswer: 603364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-3))**(2\/125))**(-6\/11) assuming o is positive.\nAnswer: o**(24\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 758490 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (28\/14)\/(-8*32\/(-9728))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 3*u - 32 = 5*d, 4 = -5*d - 4*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52938 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6711597 is divided by 8379?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182805 (base 9) to base 10.\nAnswer: 113648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 10*s**2 + 8*s - 2. Let a be z(-9). Suppose 0 = 2*v - 4*y - 36, -4*v - 34 = -a*v + y. What is the greatest common factor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -10*r + 100. Let s = -47 + r. Suppose 0 = 2*i - q - 7, -2*i - q = -s*q - 4. Solve -i*u = 5*j - 5 - 0, -2 = -u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 237*d**5 - 562*d wrt d?\nAnswer: 4740*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 2\/(1*-4)*6. Let r be (-4)\/6 - ((-276)\/(-126) - z). Factor 8\/7 + 2\/7*j**2 - r*j.\nAnswer: 2*(j - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5151*l - 178*l**5 - 5153*l - 69*l**5 wrt l?\nAnswer: -4940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yl when two letters picked without replacement from lyo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a microgram in nanograms?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9765820 to the power of 1\/2, to the nearest integer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w - 21. Let j be z(3). Let g be 224\/28 + (j - 0). Let m = 9 - -75. Calculate the highest common factor of m and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -104 - s**2 - s**4 - s**3 + 61 - 2*s + 52 to r*s + g + z*s**4 + q*s**2 + m*s**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275083490.\nAnswer: 2, 5, 11, 2500759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - r = -3850. Find the common denominator of r\/336 + (-1)\/(-6) and 21\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 + t**2. Let s(q) = 16*q - 2*q**2 + 0*q**2 - 16*q. What is l(s(b))?\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1029344100 to the nearest 1000000.\nAnswer: 1029000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*v**2 - 77*v**2 + 5 - 5.\nAnswer: 158*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:26 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*o - 61*o + 515 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -0*t - 12*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) - (-13 + 8 + 5).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -22*q + 20*q + 13, 0 = 5*q + 4*v - 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 - (30 + -43)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 60*u**2 + u + 4. Calculate g(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2*h**7\/105 - 7*h**6\/15 - 13*h**5\/15 - 194*h**2. Suppose g(j) = 0. Calculate j.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -946021*a**4 - 855801 wrt a?\nAnswer: -3784084*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6190\/3 + -2094. Let p = m - -31. What is the third biggest value in 5, p, 0.1, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -169 + 288. Let d be (12\/5 - 2)\/(7\/420). Suppose d = -5*c + a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Find the common denominator of (0 + -4)\/(1\/12) and (p + 0)*44\/36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*z**3 - 2*z + 0*z**3 + 11*z**3 + 4 + 2*z**2 + (-3*z**2 + 2*z**2 + 2*z**2)*(-1 + 4*z + 1).\nAnswer: 8*z**3 + 2*z**2 - 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*((-3)\/(-3))\/1)\/((-283)\/1011725*143).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + 110111?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaaj when four letters picked without replacement from aaajjaaaaaaajaaaaa?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*y = -56, 2*m + 3*y = -3*m - 0*y + 50 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 70*c**2 + 2*c + 3. What is v(-1)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1936 and 71\/1936.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*o - 255 = 0, -3*m + 202 = o + 27. Suppose -2*j + 5*i + m = 3*j, -3*i - 28 = -2*j. Solve -2*p - j = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 283668 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1833, -4027, -6239, -8469?\n\"Answer: -9*l**2 - 2167*l + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haadaaddaad. What is prob of picking 2 a?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*0.23.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 288, 430?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a gram in milligrams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 + 63. What is the second derivative of -9*z**y + 3*z + 12*z - 3*z**3 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2\/8 - 3939*w\/2 - 5171907\/2 = 0. What is w?\nAnswer: -2626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 1 + 2*s - s)*(33*s**4 + 7*s**4 - 24*s**4).\nAnswer: 32*s**5 - 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507638 is divided by 62804?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w**2\/5 - 2612*w\/5 + 1705636\/5 = 0. What is w?\nAnswer: 1306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t - 5*z - 309 = 116*t, 4*t + 4*z = 148 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k + 3*k - 5*k + (-3 + 0 + 1)*(-4*k - 3 + 3).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000045505 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 467729, 935449, 1403173, 1870901, 2338633?\nAnswer: 2806369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47721?\nAnswer: 3, 15907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*((t\/t**(-1\/4))\/t)\/t*t))**36\/((t**(2\/25)*t)\/t*t*t\/(t**(-2\/3)\/t)) assuming t is positive.\nAnswer: t**(-956\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3744 divided by 9\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11155.384 - -11349.9. Let t = r - 114.5154. Let w = 80 - t. What is w rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 3*b + 15, 4*s + 4*b = 8. Suppose -s*z - 54 = -5*z. Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ad64 (base 14) in base 6?\nAnswer: 351124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c, 0 = 5*b - 10*c - 5. Which is bigger: b or 1\/18716?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 649065, 649062, 649059, 649056?\n\"Answer: -3*j + 649068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 12*a + 15*a + a - 6*a + 7*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*q = 6*u - 19, -6 = 2*q. Suppose -17*y = u*y - 840. Let z = 102 + -67. Do y and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/138*(9\/24)\/(-3)*-6\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.00064 - -4. Round x to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d + 166. Calculate the remainder when 105 is divided by w(-34).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30113 divided by -2?\nAnswer: -30113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 0 to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 1 = 3*l, -2*d - 5*l = -5*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/7 - 8*a**3\/21 - 2*a**2\/7 + 5. Factor j(k).\nAnswer: -4*k*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 47, 3, -3\/16, 10313, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181166685283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 5:51 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**5 - 3*l - 6. Let y(i) = -i**3 + 8*i**5 + 3*i + 15*i**4 - i**4 - 14*i**4 + 5. Let f(k) = 5*p(k) + 6*y(k). Factor f(u).\nAnswer: 3*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -33) + (-10 - 1) + -9 + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 503544*r**4 - 1054506*r**2 wrt r.\nAnswer: 12085056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - 3*sqrt(136))*3)\/(sqrt(24)\/(sqrt(21)\/sqrt(7))) - (((sqrt(425) + 1)**2 - (sqrt(833) - (sqrt(833) + 1))**2) + ((0 + sqrt(17))*3)**2 + 0).\nAnswer: -578 - 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1106, 2144, 3184, 4226?\nAnswer: 5270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 9*h - 6. Let r be a(7). Let g(m) = m - 2. Determine g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30994260?\nAnswer: 2, 3, 5, 11, 151, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.038*-12\nAnswer: 0.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from nvneenvvn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 113b (base 13) in base 3?\nAnswer: 10022111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 261334 in 4, 4\/13, 0.25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = 3*a - 2, -k + 12 = -4*a. Suppose l + 6 = -k*i - 2, i + 20 = 2*l. Suppose -9*j + l*j = -2. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 363607?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00262 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (0 - -4) + -4)*-3. Suppose 0 = s + u - 7, 0 = 3*s + z*u + 2*u - 23. Calculate the remainder when 11 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 26*i - 30*i - r, 4*i + 14 = -2*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4122453 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 48\/23, -0.04, -1.2?\nAnswer: 48\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + (sqrt(19)*-2 + 2)**2 + (sqrt(1900) + (sqrt(1900)*-1 + sqrt(1900))**2)*-1 + (1 + 0 + sqrt(1900))**2.\nAnswer: 2*sqrt(19) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/(6\/(-2)))\/(-8))\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12*-5*(-9)\/(-810)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -22. Let b = 1 + l. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -457*u**3 - 11*u**2 + 166*u + 22. Let m(t) = 152*t**3 + 4*t**2 - 55*t - 8. Let z(g) = -11*m(g) - 4*s(g). Find the second derivative of z(j) wrt j.\nAnswer: 936*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 6. Let d be n(0). Let a = -16 + 9. Which is smaller: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -100*k + 96*k - 1, -3*w + k + 10 = 0. Solve -5*i - 13 = 3*g + 19, -w*g - i = 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -62. Suppose -3*a + 6*p - 10 = p, -4*a - 4*p = -o. Solve 0*d - a*d = -2*x - 31, -3*x = 9 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/8*12\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.04, -2\/9, 1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/7)\/(5\/350*15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:38 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463593778?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1266? (a) 3\/2 (b) -3 (c) -2\/5 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13374 + 13374.5381. Let c = r - 0.562. Round c to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 17*f**2 - 100*f + 4. Let p(q) = 104*q**2 - 598*q + 26. What is -2*p(a) + 13*r(a)?\nAnswer: 13*a**2 - 104*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o = -10. Let t = 2 - 3. Let l(k) = -3*k. Let w be l(t). Which is smaller: o or w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**5\/20 + 3*j**4\/4 + 3*j**3\/2 + 6*j**2 + 2*j. Let a be c(-8). Let g(w) = w - 4. Give g(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:40 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -844, -846, -848, -850, -852, -854?\n\"Answer: -2*x - 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21*d**2 - 29*d. Let q(j) = 22738*j**2. Calculate n(q(i)).\nAnswer: 10857349524*i**4 - 659402*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -g - 9, 2*g + 2*j - 26 = -36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 18. Let k be (-44)\/l + 3\/(-3). Which is the biggest value? (a) k (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -54, -6 in decreasing order.\nAnswer: -6, -13, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19608 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 6:45 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-five quarters of a litre?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsnjfgjd. What is prob of sequence fg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 2 + -5*(sqrt(891) - (sqrt(891) + -1))))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 + 5 = 4*y, 3*y = -5*f + 11. Differentiate -7 + 65*z**y - 54*z**2 - 6 + 6 with respect to z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, 4*l = -4*q + 21 + 11. Let c(h) = h**3 - 5*h**2 - 9*h - 3. Let j be c(q). Suppose -5*a = 4*r - 115, 4*r + a + 2*a = j. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 10, n: 6}. Give prob of sequence oozo.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4094406 to the power of 1\/2, to the nearest integer?\nAnswer: 2023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/sqrt(250) + sqrt(17) + (sqrt(17) + -2*sqrt(17))*-3 + 2)**2 - (sqrt(17) - (-6*sqrt(1377) + sqrt(17)) - (sqrt(17) + -4)*6)) + 1.\nAnswer: -156*sqrt(17)\/5 + 7022\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3 + -96)\/(0 - -1). Sort -1, 4, h, 1.\nAnswer: h, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 70 = -16*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/72*-3*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 114a (base 12) to base 13\nAnswer: b56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13868)\/(-62487) - 20\/90. Let i = -590163\/27772 - q. Let m = 10547493\/118 + -89385. Find the common denominator of i and m.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g*g**(1\/9))**(-5\/3)\/((g*g*((g\/g**(-6))\/g)\/g*g*g**(1\/2))\/(g\/(g*g*g**(1\/5))*g*g*g**(-2\/17))) assuming g is positive.\nAnswer: g**(-92591\/9180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**3 - 5*l**2 - 3*l + 3. Let m be h(-5). Let f = -90 + m. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121940 and 64454.\nAnswer: 4511780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -23 (c) 39\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/(((o**(2\/7)\/o)\/o)\/o)*(o**(-1\/3))**(-13\/2) assuming o is positive.\nAnswer: o**(499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**3*t**2 - 94*j**3*t + 1264*j**3 + 5*j**2*t**2 + 206*j*t**2 - j - 164*t**2 wrt j.\nAnswer: -42*t**2 - 564*t + 7584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11602 + 11550.56. Round b to the nearest integer.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 7*m + 3*x + 1 = 0, 6 = 2*m - 2*x. Let p be (m + -2)\/(1\/(-3)). Solve -4*j = -3*j + p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3237 - 3013. Calculate the remainder when 452 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3278 - 3?\nAnswer: -327b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -347234\nAnswer: -1041702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d627 (base 16) in base 8?\nAnswer: -1353047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(-4)\/(-16)*2. Suppose -2*r + f + 8 = 0. Let s(j) = -j + r + j + 0 + 4*j. Determine s(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-2 - -2)\/((-85)\/17). Let o = -26 - -16. Which is the nearest to z? (a) -1\/2 (b) o (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*s - 24 = 30 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6*b + 28 = 0. Suppose 2*u + a = b*u - 9319, -a = 4*u - 18641. What is u rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174198.1 centuries in months?\nAnswer: 209037720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6219644 by 1753.\nAnswer: 3548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280555?\nAnswer: 5, 11, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/5, 4, -1.3, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, k: 3, p: 2, q: 5, s: 5}. Give prob of picking 1 q and 3 l.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 42*j**2 + 17 + 12*j**2 - 15*j**2 + 4*j + 113*j**2. What is the tens digit of p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 + -23. Suppose 4*w = -4*f, w + 0*w = 5*f + n. Solve 4*b = -5*m - 0*m + w, -5*m = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2\/9 (c) -16778 (d) 0.1 (e) -1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q - 5*q + 62*q**2 + q as a*q**2 + b + s*q and give a.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9238.45 milligrams to tonnes.\nAnswer: 0.00000923845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 82, 2\/69, 0.4, 18\/11?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 245740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-9)*(-1)\/15*(43\/2 - 17). Factor 348\/5*n + z*n**2 + 15138\/5.\nAnswer: 2*(n + 87)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1287*y + 123238 = 1579*y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11102100 - -12020?\nAnswer: -11020010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6611 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/63710 and 9\/50968?\nAnswer: 254840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -715*x + 736*x + 21 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 2*d + 164. Give y(-17).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f**3 - 2*f - 26*f**2 + 26*f**2 in the form w*f + n*f**2 + a*f**3 + o and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 765*s + 86*s**3 + 143*s**3 + 388*s - 1153*s.\nAnswer: 229*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -26*r**3 - 5*r**2 + 9. What is the tens digit of q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.6. Sort -4, 178, s in ascending order.\nAnswer: -4, s, 178","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4.4. Let n = -0.1 - a. Sort n, -0.3, -4.\nAnswer: -4, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -583, -5, -1, 98, 2, 1 in increasing order.\nAnswer: -583, -5, -1, 1, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30193597 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/18*6\/9*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0 - 8, 5*a = 4*d - 8. Suppose -11*k + 12*k - 46 = a. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8032.391 milligrams to tonnes.\nAnswer: 0.000008032391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*o + 842*o - 439*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:26 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 7215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i - 5. Calculate the smallest common multiple of m(-13) and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116658289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (1\/3)\/(9305\/1860 - 5) and 6.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50163 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 288573 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/5010604 and -97\/380.\nAnswer: 25053020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 - -164. Let s be 2\/(-19) + (-287)\/y + -12. Solve h + 0 = s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 21*v**2 - 80*v + 3. Let s be o(-16). Suppose 4*t - 5*w - 25 = 0, -1 + 21 = s*t - 4*w. Solve t*b = 6*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22592 - 22592.38531. Round h to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99365819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20.5057548959 - 283\nAnswer: -303.5057548959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkk. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 55800019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0108143 to 5 decimal places.\nAnswer: -0.01081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654363160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 10:58 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 1. Let r(g) = 2*g + 1. Let o(z) = -z - 1. Let m(v) = 3*o(v) + 4*r(v). Let q be (-1)\/((-1)\/(-5))*1. Let w(l) = 4*l + 1. What is j*w(h) + q*m(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (9 + (3 - 6)) - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(5145\/14) + 952\/735?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6)*(6 - (3 - -3)). Solve v = t + 4*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(75))\/sqrt(5))\/sqrt(5) + sqrt(15)\/(sqrt(320)*-6).\nAnswer: 143*sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q + 1\/2*q**2 - 47. Determine d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4400 (base 8) to base 16.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08884*0.4\nAnswer: -0.035536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*1*5)\/(4*(sqrt(99) + sqrt(99)*2 + sqrt(99))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 + (-198)\/(-30))\/(18\/20). Let f = 0.012 - 5.012. Let r = 4.67 - -0.33. What is the nearest to g in r, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -59*q + 4. What is z(1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 45. Give x(17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 5 - (2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -2*b**4 - 17*b**2. Does 14 divide n(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -93*v**3 - 2*v + 3. Let z(r) = 186*r**3 + 3*r - 5. Let k(s) = 5*j(s) + 3*z(s). Is k(1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - x = -4*x - 115, 19*k - 6*k - 5*x - 282 = -51 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35972720 and 420?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-3) - 0) + (-33770487)\/(-477) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qrroyyriroroorry. What is prob of picking 1 i, 1 y, and 1 o?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 4*o + 13 - 17 + 2*o - o**2. Let f(u) = 2*u**2 - 7*u + 6. Let v be ((-6)\/10)\/(-3) - (-1260)\/(-175). Give v*h(y) - 5*f(y).\nAnswer: -3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*f - 5, 6*t = 4*t + 3*f - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015190.\nAnswer: 2, 5, 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfsckff. Give prob of sequence ps.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6646 times 33493\nAnswer: -222594478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 7)*(4*f**3 + 10*f**2 - 10*f**2) to j + u*f + s*f**2 + p*f**3 and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppqpppppppppppp. What is prob of sequence ppq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 4*s**2 - 2*s - 5. Suppose 5*b + 3*y = -32, -4*b - 6*y + 5*y - 20 = 0. Let o(n) = n**3 - 3*n**2 + 2*n + 4. What is b*o(v) - 3*z(v)?\nAnswer: -v**3 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**2 + 65. Let f(a) = 4*a. Give f(x(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - 25*x + 15. Let s be -4*5\/5 - -10. Let u be i(s). Solve r = -m - u + 1, 0 = 4*m - 5*r + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10\/9*x - 2\/9*x**3 + 0 - 8\/9*x**2 = 0. What is x?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9822899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 332, 2611, 8764, 20717, 40396, 69727, 110636?\nAnswer: 165049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**2 - 3*h - 13. Let i(b) = -3*b**2 - 2*b - 7. What is 5*i(p) - 3*l(p)?\nAnswer: 3*p**2 - p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + 3*g**2 + 13*g + 4*g**3 + 0*g**2 - 3*g**3. Let t be f(-9). Let b be (-18)\/t - 166\/(-4). What is b rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m**3 + m**2 - 1. Let g(n) = -35*n**3 - 1772*n**2 + 2. Determine g(v) + 4*x(v).\nAnswer: -3*v**3 - 1768*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mcmcmkm. What is prob of sequence km?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 10.5813 minutes?\nAnswer: 634878000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3912 - 3876. Solve -242*y = -251*y + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2116 by -3.\nAnswer: 2116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 21 = -4*o. Round o to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*x)*(-x**4 - 4*x**3 + 4*x**3) + (-25*x**2 + 16*x**2 - 21*x**2)*(-2*x + 2*x - x**3) + (0 - 2*x**4 + 0)*(-2*x + 4*x - 3*x).\nAnswer: 35*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**2. Let y(h) = 2*h**2. What is y(a(r))?\nAnswer: 98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1077)\/12 + 2 + 63\/(-28). What is the fourth biggest value in l, -3, -5, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 - 271. Suppose -5*o = 4*z + 7, -o + 4*o - i = -5*z. What is the remainder when 48 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 1, 21551?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8748.491kg in grams?\nAnswer: 8748491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = u + 16. Let j be u\/3*(-9)\/(-2). Let n be (j + 1)*(5 + -6). Solve 5*a + 35 = 5*l, 5*l = -n*a + 2*a + 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 151. Let v(b) = -6*b + 43*b - 7*b - 3*b - 25*b. What is r(v(z))?\nAnswer: -4*z**2 + 151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (13 + (-15 - -1))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 45*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/((sqrt(120)*-2)\/sqrt(10)) - (sqrt(2736) - (1*sqrt(2736) + sqrt(2736) + -2)) - (-5 + 0 + sqrt(931) + sqrt(931) + 0)*5)**2.\nAnswer: -2691*sqrt(19) + 262207\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, -394350\/7, 0.8?\nAnswer: -394350\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-9) - (20 + -25)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (13 - 3168\/121)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -9*t**2 - 6*t - 9. Let n(d) = d**2 + d. Let c(l) = -b(l) - 12*n(l). Determine j, given that c(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6026923 and 602.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 - 8*y**2 - 7*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13 in 3\/5, -2\/5, -2\/3, -1\/8?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 106305937292371?\nAnswer: -106305937292371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 1, -1 in ascending order.\nAnswer: -1, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -186 (c) -4 (d) 35 (e) -0.4 (f) 2 (g) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7452054 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 4*z**3 - 2*z**3)*(6 - 6 - 4*z**2) + (24 - 24 + 29*z)*(z**2 - z**2 - 2*z**4) - 2*z**5 - 9*z**2 + 9*z**2.\nAnswer: -64*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + b + 1. Let n(y) be the third derivative of y**5\/30 - 5*y**4\/12 + y**3\/3 + 7*y**2. Let g be n(4). Let i be 4\/g*15\/10. What is x(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 11. Let l be t(15). Let u(w) = w**2 - 3*w + 10. What is the remainder when u(l) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -52. Suppose -j + 47 = -4*m, 2*m + p + 56 = 4*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*a = 5*a + 2, 0 = -5*r - 4*a + 26. Let z be (r + -2)\/(2 + -1). Solve -g + 5*g + 8 = z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -3*y**2\/2 + 9*y - 39. What is h(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 - -201?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125, 124, 123?\n\"Answer: -q + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/3001 (b) -2\/7 (c) 0.1 (d) -1 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 2*m**2 + 5*m + 2. Suppose -20*p = -16*p - 20. Does 14 divide c(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*t**2 - 2308*t + 2308*t.\nAnswer: 34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2382923 divided by 19\nAnswer: 125417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303710?\nAnswer: 2, 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {s: 2, u: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -817*f**2. Let i(m) = 2*m**2. Calculate t(i(h)).\nAnswer: -3268*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -11*v - 43*v. Suppose -v*l + y = 347, 52*l - 47*l = -3*y - 339. Is -64 at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**2 - 5*v**2 - 10*v**2 - 15*v**2.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7666188?\nAnswer: 2, 3, 109, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + m + 3*i + 214, 5*m + i - 277 = 0. Find the second derivative of 3*c**2 + m + 8*c - 55 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 2*q**2 - 12*q - 50. What is m(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -13*b - 3. Let t be u(3). Let h = t + 115. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3766, 7456, 11142, 14824, 18502, 22176?\nAnswer: 25846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 12*m**2 - 10*m + 14. Let f be d(-11). Let r = 7856 + -172875\/22. What is the common denominator of (0 - 67\/f)*48\/(-160) and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*l + 817 + 160 = 23 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*d - 1267 - 2181 = 694 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -350266, -700562, -1050858, -1401154?\nAnswer: -1751450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -12*u**3 + 2*u**2 - 76\/5*u**5 - 35 + 4*u**6 + 0*u + 21*u**4. Solve o(h) = 0 for h.\nAnswer: 0, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231332013003 (base 4) to base 13\nAnswer: -265c200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 8, -4, 3, -323, -2, -5 in ascending order.\nAnswer: -323, -27, -5, -4, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*0.0650205\nAnswer: -0.1560492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.59323134 from 0.4.\nAnswer: -0.19323134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 90 = -14*q. Put -5, 50, -4, q in descending order.\nAnswer: 50, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 - 34*i - 26. Let w be g(-16). What is the highest common factor of w and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 6*d + 7)*(686 - 686 + 309*d + 3*d - 2*d - 3*d - 2*d + 1 - 1 + (2 - 2 + 2*d)*(-1 + 2 - 3) - 3*d - d + 3*d - 1 + 2*d + 1 + 2*d - d + 0*d).\nAnswer: 1818*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13478513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 7a?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 185821 is divided by 37157.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -187 - -443. Let n = u + -176. Let i = 144 - n. Does 32 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.2. Let q = -1.7 - -0.7. Which is the smallest value? (a) q (b) -2\/13 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16619741 or -16619761?\nAnswer: -16619741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {z: 2, i: 1, p: 2, q: 2, b: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 12*r + 12. Let t be h(-8). Suppose 5*d = -2*i + 60, 6*i - t = i - 2*d. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 17771 - (-7)\/2*176\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -219 and 1.8.\nAnswer: -394.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 2*b = 984. Let c = b + 21. What are the prime factors of c?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.6 + -48.19. Let d = -21 - s. Round d to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40478 or -10687?\nAnswer: -40478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03847117 rounded to five decimal places?\nAnswer: -0.03847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9948, -9955, -9966, -9981, -10000?\nAnswer: -10023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47240.22 rounded to the nearest 10?\nAnswer: -47240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**3 - 36*a**2 + 6204*a + 25200 = 0?\nAnswer: -50, -4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 - 10*d + 10. Calculate q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*r - 3 = 0, -2*g + 0*g = 2*r. Find the third derivative of 44*n**2 - 3*n**3 - 2*n**g - 45*n**2 wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -2. Let x(q) = -q**3 - 41*q**2 - 21*q - 2644. Calculate the remainder when p is divided by x(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 2\/(-4) - 1315\/(-526). Let b be 2\/((1 - 3)\/(-2)). Suppose 2*v - 9 = 5*n, n + 0*n - x = -b*v. What is the second biggest value in n, 4, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -14. Calculate the remainder when (-18 + 0)*-3 + 3\/3 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000384689 rounded to six dps?\nAnswer: -0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 254144 divided by 4\nAnswer: 63536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.18 (b) 4 (c) 0.5 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63858 + -63857.99944469. Round l to five dps.\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46\/21*21 - 9\/((-45)\/(-70))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1900)\/(-57)*3\/(-2). What is the second smallest value in -0.4, b, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3674 and 98196.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 85.2 - 85. Which is the closest to k? (a) -0.3 (b) 13 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 27*p - 2 + 13.\nAnswer: 27*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*x**2 + 27*x**2 - 46*x**2 - 44 + 70*x**2.\nAnswer: 3*x**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30105 and 40068.\nAnswer: 44675820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 - 7*v**2 + 4*v + 77. Let l(s) = -s**3 + s**2 + s + 11. Let u(h) = i(h) - l(h). Determine u(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzut when four letters picked without replacement from {y: 7, g: 2, t: 3, z: 7, u: 1}?\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55626?\nAnswer: 2, 3, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -29*s**2 + 30*s**2 + 2 - 4*s**3 - 4*s - s. Let a be o(3). Let b = -94 - a. Solve 5*q = 2*m + b, -3*q + 22 = -6*m + 2*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3*p + 18, 12*z = 14*z - 4*p - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 79, -4, -5, -0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 80. Suppose 125*c - 52 = 127*c. Let m be n(c). Solve 7 = 4*j + 3*i, j - m*i - 1 + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(19) + 1 - sqrt(228)\/sqrt(588)) + (sqrt(76)\/(sqrt(12)\/sqrt(3)) - ((sqrt(209) + -3*sqrt(209))\/sqrt(11) - sqrt(19)))**2)*-3.\nAnswer: -915 - 39*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.64 times -1.3?\nAnswer: -0.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/2)\/(5\/(-10)). Let z = 2 + f. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 0*l**2 - 1 + l**2 + 1. Let b(u) = -91*u - 88. Let y(w) = 61*w + 63. Let i(v) = 5*b(v) + 7*y(v). Determine f(i(c)).\nAnswer: 784*c**2 - 56*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2 - 17. Let h(y) = -3*y**2. Give x(h(i)).\nAnswer: 45*i**4 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 9*y + 3. Let q be c(5). Let v = 5 - 16. Let a = v + q. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 3. Let b be o(6). Let x(u) = -u**2 + 5*u - 4. Let s be x(b). Suppose -4*n - 1 = -2*p + p, 4 = 4*p + s*n. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 7:27 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 5*o**2 + 2*o - 6. Let d be a(4). Let l be (-1 - 3)*18\/(-4). What is the highest common factor of l and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 23167 = 16*j - 20*j, -5 = n. What are the prime factors of j?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.15*26672.61\nAnswer: -4000.8915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35 or -450\/13?\nAnswer: -450\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -726, -1307, -1884, -2457, -3026?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**2\/2 + 2*z + 4. Calculate y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*r - 165430 - 66910. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 587 (b) 2 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c + 10. Suppose c*o = 4*w + o - 264, 3*w - o - 188 = 0. Is w a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*o - 7, 4*o = 623*t - 621*t - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170448981.\nAnswer: 3, 19, 2990333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2834 and 179759203.\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 987?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210939.2 rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 4*1)\/(-5 + 1330\/210). Solve 0*x - q*d + 3 = -3*x, 5*d - 20 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -1370, -2056, -2742?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + 1*sqrt(39)*-1)\/(4*sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758 = 4*g - 2*r - 4188, -3440 = -4*g + 4*r. What are the prime factors of g?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**2*j**3 + 37*g**2 - 78*g*j**3 - g*j + 3*j wrt j?\nAnswer: -42*g**2*j - 468*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1251 - 4*q + 6*q - 3*q.\nAnswer: -q + 1251","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 8*p - 105. Suppose -p*b + 967 + 746 = 2*k, 3*k = b + 2595. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 3, a: 1, t: 3, x: 1, y: 1}. What is prob of sequence yxf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -11*i**3 - i**2. Let b be n(-1). Suppose b*y = 4*y. Suppose -5*o + 58 + 237 = y. What are the prime factors of o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 1036 = 64*h. Solve -h = 3*u - 14 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aat when three letters picked without replacement from ajtjzjzjoajz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 5930\/(-770) - (-8)\/(-14).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -629.576 to the nearest 10.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 1:25 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-888)\/(-435))*(-1 - 1). Let i = -14\/29 - y. Sort 13, i, 4, 2 in ascending order.\nAnswer: i, 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1244 + 1258. Sort 3, h, 1 in increasing order.\nAnswer: 1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 1:34 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 3*s - 10. Let u be d(2). Let b(p) = p - u - 2 + 14. Let y(l) = 8*l**2. Calculate y(b(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1b7a7 (base 12) to base 15\nAnswer: -c1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.038 - -0.0380041. Round v to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 20 = -2*y, 3*u + 2*u + 25 = -3*y. Let h(r) be the first derivative of 1 - 1\/2*r**2 + y*r. Let k(v) = v. Determine k(h(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.01850284 to two decimal places.\nAnswer: 7.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -2022\/23, 0.3, 6\/13?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -3*r**3 - 84*r**2 - 160*r. Let f be h(-10). Calculate the greatest common divisor of f and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-15\/4)\/p)\/p)\/p**(7\/3) assuming p is positive.\nAnswer: p**(-97\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 12 = -3*x. Suppose -p + 90 = x*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 16*t**2 + 12*t. Let l(z) = z**2 - z. Calculate -12*l(s) - r(s).\nAnswer: 2*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -620*l**2 + 175*l - 5.\nAnswer: -5*(4*l - 1)*(31*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6.661324 nanometers?\nAnswer: 0.000000000006661324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - 3*x**4 + 2*x**4)*(-1 + 6 - 4) + (-2*x**2 - x**2 + 12*x**2)*(-5*x**2 + 5*x**2 - 2*x**2)*(1 - 4 + 1).\nAnswer: 34*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 7}. What is prob of sequence ww?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 3*d)*(3*d - 2*d - 3*d) - 34*d**2 + 403*d**2 + 322*d**2 + d**2 - 4*d + 4*d - 2*d.\nAnswer: 694*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 1132700496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 55*o + 8134. Give t(-148).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 120 = 372 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d20 + 1b4?\nAnswer: -2b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -6*w**2 + 13*w. Let u be (-3)\/2 - 225\/6. Let g(l) = -l**2 + 2*l. Let r(q) = u*g(q) + 6*h(q). Let v(n) = 17*n**2 - 12*n**2 - 3*n**2. What is v(r(p))?\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 103 = 3*n, 5*n - 28481*s + 193 = -28490*s for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*((-20)\/(-45))\/(2691\/(-14904)).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:00 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 64*k**2 + 12 - 2 - 29*k - 25*k**3 + 5*k**4 - 6*k - 56*k**2 + 37*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*i**3*t**2*w + i**3*t**2 - 25*i**3*t - 5*i*t**2*w - 10*i*t*w - i + t*w - 1 wrt t?\nAnswer: -104*i**3*w + 2*i**3 - 10*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(60)*-3)\/(sqrt(2) - sqrt(128)\/sqrt(4)))\/(sqrt(150) + -4*2*sqrt(150) + sqrt(150) - (sqrt(150) + 2*sqrt(150)*-2)).\nAnswer: -sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - 56. Let n = y - -23. Let o be (2 - (-8)\/(-6))*n. Solve 2*z = -3*i - 17, z = o*i - 2*i + 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -150*q + 126 - 576. Sort q, -5, -6, -2 in descending order.\nAnswer: -2, q, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 plus -0.01?\nAnswer: 12.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318232659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*y**3 + y**2 - 79*y + 15.\nAnswer: (y + 1)*(5*y - 1)*(19*y - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5697, -15\/4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 5*z**2 + 8*z - 6. Let j be r(6). Does 14 divide 3 - (-100 - (-30)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 3 = 7*k + z, 5*z - 10 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, q: 2, m: 1, p: 1, u: 1, w: 1}. What is prob of sequence wmup?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 7*p = -3. Suppose 5*a - p*c = -72, -4*a - 2*c - 5 = 35. Which is smaller: -13 or a?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11001, 7461, 3921, 381, -3159?\n\"Answer: -3540*b + 14541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-40))\/(1\/(-2))*4*2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 332135 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(160)*-2 + sqrt(160))\/(2*(sqrt(1152) + sqrt(1152)*-2)).\nAnswer: -11*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88185 is divided by 22044.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1344c - -753?\nAnswer: -12ad9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 140678270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5230371.\nAnswer: 3, 1743457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, g: 2, o: 11, q: 5}. Give prob of picking 2 h and 1 o.\nAnswer: 11\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y**2 - 12*y - 10. Let w(i) = i**2 - i - 1. Calculate -j(s) + 10*w(s).\nAnswer: 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 2952616?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbd when four letters picked without replacement from baddiddibddii.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d3cb (base 14) to base 4.\nAnswer: -20321113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*p - 47*r + 1819 - 1898, 4*r = 2*p + 50 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16\/168*-18*(-56)\/(-240)*6\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 - 6*d - 45. What is the remainder when u(7) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*w = -146*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -3*v**6\/5 - 24*v**5\/5 - 44*v**4\/3 - 64*v**3\/3 - 16*v**2 - 8*v. What is p in a(p) = 0?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -1, 1236?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(63\/12)*63\/(-198)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z**2 + 2512*z + 27596. Calculate i(-11).\nAnswer: 1295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -11*c - 7. Is 24 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + -2.4. Suppose 0 = -9*z + 6*z + 6. Let j = 2 - z. Which is the third smallest value? (a) j (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9379, -18757, -28129, -37489, -46831?\nAnswer: -56149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -119687.597 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**3\/5 - 3388*z**2\/5 = 0?\nAnswer: 0, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22446, -22507, -22618, -22785, -23014, -23311, -23682, -24133?\n\"Answer: -x**3 - 19*x**2 + 3*x - 22429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 228885856 divided by -31048?\nAnswer: -7372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 - 2*r. Let l(n) = -n. Let b(g) = 2*l(g) - v(g). Let i(f) = 7*f. Let z(q) = -11*q. Let w(j) = 8*i(j) + 5*z(j). Give w(b(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1212432, -1212440, -1212448?\n\"Answer: -8*l - 1212424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 125489636200 to the nearest 1000000.\nAnswer: 125490000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from ebhbibkaehiie?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 12 - 27 = 0. Suppose -9 = 2*p - h. Let n be p\/(((-9)\/8)\/9). Calculate the greatest common factor of n and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1309392*h - 20950259. Give z(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/85 (b) -0.08 (c) 147 (d) -68\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 32 = 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 - 4*h**3)*(-3*h + 4*h - 3*h) + 4*h**4 + h**4 - 6*h**4 + (0*h**3 + 4*h**3 - h**3)*(0*h + 4*h - 2*h).\nAnswer: 11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-23)*(30 + (-24617)\/824).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399061381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 692026 (base 11) in base 12?\nAnswer: 451025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 - 225678*n + 451344.\nAnswer: 3*(n - 75224)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/72 and -77\/480.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51bf (base 16) to base 12.\nAnswer: -1013b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 58 = 5*q, -89*l = -94*l + q + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6b (base 14) to base 6\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**6\/40 - 7*q**3\/6 + q. Let i(k) be the second derivative of x(k). Let h(a) = -2 + 30 + a - 28. What is h(i(o))?\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -22. Let a(c) = -6*c**2 - 7*c + 7. Let s(o) = -2314 + 74665*o**2 - o - 74666*o**2 + 2315. Calculate x*s(y) + 4*a(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-36)*(1740\/(-100))\/29.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.1, -3, -0.08, 2\/45?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*z**4\/9 + 4134*z**3 - 119800*z**2 + 740584*z\/9 + 100160\/3 = 0. Calculate z.\nAnswer: -2\/7, 1, 30, 2504\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -173605 rounded to the nearest 100?\nAnswer: -173600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293752.\nAnswer: 2, 73, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + p = -8, -2331*l + 2333*l - 20 = 4*p for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -6. Suppose s - 7 = -v, -4*v - 2 + 6 = -o*s. What is the third derivative of 5*t**6 - 14*t**2 + 18*t**2 - 3*t**6 + v*t**6 wrt t?\nAnswer: 600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 5, -2486 in increasing order.\nAnswer: -2486, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14756 - -14856. Sort 10, -3, y in decreasing order.\nAnswer: y, 10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**3 + 2 + 28*k**2 - 2\/3*k**4 + 2\/15*k**6 + 0*k**5 - 28*k. Find the first derivative of l(o) wrt o.\nAnswer: 16*o**3 - 16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 9*h**2 - 184*h - 189. Calculate d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -81. Solve -2*v + g + 12 = 0, -j = 5*v + g - 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139504 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3000, 3004, 3008?\nAnswer: 3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3389.047ng?\nAnswer: 0.000003389047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2516, 2496, 2480, 2468?\nAnswer: 2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -18*h**3 - h - 1. Let q be g(-1). Let l(i) = -i + 23. Let m be l(q). Suppose -8*o = -13 + m. Let t(p) = 15*p + 1. Calculate t(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 15, e: 4}. What is prob of sequence ep?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**2)**36)**29 assuming r is positive.\nAnswer: r**(-1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -165, 0.08, -0.1, -0.14?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 407 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1668144 and 49627284.\nAnswer: 198509136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28138330 to the nearest integer?\nAnswer: 5305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 1, w: 1, c: 1, x: 8, d: 4}. What is prob of picking 1 d, 1 m, and 1 y?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 20.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -47, -67, -4, 52, 4 in decreasing order.\nAnswer: 52, 4, -2, -4, -47, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1505*s + 2. Let b be i(-3). Let z = b - -36173\/8. Find the common denominator of -79\/2 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -11 - (-3 + 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -11*f**2 - 17*f + 9. Let z(l) = -5*l**2 - 8*l + 4. Let x(p) = -6*q(p) + 13*z(p). What are the prime factors of x(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*o + 29, -4*o = 4*v - 2*o - 30. Let f = 61 - v. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-15))\/(1\/(-3)). Suppose -2*p + p = -3*f - 128, 0 = p - 4*f - 129. Suppose h*m + g - p = 0, -m = 3*m + g - 255. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -665461 minus -0.1?\nAnswer: -665460.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 426\/30 + -1 + 2\/(-10). Solve -5*l = -2*l - p, -l = 4*p - y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 371463 and 41356214?\nAnswer: 124068642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 83.\nAnswer: -6\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11319807*n**4 + 10435*n - 466 wrt n?\nAnswer: 135837684*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191 and 1522.\nAnswer: 290702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2a1 (base 14) to base 3\nAnswer: -201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20385540, 40771082, 61156626, 81542172, 101927720, 122313270, 142698822?\nAnswer: 163084376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293884043?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125578 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b**3 + 2*b**2 - 3*b + 2. Suppose -4 = -2*j - 2. Let i be v(j). Put i, 5, 0 in increasing order.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/4, -0.415, -4?\nAnswer: -0.415","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 576 or 571?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 7*s**6\/180 + 19*s**5\/90 + 2*s**4\/9 - 4*s**3\/9 - 2*s**2 + 17. Solve p(u) = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -44, -4, -15.\nAnswer: -44, -15, -14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y - 3*y**2 - 62*y - 157*y - 10*y**3.\nAnswer: -10*y**3 - 3*y**2 - 253*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 37*k + 12. Let r(t) = 7*t**2 - 74*t - 21. Give -3*r(a) - 5*z(a).\nAnswer: -6*a**2 + 37*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3150 and 631512?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 4\/5, -2\/13, -3, 697.\nAnswer: -3, -2\/13, 2\/19, 4\/5, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1852\/1749 + -24\/53. Are 2 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 3*u**2 - u - 2. Let b be l(4). Let j be (-6)\/4 - (-215)\/b. Suppose j = 5*x - 2*h - 2*h, -65 = -5*x - 5*h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1432430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.04 + 0.04. Let t = 7 + -7.4. Which is the second smallest value? (a) t (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -373.164447 to 2 decimal places.\nAnswer: -373.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -10, 58, 230, 542, 1030, 1730, 2678?\nAnswer: 3910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328123 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*g = 80*g - 156. Let a(h) = -5*h**2 - 48*h - 26. Let c be a(-7). Calculate the highest common factor of c and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-1)\/(-10) + (-231)\/(-840)*-116\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, v: 5, a: 3, n: 5, k: 4}. Give prob of picking 2 y and 1 k.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*796.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 771151241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 24*t + 77. Let h be o(27). Suppose 0 = -6*u + 3*u + 12. What is the closest to -0.2 in h, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - -15. Let m = -13 + d. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 4*r**2 - r - 2. Let a be h(3). Let k(g) = a + 3*g - 1 + 0*g**2 + g**3 - 2*g**2 - 2*g**3. Suppose 2*p = 6*p + 12. What is k(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609.999999738 - 610. What is q rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36582 * -0.5\nAnswer: 18291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 262333495 to the nearest one million.\nAnswer: 262000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698586 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*o - 40, -5*o - 10*i - 65 = -2*i. Let d(g) = 10*g**2 - 5*g - 5. Let m(j) = -6*j + 24*j**2 - 10*j**2 - 6 - 4*j**2. Calculate o*m(r) + 6*d(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**9*(i**(1\/3))**16 assuming i is positive.\nAnswer: i**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8662\/9765 + 2\/1085. Find the common denominator of n and -79\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 712 and 494662?\nAnswer: 1978648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 82\/1575 and 29\/49805.\nAnswer: 2241225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9381?\nAnswer: 3, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14 - 272?\nAnswer: -25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 times 584?\nAnswer: 82344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11016*r**3 - 637044 + 637044.\nAnswer: -11016*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/9 - 32612*r**2\/9 + 130997824*r\/9 + 15915118784\/9 = 0?\nAnswer: -118, 8212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (12\/66 - (-2751)\/539). Let w = -0.1 + -0.1. Let s = 0 + w. Which is the third biggest value? (a) t (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 155\/434*21\/(-6). Which is the closest to 10? (a) m (b) 1\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 31*n**6\/30 - 7*n**3\/2 - 39*n. Find the second derivative of l(o) wrt o.\nAnswer: 372*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1264291 and 4905?\nAnswer: 56893095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41574663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 9 = 4*c - 3*q, q = 3. Solve -7 = -5*i + 4*j + 38, c = -2*j - 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 - 6*d**2 + 5*d.\nAnswer: d*(d - 5)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*f - 15*f + 2*f + (-2*f - 2*f + 3*f)*(4 - 4 - 5))*(f + 2*f + 24*f) to the form u + d*f**2 + j*f and give d.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -534931*o**4 + o - 3 + o**3 + 534930*o**4 + 1 - 152*o**2 as j*o**3 + s*o**4 + b*o**2 + a + r*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + j - 4. Let q = 7 - 12. Let d = 1 + q. Does 3 divide w(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1069 and 92711?\nAnswer: 99108059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -325*k + 502*k + 3 - 1 to the form f*k + s and give f.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484481?\nAnswer: 53, 46877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggdgdgggggggdgggd. What is prob of picking 1 g and 1 d?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 1\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-54)\/20)*(-396)\/88\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2 + 2)*(0*v + 0*v + 2*v) + 96*v**2 + 96*v**2 - 176*v**2 + 54*v - 15 - 3*v**2 - 54*v.\nAnswer: 19*v**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 9, y: 3, x: 4, i: 2, f: 1}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6347495026.\nAnswer: 2, 2897, 1095529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - t**3 - 5.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.4508?\nAnswer: -0.09016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3*u**5\/25 + 9*u**4\/10 - 7*u**3\/5 - 9*u**2\/5 + 24*u\/5 - 612. Suppose v(g) = 0. What is g?\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 158 = -133 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 6*z + 6*z - 91 - 20*z.\nAnswer: -3*z - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1866843l in millilitres?\nAnswer: 186.6843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 277*x**6\/15 + 79*x**3 + x - 200. Find the second derivative of f(k) wrt k.\nAnswer: 6648*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77529 - 77528. Let k(r) = 6*r + 4. Let w(h) = -2*h + h - 1 + 2*h. What is p*k(s) + 4*w(s)?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3768 minus 157?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313324330 + 1?\nAnswer: -313324325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1787749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -15*x**5 + 14034*x**4 - 3293754*x**3 + 5236932*x**2 - 648663*x - 1308534 = 0.\nAnswer: -2\/5, 1, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 1168.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 477777, 955564, 1433351, 1911138, 2388925, 2866712?\n\"Answer: 477787*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1478\/7 - 211. Sort -6, -2, o, 1 in descending order.\nAnswer: 1, o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56675 is divided by 1955?\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z**2 - 3 + 2*z + z**2 - 2*z + 2 - 2 + 2*z**2 + (z - 2*z + 2*z)*(2*z + z - z) + 3*z**2 + 0*z**2 - z**2)*(2 - 2 - 3*z).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.638 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43470 is divided by 613.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 48\/61 (b) 22 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1017 - 1023. Sort f, 1, -3, 7.\nAnswer: f, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 8*s**2 + s. Determine x(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -82. Let r(f) = -f**2 - 15*f + 16. Let v be r(-16). Suppose -h = -v*u - 3*u. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22010021010 - 11?\nAnswer: -22010021021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**3 + 5*b**2\/2 - 4*b - 1796. Let l be 0 + 1\/((-2)\/(-6)). Is g(l) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31743892 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) - (1 + -2). Suppose 2*m + 8 + 6 = -5*h, -2*m = h - 2. Suppose -1 = -m*g + 14. Which is the third biggest value? (a) g (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.1, 0.2, -3, 0.0188, -1\/29?\nAnswer: 0.0188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 50 (b) 3 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 2*m**2 + 2*m + 1. Let u be z(1). Which is the nearest to u? (a) 2 (b) -1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 667 and 1833583.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 4*o**2 - 9*o - 7. Determine s(-6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d = -32*d + 28. Solve j + h - 15 = 6*h, 3*h + 9 = d*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4, -11, 9, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 11:49 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.35 - -2.35. Put k, 5\/2, 0.1 in decreasing order.\nAnswer: 5\/2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let y(c) = -c**2 - 3*c - 2. Determine -4*j(w) - y(w).\nAnswer: -3*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 110*c**3 - 110*c**3 - 3*c - 93*c**4 - 2 wrt c.\nAnswer: -1116*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 146 = -3*x. Let p = x + 161. Let f(a) = a**3 - a**2 - 2*a - 1. Let k be f(3). Calculate the greatest common factor of p and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 32925.91mm?\nAnswer: 0.03292591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(605) - (-3 + sqrt(605)) - (sqrt(405)*6 - sqrt(5)))*5.\nAnswer: -1325*sqrt(5) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 14. Let z(q) = -y + 1 + 5 - q. What is z(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6 - (-1 + 1)) + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1607245074*-0.2.\nAnswer: -321449014.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281, 565, 851, 1139, 1429, 1721?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 54, 94, 148, 216, 298?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.8 - -0.2. Let d = 1 - g. Let u be (6\/8)\/(162\/48). Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from qufffwqqfuqffqukkqq?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2\/3 + 127916*o\/3 + 255784 = 0. Calculate o.\nAnswer: -31973, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, e: 4, p: 1}. What is prob of sequence peg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -12\/13*s**2 + 13 + 8\/13*s - 2\/13*s**4 - 10\/13*s**3. Solve v(q) = 0 for q.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5219 - 28996 = -31*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -48? (a) -0.2 (b) 3 (c) 2\/11 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*30\/(-36)*3*6\/10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*f = -6, 4*k - 79*f + 21 = -82*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -274, -276, -276, -274, -270, -264, -256?\n\"Answer: i**2 - 5*i - 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/38385 and -47\/153.\nAnswer: 652545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 - 2*d - 2. Give m(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514 divided by -615.\nAnswer: 514\/615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 198*k**2 + 5208*k - 53312.\nAnswer: -2*(k - 119)*(k - 8)*(k + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19059658 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4325791 = 66*b + 1015363. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163*o**3 - 155*o**3 + 2*o + 59*o**3 - 96*o**3 + 2480 - 1173 wrt o?\nAnswer: -1065*o**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -1\/20*f**5 + 1\/3*f**3 + 0 + 0*f**4 + 2*f**2 + 0*f + 1\/30*f**6. Calculate the least common multiple of b(2) and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 2. Let f(l) = l - 1. Let a(i) = -2*f(i) - t(i). Let m(h) = -h**2 - 3*h + 6. Let z(d) = -3*a(d) - m(d). Calculate z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrbbbrs. Give prob of sequence rrs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o - 5. Let i = 0 + o. Let m be -2 + (-4 - -3) - i. Does m = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + q + 54 = -23, -q - 116 = -3*y. What is the remainder when 230 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -104154 + -4?\nAnswer: -104160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.86446 + -0.01216. Round j to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2935 - 2923. Solve -8 - x = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - s - 699 = 0. Let a = -163 + s. Let z be (2\/(-2))\/((-10)\/a). Solve -b + 3 = z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*t + 205 = 5*w, 3*w + 3*t = 123. What is the tens digit of w\/(-2)*14\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.9. Let z = 18 + -9. Suppose 5*m = z + 16. Which is the second biggest value? (a) s (b) m (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.2. What is the nearest to h in -3, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.101 + 0.301. Which is the closest to 2? (a) 1 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + -289\/2. Let k = 573\/2 - 2379\/8. Calculate the common denominator of k and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-6 - -7) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -78*w**2 + 1316*w + 673. Determine m(18).\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -27.75. Let q = u + 4.75. Which is the biggest value? (a) 0 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 15 = -2*f, 29 - 32 = -2*f - 3*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -1693?\nAnswer: -5079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 29\/2, 0, 2\/13, -5, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.368 + -0.23. Let g = u + -0.238. Which is the second biggest value? (a) -3\/4 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 5*g**2 - 9*g - 7. Is 8 a factor of a(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 7. Suppose -l = -0*l - 8. Let b be s(l). What is the highest common factor of 45 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 7*k**4 - 10*k**3\/3 - 6. What is the third derivative of n(t) wrt t?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 128, 942, 2326, 4292, 6852, 10018?\n\"Answer: 2*t**3 + 273*t**2 - 19*t - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-950)\/38 + 50133 - (10 - 1)?\nAnswer: 7, 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 72, 163, 286?\n\"Answer: 16*t**2 + 11*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -48, -75, -102?\n\"Answer: -27*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1820 = -1249. Let m = n + 1733. Suppose m = 5*v + o, 2*v + o - 276 = -o. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*t**3 - 1423*t**3 + 1073*t**3.\nAnswer: 86*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 - 7.27. Let p = 8804 - 8804.67. Let q = p - l. Is q bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - -2. Suppose -40 = -8*s - 2*s. Let a be s\/(-3)*1\/2. Put t, a, -3\/7 in increasing order.\nAnswer: a, -3\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**5 - 36*c**4 + 147*c**3 - 270*c**2 + 228*c - 72 = 0.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 8. Suppose s + 5 = 2*u. Suppose 3*j - u = 2. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*c - 8, 0 = 2*s - 0*c + 5*c - 9. Solve -u + s*u = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - (-24 - (-1 + -14))) + -21.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42721 and 51.908.\nAnswer: 42772.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1771254 months?\nAnswer: 0.01476045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 21*u - 54. Let h(k) = 5*k - 114. Let a be h(18). Calculate the least common multiple of j(a) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(4)*6 + 0 + sqrt(18)\/((sqrt(6) + sqrt(6) + sqrt(24))*-5))*4)**2.\nAnswer: 42483\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*o + 23, -5*v - 4 + 21 = 3*o. Solve -21 = 5*l + o*w, w + 15 = l - 3*w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1522, -2\/3, -0.5 in ascending order.\nAnswer: -1522, -2\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s - 8. Let p be r(-6). Suppose p*f - 96 + 8 = 0. Let k be 4\/6*6\/f. What is the biggest value in 5, k, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 1, w: 9, p: 3, m: 2}. Give prob of picking 2 h.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-2244)*4)\/(6\/(-1054))*(-3)\/1?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -34*k - 3. Let z(y) = -1. Calculate -2*u(f) + 6*z(f).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.126 rounded to 2 decimal places?\nAnswer: -9.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-8) - -2)\/((-78)\/16).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - (-26)\/8 - (-19)\/4. Suppose 2*g + 3*f - 54 = 0, -q*g - 3*f + 4*f + 80 = 0. Solve 6*t + g - 51 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 3*x**2 + 4*x. Let u be b(-3). Suppose -3*o - u = 2*o. Let a be (-3 - -1) + 57 + o. Round a to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -75, -68, -61, -54?\n\"Answer: 7*v - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + a)*(3 - 2 - 3) - 596*a + 57*a - 143*a + (-4 - 2*a + 4)*(-1 + 2 - 2) - 1 - a + 1.\nAnswer: -683*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 5*j + 22, -6 = -5*p + 5*j - 40 + 24 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g - 33 = -2*h + 47*g, g = -h + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 345, 689, 1035, 1383, 1733?\n\"Answer: k**2 + 341*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2. Let v(i) = 11 + 17*i**2 - 38*i**2 - 26*i**2. Let l(k) = 16*k**2 - 4. Let m(j) = -11*l(j) - 4*v(j). Determine h(m(t)).\nAnswer: -144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1135 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/13824*-108)\/((-2)\/504).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -4) + 4 + 4 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n + 4 + 7 + 8*n + (-n - n + 0*n)*(0 - 3 + 1) + 2*n + n - 2*n.\nAnswer: 4*n + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.23, 3, -5, 2\/13, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3548, 0.\nAnswer: -3548, 0, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 4 - -1) + 5. Let i(a) = 4*a**3 + a**2 - a. Let v be i(1). Let j = y - v. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -5 - (-1 + 1)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/8415 and -62\/1683.\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1910 * -0.07.\nAnswer: 133.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -5*z + 25, -2*z + 16 = -5*o + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -60, -1, 2 in increasing order.\nAnswer: -60, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s + 10. Let o(p) be the second derivative of -5*p**3\/3 - 15*p**2\/2 - 3*p. Let u(z) = 7*g(z) + 5*o(z). Calculate u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:25 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 6*t**5\/5 + 3*t**4\/4 + 68*t - 59. Find the first derivative of c(y) wrt y.\nAnswer: 24*y**3 + 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -3*6\/81. Let c = 13\/18 - l. Put 2, 5, c in ascending order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355849 to the power of 1\/2, to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2697 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056861*-360.\nAnswer: 20.46996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1929898 less than -180126.02?\nAnswer: 1749771.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -368, -333, -276, -197?\n\"Answer: 11*s**2 + 2*s - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19423*g**2*q**2 + 2*g**2 + 6647*q**2 wrt g.\nAnswer: 38846*g*q**2 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 18 + 0*k - 17 - k**2 in the form i*k + t + r*k**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**1*k*k*k**(2\/39) assuming k is positive.\nAnswer: k**(158\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 436 + -697. Let u = i - -446. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 PM and 5:23 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-100)\/(-80) + (-1)\/4. Sort 0.4, -3, 1\/6, w in descending order.\nAnswer: w, 0.4, 1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14067 is divided by 275.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 136\/3*70\/(-300). Let m = u + 54\/5. Factor 2\/9*b**3 + 0 + 4\/9*b**2 + m*b.\nAnswer: 2*b*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 135, 208\/7, -1\/7, -1, 1?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2026.6 - 1114.6. Which is the third biggest value? (a) u (b) 2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1855 - -27?\nAnswer: -1829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 43.3. Let j = -5 - s. Let p = 0.34 + -0.3. Which is the second smallest value? (a) p (b) j (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-29 - (-4 - 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*d**2 - 20*d + 20*d - 20*d**2 in the form g*d**2 + o + z*d and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {s: 3, c: 7, z: 2, b: 1, o: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1598, 2 in decreasing order.\nAnswer: 2, -4, -1598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*n + 188*n = -308. Let u = 77 + n. Solve -4*j + 5*m = 15, u*j + 4*j + 5*m - 15 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**5\/70 + y**4\/21 - 2*y + 6. Let h(q) be the first derivative of i(q). Solve h(f) = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/630288 and 127\/1540704.\nAnswer: 13866336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285\/38*7856\/10.\nAnswer: 2, 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2806628063 - -2806627940.99998164. Let x = 122 + a. What is x rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 1473 + 1333 = 28*b + 5*b for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59445998 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 779.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (-2 + sqrt(432))*2 + sqrt(432) + -5 + sqrt(432)*1 + sqrt(432))**2 + 1 + 2.\nAnswer: -1296*sqrt(3) + 15636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r**3 + 33*r**2 + 12*r + 35. Let a be n(-3). Is 1\/7988 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Let u = -5 - -8. What is the second derivative of u + 2*n - n**5 - p wrt n?\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161975*y**3 - 88690*y**3 + 141187*y**3.\nAnswer: 214472*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 15648*c + 54887140.\nAnswer: -4*(c - 6145)*(c + 2233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 166?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19\/18 + -5\/9. Suppose -3*l = -4*c + 10, c - 2 = 2*c - 3*l. Solve 1\/2*n**c + 0 - j*n**3 + 0*n - n**2 = 0 for n.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203215572.\nAnswer: 2, 3, 7, 401, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3586.39*288\nAnswer: -1032880.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - o. Let d(v) = -5*v. Let w(x) = d(x) - 5*m(x). Let q(y) = 12*y. Determine w(q(h)).\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.57 + -18.56. Let x = -18 - h. Which is the biggest value? (a) x (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/19725 + 394358\/1400475. Calculate the common denominator of t and 22.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 + 13 = 5*c, -2*c = 2*p - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eej when three letters picked without replacement from {z: 1, e: 4, t: 7, h: 4, j: 3, i: 1}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1110120222120 (base 3) to base 11\nAnswer: 492545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 10 = o + 1, -5*g + 2*o + 26 = 0. Suppose 4*x = 3*y - 0*x - 90, g*x - 92 = -4*y. Let i be ((-4)\/y)\/(1\/(-1)). Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (128 - 138) - -19 - -59.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*g**3 - 2 + 1 + 3*g**2 + 4*g - 4*g**4 - g - 82*g**3 in the form q + z*g**2 + o*g**4 + m*g**3 + y*g and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10231 divided by 23\nAnswer: 10231\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25497.\nAnswer: 3, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - 4*q + 2, l - 5192*q = -5189*q + 3 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*m - 4*u + 8*u, 4*m + 5*u = 18. Suppose m - 30 = -2*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5 - 95*h**4 - 15*h**2 + 4*h wrt h.\nAnswer: -180*h**2 - 2280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -4, 187, -3, 64, -2 in ascending order.\nAnswer: -7, -4, -3, -2, 2, 64, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/8 and -35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**2 + 0*h**2 + (-1 - 1 + 1)*(-3*h**2 + 0*h**2 + 4*h**2) - 3 - 2*h**2 + 3 - 3*h - h**2 + 3*h + 0 + 1 - 29*h**2 + 32*h**2 - 2*h.\nAnswer: -3*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 264932208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000276247 to 7 dps.\nAnswer: -0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 3*y**2 - y + 1. Let p(v) be the third derivative of v**6\/120 + v**5\/60 + 2*v**2. Let w(k) = -4*p(k) + u(k). What is w(2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5368 and 42870190?\nAnswer: 171480760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q**(-1\/16)\/q)*q)\/q*q)\/q)\/q)\/q*q**(3\/7) assuming q is positive.\nAnswer: q**(167\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frf. Give prob of picking 1 r and 1 f.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*r = 12. Suppose -4*k + 11 = -3*k + r*l, -k = -l - 3. Solve -c + 3*i - i = 0, -4*c = k*i - 26 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2104150 and 1083875.\nAnswer: -1020275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1889 - 223?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67 and -0.106787.\nAnswer: 7.154729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1364263 and -1.\nAnswer: -1364264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 34 = -3*n, -3*q - 4*n = -3. Let c(l) = 4*l**2 - 29*l + 5. Let s(r) = r**2 - 7*r + 1. Let p(i) = 2*c(i) - 9*s(i). Determine p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 16*l - 8*l - 8*l**2 + 8*l**2 - 5*l**2 as f + b*l + s*l**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**7\/2520 + f**6\/120 + f**5\/30 + 5*f**4\/12 - f. Let y(o) be the third derivative of s(o). Give y(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 320, 0*o + 6*o - 3*o - a = -6*a - 430 + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19554108 - -9992146021\/511. Let f = q + 4\/73. Calculate the common denominator of 85\/8 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a factor of 17974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30975670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 399\/361 + 4\/(-38). What is the third smallest value in -0.3, 5, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.28 and 0.72.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09558 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3618 + -3592. Solve -31*f + d*f = 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*c = 329*c + 15. Is c not equal to 6\/2929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3347405.\nAnswer: 5, 669481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3465326006 minus -71.876?\nAnswer: -3465325934.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4029\/103 greater than or equal to -38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:50 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2981 - 2965. Solve -13*h = -u*h + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: d (base 14) to base 5\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*-1)**2 - sqrt(567)) + 3 + 5 + 2.\nAnswer: -9*sqrt(7) + 577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4268 and 51\/388.\nAnswer: 4268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3969946*h**2 - 19*h - 527092410 wrt h?\nAnswer: 7939892*h - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-195)*(-2)\/1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.23, 12275, -2, 3, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**3 - 10*i**2 - 6*i + 11. Let l be v(-9). Suppose 29*n = 25*n - l. What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 15*o**2 - 6*o + 12. What are the prime factors of k(14)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 830, -0.064, -0.05.\nAnswer: -28, -0.064, -0.05, 830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/6))**(-2\/87))**(1\/21) assuming x is positive.\nAnswer: x**(-5\/5481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 560.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19554247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1190903*h**2 + 1 - 548*h**4 + 1190901*h**2 + 2 - h**3 in the form g*h**3 + z*h + i*h**2 + y + k*h**4 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + d)*(-5 + 114 + 30)*(-6 - 19 + 4)*(3 - 3 + 2)*(-4 + 3 - 1).\nAnswer: -23352*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 165370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31\/2, 3\/7, -5, -2, 1 in decreasing order.\nAnswer: 31\/2, 1, 3\/7, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 9) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -27?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/12)\/((-15)\/(-20)). Let i = 18 + -16. Solve m*b = i*f + b, -2*f = -3*b + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 119384622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -61*o + 53*o + 1 + 3*o**3 + 3*o**2 - 2*o**3 + 9. Calculate j(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 218876?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 89\/356*(-120)\/(-21)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 157, 8, -1, -1456, -3 in descending order.\nAnswer: 157, 8, -1, -3, -5, -1456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 7*k - 2*k - 285, -3*c = -2*k + 114. Let b be (-282)\/6 + -3 - 3. Let j = b + k. Which is greater: 5 or j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208222 a multiple of 981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1228 divided by 3?\nAnswer: -1228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 106 = 5*t - 164, 3*t - 162 = 4*m. Calculate the lowest common multiple of 12 and t.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(143))\/sqrt(11).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -380 - -3037\/8. Which is the biggest value? (a) k (b) -2 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 4*z**3\/3 + 9*z**2\/2 - 8*z - 1. Let g(q) = q**2 + 2*q - 2. What is -9*g(j) + 2*n(j)?\nAnswer: -j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -1\/170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16127056.26ns to weeks.\nAnswer: 0.00000002666510625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)\/z)**48*z**(-23)*z*z*z**18 assuming z is positive.\nAnswer: z**(-231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1447.35558?\nAnswer: -144.735558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 174 = 3*y, -2*f - 4*y + 176 = -186. Solve 4*w + f = -35*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-30))\/(-8)*(-9)\/6*6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6867\/5 + 1373. What is the second smallest value in -265, x, 17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1 - -0.042.\nAnswer: -2.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-53 - ((-2)\/1 - 1))\/(-1). Let b = k - 54. Sort -5, 0, b in ascending order.\nAnswer: -5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 75378 and 121890?\nAnswer: 90076710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 8) + -42 + 43 + -5\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 10*y - 26*y. Suppose 0*m - 4*t = 4*m + 8, y*m = -t + 6. Solve m*p + 7 = -3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express m - 7*m - 7*m in the form j*m + o and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.97 + -279.97. Let o = -279.3 - w. What is the third smallest value in -66, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 9) in base 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chzfpih. What is prob of picking 3 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 432 - 431.9392. Let r = -0.2092 - n. Which is greater: r or -6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 107*l + 884. What is f(-92)?\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**2 - 8*b + 1. Let i(m) = 1. Give g(s) - 3*i(s).\nAnswer: -3*s**2 - 8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4114 and -23\/52?\nAnswer: 106964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20855, -20835, -20807, -20771?\nAnswer: -20727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105 * 4.\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/12 - 6\/(-9). What are the prime factors of (-1)\/(i\/60)*-1?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-12) - 14\/(-6). Suppose 0 = -c + 3 - v. Suppose -r + 0*r + 2 = 0. Is c < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**2 + 2*j**2 + 0*j**2 - 10*j**2 + 2*j**2 + 2*j**2 + j**2 + 0*j**2 - 3*j**2 + (2 + j - 2)*(3*j - 2*j - 2*j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)\/sqrt(5))\/((2*sqrt(24))\/sqrt(4)) + 3.\nAnswer: 3 + 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -479.2 and 25784377338.\nAnswer: 25784376858.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1793*r + 27 = 1820*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6410.85 millennia in decades?\nAnswer: 641085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -25*g**2 + 35. Let d(a) = 2*a**2 + 3 - 8 - 1 + 3. Let u(p) = -35*d(p) - 3*s(p). Let f(c) = -c. Give f(u(v)).\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-8 - (0 - 16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 950509 and 6?\nAnswer: 5703054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 + 5 + 31)*(0 + 2 + 3*o - 1)*(0 + 0 + o**2).\nAnswer: 273*o**3 + 91*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -40 and -50 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 1484.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64393.9999940527 + 64394. Round m to seven dps.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -0.13.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 349 = 5*y, -3*y + 1256*n - 1249*n = 247 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 84*b**3 + 89*b**2 - 6*b - 6. Let x(q) = 84*q**3 + 89*q**2 - 5*q - 5. Let s(v) = 5*t(v) - 6*x(v). Find the third derivative of s(u) wrt u.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(200))*-3*-6 + 4 + sqrt(200) + 0 + sqrt(200)*2*-1)**2.\nAnswer: -4760*sqrt(2) + 57996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q**3 - q**2 - 4*q - 3. Let n be z(-2). Let m = 54 + n. Suppose m*v + 78 = 841. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - s - 59. Let h be c(0). Let n = -235\/4 - h. Let -n*i**4 + 0 + 0*i - 1\/4*i**2 + 1\/2*i**3 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/(b*b\/((b*b*b*b**(-1\/2)*b)\/b)*b)*(b**(1\/5)\/b)\/b**0 assuming b is positive.\nAnswer: b**(-13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - h - 10 + 2 - 6*h. What is the remainder when 58 is divided by k(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 10:56 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/12*(-4)\/(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 7) to base 15\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/11627 and -19\/71423?\nAnswer: 499961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*t + 72 + 18, 4*j + 4*t = 72. Let c(a) = j*a + 21*a + 15*a - 56*a. Let d(v) = -v. Give c(d(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 6*a - 4. Let z(t) = -7*t + 4. Let s(j) = -6*n(j) - 5*z(j). Let r be s(3). Suppose 5*b - 26 = -r. What is the remainder when 14 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15276 + -15271. Which is the closest to -4\/11? (a) 0.21 (b) f (c) -5 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272)*-1 + -2 + (sqrt(187)\/(-2*sqrt(11)) - -6*sqrt(17)*-2) + 3)**2.\nAnswer: -41*sqrt(17) + 28581\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 4.7819.\nAnswer: 4.2819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4440, -9286, -14118, -18930, -23716?\nAnswer: -28470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**38\/(w*w*w*w\/(w**19*w)*w*w)*w**(1\/10)\/(w*w**(-37)*w))**(4\/7) assuming w is positive.\nAnswer: w**(1742\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)\/(z\/z**(-1\/4)))**(-43))**23 assuming z is positive.\nAnswer: z**(36593\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-20)\/4)*(-4)\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -7*o + 63. Let l(q) = -16*q + 124. Let k(i) = -5*f(i) + 2*l(i). Find the first derivative of k(x) wrt x.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -0.4640544?\nAnswer: 0.5359456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2624 - -1968. What are the prime factors of s?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -1, 2\/5, -1\/6, 0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5 and 0.02.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p + 10 + 4 + 12 - 27.\nAnswer: -24*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -79\/3*i**2 + 235\/3*i + 2 = 0?\nAnswer: -2\/79, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 - 0.2. Let b = 678617.98 - 678618. Let g = 4 - 1. What is the closest to d in -2, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106) + sqrt(2106) + 2*sqrt(2106) + sqrt(2106))\/((sqrt(8) - sqrt(8)*-2)\/sqrt(4)).\nAnswer: 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 180 = -3*d. Let c be (18\/4)\/(d\/(-60)). Solve z + g = c, -z + g = -0*g + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 0.01183716082\nAnswer: -0.28816283918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2911338*i**2 + 1152180*i wrt i?\nAnswer: 5822676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2. Let s(a) = 691972*a**2 + 49. Give s(b(x)).\nAnswer: 691972*x**4 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5758 and 1440?\nAnswer: 7198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 119\/3*y + 5*y**2 + 38\/3.\nAnswer: (3*y + 1)*(5*y + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(912)*1*2)\/(sqrt(120)\/(1*sqrt(250))).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/7, -213, 0.1, -0.2, 80, 7, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16125032 - 6639*i + 16125032)*(5 - 3 - 1).\nAnswer: -6639*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1635*s**2 + 205*s**6 - 2175*s**2 + 74*s**6 + 223*s**6 wrt s?\nAnswer: 60240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86*b*y**3 - 2086*b - 112500*y**2 - 2*y + 60860 wrt y.\nAnswer: 258*b*y**2 - 225000*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186 - -455. Let w = n - 639. Which is the fourth biggest value? (a) -3\/8 (b) -1.7 (c) -2\/9 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0 - 4 + 1)*(0 + 5 - 3).\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16636?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25908.48 years in millennia?\nAnswer: 25.90848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7208 - 7207. What is the closest to t in 1, 25\/6, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.74, 1\/5, 0.3.\nAnswer: 1\/5, 0.3, 5.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3978 + 4069. List the prime factors of r.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 297782 to the power of 1\/2, to the nearest integer?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/36 (b) -0.5 (c) -2 (d) -0.11 (e) 4 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37 - (-43 + 1014\/26)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (300\/(-9) - -1)*(-30)\/190. Let m be 4\/(-8) - 1\/(-3). Which is the third smallest value? (a) 0.07 (b) k (c) 13 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**3\/3 - 928858*v**2\/3 - 7430768*v\/3 - 4953824 = 0.\nAnswer: -464421, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/11)\/(c*c*(c**4\/c)\/c*c))\/(c**(-2)*c**(-5\/6)*c)*(c*c**(-2\/5)\/c*c*c)\/(c\/c**7)*((c\/(c**5*c))\/c)\/(c*(c**(-1)\/c)\/c) assuming c is positive.\nAnswer: c**(173\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 6*o**2 - 6*o - 1. Let n be c(-5). Suppose n*f = -f. Let s be (-1 + (-2)\/(-4))*f. Solve s = -3*u - 5*y - 24, 5*u + y + 8 = -10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*s**2 - 1123*s**2 + 375*s**2 + 368*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 5*t**4\/6 - t**3 + 2*t**2 + 20*t. Let k be f(1). Which is smaller: k or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 581 = 10*p + 81. Let r = -51 + p. Let l(u) = 105*u**2 + 3*u + 2. What is the hundreds digit of l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 86*p**2 + 1110*p - 197. Calculate r(-16).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 10:43 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.2 - -1.3129.\nAnswer: 14.5129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 - 10*i**2\/3 + 292*i - 1872 = 0 for i.\nAnswer: -26, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 4 = 7*f - 3*p, f - 107*p + 74 = -88*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*w + 10, u - 3*w + 25 = -4*u. What is the nearest to -0.1 in -1, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*((sqrt(17) - (-1 + (sqrt(17)*1)**2)) + sqrt(17))*-3.\nAnswer: -180*sqrt(17) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4996?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 104*v**2 - 86*v**2 + 46 + 32*v**2.\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d. Let q(g) = -51*g - 1. Calculate q(b(i)).\nAnswer: 102*i - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 983933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdiiexpxxpxxxjeipii. Give prob of picking 1 e, 1 x, and 2 i.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -218, -7, 3314\/27 in descending order.\nAnswer: 3314\/27, -7, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 174 - 88 - 90 = -3*y, 0 = 4*y + 16 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 65*i**2 - 4*i + 632. Let g(y) = 131*y - 2. Determine g(o(f)).\nAnswer: 8515*f**2 - 524*f + 82790","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhe when three letters picked without replacement from lvllehxle.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 646\/(-544) + (-17 + 18)\/(1 - 0)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 23 = 67. Let t be 32\/57 + 12\/j. Which is the nearest to -0.1? (a) 0.5 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34320297, -34320278, -34320259, -34320240, -34320221, -34320202?\n\"Answer: 19*d - 34320316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-72)\/50)\/(40\/100))\/(8\/20)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1042637, -1042629, -1042621, -1042613?\n\"Answer: 8*i - 1042645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-16)*(-18)\/81*(-73)\/(15330\/1200)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1656395152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(136) + -1*sqrt(136)*-3 + 2*sqrt(136)*1)\/(-4*(sqrt(392) - sqrt(392)*3)).\nAnswer: -3*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103127424?\nAnswer: 2, 3, 271, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (850\/(-51))\/((-6787093)\/(-44116020) - 58\/377). Round d to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3402*h + 22 = 15*t + 3401*h, -22 = -2*t - 4*h + 5*h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.031 (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11422554 and 5192070?\nAnswer: 57112770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183038?\nAnswer: 2, 71, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3\/2 - 231*v**2 + 5535*v\/2 - 2538.\nAnswer: 3*(v - 141)*(v - 12)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, 3, -5, -129, -4, 36 in descending order.\nAnswer: 36, 23, 5, 3, -4, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 9*t**3 - 2*t**3)*(119 + 152 + 54)*(-6*t**2 + 0*t**2 + 3*t**2).\nAnswer: -7800*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18285 - -18081.38. Let b = h + 202. What is b rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 46\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 690, 1380, 2070?\n\"Answer: 690*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 3*j**5\/50 + 21*j**4\/20 + 7*j**3\/10 - 9*j**2 + j - 268. Factor b(o).\nAnswer: 3*(o - 1)*(o + 10)*(2*o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 0)\/4 - -4. Solve 2*y - 4*h = 26, y - a*h + 0*h - 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -121\/183 + -1\/183. What is the nearest to d in 2, -9, 2\/15, 0.2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 392*n**4 + 7982*n**2.\nAnswer: 9408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 292 = -0*t. Suppose 2*g + t = 4*g. Suppose 0 = 5*x + 4*h - 5*h - g, 4*x - 53 = -h. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 3. Let w be z(-2). Suppose -5*y = -3*u + 80, 0 = -3*u - w*y + 106 - 10. What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1808 = 4*p, -4*j + 983 = 2*p - 819. Calculate the remainder when j is divided by 57.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 12*r + 8. Let s(u) = u**2 - 12*u - 9. Let k(j) = 5*a(j) + 4*s(j). Let b be k(12). Solve -b*x + 9*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 36*u**2 - 28*u - 28. Let p(g) = 4*g**2 - 3*g - 3. Determine -3*k(z) + 28*p(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-169)\/(-78) - 2\/12. Suppose -6 = a*l + 2*h - 16, 3*l - 11 = h. Differentiate 1 + l*p + 4 - 4 - 2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w - 288. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 5*q + 24. Let o = -170 - -173. Let x be u(o). Solve x = 3*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -584 + 551 = 7*d - q, -2*q = -10 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {e: 1, y: 2, w: 2, t: 1, h: 1, i: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.63 (b) 2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -32*o. Let f(b) = -3*b + 14. Let w be f(4). Let h(n) = -11 + 9 + w*n + 2. What is h(t(q))?\nAnswer: -64*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14795 at most as big as -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -327*n + 293*n + 68 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*y - 170*y + 12 = 0. Solve k - d + y = 0, 3*d - 4 = 2*k - k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*k - 8. Suppose 2*j = -k*n + 74, j + 2*n - 22 = 4*n. Let m = j - 13. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 67?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-18))\/(15*(-6)\/1320)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -3, -0.1, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t**3 - 23*t**2 + 213*t + 65. Is b(-33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (3 + 3) - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 268 divide 1004053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10*y - 1. Suppose 5*v + 2 - 7 = 0. What is z(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/3, 169\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n - n + 4*n + (-n - n + 3*n)*(-6 + 2 + 3) - n + 0*n + 3*n + (6 + 0 - 3)*(6*n - 8*n + 0*n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3 + (sqrt(2) - sqrt(8)))*-6 + (-2*(sqrt(2) + 1*sqrt(2)) + 5)**2).\nAnswer: -68*sqrt(2) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.54401 - 24.475. Round r to three dps.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30188.\nAnswer: 2, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s**2 - 3*s + 2. List the prime factors of c(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*w - 173 + 169 = 0, -2*x - 2*w - 4 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2359064277\/548075 - -2\/548075. Let r = -4301 - g. Calculate the common denominator of r and (2800\/1925)\/(1\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 8) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 193 - 110. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.9084 to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-13)\/52*1\/19\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*r - r + 21, -5*r - 4*p + 52 = 0. Suppose -2*y + 20 - r = 0. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 389076\/4025)*(-2)\/(-12). Let g = 411\/25 - b. Is g equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.1 - 46.9. Let i = 58 + m. Sort i, -2\/9, 3.\nAnswer: i, -2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -44677, 24.\nAnswer: -44677, -1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 1064651835.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1117*t - 1549 - 10908 - 9883 = 0 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 19, -3\/29, -387\/2?\nAnswer: -387\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.31 - -14.48. Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 5 + 2*h + 20 - 1 + 10*h**3 - 13. Suppose 0 = -4*n - 3*w + 2, -w + 3 = -5*n - 2*w. Give i(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*v + 4 = 0, 27 - 4 = 4*z + 5*v. Solve -2*g - z = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55346701\/8 or -6918338?\nAnswer: -6918338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18.8 and -34.9.\nAnswer: -656.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.691 + 3.691. What is the closest to -2 in -13, 0.4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7069, -6861, -6653, -6445, -6237?\n\"Answer: 208*f - 7277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.293 and -0.3683.\nAnswer: 2.6860119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 2 + -8 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -378, -42, 294, 630, 966, 1302?\n\"Answer: 336*i - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22993?\nAnswer: 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:35 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -27.5 * -2\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 104 = 3*y - 122, -2*y - 4*r = -18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208766 or 14.1?\nAnswer: 208766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -4*j + 88, 283*j + 3*n - 80 = 279*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(80)*4 - sqrt(80) - 3*-1*sqrt(80))\/(-1*sqrt(40) + sqrt(10) + (sqrt(80)*2)\/sqrt(8)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 11*g - 8. Let z be u(-7). Suppose -6*j - z = 17. Let f(c) = c**2 + 2*c + 6. Determine f(j).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 809070008 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 28 + 8 + 2*z + 2*z - z**2 to x*z**2 + t + p*z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-2 + -1)*-5 + -5.\nAnswer: 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1383\/5 + -23286\/85. Find the common denominator of -4\/119 and i.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.8030143485441 + -2.\nAnswer: -0.1969856514559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4803499660 to the nearest integer?\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34236 is divided by 163.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u - 511. What is a(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*m + 5. Suppose -3*y + 20 = m*y. Let n = y - -3. Calculate the remainder when 32 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 11*u + 21*u + 17*u - 29*u.\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**3 - 8*s**3 + 14*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1)*(-355)\/(-3195)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-420)\/35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/5 + (12\/20)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slsywilillssgssslyys. Give prob of picking 2 l and 2 y.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 9*x + 5. Let g be k(-4). Suppose -n - 3*n = -748. Calculate the highest common divisor of n and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-8))**(-39)*g**(-2\/33)*g**(-5)\/g)**(-21) assuming g is positive.\nAnswer: g**(-61663\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 181 = -1585. Let l = w - -110. Suppose c + 4*c = l*n - 408, -5*c + 846 = 4*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/27? (a) -1 (b) 0.2 (c) 0.02 (d) 14\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -7 - -4) + -3 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-1\/3)*c)**43)**(-38))**(-4\/23))**5 assuming c is positive.\nAnswer: c**(65360\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1083054540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0140596 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -75 + 36241?\nAnswer: 36144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-19)\/((-950)\/20))\/(1\/5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102079667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66654 - -52242?\nAnswer: -14412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s - 12. Suppose 29*h - 28 = 25*h. Let n be g(h). Let j be n\/(-9)*(6\/(-4))\/(-3). Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d. Let h(z) = 26*z**2 - 3*z. Let v(b) = -26*b**2 + 4*b. Let y(l) = -4*h(l) - 3*v(l). Calculate q(y(j)).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 2*i)*(-4*i**2 + 10*i**2 - 3*i**2)*(3*i - 4 + 4).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o - 2. Let j be n(-2). Let z be (4 - 2)\/(1\/j). Suppose -3*v + 11 - 3 = f, -27 = -2*v - 5*f. Are v and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/28 - 422\/(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003392 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 205.81 - 209. Let a = 4.19 + k. What is the nearest to a in -3, 28, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9276 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: Sort -26, 7, -1, 9139, 5.\nAnswer: -26, -1, 5, 7, 9139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742 a factor of 162978766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -632701 + 316349 + 316352 + 710*k.\nAnswer: 710*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 72469560 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101572868.\nAnswer: 2, 151, 211, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 0)*(3*t + 6*t - 2*t)*(-6*t + 3*t + t) + 10 + t**2 - 10 in the form c*t + j + n*t**2 and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44637 + -19734. What are the prime factors of q?\nAnswer: 3, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107.2 + -509.8. Is n less than or equal to 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 448*u**2. Let m(a) = -2*a**2. What is m(j(k))?\nAnswer: -401408*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*f + 5*f + 22 + 0*f wrt f.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378 - -376. Let v be ((80\/(-7))\/n)\/((-160)\/(-560)). Let y be ((-20)\/(-30))\/(2\/12). Calculate the highest common factor of v and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 2*u = 26, -2*v + 691*u - 15 = 692*u for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 2. Let u be 55\/11 + (-2)\/n. Calculate the highest common factor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 37\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 - 90*i**3 - 102*i**2 + 466*i - 276 = 0.\nAnswer: -3, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 48, 47, 46, 45, 44?\n\"Answer: -r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.254788 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from wnnnwnwnnn?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 115*c**2 + 370*c + 3390. Determine g(-112).\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 6. Let q = 4 - b. Let z = q + -6.04. Which is smaller: 1\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + (-6 - 2) - -3 - -15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24135421 + 4?\nAnswer: -24135415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 6:03 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 2218*f + 2218*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 801895403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 22 = 5. Let r = s - 7. What is h in 2\/3*h**4 - 1\/3*h + 0*h**3 - 2\/3*h**r + 1\/3*h**5 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8\/(-44) - 233\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 2*g**2 - 3*g + 4. What is q(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 1. Let m(x) = -5*x**3 + 4*x**2 + 3. Let u(w) = -5*w - 23. Suppose -180 + 176 = g. Let j be u(g). What is j*t(a) - m(a)?\nAnswer: 2*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a milligram in micrograms?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61460, 122791, 184010, 245117, 306112, 366995?\nAnswer: 427766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174896, -174876, -174862, -174854, -174852, -174856, -174866?\nAnswer: -174882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 0*q - 5*q + 0*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-7)\/3 - -2). Suppose -5*u = t - 13. Suppose g = u + 12. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/14)*n)\/n*n\/(n*n**13\/n)*n\/(n\/(n**(-15)*n*n))*n*n**(-1\/3))**(-1\/6) assuming n is positive.\nAnswer: n**(1031\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/12 + 13*w**3\/6 + w**2\/2 - 44*w. Let y be d(13). Solve -5*g - y = -2*u + 3, u = -5*g - 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5\/7 - 10604*v**4\/7 - 3171240*v**3\/7 - 209348696*v**2\/7 + 7144643948*v\/7 - 50228881404\/7 = 0.\nAnswer: -2319, -179, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - -7)*(-2)\/(-8). Find a, given that 3*a**5 - 12*a**4 - 12*a + 6*a**3 - 12*a**2 + 5*a**3 + 15*a + 7*a**w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 7) to base 14\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/o**(1\/11))\/o*o)\/o*o))\/o**18 assuming o is positive.\nAnswer: o**(-197\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9*k - 7. Determine c(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 115074.\nAnswer: 1\/115074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 26. Let q = z + 65. Suppose k - 3*k + 4*b + 64 = 0, -5*b = -k + 44. Calculate the highest common factor of k and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4 + (-7)\/(-4))\/(50\/(-20)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-25))\/((-15)\/75)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3\/329 - 1627\/1974. Suppose -5*n + 3*n = 0. Suppose n*g = -3*g. Is m at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1739 = -5*h + 2*q + 846, 0 = -h + 4*q + 517. What is the greatest common factor of 22 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, and 2 t when four letters picked without replacement from {q: 2, m: 1, t: 2, g: 2, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 20.5. Let i = 7 - u. Which is the closest to -0.1? (a) i (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 7*q - 3. What is c(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76813995?\nAnswer: 3, 5, 1447, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14826*t**3 - 441*t.\nAnswer: -88956*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89111?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 1450*l**3 - 2915*l**2 + 1460*l.\nAnswer: 5*l*(l - 1)**2*(l + 292)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-2 + (sqrt(108) - (-1*sqrt(108) - sqrt(108))) + sqrt(108) - (sqrt(108) - sqrt(108)*-2*3))**2*2 + 5.\nAnswer: 720*sqrt(3) + 9765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8529163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253 = -15*x + 268 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/42*2*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0, 2, 4 in increasing order.\nAnswer: 0, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10\/5 + (4 - 2\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjwwwwwjwwwjwj. Give prob of sequence www.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8740 plus -0.23?\nAnswer: -8740.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 13 = 43, -2*c + 3*j + 1955 = 0. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 28 = 3*x, -y + 4 = 2*x - 0*y. Put 2, x, -5 in decreasing order.\nAnswer: x, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46157 - -29157. Round b to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 45.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26308 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.5, -2\/11 in descending order.\nAnswer: 0.04, -2\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 5) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-296656726\nAnswer: -296656725.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(225) - 5*sqrt(225)*-1) + sqrt(225))\/((sqrt(35) + sqrt(70)\/sqrt(2))\/sqrt(7)))\/(((1*sqrt(1296) + sqrt(1296))*-4 - sqrt(1296))*2).\nAnswer: -7*sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, n: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 43*y**3 - 1310*y**2 + 1424*y - 212. Let f(i) = 9*i**3 - 262*i**2 + 285*i - 42. Let c(p) = -22*f(p) + 4*h(p). Suppose c(z) = 0. Calculate z.\nAnswer: 2\/13, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 743.67783 to 0 dps.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(245))\/sqrt(5))\/sqrt(7).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 574*n**3*q*x**3 - n**3*q*x**2 - 3*n**3*q*x - n**3*q + n**3*x**3 - 5*n**3*x**2 - n**3*x - 1049*q*x**3 + 10215*x**2 wrt x?\nAnswer: 3444*n**3*q + 6*n**3 - 6294*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30984347617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 - 59938545*c - 179815608 = 0. What is c?\nAnswer: -19979512, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-215256)\/4920 + 12\/(-10)\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2*(-8)\/144?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4 - 21\/36*-9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -35, 3, -3 in decreasing order.\nAnswer: 3, 2, 1, -3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-245))\/(24\/14)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o + 3*i - 19, 5*o - i - 63 = 0. Calculate the greatest common divisor of o and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2095*y - 694*y - 702*y + 4*y**2 + 5 - y**3 - 697*y. Calculate u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1959 - -1961. Suppose 4*w - 3*w - 3 = 0. Let m(i) = 0*i**3 + 2*i + 2*i**w + 0*i**3 - 4*i**2. Give m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 116 - 83. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7 - 13. Suppose -v - 5*l = 2*v - 2, -4*v - x*l = -1. Which is smaller: 2\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 177600664.\nAnswer: -177600660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 26*g - 0*g + 319 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**3 - m**3 + 0*m**3)*(0 + 0 - 2*m) - 315*m**4 + 163*m**4 + 8*m - 10 + 154*m**4 + (5 - 3*m - 5)*(3*m**3 - 3*m**3 + 2*m**3).\nAnswer: -8*m**4 + 8*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4794*t**2. Let x(h) = -401*h**2. Determine x(z(u)).\nAnswer: -9215956836*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280771400?\nAnswer: 2, 5, 7, 13, 15427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000244602779 to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1821133200?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-15) + (-7)\/10. Let p = -101 + 122. Put -1\/3, t, p in decreasing order.\nAnswer: p, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -211\/3 + 1022\/15. Which is the nearest to 2\/3? (a) -1\/7 (b) 2\/21 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -21397*y**2 + y + 0*y + 21545*y**2 + 2*y in the form r*y**2 + q*y + v and give r.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5073 (b) 4 (c) 34\/5 (d) -1 (e) 0.2 (f) -2 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1240\/19 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixyitttttiwt. Give prob of sequence ttt.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 minus -0.14672?\nAnswer: -20.85328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x**2 + x + 4456*x**3 + x - x - 4452*x**3 to d*x + h*x**3 + r*x**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -23)*2\/(-26)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -3, 2, -101.\nAnswer: -101, -37, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 24*k + 16*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/18 and 25\/712.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1269)\/(-1410))\/(36\/(-25080)*-11)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from rxrrbrbbbrb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = -3*p + 24, 5 = p. Solve -2*m + x = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -959 by 7.\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r**3 - 5*r**3)*(10*r + 2*r**2 - 10*r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 1150 = 3*w. List the prime factors of w.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -577\/8 - -155\/8. Let s = z + 54. Factor 0 - 5*m**4 + 15\/2*m**3 + 5\/4*m**5 + s*m - 5*m**2.\nAnswer: 5*m*(m - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z - 23*z + 3*u = 0, -2*u = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 2. Suppose 250*r = 251*r + 2. Give m(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -45*x**2 - x - 1. Is t(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30670 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + q - 124 + 187, -d - 9 = -2*q for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((32\/16)\/(-24)). Put -2, y, -37, -5 in descending order.\nAnswer: -2, -5, y, -37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -b**3\/6 + 9*b**2\/2 - 7*b. What is the lowest common multiple of 8 and v(-13)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(26)\/sqrt(2) - (sqrt(13) + 1 + -5))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 4*u**2 + 22*u + 9. List the prime factors of r(5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -289, -302, -315, -328?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 314839846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = 84 + 4191. Calculate the remainder when o is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wlpwwwwwwpowwwwww. What is prob of sequence wwl?\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4104 and 89\/3648.\nAnswer: 32832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4275305*h**6*o**3 - 1245*h**2*o - 8*h**2 - 4*h*o**3 - o**3 wrt h.\nAnswer: 513036600*h**3*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9898 - 9466. What is the lowest common multiple of 2304 and z?\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*o + 208 + 197 = 8*o - 19 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 - 132 = -29*t. Let r(s) = -s + s - 2*s + 9. Give r(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00050155682 rounded to seven dps?\nAnswer: -0.0005016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -88*r + 12582. Let w be n(143). What is the nearest to -1\/4 in -1\/2, 2\/11, 3, w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -38*i + 3083. Determine c(81).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -2*w + 2*n, 7*w = 3*w - n + 198. What is the least common multiple of (-5 + 2)\/3*3 - -43 and w?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 85*y + 773. What is j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(648)*3)**2.\nAnswer: 5835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**6\/15 + 422*i**5\/75 - 259*i**4\/30 - 262*i**3\/5 + 138*i**2\/5 - 7584. Let b(t) = 0. What is t?\nAnswer: -2, 0, 1\/3, 3, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 10*p**2 - 15*p + 10. Let o be b(-8). Suppose 3*l - 2*l - 71 = 0. Calculate the remainder when l is divided by 2*((-26)\/(-4) - o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -23. Let u be (-415)\/s + 3\/(-6). Let k = u - -97. 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: What is the product of 767512 and 273?\nAnswer: 209530776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1158408*z**6 - 389858*z**2 wrt z?\nAnswer: -139008960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(75) + sqrt(75)*4)*5 - (sqrt(75) + 1*sqrt(75) + 2 + sqrt(75) + sqrt(75) + -1 + -4))**2*6*-5.\nAnswer: -992520 - 18900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -9, 0.31, 2\/13?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3422?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 - 49*g)*(59*g - 57*g - 190*g).\nAnswer: 9212*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 + 11310045*h - 11310045*h.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= -2219\/268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**2\/2 - 2248. Let c(f) = -1. Calculate -2*c(m) + 4*g(m).\nAnswer: -4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 123 - 93. What is the greatest common divisor of 27 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - p = -3*g - 15, -g = 3*p + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 39. Suppose 19*f = -i*f + 15330. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728)*-1 + sqrt(1728))*-3*-3)\/(-2*((sqrt(384) - (sqrt(384) - (sqrt(384) - -2*sqrt(384)))*-1) + sqrt(384) + sqrt(384) + sqrt(384))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1161*f**4 + 2*f**3 + 10651*f**2 wrt f?\nAnswer: -27864*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 409, 823, 1237?\n\"Answer: 414*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1298796)\/(-72) - (-5)\/36*-6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 4:14 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(6*-1*sqrt(77) - sqrt(77))*5)\/(-4*(sqrt(891) + 1*sqrt(891) + sqrt(891) - sqrt(891) - sqrt(891))*6).\nAnswer: 35*sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -14*q**2 + 8*q - 8. Let w(k) = 6 - 4*k - 1 - 28*k**2 + 29*k**2. Let c be w(0). Let d(m) = 9*m**2 - 5*m + 5. Give c*y(x) + 8*d(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-8 - -4 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5740724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*g + 13600 = 198*g - 183*g for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -16*s + 14*s - 4, 0 = -5*i + 5*s - 50 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 0.060246.\nAnswer: -0.02289348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(810) + -4*sqrt(810))\/(sqrt(400)\/sqrt(8)).\nAnswer: -27*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9 + 14*j**3 - 27*j**3 + 3*j - 3 - 5*j**2 + 14*j**3. Let p be s(4). Suppose -826 = -3*c - d, c - p*d - 454 = -181. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -11. Suppose -x*s + 44 = 2*m, 2*m = -0*s + s + 19. Let u = 4243 - 21211\/5. Which is the smallest value? (a) u (b) 0.1 (c) m (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4211.867 + 4.867. Let j = v - -4206.84712. Let k = 0.15 + j. Round k to 4 dps.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 8. Suppose -g + 2*g + m = u, g + 3*u + 21 = 0. Let h = 21 + g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5328 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 13*m + 36. Give g(2).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 5279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 801 - 786. Solve i*g = -0*g + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 2, s: 8, j: 4}. Give prob of sequence wj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85870, 172047, 258814, 346465, 435294, 525595?\nAnswer: 617662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oph when three letters picked without replacement from hhopphzohhohhpdodo.\nAnswer: 35\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 3:58 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 48.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 1, m: 1}. Give prob of sequence pmg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 488 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 47*k - 24*k + 19*k**2 - 28*k. Let q(w) = w. Give m(i) + 5*q(i).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8278333153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/39 - (-28)\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 1. Let h be 2 + 2 + -2 - -1. Let c(q) = 4*q + 2. Calculate h*z(s) - c(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - w - 7)*(1 - 1 - w) + (3 - 18 - 3)*(5*w + 3*w - 5*w - 2)*(2*w + 2*w - w).\nAnswer: -161*w**2 + 108*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*v - 550 = -6 + 51. Solve 0 = -v*b - 456 + 484 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 8) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a**2 - 9*a - 10. Let x be r(-7). Let t = -242 - x. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9036, 8961, 8880, 8793, 8700?\n\"Answer: -3*g**2 - 66*g + 9105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z + 704 = 31*z. Suppose 0 = -4*m + 6 + 82. What is the greatest common factor of m and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 5*j - 25, 0 = 69471*s - 69468*s + 4*j - 11 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*w**2 + 6359*w - 8*w**2 - 6359*w.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t + 4. Suppose r = x + 9, 0*x + 4*x = 5*r - 43. Let q = -254 - -262. Suppose r*a = q - 29. What is y(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -4 + (9 - (6 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*m + 7*m - m + 7*m in the form q*m + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 2 w when four letters picked without replacement from {e: 6, j: 6, p: 1, w: 4}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*r + 152*r + 20*r**4)*(2 - 2 - 4*r).\nAnswer: -80*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 977 - 940. Calculate the remainder when 61 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 1064553.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i**3*t**3 - 2*i**3*t**2 + i**3 - 136*i**2*t + 3*i**2 + 37*t**3 wrt t.\nAnswer: -72*i**3 + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 PM and 1:51 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-111)\/(-5) - (-28)\/(-140). Solve f + 5*p = 22, -p - u = -5*f - 4*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*-4 - sqrt(78))\/((sqrt(6)*-4 + sqrt(6))*-4 - sqrt(6)).\nAnswer: 19*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/7, 0, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, n: 1, h: 1, m: 1, p: 1}. Give prob of sequence exmn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from {b: 3, y: 1, n: 4, l: 2, o: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 + -1 - 1) + (-3 + 12 + -37 - -15)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2 + 3*m**2 - m**2. Let f be (-3 + 2)*(1 + -200). Let t(s) = -s**2 + f - 199. Calculate t(c(i)).\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39438840 by -84.\nAnswer: 469510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3147.9 - -3148. Let h = -307\/45 - -33\/5. What is the second biggest value in -0.4, h, a, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**2*t**3 + 2*s**2*t**2 + 680349*s**2 + 11*s*t - 71028534*t**3 - t wrt t?\nAnswer: 6*s**2 - 426171204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 98280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-6))\/(10*(-12)\/(-180))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:41 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and 0.4498?\nAnswer: 10.4498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -106.9 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 7. Let y(c) = -c**3 - 5*c**2 + 2*c - 1. Let b be (-8)\/(-1 + 0 - -3). Let x be y(b). Let v = 31 + x. Determine p(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q - 16. Let w = 9 - -5. Calculate the remainder when u(w) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b**2 - 101*b + 93. Let y be v(-21). What is the greatest common factor of y and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -5*u, -2*u + 0*u + 3*l + 9 = 0. Suppose u = 3*c + 2*c - 50. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5691 + 271*y**3 - 5691)*(-2 - 2 + 2) - 2*y**3 + 2*y**3 - 3*y**3.\nAnswer: -545*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(-184)\/46*3\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (5 - (8 + 0 - (-16 - (-50 + 22))))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -181, 3, -2, -173, -1, 0 in increasing order.\nAnswer: -181, -173, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270882 and 1515.\nAnswer: 1354410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2521236228 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:38 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -7*d**6\/5 - 10915*d**4\/12 + 1625*d. What is the third derivative of j(g) wrt g?\nAnswer: -1008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549380623?\nAnswer: 11, 3389, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2438 - 7682 = 276*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20624957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62\/(-56) + 1)\/(0 - (-3)\/(-24))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -6. Let w be (-5)\/f*20\/50. Let g be (0 - w)\/((-2)\/10). Solve k + g = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 596 - 1078. Let p = -311 - c. Suppose 0 = 4*d - d - p. Calculate the highest common divisor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 169 and 299?\nAnswer: 3887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -9.082, 4, 1\/5, -2\/9 in decreasing order.\nAnswer: 4, 3, 1\/5, -2\/9, -9.082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z + 3*x - 24, 2*z - 25 = -5*x. Suppose -2*q - 1 - z = 0. Find the common denominator of q\/(-9) + 11\/12 and 33\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 16*c**3 + c**2 + 2*c - 4. What is the units digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 932357 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1473\/8 - 185. What is the common denominator of h and 0 + 68\/14 + -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -2*u**5\/95 + 10*u**3\/57 - 8*u\/19 + 80. Determine o so that s(o) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 67*v - 68*v + 663, 0 = -3*d + v + 663. Calculate the smallest common multiple of 221 and d.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -187 + -262142017883\nAnswer: -262142018070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-165)\/(-33) + (-5 - -2). Factor 7*w**2 + 4*w**2 - g + 5*w - 10*w**2 + 8 - 12*w.\nAnswer: (w - 6)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4203241 - -10?\nAnswer: -4203231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*n*z - 359750*n + 210838*z**2 - 33 wrt z.\nAnswer: 26*n + 421676*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.15905 - -37.276. Let x = 2.89 + g. Round x to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 - -2) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, r: 1, c: 4, j: 5, x: 1}. What is prob of picking 2 t, 1 r, and 1 j?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n - 270 = k, 0 = 5*n - 4*k - 669. Suppose -5*m + 55 = 1510*f - 1513*f, -2*f + 33 = 3*m. Calculate the remainder when n is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p + 8*p = 26*p. Suppose 5*w = 20 - 5. Suppose -4*g = w*s - 233, 5*g = -p*s + s - 103. What are the prime factors of s?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 1102116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/2, 4, -4, 0.2, 0.3, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -41012.\nAnswer: 1\/41012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 54 = 5*r - 201, 0 = 4*r + n - 189. Calculate the remainder when 266 is divided by r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t)*(-4 + 3 + 2) - 68*t + 151*t - 73*t - 10 + 3*t - 11*t + 9*t.\nAnswer: 10*t - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9 + 7 = 5*u, -m = 5*u - 22. What is the remainder when (3 + 23\/(-7))\/((-1)\/42) is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -103*p + 311. What is the smallest common multiple of q(3) and 51?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46 or -3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 15 = -3*a, -3*t + 3*a - a = 10. Suppose -28 = -t*z - 4*z. Let m = z + -5. Solve -d + 5 = -m*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m - 4. Let n(k) = -4*k + 3. Suppose -4*o + 11*u = 9*u - 8, 2*o - 12 = -u. Suppose -7*t = -5*t + o. What is t*f(h) - 3*n(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 82*a - 3. Let n(z) = -300*z. What is n(o(p))?\nAnswer: -24600*p + 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1142\/10*1 - (-1365)\/(-6825)\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 19*q**2 - 9*q - 99. Let d be y(-19). Sort 3, 4, d, 1.\nAnswer: 1, 3, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eereenreneeeeee. What is prob of picking 1 n and 1 r?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 + 0 = 2*n, 3*z = 5*n - 4. Let p(q) = -745*q. Is p(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 11, l: 2}. What is prob of sequence ggl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3 + 4 - 5 + 3 + (1 - 2 + 0)*(-1 + 3 - 3) + 0 + 3 - 2 - 2 + 1 + 2 - 9 - 5 + 5)*(-5*u + 3*u - 1780 + 1613) as l + z*u and give l.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -33165 * -8.7\nAnswer: 288535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 1:21 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.9 + 2.52. Let l = 19.62 - d. Let t = 22 - l. Sort 0.2, -0.4, t in descending order.\nAnswer: t, 0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 70 - 226. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n - 73*n - 178*n - 278*n - 169*n - 2 - 2*n + 2 + (2 + 1 - 4)*(2*n + 0*n + 0*n) + 0*n + 0*n + n.\nAnswer: -692*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5202 divided by -5322\nAnswer: -867\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, k: 2, y: 8}. What is prob of sequence yykf?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h + 1. Let r be i(4). Suppose -2*y - 178 = -2*u, -4*y + r*y + 3 = 0. Calculate the remainder when u is divided by 44\/2*(2 + -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 475 - 470.71. Let o = 43.29 + -44. Let t = n - o. Which is the closest to -3? (a) t (b) 0.3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 339080854 and -95.\nAnswer: 339080759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76690, 76671, 76632, 76567, 76470, 76335, 76156?\nAnswer: 75927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - r - 62, 5*r = -3*g + 10 + 40. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59 + -4?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-68)\/(-10) - 5\/(150\/24). Let t(p) = -p + 9. Let l(a) = a - 8. What is n*t(m) + 7*l(m)?\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140278, 280556, 420834, 561112, 701390, 841668?\nAnswer: 981946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 9227*m**5\/5 - m**3\/3 - 1561*m**2\/2 + 3*m + 5131. Find the third derivative of i(j) wrt j.\nAnswer: 221448*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 18996282\nAnswer: 1\/6332094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22443 + 22328.19. Let r = l - -114. Let d = r + 0.06. What is d rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(243)\/sqrt(9).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190210.\nAnswer: 2, 5, 23, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.066, 2\/53, 0, -1?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 5:37 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10*(-3 - (-129)\/(-15)). Let l = v + -64. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -30713, -5, 5, -4, -19 in increasing order.\nAnswer: -30713, -19, -5, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + q = 7, 0 = -5*i - 2*q + 3*q + 35. Let l be 72\/27*27\/2. Suppose 0 = -5*u + 8*u - l. Calculate the remainder when u is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/29 - (-119394)\/17226.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 3:53 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c871 - 5?\nAnswer: 2c86a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-o - 3 + 3) + (-540*o - 829*o + 505*o)*(-4 + 2 + 5) as s + f*o and give f.\nAnswer: -2590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8618806s to microseconds.\nAnswer: 861880.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 136, 142, 148, 154?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -864, 6, 137, 2 in increasing order.\nAnswer: -864, 2, 6, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - l + 2 = -1, c + l = 3. Solve 0 = 3*s - 8*s - c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331002 and 10360.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -5*q**7\/14 + 10*q**3\/3 + 19*q. What is the second derivative of g(p) wrt p?\nAnswer: -300*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 1 + 0 + 4*g + 13*g**2. Let m be f(-1). Let n be 6\/(-2)*(-3)\/3. Calculate the highest common factor of n and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*u + 15 = c + 12 - 2, -13*u + c - 89 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*i - 10264, -i + 0 - 4 = 0. Let a = s + -1486. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -15. Let p = 11 - w. Suppose -5*u - p*x = -246, -3*x = 2*x + 5. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**4\/12 + h**3 + 9*h**2\/2 - 5*h - 1. Determine f(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*x - 110*x + 32 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190238 is divided by 191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 1836?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - 3*y**2 - 5 - 5*y + 5*y**2 + (-2*y + 0*y + 4*y)*(3*y - y - y).\nAnswer: 4*y**2 - 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 1. What is u(-5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gft when three letters picked without replacement from {y: 2, c: 1, t: 1, f: 1, g: 5}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3 (base 15) in base 4?\nAnswer: -11322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -26, -21, -20?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -484, -962, -1442, -1924, -2408?\n\"Answer: -f**2 - 475*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(190)*-4)\/sqrt(10) + (sqrt(931) - (4 + 3*sqrt(931))**2).\nAnswer: -8395 - 173*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 10 = -10*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmrmrmmrrmrrmmmmmm. Give prob of picking 3 m.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f + 9. Suppose -5*r - f*k + 55 = -6*k, 4*k = -4*r + 12. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -673984*j + 9435764. Give a(14).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d - 76?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 18. Suppose 3*h + 30 = -m*h. Let d(u) = -7*u**3 - 5*u**2 + 5*u. Let r(j) = -3*j**3 - 2*j**2 + 2*j. Give h*r(t) + 4*d(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*q**4 + 10161*q**3 - 12*q**2 - 29898165*q wrt q.\nAnswer: 168*q**2 + 60966*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37835911 is divided by 216205?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422.913 - -0.087. Let g = 423.000000366 - q. What is g rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*v**4 + 7*v**3 + 14*v**2?\nAnswer: -1896*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**8\/1344 + 11*s**7\/504 + 7*s**6\/36 - 23*s**4\/8 - s**3\/6 + 39*s**2. Let f(h) be the second derivative of y(h). Factor f(k).\nAnswer: 5*k*(k + 4)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 628, 635, 642, 649, 656?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-6))\/(-4)*3\/(-1). Let v be (-500)\/(-10)*q*-2. Which is smaller: v or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10b7 (base 14) to base 13\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.03, -1, 1, 5, 2.6 in descending order.\nAnswer: 5, 2.6, 1, -0.03, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -2 - (-5 - ((27 - 3) + -13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 149*a + 76704 = 0. Is a a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.158 + 0.044700035967.\nAnswer: -0.113299964033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w = 35*w + 18216. What are the prime factors of w?\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 7. Let w(f) be the third derivative of 0 + 6*f**2 + 0*f + 1\/12*f**4 + 0*f**3. What is w(h(j))?\nAnswer: 2*j**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -0.5, 3, 0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1345254 (base 6) to base 7\nAnswer: -435415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**5\/20 - 5*y**4\/4 - 3*y**3 + 97*y**2\/2 - 49*y. What is the tens digit of h(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3228, 2623, 2018, 1413, 808?\n\"Answer: -605*o + 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41628?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-39)\/(-4) + (-11)\/(-44)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943280?\nAnswer: 2, 3, 5, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 192 = -53*p - 2*h, -2*p - 20*h + 22 = -22*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**9\/2520 - q**7\/504 - q**4\/3 - q. Let d(k) be the third derivative of a(k). What is the third derivative of d(f) wrt f?\nAnswer: 144*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 18. What is l(9)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzzzvzvzbzvbv. What is prob of sequence zzz?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71730 and 23670?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 7:20 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 + 12779268*t\/11 + 25558528\/11.\nAnswer: 2*(t + 2)*(t + 6389632)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -9\/230975828?\nAnswer: -9\/230975828","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 62 + 16 = 3*w, 4*b + w - 61 = 0. Suppose 3*t = -2*t + b. Suppose -4*r - 3212 = -k - 3*k, t*k - 5*r = 2415. What is k rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = -28. Let n = v + 17. What is the remainder when 28 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 g, and 1 y when four letters picked without replacement from {f: 6, g: 9, y: 2}?\nAnswer: 108\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -3, 1\/6, 256\/11.\nAnswer: -3, 1\/6, 2\/3, 256\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 97 = 4*a, -2*a = -7*a + 2*l + 119. Suppose t = 2*x + 4, -x = -4*x + 3*t - 3. What is the remainder when a is divided by x\/12 + 106\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7785*4.8.\nAnswer: 37368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1 - 9 - 7*t**2 - 4*t**3 + 3*t**3. Let d(f) = 2*f**3 + 15*f**2 + 17. Determine 6*d(c) + 13*q(c).\nAnswer: -c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 347*b + 602. Let j(n) = -340*n - 602. Let g(f) = -5*c(f) - 4*j(f). Differentiate g(p) wrt p.\nAnswer: -375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*b - 15, -5*b - 7 = -3*y + 21. Suppose k = l + y, l - 5*k + 0 + 17 = 0. Suppose 4*s - 814 = -2*z, -l = 4*z - 7. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -13*a - 9. Let u be (-9)\/(4\/4 - 2). Let v(i) = -u + 11 + 5*i - 2*i. Give 2*o(k) + 9*v(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100.69 - 103.69. Let s = -33.9 + 34. What is the biggest value in c, 4\/17, -2, s?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 7*b**2 + b - 13. Suppose 77 = -7*y + 28. Let x be g(y). List the prime factors of (978\/(-18))\/(-2 - x\/12).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*k = -0*l + 36, 0 = 2*k. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.53. Let w = -136.97 - -141. Let z = s - w. What is the second smallest value in 2, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4282*l. Let y(i) = -14*i - 36. What is y(g(s))?\nAnswer: 59948*s - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14103, 28202, 42299, 56394, 70487, 84578, 98667?\n\"Answer: -j**2 + 14102*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b**4*m + 33*b**2*m + 2*b*m + b + 208*m wrt b.\nAnswer: 144*b**2*m + 66*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1208*u. Let y(z) = 2*z. Determine y(s(b)).\nAnswer: -2416*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 1915970 to the nearest 10000.\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 39. Suppose 55*o = 37*o - 54. Let v be f(o). Which is bigger: v or 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 >= 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 3*f - 2*n, 4*f + n - 12 = 0. Suppose -f*v + 203 = 27. What is the greatest common factor of v and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 76d + 8?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q**2 + 2. Let u(y) = -6855152*y**2. Determine k(u(j)).\nAnswer: -328951762601728*j**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -399 - 873. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.3915683 to two dps.\nAnswer: 17.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 12:23 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 11851\nAnswer: 11801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.127+46747\nAnswer: 46747.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = -m + 16*b, 3*m + 6*b = 9*b + 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/320 + 39*v**5\/16 - 391*v**4\/64 + 76*v**2 - 20. Let l(s) = 0. What is s?\nAnswer: -391, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000061198062 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.645857148 to three decimal places.\nAnswer: 5.646","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12598624 or -12598646?\nAnswer: -12598624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 11:50 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977094193.\nAnswer: 1977094193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1682 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 759 and 24.\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40618 divided by 40618?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h + 4*v - 20, 15 = 3*v. Suppose h*x + 2*i = 40, -4*x + 8 = -2*x - 5*i. Find the second derivative of -2*n + x*n + 4*n**5 - 3*n wrt n.\nAnswer: 80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 3)*(-33)\/(-6). Calculate the remainder when (19\/3)\/(t\/(-33)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -0.4 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -8 (b) 4 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + s = 18, p = -4*p - 3*s + 26. Suppose -p*k - w - 149 = 0, 4*w = 3*k + k + 144. Let t = -26 - k. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5129 - 5129.4. Let z = -1.97 - 0.03. Sort 2\/3, 3\/5, n, z in ascending order.\nAnswer: z, n, 3\/5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/59, 413947\/5, -5?\nAnswer: 413947\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n + 157. Let x be d(19). Solve 0 = -3*h - 3*t + 15, -3*h + x*h + 3*t = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -122. Let m = -91.99999898 - s. Round m to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59159\/35508 + 7\/11836. Factor -5\/3*t**2 - k*t + 10.\nAnswer: -5*(t - 2)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 2*u**6\/15 + 6*u**5\/5 + 8*u**4\/3 - 4*u**3 - 18*u**2 + 6*u. What is m in r(m) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/11 + 912*c\/11 - 914\/11.\nAnswer: 2*(c - 1)*(c + 457)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4612 (base 7) to base 4\nAnswer: 122023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 16. Suppose 5 = -4*g - 15, 3*r + 50 = -4*g. Give o(r).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 - 672*g**4 - 32340*g**3 - 332024*g**2 = 0 for g.\nAnswer: -77, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 237, 946, 2127, 3780, 5905, 8502?\n\"Answer: 236*q**2 + q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193\/2272 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1105343632 to the nearest integer?\nAnswer: 33247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - z + 4. Calculate b(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.54 - 126.46. Let x = 121 + z. Which is smaller: x or -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12924?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2966874 by -16762.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30588544?\nAnswer: 2, 7, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198455 is divided by 1286.\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2003508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*o - o - 4 = 0, 4*x = 3*o - 26. Put -1, x, 11 in descending order.\nAnswer: 11, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1294, 800, 298, -218, -754, -1316?\n\"Answer: -f**3 + 2*f**2 - 493*f + 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 5*f = 12, 4*n - 12*f - 942 = -962 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/36*(-6)\/1. What is the third derivative of t*v + 84*v**3 + 2*v - 16*v**2 - v - 10*v**3 wrt v?\nAnswer: 444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3, -4*m - 5*y - 3 = -0*m. Let d be 34\/8 - m\/12. Suppose 0 = b - 2*b - d*q - 5, 0 = 2*b + 4*q + 2. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**4 + 21*d**4 + 2*d**2 - 2*d**4 - 10*d**4 + 3*d**3 to b*d + h*d**2 + m*d**4 + o*d**3 + z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by -8.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2*d = -0*n - 15, -4*n = 5*d + 12. Let r = 6 - n. Let j be 1\/(-2) + 20\/8. Solve 4*b = b - o + r, -4*b = j*o - 12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 615, 677, 773, 897, 1043, 1205, 1377?\n\"Answer: -z**3 + 23*z**2 + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45852456 a multiple of 1124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612677?\nAnswer: 2612677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1076 - 22*i**2 - 392*i + 1079 + 20*i**2.\nAnswer: -2*i**2 - 392*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1229*f = -769*f - 714*f - 165432 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50269 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 4 = 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/101112096 and -89\/217914?\nAnswer: 101112096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3463 divided by -123?\nAnswer: 3463\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*x**2 - 4 + 3 + 2*x**2.\nAnswer: -x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 2 + 4 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9360 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**16*w\/(w*w\/(w**(-6\/13)\/w*w*w))*w*((w\/w**(-8))\/w*w)**(-30))**27 assuming w is positive.\nAnswer: w**(-99846\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 2. Suppose 0 = 2*h - x - 5, 3*h - k*h - 3*x + 10 = 0. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 4*u - 32, 5*u - 28 = 7*y - 10*y. Solve -u*f = c - 6, f = -0*f - 5*c + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y**2 - 3*y**2 + y**2 + 5*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + 92 = 0. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 2*y + 51. Calculate l(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 33*k + 3. What is g(33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5801 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 8 = 3*q - 6*q, -q = 5*h - 12. Suppose 115 = -h*z + 7*z. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:50 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*x - 21, -x - 3*x + 8 = -i. Suppose -9*k + 5*k + 112 = -i*a, 0 = -2*k - 3*a + 66. Are 29 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllllxllllll. Give prob of sequence llx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -59 and 0.045335558.\nAnswer: -58.954664442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -228 - -330. Let j = o - 55. Let p = -47.1 + j. What is the fourth biggest value in 0.2, p, 5, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2885 and -19.0548.\nAnswer: -18.7663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.702 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6114 + -67246\/11. Let w = -0.1 - -1.1. What is the second smallest value in w, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1553 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -51. Solve -g*v - 4*n = -17, 0*n = 3*v - 5*n + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.93 - -1.96. Let b = f + -0.03. What is the third smallest value in b, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 58*t + 69. Let q be s(0). Put q, 2\/17, 0.1 in decreasing order.\nAnswer: q, 2\/17, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + 6 + (-11)\/3)*3. Let s be 1\/n - (-77)\/(-14)*-1. Solve -3*k - 2*m = 2*m + 23, 4*m + 33 = -s*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -1 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 7*w**2 + 4*w + 5. Let m be v(6). Let l(f) = 45*f - 65. Let n be l(6). Let k = n + -202. Put -4, k, -1, m in descending order.\nAnswer: k, -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 8:41 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8945173.02 to the nearest one hundred thousand.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -328, -807, -1456, -2263, -3216, -4303?\nAnswer: -5512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*x = -2*s - 23, -4*s - x - 13 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57063 + 398589\/7. Suppose 4*z - 16*x = -14*x + 494, 5*z - 601 = -3*x. Let v = z + g. Put v, 0.4, 0.3 in descending order.\nAnswer: 0.4, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2375186*n**2 + 7063*n + 7063. Let m(k) = 1009*k**2 + 3*k + 3. Determine 3*c(v) - 7063*m(v).\nAnswer: -1009*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576 - 3313 + 964 = 181*c + 600 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -0.56482\nAnswer: -0.36482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38225?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**(2\/3))\/j*j*j**(-1))\/((j*(j*j*j**(-1\/3)*j)\/j*j)\/j*(j\/((j**2*j*j)\/j))\/j))**29)**(-30) assuming j is positive.\nAnswer: j**290","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g - 3. Let x(u) be the first derivative of 15*u**2\/2 + 36*u - 187. Let k(f) = -9*t(f) - x(f). Determine k(-8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, e: 2, x: 6}. What is prob of sequence xxxx?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407 + -1506 - (2 - 108)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18625 times -0.3?\nAnswer: -5587.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b = 5*g + 5, 0 = -2*b + 5*g - 7. Put -1, -4\/3, b in ascending order.\nAnswer: -4\/3, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1152064 to the nearest ten thousand.\nAnswer: 1150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/(-15) + (-67 - -11) + 24.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59769.372 rounded to the nearest one thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**11)**11*(u*u**(-13))**31 assuming u is positive.\nAnswer: u**(-482)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 10*s + 14. Determine g(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4009 and 43255.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**4 - 45*y**3 - 54*y**2 + 96*y = 0.\nAnswer: -2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*k + (-10*k - 10*k + 4*k)*(-43 + 1 + 110) to the form j*k + c and give j.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -839 divided by -4\nAnswer: 839\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 321369*o**2 - 160690*o**2 - 160675*o**2.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**3 + 42*x**2 - 165*x + 126 = 0.\nAnswer: 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 5\/6, -0.2, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8541 + -8539. Do -4988 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 0.335.\nAnswer: -75.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 2 - 1 - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 698948453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155424 (base 8) to base 16.\nAnswer: db14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 plus 432760897?\nAnswer: 432760897.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7537.996 litres to millilitres.\nAnswer: 7537996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 66 = 0. Suppose 0 = 106*k + 8*k - 456. Solve 3*r + k*s - z = 8*s, 5*s = -20 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(3\/8)*(i**(-1))**(-37)*(((i**(-1)\/i)\/i)\/i*i)**7*(i\/(i\/(i\/(i\/i**(-2\/5)))))**(-44) assuming i is positive.\nAnswer: i**(168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23845 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1920502017 to the nearest integer?\nAnswer: 43824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**4 - 15*z**2 + 15*z**2)*(947851 + 245*z - 947851).\nAnswer: -2940*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.206 times 1.5\nAnswer: -1.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 9*a**4 + 11*a**4 + 0*a**3 - a**3 - 2*a**2 + 0 in the form h*a**4 + y*a**3 + q + n*a**2 + x*a and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3331 + 16652\/5. Let c be 0 - (-2)\/(-14) - 0. What is the nearest to -1 in c, -9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 530 and 8?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579065 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-2*5)\/sqrt(6).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -17, -2 in descending order.\nAnswer: -1, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -47 - 23. Suppose -g + 5 = -3*t. What is the lowest common multiple of t and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-17)\/y*y)*y*y))\/(y*y**(-19)))**(-12) assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.32342 times 0.1\nAnswer: 0.032342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4826816178?\nAnswer: 2, 3, 804469363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 + 164*w**2\/5 + 358*w + 920.\nAnswer: -2*(w - 92)*(w + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/2 + 3546*j - 7094 = 0. What is j?\nAnswer: -7094, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11182.\nAnswer: 2, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3138 and 7747722?\nAnswer: 7747722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38323, -38930, -39537, -40144?\nAnswer: -40751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 + 0.069\nAnswer: 0.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2929 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 7:11 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t + 25*t - 10*t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031 (base 4) in base 13?\nAnswer: -5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(-1440)\/(0 - -12). Let f be ((9\/p)\/1)\/((-10)\/(-125)). Put 4, -0.1, f in increasing order.\nAnswer: f, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 638 - 361. What are the prime factors of f?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10221100122 - 11?\nAnswer: 10221100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 3. What is the units digit of u(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d + 0*d**3 - 36*d**2 + 2*d**3 + 38*d**2 as i*d + g + n*d**2 + v*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 9*q**2\/2 + 4. Let k(o) = 2*o. Calculate n(k(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 34.64?\nAnswer: 34.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, u: 4, v: 9}. What is prob of picking 2 d, 1 v, and 1 u?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s\/(s**1\/s*s)*s)*s*s)\/s)**20*(s*s**(-1\/2)*s)\/s**(-2\/47))**(2\/5) assuming s is positive.\nAnswer: s**(405\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-2) - 4559\/(-94). Solve -8*l - f = 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 15*p + 37. Calculate the remainder when 4 is divided by b(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -11*a**2 - 6*a + 12. Let d be 13\/(65\/30) - 1. Let k be w(d). Let t = 558 + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(700)*2*1 - (sqrt(700) + (0 + sqrt(700))*-4)))**2.\nAnswer: 100*sqrt(7) + 17501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -164 + -56?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c - 115. Let t be u(-13). Let b(s) = s - 11. Let j be b(6). Sort t, j, -7 in increasing order.\nAnswer: -7, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6734 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*b**2*b))\/b)\/b**8)\/((b\/(b**(-3\/8)*b*b))\/(b\/(b\/b**(-10)*b*b)*b)) assuming b is positive.\nAnswer: b**(-179\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z - z + 0*z)*(3 - 6 - 3) + 21 + 8*z - 21)*(9*z**2 - 18*z + 19*z - 2 - 15*z**2).\nAnswer: -12*z**3 + 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1918.\nAnswer: 5754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2*sqrt(27))\/sqrt(9))**2*6.\nAnswer: 96*sqrt(3) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2113903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/477 and -7\/10600.\nAnswer: 95400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222 (base 5) in base 14?\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5335, 5348, 5393, 5488, 5651?\n\"Answer: 3*r**3 - 2*r**2 - 2*r + 5336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.17 (b) -2 (c) 1 (d) -98\/7085\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**4 + 58*r**3 - 38*r**2 - 10*r = 0 for r.\nAnswer: -1\/5, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 - 46206*j\/13 + 138636\/13.\nAnswer: -2*(j - 3)*(j + 23106)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j + 0 - j**2 - 1\/24*j**4 + 5\/3*j**3. What is the units digit of b(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1408*i - 1805*i - 2491*i + 1565*i.\nAnswer: -4139*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -2*p + 5*r, 5*p + 4*r = r - 3. Let d be ((-1)\/(-3))\/(p\/(-18)). Suppose -z + d*z = 8. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -11\/6*x**3 - 3\/2*x**2 - 2 - 6*x. Let o(r) = 120*r + 32. What is -3*o(n) - 32*q(n)?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 17 + 33 = 0. Suppose -v = -2*t, 6*h - 8*h = -t - 1. Suppose -r + 6 - 3 = 0. Are h and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*q**4 - 40 + 279241*q + 11*q**2 - 12*q**3 - 279240*q - 7*q**2 + 12*q**2 wrt q.\nAnswer: -648*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -53916 and 106.4463.\nAnswer: -53809.5537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1177193287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/11)\/d**5)**1\/((d*d**(-2\/3)*d)\/(d\/((d*d\/(d\/(d*d\/(d**6\/d))))\/d)))**(-9\/2) assuming d is positive.\nAnswer: d**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211312221 (base 4) in base 16?\nAnswer: 165da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 22\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 11:42 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 993390 to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0675 + -5.0675. Let v be (0 + 0)\/((-18)\/6). What is the second smallest value in r, 0.1, 2\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 3:56 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 438301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r + 45. Calculate b(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 170, 177, 176, 161, 126, 65?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 - 5*n - 10. Let r be i(5). Find g, given that 45*g**3 - 150*g**2 - r + 40*g + 105*g - 5*g = 0.\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 7*a + 2. Suppose 2 + 4 = -2*b + 4*n, 1 = -b + 3*n. Let w be d(b). Sort 5, w, -3 in descending order.\nAnswer: 5, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573314, -573313, -573312, -573311, -573310, -573309?\nAnswer: -573308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15*h**3 + 29*h**2 - h - 33. Let a(t) = -5*t**3 - 10*t**2 + 11. Let c(b) = -8*a(b) - 3*r(b). Is c(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31\/95 - 10\/19. Let d = 2 - 0. Which is the closest to 2\/7? (a) w (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {k: 2, o: 1, r: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 89*r + 538. Determine c(-11).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*s - 223 = 475, 3*i = -3*s + 2088. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f = -46 - 34. Which is the third smallest value? (a) f (b) 0.5 (c) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of 115*v**3\/2 - 206*v. Let x(f) = 2*f**2. Give m(x(b)).\nAnswer: 690*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.43569 months to decades.\nAnswer: 1.60363075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 e when three letters picked without replacement from {x: 9, e: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 17\/((-5865)\/(-30))*(-851)\/148*10\/4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 447, 1797, 4053, 7221, 11307, 16317, 22257, 29133?\nAnswer: 36951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 568.5712 days?\nAnswer: 49124551680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 7 - 83. What is the remainder when g is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + (-552)\/(-21). Suppose -s + 6 = 2*p, -4*s - 4*p = 10 - x. Let z(w) = -w + 4. Let c be z(s). Solve -c*d + 0*m + m = 5, 5*m = 15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 83*q**2 + 284*q - 535. Calculate the lowest common multiple of 2268 and w(86).\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 1 + 4 + 2*i**2 + 6*i + 3. Let m be g(-5). Let h(r) = 194*r + 630. Let z be h(-3). Calculate the highest common factor of m and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven tenths of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1280 = -5*h - 5*s, 3*s - 1025 = 3*h - 7*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 11 + 31. Let o be 3395\/210 - 1\/s. Calculate the greatest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21422076 to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(1900) + 2 + 4) - (0 + sqrt(1900)*1 + sqrt(1900) - (-1 + sqrt(1900)*-2 + sqrt(1900))))**2.\nAnswer: 10780*sqrt(19) + 232301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3*j + 40. Let y(n) = 8*n - 110. Let c(m) = -11*v(m) - 4*y(m). Suppose b = -3*b + 12. Let p(t) = 7*t + b*t - 2*t. Determine p(c(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 10*p**3\/9 + 2474278*p**2\/3 - 4453708*p\/9 - 329904 = 0?\nAnswer: -742284, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 279 in -4\/3, 10, -2, -1\/223?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.37 + 0.36. Let o = 3.02 - 0.02. What is the closest to o in 1, -3, m, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -0.26, -1\/6, 1\/44, -0.5?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-22))\/(3243\/83237)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*q - 0*q + 375, 5*y + 5 = 0. Is -74 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14925 = 728*q + 4733 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 4. Determine l(-8).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-4)\/14)\/((-9)\/42)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2469 a factor of 153337867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 4*g + 5*g)*((0 + 1 + 1)*(g**2 + 0*g + 0*g) + (1 - 1 - g)*(5*g - 2*g - 2*g)).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201709202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/21*(8 + -1). Let n(j) = -j**3 - 6*j**2 + 8. Let z be n(r). What is the highest common divisor of 48 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819022261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4676 - -173624?\nAnswer: 166726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 1, w: 6, y: 6, z: 3}. Give prob of picking 1 n, 1 z, 1 q, and 1 w.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = -23*u + 40. Sort -5, -3, u, -4 in descending order.\nAnswer: u, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 48*f**2 + 1541*f - 64. Give l(70).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5497 and 19573.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(72) + -5*(sqrt(72) + 0))**2 + 2) - (3*(sqrt(72) + 1*sqrt(72) + 2)**2 + 3).\nAnswer: -144*sqrt(2) + 6045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(25\/(-15) + 2). Suppose -o*t + 6*t = -12. Suppose 53 = t*s - a + 6*a, 3*a + 13 = 4*s. Solve 3*i - g - s = 0, 4*i + 0*g = -g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 - 320*n + 3056*n**2 - 3056*n**2 + (3*n**2 + 2*n**2 - 6*n**2)*(-4*n + 3*n - 3*n) as p*n**3 + w*n + g*n**2 + x and give w.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 3060 = -2983 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - -56?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0069103 to 4 dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 61*p**2\/6 - 160*p + 150.\nAnswer: -(p - 30)**2*(p - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.8 + -9. Let l = 8.8 - 9. Let n = l - g. Is n not equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-90207)\/90)\/((-18)\/(-15)). Let v be 1 - (-33)\/(-36)*922. Let n = v - q. Find the common denominator of n and -23\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 10 = 3*u, -13 = 3*o + 7*u - 9*u. Let c(s) = 2*s**3 - s**2 + s + 1. Give c(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 49*l**2 + 140*l + 154. What is the remainder when 1423 is divided by w(-46)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyh when four letters picked without replacement from {v: 6, y: 3, h: 1, l: 1, o: 1}?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3267, 3251, 3235, 3219, 3203, 3187?\nAnswer: 3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fkkvffa?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - -1?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*f + 248 = 0, 3*d - f + 124 = 4*f. List the prime factors of (1 - 11\/5)\/(d\/4640).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**4*x - 38*b**4 + 7*b**3*x + 6196*b**2*x wrt b.\nAnswer: 72*b*x - 912*b + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3 + 8 = f, -z - 7 = -2*f. Let l(w) = w**4 + 4*w + 3. Let v(s) = -s - 1. Let b(y) = z*l(y) - 3*v(y). What is the second derivative of b(n) wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/19 equal to -81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -32. Let z be (-4)\/x*-2*(-42)\/12. What is the hundreds digit of (206\/z + -1)*105\/(-60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 14, h: 1, a: 5}. What is prob of picking 1 a, 1 h, and 1 y?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*r + 12 = p, p - 4*r + 9 = 0. Suppose p*z = 3*m - 48, -m + 2 = 4*z + 6. What is the smallest common multiple of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516028.2 centuries in years?\nAnswer: 51602820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/31))**29\/(s**(-4\/7)*(s**37*s)\/s) assuming s is positive.\nAnswer: s**(-8311\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1508925485.\nAnswer: 5, 301785097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101000111011111 (base 2) to base 16.\nAnswer: -51df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15\/11 + 311\/220. Let h(r) be the third derivative of 0 + d*r**5 + 2*r**2 + 0*r**4 + 1\/6*r**3 + 0*r. Differentiate h(p) with respect to p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h + 2*h. Solve v - 2*v + h = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*u + 89, 0 = 3*b - 4*u - 63 - 2. Let y = 2 + b. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3*z + 9. Let f(v) = v + 1. Let k(a) = -3*a + 1. Let p(g) = 4*f(g) + k(g). Let r(h) = 5*p(h) - 2*w(h). What is r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (0 + (1 - (-1 - 2))). Let h be z*8\/(440\/(-105)). Which is greater: -3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-2 + 1)) + (-1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 2\/7 (b) -1\/4 (c) 2.1 (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 9*s - s)*(2 - 3 + 2)*(-4*s + 3*s + 2*s) - s**2 - s**2 + s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 4:18 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.094 - 0.094. Let x = -0.0923 + -0.3077. Which is the nearest to 0.1? (a) x (b) -15 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/5))**(2\/21)*r**9*r\/(r*r**(-14))*r assuming r is positive.\nAnswer: r**(842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqzj when four letters picked without replacement from {q: 6, z: 7, j: 6}.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1143*d*l**2 + 2*d*l + 471*d + 4*l**2 - 2*l - 2 wrt l.\nAnswer: -2286*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 - -294?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from {c: 11, z: 2}?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 3*g + 19. Let v(n) = -n**2. Let h(a) = -o(a) - 4*v(a). What is the tens digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f. Let a(m) be the second derivative of 101*m**3\/6 - m**2\/2 + 171*m. Determine u(a(d)).\nAnswer: -404*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-406)\/58 + (-50)\/12*-2. Suppose g*v + 4\/3*v**2 - 8\/3 = 0. What is v?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13090 is divided by 13083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/17*h**2 - 142\/17*h - 36\/17 = 0. Calculate h.\nAnswer: -1\/4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44407 divided by 2.\nAnswer: 44407\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -10 - (7 - 4) - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7915026ng in tonnes?\nAnswer: 0.0000000000000007915026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -5*x**2 + 7*x - 1. Let t(a) be the first derivative of 5*a**2\/2 - 4*a + 543. Determine -4*n(c) - 7*t(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 341, 860, 1801, 3302, 5501, 8536, 12545?\nAnswer: 17666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 + 0 - 45*b - 4.\nAnswer: -45*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30\/31 (b) 1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78, 157, 230, 297, 358, 413, 462?\n\"Answer: -3*v**2 + 88*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 185*p + 1663. Let i be h(-9). Let k = -7 + 7.03. Which is bigger: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3*s**3 - 2*s**2 - s + 1. Let z(m) = -455*m**3 + 4*m**2 + 3*m - 3. What is -3*p(r) - z(r)?\nAnswer: 464*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - 21\/4. Let n(x) = x**2 + x - 5. Let q be n(i). Let h be ((-6)\/q)\/((-1)\/5). Solve 2*m = -h*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37.1 greater than -0.0773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*q**3 - 60*q - 3 + 60*q wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218208 and 800.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 43, -3 in increasing order.\nAnswer: -5, -3, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 - 33?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -2*m**6\/21 + 13*m**5\/35 - 2*m**4\/7 + 276*m - 2. Solve s(n) = 0 for n.\nAnswer: 0, 3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6200797.\nAnswer: 431, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(2\/12). Suppose 4*a - n*d - 241 = 91, 0 = -3*a + d + 250. Let w = 6 - -6. What is the highest common divisor of a and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 9387.777?\nAnswer: -37551.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 6. Let v be (-34)\/8 - b\/12. Is 1\/v + 410\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8681*y. Let g(c) = 5*c. What is g(w(u))?\nAnswer: 43405*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5646*f**2\/11 + 232*f\/11 = 0.\nAnswer: -116\/2823, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 233*j - 227*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232141 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxxooxoxddodxxo. What is prob of sequence oox?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 21552540?\nAnswer: -21552540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615355689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8526796 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 16. Let i be k(8). Solve i = -2*h - 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + -5. Let x = y - -14. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 4*i + 7. Let t be c(0). Determine y, given that t*y + 3*y**2 - 5*y - 9 - y + 5*y = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -18 + 6. Let h(y) = y**3 - 8*y**2 + 2*y + 6. Let n be h(8). Let t = n + w. Solve 7*j - 2*j = -t for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 4*m = 62, 146 = -5*x + m. Let g = 55 + x. Suppose 0 = -q + 7 + 8. Calculate the remainder when g is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 6364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/20 - 13*j**2. Let r(x) = 5*x**2. What is r(h(n))?\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7659\/(-40))\/((-2)\/10). Let w = t + -959. Find the common denominator of w and ((-56)\/92)\/(2 - 0).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(((sqrt(68) - (sqrt(68) + sqrt(68)*-2)) + sqrt(68))\/sqrt(4) - (-6*(-2 + sqrt(17)) - sqrt(17))) - (1 + -3 + sqrt(119)\/sqrt(7))*3)**2.\nAnswer: -7524*sqrt(17) + 59594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008173139 rounded to 4 decimal places?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. What is the second derivative of 6*l**q + 2*l + 5 - 5 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 10725?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/3*(-146)\/292 - (-184)\/16?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*t - 4428 = -4*y, 4*t - 3*y + 5*y + 2*y - 52 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 111 - 109. Let r(f) = -4 - y*f - 6 - 6 + 8. Determine r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6121859*g**3 + 114*g + 24085.\nAnswer: 36731154*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - ((10 - (15 + 3) - (0 - 14)) + -6).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 11*l**2 + 64*l + 49. What is r(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/509?\nAnswer: -2\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0 - 4 = 0. Suppose 0 - 2 = 2*u, -q*a + 4*u = -12. Let o(f) = -f**2 + 4*f + 5. Let v be o(a). Solve 0 = v*j - 4 + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113805751 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (214*p + 294*p - 186*p)*(-22*p + 33 - 33).\nAnswer: -7084*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 7, 52, 303 in descending order.\nAnswer: 303, 52, 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -12211210021200?\nAnswer: -12211210021120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.3 - -19.3. Let y = 19 - n. Which is the nearest to -1? (a) -0.02 (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 1162493885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 5*p = -21, -17 = 3*j + 3*p + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 - (-9 + (-151 - -6)). What is the greatest common factor of r and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*z = -0*z + 8, -z + 3 = y. Suppose 0 = 3*o - y - 4. Suppose 4*i - 222 = 2*r, i - 5*r = o*i - 61. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-111)\/2. Let c = 827 - 822. Suppose 10 = c*f - t. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 1}. What is prob of picking 2 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {a: 1, b: 3, x: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*20\/(-18))\/(-4*1\/(-6))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -13*f**3 + f**2 - f - 1. Is 6 a factor of a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12*o + 19*o + 0 - 17*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbpm when four letters picked without replacement from xbbxxxbmpxpp?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38976)\/(-10920) + (-247)\/65?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32359?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:58 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/14 (b) 0 (c) 0.1 (d) 1\/4 (e) -22\/15 (f) 47 (g) 12\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -6, 17?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50\/((60960\/3126 - 22) + (-10)\/(-4))?\nAnswer: 2, 5, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 34 - 1 = 0. Let o = 10 - g. Let q be ((-14)\/o)\/(4\/6). Is 3\/8 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/76999484 or -1?\nAnswer: -1\/76999484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 363272. Let n(k) = -2*k**2. Give q(n(z)).\nAnswer: -8*z**4 - 363272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 639 + 411. Find the common denominator of 4 + 813\/n + 0 and 67\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (3 - 2) - -32. Let a be x\/4*(2 - 4). Let i = a + 19. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103991 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80252079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3\/5 + 332124*f**2\/5 + 1378862604*f + 1378796180 = 0. What is f?\nAnswer: -41515, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1526, -3053, -4572, -6083, -7586?\nAnswer: -9081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**5 - 4*b**4 + 4*b**3 + 2*b**2 - 5*b + 2.\nAnswer: (b - 2)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + -5*(1 + sqrt(147))*6.\nAnswer: -210*sqrt(3) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(26)\/((sqrt(490) + sqrt(10))\/sqrt(5)))**2.\nAnswer: 269\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 t when two letters picked without replacement from {f: 8, t: 3}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 84379\/4892 - -2\/1223. What is the common denominator of w and 50\/427?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -5 (b) 35\/2 (c) 5 (d) -0.4 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t = 186*t + 2432 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k + 1\/3*k**3 - k**2 - 1\/3.\nAnswer: (k - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*l**3*w + 10*b**3*l*w + 2*b**2*l**3 - 5*b**2*l*w wrt b?\nAnswer: 12*l**3*w + 60*l*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 17*b**2 + b + 18. Let k be w(-17). Which is smaller: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8412?\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -523, -460?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6861, 13776, 20761, 27816, 34941, 42136, 49401?\nAnswer: 56736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a39 (base 11) in base 15?\nAnswer: -2522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-4)*10\/(-35)*-14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15*f - 13. Let m(o) = 7*o - 6. Calculate 4*h(z) - 9*m(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 4, t: 7, k: 5}. What is prob of picking 1 k, 1 t, 1 s, and 1 r?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.47 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 41997, -4, 1 in decreasing order.\nAnswer: 41997, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 12:27 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -932 - -931.92. Which is the smallest value? (a) q (b) 2\/13 (c) -3 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5341 is divided by 1647?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 + 14229 - 14229. Let i(d) = 4504*d. What is k(i(c))?\nAnswer: -40572032*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 14039?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**3 + 6*n**2 - 17. Let s(p) = -101*p**3 + 39*p**2 - 103. Determine -26*g(b) + 4*s(b).\nAnswer: 38*b**3 + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 7 + 21. Calculate the smallest common multiple of 10 and b.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1158.911+0\nAnswer: -1158.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*g + 240. Suppose 3*m - 41 = 4. What is the greatest common factor of g and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 1414 - 2186 = 0. Let y be ((-4)\/10)\/(3\/m). Let s = -37 + y. Calculate the greatest common factor of s and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/66 and -43\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9698466ml?\nAnswer: 0.0009698466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - -1*(-95)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -721785 + 721787. Let w be -3 + (0\/2 - -1). Sort l, -1, w, 22 in decreasing order.\nAnswer: 22, l, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 38*q + 1307 = 1388 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194208?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = o - 10, 3*s + 0*s + o = 20. Let i(w) = w**2 - 5*w + 5. Let t be i(s). Suppose 2*q + 2*q - 31 = 3*h, -37 = -3*q + t*h. Solve -2 = -q*d - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:12 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l**3\/2 - 1082895*l**2\/2 - 1985247*l = 0. What is l?\nAnswer: -120318, -11\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2727685 and 1840?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of 0*g + 5*g**3 + 1\/2*g**2 - 129. Determine d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1664*g**2. Let q(v) = 17*v. Calculate a(q(c)).\nAnswer: -480896*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.76 - -1.324. Let z = -36.864 + m. What is z rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 78 = -75. Suppose 2*q - h = 45. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-61641)\/(-336) + 1 + -1. Let r = d + -1317\/7. What is the common denominator of 1 - (234\/(-44))\/3 and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 4*w - w)*(82*w**3 - 120*w**3 + 714*w**3) + (w - 2*w**2 - w)*(-4*w**2 + 4*w**2 - w**2) to h + t*w**3 + c*w**4 + j*w**2 + n*w and give c.\nAnswer: 678","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 take away 1700240449?\nAnswer: -1700240449.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020 divided by 10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 128*v - 2 = a + 126*v, 15*a - 4*v = -64 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 75 in 0.17, 11, 12\/11, 3\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 47*c - 41*c + 98*c - 48*c - 214 + 458.\nAnswer: c + 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 1:27 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -83514 divided by 2?\nAnswer: -41757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 222719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 23*q**2 - 13*q - 28. List the prime factors of f(-21).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*u)*(-4*u - 3*u - 3*u) + 4*u**2 + 3*u - 8*u**2 + 6*u**2.\nAnswer: 22*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2718 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 + (-34)\/(-3). Suppose q = c + c. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -37*p**2 + 341*p - 76. What is m(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 387168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, 0.06, 1, 3\/8, -78\/19, 5, -2\/3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -111*j - 14656. Give x(-132).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -5. Suppose 2*i + g = 2. Let s be 2 + i + (4 - -1). Solve s*j - v = -2*v - 20, 0 = 4*j - 4*v + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:11 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 47. Suppose 2*s - 24 = 2*v, 0 = 5*v + s + y - 11. Let u = -3 - v. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 13*i + 3375. Is 75 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1877525 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 576 - 609. Let p be 6\/34527*2\/(-4). Let s = p + -771095\/92072. Find the common denominator of a and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 86. Let l be 1 - -6 - 1 - (-1 - 1). Calculate the remainder when h is divided by 4\/16 + 102\/l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**2 - 77*l + 28. What is h(-12)?\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -21. Suppose -l*w + 7*w = 216. Let y = w - 48. Calculate the highest common factor of 24 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-1\/10))\/n**5)**(-23))**(-3\/16))**(-1) assuming n is positive.\nAnswer: n**(2691\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 681, 1, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k**(-15)\/k*k)*k)**(-28)\/(k**(-2\/15)*k**(-8)) assuming k is positive.\nAnswer: k**(-7858\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*3\/(-6) - 3. Calculate the remainder when 74 is divided by v\/(3\/(-5))*5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f = -54. Calculate the remainder when 69 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 210.3 + -210.459. Which is the closest to n? (a) -4 (b) 0.9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*z + 824 + 43 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-922)\/4610 + (-56)\/(-230)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38\/13? (a) 4 (b) -2 (c) 0.4 (d) 3 (e) -5 (f) 7875\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/10*(-63)\/(-84).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 + 4*s - 4. Let j be g(-6). Is (j\/12*-249)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -5650\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/33 and 133\/125646.\nAnswer: 1382106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1168, -0.3, 589.\nAnswer: -0.3, 589, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:21 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192225 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 1 - (-4 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z + 1. Let k be 3\/(-2) + (-436)\/654 + (-2)\/(-12). Let j(x) = -x. Determine k*t(w) + 18*j(w).\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*f - 4*f + 3*f)*(3 + 0 - 2) + 3 - 3 + f)*(3 - 4 + 2).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.497 * 0.45655.\nAnswer: 1.14000535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8440*u**3 - 15 + 3*u + 8432*u**3 + 13 + 13 - 11.\nAnswer: -8*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 11:50 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 31*d**3 - d**2. Let k(u) = 0 - 3 - 4 + 6 + u. Let z be k(2). What is the remainder when h(z) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (0 + -5 - -28)) + 9 + -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43974358 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fftf when four letters picked without replacement from {f: 4, k: 1, t: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -152 - -324. List the prime factors of m.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47, -58, -61, -56?\n\"Answer: 4*y**2 - 23*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3 + r - 3*r + 29*r**3 - 3*r + 0*r**2 + 2*r**2 - 33*r**3. Let x(q) = -q**3 - q**2 + q + 1. Determine -f(h) - 3*x(h).\nAnswer: 7*h**3 + h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 934.5772um to meters.\nAnswer: 0.0009345772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7204.8 - -7205. Let p = -0.17 - 6.83. Let y = p - -11. Is v greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*k = 2589, 2*f + 1732 = -0*f - 4*k. Round f to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 837973\/377 greater than 2223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*f - 15, -25 = -6*f + 11*f. Let u be 0\/9 - (1 + w + -3). What is the second smallest value in u, 0.4, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437261.\nAnswer: 3437261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83 + -78. Let k(j) = j**2 - 10*j + 10. Let a be k(10). Solve -s*p - 6 = -r, -3*p + 3*r + a = -r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r + 3 = -3*g, -14590*g + 14592*g + 5*r = 5 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1817\/5 - -43163\/120. Let d = 225\/44 - 2351\/264. Calculate the common denominator of d and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480909 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, x: 2}. What is prob of sequence xax?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - 0 - (-1780)\/1320 and -157\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4*j = -0*j - 52, -2*l - 2*j + 10 = 0. Let x be (-3 + -1)*l\/4. Suppose -4*c - 3*i = 38, -20 = 29*c - 26*c - 2*i. Which is smaller: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359 - 313 + 32*y - 330 + 984.\nAnswer: 32*y - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 76 = -0*h - 4*h, 4*j = 5*h + 155. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22155*g - 22747*g = -13616 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -11*b + 8. Differentiate -17*o**2 - 2 - 13 - 19*o**2 - b with respect to o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32222 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: Rearrange (-3*l**3 + 4*l**3 + 0*l**3)*(-6566*l + 99 + 1651*l - 99) to the form o*l + j*l**2 + t*l**3 + g + r*l**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-4))**31)**(11\/8) assuming d is positive.\nAnswer: d**(1705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 80 + -80. Suppose -2*r + 3*l + 17 - 1 = f, l - 4 = -4*r. Suppose r*m + 5*n = 210, -2*m - 4*n + 206 = -0*m. List the prime factors of m.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -9*i - 5. Let b be j(-8). Suppose 0 = -3*c, -5*k - 92 = -3*k + c. Let g = b + k. What are 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 the greatest common factor of 14128 and 84264690?\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**1))**(3\/8) assuming i is positive.\nAnswer: i**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 7. Suppose 5 + 1 = 3*j, 4*d - 2*j = 16. Find the first derivative of -2*c**q + d - 1 - 2 wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88 - -87.18. Let d = c - -9.22. Let a = d + 1.9. What is a rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2232*x**2 + 4606*x + 7. Let l(g) = 1115*g**2 + 2303*g + 3. Let j(b) = -7*l(b) + 3*z(b). What is the second derivative of j(f) wrt f?\nAnswer: -2218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 205. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554 divided by 13.\nAnswer: 554\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 divided by -4?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/50)\/(4 + -2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, s: 6}. Give prob of sequence srss.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/((-21)\/(-2)) - 0. What is the third smallest value in 15, 3, y?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -726, -1308, -1816, -2214, -2466?\nAnswer: -2536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + 0 - (5 + sqrt(19) + 0 + sqrt(2736) + sqrt(19) + sqrt(19))**2.\nAnswer: -4298 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 6, y: 6, z: 3, d: 2}. What is prob of picking 2 p, 1 c, and 1 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.948 (b) -4 (c) 3 (d) -1 (e) -2\/5 (f) -3 (g) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 - 38*n**3 + 19*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/2*q - 13\/4*q**2 - 7\/4*q**5 - 23\/4*q**4 - 27\/4*q**3.\nAnswer: -q*(q + 1)**3*(7*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6568000 to the nearest 100000.\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.767 and 3491.1?\nAnswer: 2677.6737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = -4. Let v(x) = 15*x**2 + x. Let o be v(z). Let t = 322 + -266. What is the highest common factor of t and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*k = 0, 4*t + 5*k = 1 - 6. Suppose -4*p - 5*i = 18, t*i + 8 = -2. List the prime factors of (-5 - -3)\/p*12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - -18.6. Let r = -1.6 + 19.6. Let f = d - r. What is the nearest to 1\/4 in f, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 divided by -122\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 306071533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3047, 0, -2, 2, 18, -1.\nAnswer: -3047, -2, -1, 0, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 - 59. Let d(b) = -4*b**2 + 60. Let p = -385 + 382. Let s(j) = p*t(j) - 4*d(j). What is the first derivative of s(u) wrt u?\nAnswer: 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*f = 21, -4 = -h + f + 2. Let u be 19 + -16 + 4\/h. Solve 8*o - 1 = u*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 9*k - 4*k = 41, 0 = 5*b + 2*k - 71. Calculate the highest common factor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -29 + 33. Calculate the remainder when 32 is divided by -3 + 4 + 8 + (-8)\/l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5743*p + 57801. Give f(-10).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8929, 17910, 26891, 35872, 44853?\n\"Answer: 8981*s - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -29*r**3 - r**2 - 2*r - 1. Determine c(-1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d)**(-32)*d**(-13)\/d**(-11) assuming d is positive.\nAnswer: d**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 106\/9 + 18\/81. Let o(z) = 2*z + 1. Let x be o(1). Let p be u\/(-8)*(-4)\/x. Calculate the greatest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 5\/2 (b) 0.1 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**3\/3 - 469*r - 1. Let w(m) = -3 + m + 6 + m. Give d(w(f)).\nAnswer: -4*f - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.63 - -192.37. Let h = -193.1 + w. Put -0.4, h, -5, 1 in ascending order.\nAnswer: -5, -0.4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*77\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 14*f**2 - 25*f + 6. Let d be x(11). Suppose 0 = -4*w - 16, n - d = 3*w + 721. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**(-4\/5))\/r)\/(r\/((r*r**(1\/14)*r*r*r)\/r)))\/(r*r**(-1\/2))**3)\/(r**4\/((r\/(r**1\/r))\/r)*((r**(-2)*r)\/r)\/((r\/r**5)\/r)) assuming r is positive.\nAnswer: r**(-253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106, -104, -102, -100, -98?\n\"Answer: 2*u - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)\/sqrt(9) + sqrt(5))*3.\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 201406?\nAnswer: 201404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 16) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 44932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24266 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 (base 16) in base 7?\nAnswer: 20644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(125) - sqrt(125) - sqrt(125))*-4 - (sqrt(125)*-1 + -2) - -6*(sqrt(125) + (sqrt(125)*2 + -3 - sqrt(125)))*5))**2.\nAnswer: -1932480*sqrt(5) + 17023284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let n(r) = 3. Let i(w) = n(w) - 3*v(w). Let k(f) = -9*f**2. Calculate i(k(a)).\nAnswer: -27*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 10. Let p be t(-7). Let z(q) = -q**3 - 2*q**2 + 4*q - 1. Let r be z(p). Which is the third smallest value? (a) 2 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 4*m - 8. Give n(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeedfdfeeeeddddee. Give prob of picking 1 d and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4243, -4244, -4245, -4246, -4247, -4248?\nAnswer: -4249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*q + 14, -2*d + 41277 + 41293 = 4*q + 82536 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*c + 5*j, 11207*c = 11202*c - j + 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/49149 and 23\/3048.\nAnswer: 393192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -15 - 1. Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 981 - 3464 = 0. Suppose f - n = 193. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/23? (a) -1\/17 (b) 440 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.6 rounded to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a**2 - a + 2. Let l be o(-2). Find the common denominator of 8\/(-2) - 106\/l and -17\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 10*n**2 + 100\/3*n**3 + 10*n + 0 + 565\/12*n**4 - 135\/14*n**7 + 41\/4*n**5 - 39\/2*n**6. Solve d(j) = 0 for j.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 311460?\nAnswer: 2, 3, 5, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -598)*259\/(-148) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141572 = -3*k - 2*u, -58665 = -k + 5*u - 11514. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**4\/2 + 23*j**3\/3 + 6*j**2 + 14*j - 589. What is w(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 27.13. Let z = o - -0.146. Let g = z - 0.098. What is g rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 139*j**3 - 1. Let b be i(1). Suppose -4*q - 5*o + b + 39 = 0, 2 = 2*o. Let u(s) = s**3 + s + 1. Calculate the remainder when q is divided by u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28046 + 28098. Calculate the remainder when 72 is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**5\/4 - 5775*o**4\/4 + 262197*o**3\/4 + 1728995*o**2\/4 + 662076*o + 296820 = 0.\nAnswer: -5820, -4, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(1\/3))**(7\/13)*(s*s\/s**(-9))\/(s*s**(-3\/11)))**(-34\/3))**(1\/61) assuming s is positive.\nAnswer: s**(-152456\/78507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.202291kg?\nAnswer: 6202.291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 1:55 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 36972 = 65636. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 22*c + 57. Determine x(-24).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -64 + 61 + (1 - 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.926771 centimeters?\nAnswer: 0.06926771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 8 = v, 5 = -3*v - l + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0.1. Which is the biggest value? (a) 2\/9 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -800*r**3 - 287*r**2\/2 - r + 1. Is p(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p - 14 + 14 + (3*p - p - 3*p)*(-1 + 10 + 5).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -52*j**2 - 42*j + 67. Let b(t) = -19*t**2 - 14*t + 22. Let p(x) = -11*b(x) + 4*n(x). Let l = 103 + -91. What is p(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*t + 97*t**2 + 167 - 16 - 83*t**2.\nAnswer: 14*t**2 + 236*t + 151","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 368*d**3 + d**4 - 5*d + 35 - 447*d**3 + 4*d**4 - 35 to the form k*d**2 + a*d + o*d**4 + s*d**3 + t and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) -2\/7 (c) 2\/593 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37732.245 rounded to the nearest 10?\nAnswer: 37730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118603*u - 96828*u + 8394*u.\nAnswer: -207037*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 + 520*r**2 - 3*r + 774. Calculate c(260).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-7 + 1 + 2 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -5*n - 2*f + 20, 4*f - 20 = 0. What is the closest to 2 in 2\/7, n, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 308746827 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 0*n**4 + 0*n**2 + 0*n**5 + 43\/3*n**3 + 97 + 0*n + 0*n**6 - 114\/7*n**7. Find the third derivative of i(d) wrt d.\nAnswer: -13680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/37 or -1?\nAnswer: 18\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 104*z**2 - 24*z - 8192. Let h(d) = -d**3 - 210*d**2 + 54*d + 16384. Let n(o) = -4*h(o) - 9*y(o). Determine a so that n(a) = 0.\nAnswer: -8, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20304 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*0.1502.\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231517*b**3 + b**2 - 197021*b - 2 wrt b.\nAnswer: 1389102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 4:23 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**7\/280 - d**5\/60 - 2*d**3\/3 + 1. Let f(c) be the third derivative of j(c). What is the second derivative of f(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17794, -17791, -17788, -17785, -17782?\nAnswer: -17779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a day in seconds?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4793, 4809, 4835, 4871, 4917, 4973?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 63?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 130 - -281.8.\nAnswer: 411.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + x)*((-3*x + 3*x - x)*(-5*x + x + 5*x) + 2*x**2 + 0*x**2 - 5*x**2)*(0 + 0 - 5).\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1721, -2172, -2623, -3074, -3525, -3976?\n\"Answer: -451*w - 1270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4016 - 7961. Let b = m - -35464\/9. Let d = -532 + 4329\/8. Calculate the common denominator of b and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2630471 times -0.03\nAnswer: 78914.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48\/5*c + 288\/5 + 2\/5*c**2.\nAnswer: 2*(c + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t + 23*t = -n + 120, -4*t = 8. What is the lowest common multiple of n and 36?\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31339\/13024)\/(7\/(-4)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 + 3)*(3*y**3 + 2*y - 2*y)*(128*y - 79423 + 79423)*(2 - 3 - 2) as t*y**4 + g*y**3 + p*y**2 + u*y + b and give t.\nAnswer: -9216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 526?\nAnswer: 3682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - 1.55. Suppose q - 2*q = -6. Suppose q*l + 3*x = 2*l, x = -4. Which is the closest to 0.1? (a) l (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 260 - 251 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37095882 and -0.5.\nAnswer: 18547941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3375)\/(-6)*9768\/185. What is r rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2 - 31*h + 4 + 3 + 4.\nAnswer: -31*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/7)*i*i**6*i*((i*i**5*i)\/i)\/(i\/(i*i**(1\/5)\/i)) assuming i is positive.\nAnswer: i**(447\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 224 + -232. Let i be l\/2 + 14 + -7. Sort 0.02, -5, i in decreasing order.\nAnswer: i, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 180 = -4*h. Suppose -3*m - 2*m = -h. Calculate the remainder when 21 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 5*b + 11. Give a(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32222743*c**2 - 53189*c + 8.\nAnswer: -64445486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4653 and -76\/4653.\nAnswer: 4653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 3202516.\nAnswer: 15\/3202516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*t - 80 - 184. Which is the third biggest value? (a) -1 (b) -4\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62603866 is divided by 125?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23615, 23607, 23597, 23585, 23571, 23555?\n\"Answer: -p**2 - 5*p + 23621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 divided by 223?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(30)*2*-3)\/(1*sqrt(3456)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 8*k + 3*n + 165, 0 = 3*n + 15. Calculate the remainder when 1195 is divided by k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -95, -87, -75?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*m + 3998 + 961 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201974 + -337374. Round b to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4*r - 3*r - 19*r + 1 + 50*r.\nAnswer: 24*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 52*x + 51*x - 6, -15 = -9*v + 2*x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 4\/183, 3\/5, -22\/9?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 7:05 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807*g + 779*g + 3248 = 0. Calculate the highest common divisor of g and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 993 - -278. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/18 and 41\/3033194.\nAnswer: 27298746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/5 - 22*w**2. Suppose 0 = -3*k + 6 - 0. Let f(y) = -2*y + k*y + y**2. What is t(f(x))?\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 3*j + 4. Let b be z(4). Suppose 3*i - i - 28 = -5*q, q - b = -5*i. Is 11 a factor of 2 - -7*24\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)\/((sqrt(36) + sqrt(72)\/sqrt(2))\/sqrt(4)) + 3.\nAnswer: sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let o(j) = j - 12. Let m(k) = 3*k + 1058. Let c(p) = -m(p) - 2*o(p). Determine c(i(t)).\nAnswer: -5*t**2 - 1034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 28 = 56. Let x(a) = 25*a - 16*a - t*a. Let i(f) be the first derivative of -3*f**3 - 1. Calculate x(i(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632.\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40006, 160322, 360850, 641590, 1002542, 1443706, 1965082?\n\"Answer: 40106*a**2 - 2*a - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 272.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 4)*(0*c + 0*c - 2*c) + 7*c + 3*c - 4*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f - 2. Let b be j(4). Let y(w) = w**2 + w + 17. Let t be y(0). Suppose -85 = -5*q - 4*h, t = q - b*h + 6*h. Does 17 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 5. Let f be (2 + -1)\/(k\/8). Suppose -4*g + f = -0. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.091143 + -144\nAnswer: -135.908857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24888 + 45701 + 5*i**2 - 20813.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10014754 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.47233ml?\nAnswer: 0.09047233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) -1\/4 (c) -4\/9 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-3 + 3)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 96 + 46. Suppose l - 2 = -q. What is the units digit of (l\/(-3))\/(22\/99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -15 - (15 - 40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 99 + 53 + w + 47. Let i = 5 + -3. Is 4 a factor of k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7*z - 36. Let b = 13.18 + -10.18. What is the nearest to -0.1 in z, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 3*s - 5, 3*s = -5*b + 290 - 291 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - q - 11. What is l(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 39*c**2 - 204*c - 112. Determine d(24).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 10:50 AM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 3*r - 42, 6*r = n + 495 - 411 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1063 less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r - 3. Let d be f(0). Let o be (d + 1)\/((-2)\/(-8)*8). Let x(a) = -2*a**2 + 6*a + 6. Let j(p) = -5 - 1 - p + 5. Determine o*x(q) - 6*j(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-13) + (-925)\/(-325). Solve -2*d - 29 = -5*o, m*d = -2*o - 0*d + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.1, 0.383, -2\/3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 13 + 20*b)*(-2 + 0*b**3 + 3 - 2*b**3)*(0*b + 4*b - b).\nAnswer: -120*b**5 + 60*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 72?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 5.6. Put z, 1\/4, -3 in descending order.\nAnswer: z, 1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 179*u**2 + 538*u - 1771. Give j(176).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 12*j + 15. Suppose -37 = -26*d + 119. What is v(d)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*i - 157, 2*d = -5*i - 477 + 159. Let y = 83 - d. Is y a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((24\/3)\/16)\/((-16)\/16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 + 7*k**4 + 0*k**4 + (-k**3 + 3*k**2 - 3*k**2)*(-6 + 5*k + 6) - k**2 - k**4 + k**2.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/5 - (-6)\/(-10). Calculate the lowest common multiple of 20 and a + (9 - (3 - 2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(7\/((-14)\/4)). Suppose 0 = o*n - 4*x + 1 - 67, -3*n + 5*x = -37. Let h be 2\/n + (-5)\/35. Solve -4 = -2*z - h*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9977, 10399, 11095, 12059, 13285, 14767, 16499, 18475?\n\"Answer: -s**3 + 143*s**2 + 9835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-33)\/(-9) - 3. Let l = 4 + -10\/3. Factor 0 - f*q**2 - 4\/3*q**3 - l*q**4 + 0*q.\nAnswer: -2*q**2*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:14 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*i + 1 + i - 28*i + 7*i as l + n*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8. Suppose 4*p - 2*k + 2984 = j, 2*p + 1103 = 5*k - 373. Round p to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.446082909+-0.4\nAnswer: 0.046082909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 22\/(-8). Let y = -2 + j. Let f = 9 - 7. Sort 4, y, f in decreasing order.\nAnswer: 4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3314 + 1?\nAnswer: -3313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12212134 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -235712.27 to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojjmjmajj. Give prob of picking 3 j and 1 o.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 612437.2nm to kilometers.\nAnswer: 0.0000006124372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 + 969684*q + 156714509976.\nAnswer: 3*(q + 323228)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2494415905 to the nearest integer?\nAnswer: 1356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13810126 to the power of 1\/2, to the nearest integer?\nAnswer: 3716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u. Let b(g) = -2*g**2 + 5. Suppose -7*h + 12 = -3*h. Let v(o) = 4*o**2 - o**2 + h - 4*o**2. Let j(f) = 3*b(f) - 5*v(f). Calculate x(j(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1333*m**3 - 15*m**2 wrt m?\nAnswer: -7998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*35\/(-168)*(-16)\/20*(-450)\/(-10300)?\nAnswer: -3\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 x when two letters picked without replacement from {x: 1, b: 4, q: 1, r: 4}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) -5076 (c) 10 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4462 and 3174.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 3*f**2 - 6*f. Let t(j) = -j. Suppose 9*n - 3*n - 36 = 0. Determine n*t(m) - x(m).\nAnswer: -m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.64 + -0.16. Let p = v - 1.2. Put p, 0, -4 in descending order.\nAnswer: 0, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7587*c**2*d**3 - c**2*d + c*d**3 - 28*c*d - 38*d**3 wrt c.\nAnswer: 15174*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4449124 divided by 25867.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-10) + 48829\/965. Calculate the greatest common factor of i and 21609.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*o**3 + 16*o + 7*o**2 + 18*o - 222*o**3 - 41*o - 7*o**2.\nAnswer: 13*o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 = 4*j + 359. Let a be (-465)\/j*(96\/20 + -4). What is the greatest common factor of 403 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a gram in milligrams?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -8 + 2 + 58\/11. Let y be 8\/33*(-3)\/(-2). Suppose -y*n**2 - z*n - 4\/11 + 6\/11*n**3 = 0. What is n?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 663*s**2 + s + 39. Does 66 divide q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39966120 divided by 2280?\nAnswer: 17529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*r - 2*r. Suppose -r*q + 5*q - 36 = 0. Suppose -3*v = -33 - q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1572*15541\nAnswer: -24430452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*g + 2*g**2 - 72*g to z*g + q*g**2 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263 less than 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19264 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 5*k + 3*r - 104, -3*k - r = -42. Suppose 17*v - 42 = 11*v. Let h be (20 + 2 - 4)*v. Calculate the highest common factor of k and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*u, 0 = -1671*q + 1675*q - 4*u - 156 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 - 67847634*j**2 + 101436344*j wrt j?\nAnswer: 12*j**2 - 135695268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9398 and 277?\nAnswer: -2603246","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + f**2 + 7*f. Let h be v(3). Let w be ((-10)\/(-8))\/(28\/(-16) + 2). What is the third derivative of -5*a**2 + 3 + 50*a**w - 31*a**5 - h wrt a?\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/15 + 3\/(-5). Let d be -4*h\/2 + -5. Let b = 0 - d. What is the smallest common multiple of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 7. Let g(h) = -6*h + 8. Let x(v) = 6*g(v) + 7*y(v). Let p(f) = -2*f - 5. Give p(w) - 3*x(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -13.5. Let k be (7\/(-21))\/((15\/(-3))\/(-10)). Sort -4, r, 2\/45, k in ascending order.\nAnswer: -4, k, 2\/45, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3073, 2, -33 in descending order.\nAnswer: 2, -33, -3073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 21325\/11 and 1938 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**3\/6 + 3*u**2 - 4*u. Give m(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dranees. What is prob of picking 1 s, 1 e, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 - 39. Suppose v = -3*k + 67 - 34. Let u = 1 - -19. Calculate the remainder when u is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -7*w + 90. Suppose 3*h - w = -h + 2*f, 2*h + 2*f = 6. Suppose 3*y - 69 = -3*p, -p - h + 3 = -5*y. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12993 and 2196?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*h - 7*h. Solve -5*k + 5*t = -30, -h*k + 3*t - 7 + 31 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6835*j. Let h(u) = 10*u. Give n(h(r)).\nAnswer: 68350*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b + 4*b**2 - 6*b**2 + 2*b**2 + 6*b**3 wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 10*a = 6*a + 36, 2*a = -79*r + 423 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1361645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0*r + v = 12, -2*v = -r - 6. List the prime factors of (r - 15\/9)\/(4\/192).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 6, -3, 2, 1, 180.\nAnswer: -3, 1, 2, 6, 19, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -163\nAnswer: 163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = 4*u + 179, q - 45 = u. Let i = 113 - u. Let p = -107 + i. Calculate the remainder when p is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 12*d**3 - 303*d**2 - 1224*d - 32. Calculate a(-4).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-24 + (12 - 11)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3269 and 6377.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 20 (b) -3 (c) 0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9042 - 4088*z**2 - z**3 + 4*z**3 + 4088*z**2 + 9042.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 161\/553887 >= -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 202 and 3259841458.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3732.911s?\nAnswer: 3732911000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1010011101000010010011001?\nAnswer: 1010011101000010010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2351?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m + 12 = 17*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 4a6?\nAnswer: -4a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 1 + 7 = p, -4*p - 2*u = -54. Suppose 0 = -2*m - 0*m - t + 6, -m - 3*t = 2. Calculate the remainder when p is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 1. What is the remainder when 2*(-27)\/(-2) - 1 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1706, 4676, -4, 5 in descending order.\nAnswer: 4676, 5, -4, -1706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/8*13*6. Let s be (f\/26)\/(6\/(-128)). Suppose 5*t = 3*t + s. What is the lowest common multiple of t and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**3 + 1\/60*l**5 + 0*l - 1\/225*l**6 + 0 + 3*l**2 - 1\/60*l**4. Let k(r) be the first derivative of t(r). Factor k(g).\nAnswer: -2*(g - 1)*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 2*x - 1. Let t be m(-2). Let n(p) = 6 + p - 7*p - p**2 + 2*p**2 + 4. What are the prime factors of n(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -79, -98?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3992 and -29894771.6.\nAnswer: -29890779.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(264)\/sqrt(6) + sqrt(44)))*-2)\/(4*3*sqrt(4)) - (-2 + (5*(sqrt(11) + sqrt(22)\/sqrt(2))**2 - (sqrt(11) + -1)**2*4)).\nAnswer: -170 - 47*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/162 and -143\/72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-938)\/(-468) + (-141)\/(-1269) and (-4326)\/180 + (-1)\/(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -49158929.6?\nAnswer: -49158932.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -20*o**2 + 15*o + 71*o**2 - 9 - 7*o. Let f be d(-8). Let u = f - 1122. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16049 + 0.1566374. Round i to 4 decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.09 and 0.4.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 8. Suppose -3*b + 1 = -j - 4, -3 = -2*b + j. Let c be (3 - 27\/b)\/(-6). Put t, -1\/2, c in decreasing order.\nAnswer: t, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q - 3, 5*n - q = 28. Suppose d - s = 5*d + 1, -5*s = n*d + 20. What is the highest common factor of d and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 9 (c) 221.87382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -113005\/6 (b) 4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4959\/5510)\/(6\/(-200))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -5, 3, 60, 4\/31, -0.072?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131220 - 3030012?\nAnswer: -10221232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 1, 0.02, 5, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 450594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -14836?\nAnswer: -14836.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 36\/7, 1\/24 in ascending order.\nAnswer: 1\/24, 4, 36\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 14156, -19, 1\/3 in ascending order.\nAnswer: -19, 1\/3, 14156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112622 is divided by 5919.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 2*b - 0*d, -4*b = -5*d - 22. Solve 11 = -b*v - 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 11*a + 24 = 0. Suppose -3*j - a = -4*l, -5*j + 5*l - 15 = -5. List the prime factors of j\/(-7) + (-5 - 1)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 136*m**2. Let y(s) = 3*s. Determine y(v(q)).\nAnswer: 408*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11177 is divided by 2788.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87168 divided by 7264.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 590 - 588. What is the first derivative of -162 + 71 - 5*s**m - 6*s**2 - 80 wrt s?\nAnswer: -22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2917.\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6150 and 16.\nAnswer: -98400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006368279 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**5\/10 + 685*r**4\/12 + 2453*r**3\/6 - 988*r. What is the second derivative of l(f) wrt f?\nAnswer: 12*f + 1370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2144211 (base 6) in base 2?\nAnswer: 11010001011001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 16*q - 27. Let k = -147 - -152. Let n be v(k). Let b(j) = -j**2 + j + 4. What is b(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*i**3 + 200 + 159 - 402 wrt i?\nAnswer: -117*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -0.09 (c) 0 (d) -7\/6 (e) -2 (f) -3 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42558 by 519.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x + 5. Let d be s(0). Suppose d = 4*f + 5*a, 4*a = -2*f + 1 + 3. Solve -l + 4*l + 3*c + 6 = 0, f = -3*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e1 + -5?\nAnswer: -e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 15 = 5*z. Let b(i) = -i**3 + 10*i**2 + 10*i + 11. Let c be b(11). Let m = c + z. Solve 0 = -m*w - 2 - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 4*u - 3*d, 5*u = -3*d + 18. Suppose 2*o - 700 = -u*o. Let k = o + 22. Does 27 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 32520 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (158 + 16*r - 158)*(-340*r - 332*r + 221*r) to the form h*r + j + m*r**2 and give m.\nAnswer: -7216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13918215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 + 51\/2*v**2 - 31\/2*v**3 - 1\/2*v**5 - 20*v + 9\/2*v**4 = 0. What is v?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/14 + (-4)\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2245484798564889 and 0.4.\nAnswer: -2245484798564888.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21676 (base 9) to base 11\nAnswer: -a907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 5*p**2 + 52 + 5.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 0*v**2 - 3 + 0*v**3 + 4*v + 3\/5*v**5 + 0*v**4. Differentiate w(j) with respect to j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 98*k**2 + 83*k - 8083. Calculate h(98).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 3461\/527?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 33. Suppose -3*v + v = c - 8, -5*c + 5*v + 10 = 0. Solve n = c*j + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 0*w + 91\/2*w**3 + 3*w**2 - 53\/12*w**4 - 13. What is the derivative of g(q) wrt q?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 16*z + 19. Let f be a(15). Suppose 4 = w, -3*w = -3*v - v - f. Suppose -v*c + 17 = -19. What is the smallest common multiple of c and 46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1648, -3313, -4960, -6583, -8176, -9733, -11248, -12715?\nAnswer: -14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3305*r**2 - 690*r. Let g(b) = -1649*b**2 + 344*b. Let d(s) = -13*g(s) - 6*x(s). What is the second derivative of d(n) wrt n?\nAnswer: 3214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m - 105. Let q be d(-17). Let n(r) = -32*r**3 + 3*r**2 + 5*r + 3. Is n(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91355901?\nAnswer: 3, 7, 13, 334637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**3 - 3*b - 6*b**3 + 12*b**3 + 2*b + 18 in the form z*b**2 + q*b**3 + k + m*b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)*c)\/c*c)**(19\/6)*(c*c*c*c*c**8)\/(c\/(c*c**(-6\/7))) assuming c is positive.\nAnswer: c**(2537\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8375 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.793 and 0.2.\nAnswer: 0.7586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 85. What are the prime factors of 277\/5 + 20\/s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -d**7\/420 - 47*d**6\/80 - 413*d**5\/120 + 47*d**4\/16 + 69*d**3\/2 + 4*d**2 - 556. Suppose h(m) = 0. Calculate m.\nAnswer: -138, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 15}. What is prob of sequence cccc?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + ((-15)\/(-3) - (-1 - -1)). What is the third biggest value in 2\/13, 0.4, o, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*i*q**2*y + 105*i*q + i*r*y + 3*i*r + 10570*q**2*r - 2*q**2*y - r*y + 3*r + 3 wrt r.\nAnswer: i*y + 3*i + 10570*q**2 - y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + m + 20 = 0, 3*f + m = -4*m + 40. Suppose -f*c + 26 = -19. Which is greater: c or 43\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 5 + 0 + -4.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -121? (a) 7.5 (b) -2\/3 (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 847269639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -40*b**3 - b**2 + 2*b - 2. Let f(u) = u**3 - u**2 + u - 1. Determine -2*f(w) + h(w).\nAnswer: -42*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 924. Let a(o) = -44*o**2 + 17 - 11 - 6 + 43*o**2. Give a(m(y)).\nAnswer: -y**2 - 1848*y - 853776","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2 - 2) + 14\/4. Let l = g - -4. Let i(d) = -d**2 + 9*d - 15. Let k be i(l). Solve -4*h + h = -5*w + 19, 0 = -h + k*w - 9 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 795 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-14)\/(-3). Suppose -75*n + 63*n + 60 = 0. What is the nearest to 27\/4 in n, 0, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)*i**(-7) assuming i is positive.\nAnswer: i**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 271 = 5*p, 0 = 2*k + 2*p + 3*p + 189. What is the tens digit of 1\/(2 + 162\/k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -850*t + 216. Let s(m) = 283*m - 81. Let i(q) = -3*j(q) - 8*s(q). Let d(x) = -x**2. What is i(d(p))?\nAnswer: -286*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 + 0 = 0. Let j(t) = t**2 - t - 4. Let g be j(5). Suppose 2*y + 16 = -0*u - 3*u, 2*y - g = 5*u. Are l and y unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 3196640*w - 159842000.\nAnswer: 4*(w - 50)*(w + 799210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 2. Let j(n) = 4*n + 2327. Determine -j(m) + 3*p(m).\nAnswer: -m - 2321","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44662791.6 minutes in weeks?\nAnswer: 4430.8325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bd67 (base 14) in base 5?\nAnswer: 14214241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28295 - -35264. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (102\/(-15))\/(295\/(-150) - -2). Let d = -131 - p. Put d, 3, -1 in descending order.\nAnswer: d, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 2*sqrt(5)) + -2 - (-6*sqrt(5)*1)**2) + (-5*(sqrt(245) + 1 + 0))**2.\nAnswer: 349*sqrt(5) + 5968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*g = 312 + 58 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4699, 9616, 14533, 19450?\n\"Answer: 4917*d - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4757 - -4820. Calculate the remainder when 230 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 8*z + 2 = -n, 2*z + 6 = -3*n. Solve z = -4*w + 4*v + 20, -w = -5*w + 3*v + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 9*r + 75 = 0. Suppose -5*v = -3*i - r + 3, 0 = 2*i - 3*v + 14. Let n = 3 - 26. Sort -3, n, i in descending order.\nAnswer: -3, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, o: 8}. What is prob of sequence nonn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 1\/3 (c) 8 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 67. What is the smallest common multiple of 18 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-42))\/((-2)\/768). Let p = h + -146. What is the closest to -1\/4 in p, 0.5, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31\/(-372))\/((-1)\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -8. Let z be 2\/24*28 + 99\/27. Let x = 17 - -4. Solve -5*f + z = 2*j, 5*j - x = -2*f - m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -211, -213, -215, -217, -219, -221?\n\"Answer: -2*h - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - 54 - (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-17) + (2 - 2296\/(-136)). Let n(b) = 76*b**2 - 66*b**2 - j*b + 19*b. Let k(s) = 26*s. Give n(k(t)).\nAnswer: 6760*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**2 + 20*d + 3. Let z be k(5). Which is the closest to -24? (a) 0.2 (b) 1\/6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 0.04?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*d - 7*d. Suppose -w - 4*w + 40 = -2*x, -3*w + d = x. Let m(h) = h**2 - 5*h - 3. Is m(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -25. Suppose -k = -w*k - 5. Let o(b) = b**2 + 5*b - 4. What is o(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = -3*u + 184891 - 73184. What is the remainder when u is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + 3*d)*(-d**3 + 0*d + 0*d + (3 - 3 - d**3)*(1 - 3 + 1) + 2 + d**3 - 2 - 39*d**3 - 6602*d**2 + 6602*d**2).\nAnswer: -152*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -644 = -119*w + 903. Solve -68*h = w*h + 324 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(275))**2 + (sqrt(132)\/(-2*sqrt(972)))**2.\nAnswer: 1069211\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r + 2*f = 32*r + 3062, 3067 = 2*r + f. What is the smallest common multiple of 56 and r?\nAnswer: 10752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3) + ((-112)\/(-66))\/2. Put -0.3, b, -4, 0.5 in descending order.\nAnswer: 0.5, b, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 6:22 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-1 - -2)*-4. Suppose -16*j - 20 = -20*j. Calculate the smallest common multiple of j and (3 + r)*-11 - 2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12\/7*v**2 + 376\/7*v + 124\/7.\nAnswer: 4*(v + 31)*(3*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5\/2)\/(6\/12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7*n + 18*n = 5*n + 56, -3*n = -5*v + 92 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -40*4\/(-8) + 2. What is the greatest common factor of g and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 + -27 + -69 + (1 - -12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95023 less than 0.2?\nAnswer: 95023.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -124 + 174. Suppose -h + 78 = 4*d. Solve -3*t = -4*j - d - 0, -4*j + 4*t - 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 89 - ((-17 - 3) + 36).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)*s**(-5\/3)\/s*(s**1)**(-29)*(s**(1\/5)\/(s\/((s*s**(-2\/3))\/s)))**(7\/6) assuming s is positive.\nAnswer: s**(-1547\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-10)*9940\/(-4544) - 16?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 225*p. Let t be x(-1). Let i be t\/(-60)*(5 + -1). Suppose -3*z = 2*z - i. Solve 0 = 2*u + z - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20060050.5 hours?\nAnswer: 119405.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 4*s - 5*s)*(-1 + 1 - s) + 174875 - 174875 + 154*s**2.\nAnswer: 150*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -19. Suppose -3*k = a + 11, -4*k + 25 = -9*k - q*a. Let b(r) = -4*r + 4*r - 2*r + r. What is b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 13, h: 6}. Give prob of picking 4 h.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/84)\/(3\/(-54))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/6105*3443 + -21?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxy. Give prob of picking 1 x and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/(-6))\/(14\/(-21)). Let o(k) = 1 - 3*k**2 + 7*k + 0*k**2 + 2 + 2*k**x. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12816 - -13065. What is the third smallest value in s, -2, 0.4, -4\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 <= 6560\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.131 rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-2)*f)\/f*(f\/f**3)\/f)\/(f**1*f)**(-43))**11)**(-12\/5) assuming f is positive.\nAnswer: f**(-10692\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 81 = y + 809, -3*y = 2*n - 356. What is the remainder when n is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-24)\/(-16)*(237 + -1). Calculate the greatest common factor of 297 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 3*x - 72, 104*x - 109*x - 2*o + 33 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18582 - 241560\/13. Let v = 0.6 + -3.6. Let s = 0.8 + -0.3. Put z, v, s in increasing order.\nAnswer: v, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(99)*-3 + (sqrt(1100)*-5)**2.\nAnswer: -8*sqrt(11) + 27500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4639351 (base 10) to base 12\nAnswer: 1678987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**8\/168 - x**7\/105 + x**6\/30 - 66*x**2 + 2. Factor k(w).\nAnswer: -2*w**3*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4476 divided by -4476.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywwwwbwwjiwwbwwijq. Give prob of picking 1 w, 1 b, and 1 q.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3545.9 and 1.\nAnswer: -3545.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10965 + -2324. What are the prime factors of w?\nAnswer: 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1900 divide 3961500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. Let u be (144 - (-2 + 4))\/z. Let w = -51 + u. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a - 2*a = 14*a + 180 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 180.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 60\/(-21) + 3\/(-21). Put 1, s, 5 in ascending order.\nAnswer: s, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 - 8 = -2*l. Suppose -2*s = -3*s + l. Calculate the remainder when 1*(12*4 - 2) is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2. Let n(u) = 6221*u + 5 + 0 - 2 - 6222*u. Calculate 3*n(k) + 5*t(k).\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 331338 rounded to the nearest one thousand?\nAnswer: 331000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {c: 3, o: 1, e: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 5*k, 13 = 5*k + n - 2*n. Suppose -w + 136 = 3*y, -4*y - 47 = -5*y - k*w. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/20 and 51\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {n: 2, f: 4, y: 1, q: 3, v: 2, u: 3}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 235609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g**2. Let c = 81 + -53. Let t(v) = -23*v - 2*v + c*v. What is x(t(p))?\nAnswer: -54*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5197\/18116 - -3\/2588. Sort -0.18, q, 1\/6, 1\/2, -0.2 in decreasing order.\nAnswer: 1\/2, 1\/6, -0.18, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/2099 - -77645\/18891. Let d be (0 - 3)*(-1086)\/(-288). Let m = 17\/16 - d. Calculate the common denominator of x and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.8 less than -1840379979?\nAnswer: -1840380097.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -238527.\nAnswer: -2\/238527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3) + -11 + 3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/2180 and 91\/872.\nAnswer: 4360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = f - 31. Calculate the remainder when f is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82*r**5 - 28*r - 157*r**5 + 77*r**5 + 11*r**3 wrt r.\nAnswer: 40*r**3 + 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-2 + (3 - 8) + 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and 1061219.\nAnswer: 1061218.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181 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 f = 2733 + -117489\/43. Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6028088, 6028085, 6028082?\nAnswer: 6028079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*a**2 - 2\/13 + 4\/13*a = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.15473 centimeters in nanometers?\nAnswer: 411547300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**4 + o**4 - 3*o**4)*(-2*o + o + 2*o) + o**5 + 5*o**5 - o**5.\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -5*a**4\/2 + 1215*a**3\/2 - 4105*a**2 - 5940*a + 9440 = 0.\nAnswer: -2, 1, 8, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -105 (b) 50 (c) -2 (d) -0.01 (e) -5 (f) -147\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/3)*t)\/t)\/t)**(1\/72))**(4\/3) assuming t is positive.\nAnswer: t**(-5\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 11*j**2 + 6*j**2 - 2*j + 0*j**2 to d*j + w + k*j**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1138*g + 1138*g + 13*g**2.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -0.06\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -31*v**6\/60 - 59*v**4\/4 - 3*v**2 + 17*v. What is the second derivative of g(c) wrt c?\nAnswer: -372*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-11))\/((-2)\/36). Suppose -9 = 3*q - k. What is the lowest common multiple of 14 and q\/(-12)*(-18 - -2)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2889533 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.8 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -950.12332.\nAnswer: -2850.36996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -10 - (8 + -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1677*t + 15571 + 17969 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/2968 and (0 - (-138)\/(-40)) + 16*30\/(-960).\nAnswer: 14840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 16*p**2 - 13*p - 19. Let y be b(15). Let r = 5 - -30. Suppose 3*c - 8*c + r = 0. Solve -v + s = 3*s - y, v + s = c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3106218 and -89\/53904.\nAnswer: 24849744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 928 - 228. Calculate the common denominator of 1 + (470\/(-45) - -10) and (u\/(-16))\/7 - -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 m when three letters picked without replacement from hmhhmhm.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.020527 months to centuries.\nAnswer: 0.0116837725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(11\/7))**(-3\/20)*r**(-18)\/(r\/r**(-15)*r) assuming r is positive.\nAnswer: r**(-4933\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 11:46 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - p + 10 = 0, 5*f - 12 = 2*p - 34 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 + -211\/2. Factor -1\/4*f**3 + m*f**2 + 0 + 0*f.\nAnswer: -f**2*(f - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*(-1)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 370210188, 740420377, 1110630566?\nAnswer: 1480840755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p - 4. Let w be a(-5). Let d = 8 + -8. Suppose c - 6 - 3 = d. Calculate the highest common factor of c and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8851.903 centuries to months.\nAnswer: 10622283.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 8*v - 63. Let z be o(9). Suppose -3*f + z = -2*i, -19 = -0*i + 2*i - 5*f. Solve 4*m + 10 = -j, -i*m = -2*j - 0*m + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 1. Let n(v) = 1 - 24*v + 2*v - 4 + 25*v. Calculate -i(r) + n(r).\nAnswer: 3*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*a - 3320442 = -3320301 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 100\/3, 1.1 in increasing order.\nAnswer: 0.1, 1.1, 100\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.062544 + -285.007456. Let m = -285 - i. What is the closest to 0.2 in -0.3, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45081 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 + 15.12. Let m = -14.489 + t. What is m rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 345, -16, -4 in increasing order.\nAnswer: -16, -4, 345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iii when three letters picked without replacement from ccccciccccccccciiccc?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 0.512994.\nAnswer: -2.051976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + (34 - 5) + -1 + 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 768\/7 - 110. What is the closest to p in -0.2, 1\/6, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03699 + -0.02699. Which is the nearest to q? (a) 17 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6203.2421 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 19.2 - 16.3. Which is the second smallest value? (a) 3 (b) y (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 4:12 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/105 and 34\/27.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*2*sqrt(99) - sqrt(99)) + sqrt(99))\/(2*sqrt(1296) - sqrt(9)).\nAnswer: 2*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 840 - 822. Solve -24 = 2*x - d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 8*a - 106 = 0, -5*a - 12 = 8. Calculate the least common multiple of 414 and r.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u. Let q(a) = -a**2 + 11*a - 5. Let n be q(6). Suppose 5*b - 5 = n. Let t(c) = -11*c**2 + b*c**2 - 5*c**2. Give t(w(v)).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9716137 is divided by 621?\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 2:05 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56963 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7*f - 10 + (-3 + 3 + f)*(2 - 3 + 0))*(f + f - f) - 34*f**2 + 22*f + 2*f**2 - 24*f.\nAnswer: -40*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4951000 rounded to the nearest 100000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 718 + -379. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.59 + 1154600\nAnswer: 1154634.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 2. Let n(l) = -3*l + 5. Let b(m) = 2*n(m) - 5*y(m). Let r(f) = 7*f - 4. Let t(w) = -117*w + 66. Let p(i) = -99*r(i) - 6*t(i). Give p(b(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u - 3*u)*(-621*u + 621*u - 119*u**2) - 10*u**3 + 6*u**3 - 5 + 3.\nAnswer: 234*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - o - 13*o + 2. Let k be m(5). Let q = k - -147. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14880274 is divided by 14880273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 12*i**2 + 11*i + 2. Let b be m(11). Let q(u) = u**3 - 2*u. Let x be q(b). Let c = x - 0. Solve c*g - 3*g - 4 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 15*q + 7*q + 16 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 145?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-9))\/(24\/9)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -22*q + 2688. Calculate the remainder when q is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/3787 or 1409?\nAnswer: 22\/3787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z + 9. Let g(b) = 3*b - 56. Let t(c) = g(c) + 4*u(c). Calculate t(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 8*p + 9. Let c(m) = -m**3 + 5*m**2 + 8*m - 5. Let b be c(6). Suppose -b*o = -2*o - 170. Calculate the remainder when o is divided by d(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4793123 * 29\nAnswer: -139000567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 639 divide 2628207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2\/9 + 206948*r\/9 + 5353434338\/9 = 0.\nAnswer: -51737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (41\/82)\/((2\/(-1))\/(-8)). Let f(y) = y - 3. Let a(v) = -2*v + 7. Let i(o) = n*a(o) + 5*f(o). Calculate i(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10697?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177, 340, 487, 612, 709, 772?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 12*i + 59. Let n be b(-9). Solve -n*u - 5 = -10*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -528071, -1051937, -1575805, -2099675?\nAnswer: -2623547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xkwkwpkkppp. Give prob of picking 1 p and 1 w.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3 - 68*s**2 + 64*s = 0.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3 + 3*s**2\/2 + 6*s - 6. Factor m(q).\nAnswer: -3*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45557 + 2733233\/60. Find the common denominator of -79\/33 and b.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22482*s**4 - 119505*s**2 wrt s?\nAnswer: 539568*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y + 113 = -124. Let 0*d**2 + 0*d + 1\/3*d**y + 0 = 0. Calculate d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 15. What is the units digit of l(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162418 by -402.\nAnswer: 81209\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**7\/14 + s**4\/3 + 4*s. Find the third derivative of i(l) wrt l.\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 10:49 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = -2*c, -26 - 4 = -3*c + 5*m. Let a(f) = -f**3 + 5*f**2 + 4. Let r be a(c). Solve k = 3 - r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-130) - (-198)\/20 - 1. Solve -3*z + 5*w + m = -4, -5*z + 3*w + 11 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*f**2 - 26*f**2 + 34*f - 1 - 5 + 6 - 2 to c + g*f**2 + h*f and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22498 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 2*r + 15. Let z be k(-7). Let b = 7351 + -7350. What is the nearest to b in -3, z, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, 25, 47 in descending order.\nAnswer: 47, 25, 4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 405 and 2655.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 4*k + 181 + 95 = 0, -f - 4*k = -68. Let u = -37 + f. Suppose 5*n = -0*n + u. Solve -3*g + 9 = -n*v + 4*v, 2*v = 4*g - 12 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -2\/7*p**2 - 13 - 1\/42*p**4 + 5*p - 1\/7*p**3. Let a(f) be the first derivative of b(f). Factor a(n).\nAnswer: -2*(n + 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010389029307 rounded to 5 dps?\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - ((-3 - -2) + 3). Does 5 divide (23\/2)\/(s\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**3 + 3*r**2 - 2*r - 1. Let k be i(2). Let u(c) = 23 - 4*c - k. Let s(p) be the second derivative of -2*p**3\/3 - 6136*p. What is u(s(n))?\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2\/4789, 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - (1 + 9\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 4*k**2 + 5*k. Let q be b(4). Let g(y) be the third derivative of y**6\/120 - 19*y**5\/60 - 2*y**4\/3 - 161*y**2. List the prime factors of g(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 13*p**2 + 50*p - 9. Let x be k(3). Suppose 2*b - 111 = 171. Suppose 0 = -3*s + x + b. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -230 + 5. Let x = i + 365. Calculate the greatest common factor of 20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7781925555 + -2.7782. Round b to 7 dps.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6*((-2595)\/692)\/((-7)\/((-14)\/5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*g + 39. Let a = g + 94. Calculate the highest common factor of a and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 271*u**2 + 244 wrt u?\nAnswer: 542*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10 - (15 + -21)) + 0 + -7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/10)\/y**(-27) assuming y is positive.\nAnswer: y**(267\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d + 12 = -31*d + 4*c, 4*d + c = 3. Solve d*k = 9*k - 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 less than -101.6?\nAnswer: -101.633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 2, o: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 616, 262, -116, -530, -992?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8683463 millilitres to litres.\nAnswer: 0.0008683463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 - ((-150)\/(-40))\/((-6)\/96*-133 - 8).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -744252 (base 9) to base 16\nAnswer: -6c158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (640\/(-18))\/5 + 6. Suppose -3*a + 0*o + 10 = o, 3*o = 5*a - 40. Let s = 5 - a. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4*u + 5 = 0, -4*u + 16 - 1 = t. Suppose 5*n - 9 = 2*b + 2, -b = 4*n - 1. Sort n, -1, t in increasing order.\nAnswer: t, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/196)\/(76401\/589659) + 0 + 2\/13.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 14. What is the second smallest value in 2, 9, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56258632 divided by -14064658?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002415 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 170723\/11 - 1\/11*v**4 - 80\/11*v**3 - 174*v**2 - 6728\/11*v = 0. What is v?\nAnswer: -29, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 10:52 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 4 - (-24 - -15). Differentiate -n*w + 3*w + 12 - 3*w**2 + 2*w with respect to w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2052, -2054, -2058, -2064, -2072, -2082, -2094?\nAnswer: -2108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**3 - 7*x - 3. Let h(u) = 13*u**3 - 15*u - 7. Let s(a) = 3*h(a) - 7*v(a). What is the second derivative of s(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009 a factor of 214685758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k + 2037*k**2 + 3 + k**3 - 2 - 2032*k**2 + 1. Let u = -406 + 402. Determine j(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -125, -127?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161856 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5 = -4*y, 8*y - 10 = 3*c + 3*y. Suppose 2*d + 2*t - 21 = -3*t, -4*d + c*t - 33 = 0. What is the units digit of (-216)\/(-16) + d\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 9*l**2 + 20*l + 2. Calculate g(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -884, -881, -878?\n\"Answer: 3*r - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v + 913 = 4*v + 393 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -141, -104, -43, 42, 151, 284, 441?\n\"Answer: 12*h**2 + h - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26821800 by 90.\nAnswer: -298020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvpptvzkvpvkvkvvvvz. Give prob of picking 1 t and 2 z.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 936504041?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 8*i**2 - 3*i. Let o(q) = q**3 + 4*q**2 - 2*q. Let p(r) = -4*d(r) + 7*o(r). Let j be p(-4). Put j, -2, 2 in decreasing order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, y: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 1. What is w(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11)*c*c**28\/c*c)**(44\/5) assuming c is positive.\nAnswer: c**(1272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1041\/(-15) - (-11674)\/(-4490).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - ((6 - 3) + 7)) + 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -814715 or -814709?\nAnswer: -814715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + -76. Let f be 1624\/g - 1\/(-2). Let r = -32 - f. What are the prime factors of r?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -9. What is the second biggest value in 0, x, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-103 + 47 - 143 - 8)*(10*h**4 + 203*h - 203*h) as q + x*h**3 + k*h**4 + m*h + v*h**2 and give k.\nAnswer: -2070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8 and -56\/45837543?\nAnswer: 366700344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -77*z + 424. Let n be j(5). Suppose -2*x = 4*c - 494, 2*x + 500 = 4*c - 2*x. Let i = c - n. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r + 1. Let z(t) = t. Suppose 8*c - 29 - 27 = 0. What is c*z(w) - 3*v(w)?\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298\/55 + -1138\/275. What is the common denominator of v and 13\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7337858 a multiple of 218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -1156\/3 - 1\/3*f**2 - 68\/3*f = 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/135450 and -149\/135450.\nAnswer: 135450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -296, 218, 1070, 2254, 3764, 5594, 7738?\n\"Answer: -x**3 + 175*x**2 - 4*x - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/26866 and 63\/16.\nAnswer: 214928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10, 0 = b - 3*g - 0*g + 40. Let u = b + 71. Let o be 15\/u - 2\/(-30). Which is smaller: 1\/5 or o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12132032 - 1?\nAnswer: 12132031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-8) + -6 - (-2)\/(-8). Let u be 67 - (n\/1 - -2). Suppose -3*t - u = -336. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*j - 17. Is (8643\/12 - j) + 2\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 - 5\/6*f**3 + 2*f + 1\/3*f**4 + 0*f**2. What is the second derivative of k(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**2 - 2*v**5 + 4*v**2 - 6*v**5 wrt v?\nAnswer: -480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i*n**3*u**2 + 24*i*n**3*u - 473000*i*n**2*u**2 + 16920*i*n wrt u?\nAnswer: -2*i*n**3 - 946000*i*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 9*q + 1. Let v be h(-5). Suppose -6*a + v*a**2 + 3*a**2 + 7*a**3 - 4 - 6*a = 0. Calculate a.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*a**2 - 6*a**2 + 1.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - n. Let j = 1 - -1. Let y(p) = p + 2*p**2 - p**j + p. Let u(d) = 5*v(d) + 2*y(d). Find the second derivative of u(x) wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8002*t - 8551. Determine d(1).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 2 (c) -0.214 (d) -1\/503 (e) 0.1 (f) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18632 or 11465?\nAnswer: 18632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2754760 divided by 1377380.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2*(0 - 1). Let q be (5 - 2)\/(21\/14). Solve 4*h - x + 12 = 0, -q*h + v = -3*h - 3*x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*q + 201 = 160, 5*s - 3*q + 29 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2467, 4920, 7375, 9832, 12291, 14752, 17215?\nAnswer: 19680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95645779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/9 - 260*o**4\/3 + 48718*o**3\/9 + 5671004*o**2\/9 + 1851136*o + 11038720\/9 = 0. Calculate o.\nAnswer: -55, -2, -1, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c - 112*c + 500 = -238*c - 2*j, 0 = 4*c - 5*j + 144 for c.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by 32091.\nAnswer: -62\/10697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144 + -253. Let v = -109.00000643 - b. What is v rounded to seven decimal places?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -109*n + 1307. Let q be i(12). Which is the closest to -1? (a) 3\/2 (b) q (c) 3 (d) 20\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 600*z + 10801. Give j(-18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123662067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -149*f - 2. Let o(n) = -240*n. Calculate o(t(y)).\nAnswer: 35760*y + 480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387998 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1440.12mm?\nAnswer: 0.00144012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-5 + sqrt(605) + -2*sqrt(605)))**2 + -3 + (0 + (sqrt(245) - (sqrt(245) - (0 + sqrt(245)))))**2.\nAnswer: 110*sqrt(5) + 872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v + 4. Let b(f) = 47*f + 7. Give -6*b(g) + 13*i(g).\nAnswer: 4*g + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from oodp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -406, -598, -784, -964?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/(-224))\/(5\/40). Let i = 6\/11 - 7\/33. What is the closest to i in u, -1\/2, -3\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*b + 210 - 208 + 1106*b + 331*b)*((-2*b - 4*b + 3*b)*(2*b + 3 - 3) - 2*b**2 + 4*b - 4*b).\nAnswer: -10784*b**3 - 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c - aa5535?\nAnswer: -aa5519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 8. Let l be -7 - ((-2)\/(-1) - 3). Let d(v) be the second derivative of -5*v**3\/6 + 9*v**2\/2 - 5*v + 3. Give l*o(q) + 5*d(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33513860 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1330, 2674, 4032, 5410, 6814, 8250?\n\"Answer: j**3 + j**2 + 1334*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 285*m + 4559. What is c(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/35 + 16\/315. Let x = -5\/36 + 127\/396. Put -0.4, x, p, 0.5 in ascending order.\nAnswer: -0.4, x, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 1. Let p(s) = s - 3. Let g(l) = 5*h(l) + p(l). Let c(u) = -3*u + 1. Let w(i) = -3*c(i) + 2*g(i). Suppose -14*q + 9*q = 15. Calculate w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -217 and -218 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1210 and 111\/440.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-5) - 32\/(-15). Suppose 2*r - 1 = -3. Let s = r + t. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.89 - 0.11. Let n = -1.5 + 1. Put n, 0.5, v in descending order.\nAnswer: 0.5, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(6) - (sqrt(6) - sqrt(24)\/sqrt(4)))\/sqrt(3) + sqrt(8)\/sqrt(4)*-1*-2.\nAnswer: -5 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22678091 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/10)\/(4\/(-10)). Let n be 2 - (-13 - -1 - -1). Let p = a - n. Which is greater: p or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - 0) + 46 + (-141 - -176)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 6 - 1)*(-3 + 1 + 3) + 1 + 3 + 1 - 1 + 6 - 3)*(3*a**3 - a**3 - a**2 + a**3) in the form u*a**2 + d*a + c + s*a**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.4249 rounded to zero decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0648 + 0.1648. Let g be ((-4)\/48)\/(2\/9). What is the nearest to i in g, 2\/3, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**4\/6 - h**2. Let o(j) be the first derivative of -2*j**3\/3 - 110. Determine c(o(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -558 (b) 3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/13)*(c\/(c**(-12)\/c*c))\/c)\/(c**15\/c*c**(-1\/2)))**(7\/4) assuming c is positive.\nAnswer: c**(-35\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19.54 and -3.\nAnswer: 58.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 10.9, -234, 4, -12.\nAnswer: -234, -12, -4, 4, 10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -290*b - 4631. Calculate r(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3554500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 56, 5, -78, -193, -340, -519?\n\"Answer: -16*m**2 - 3*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 185*c**6 - 60*c**3 + 3*c**2 - 2*c + 2842?\nAnswer: 22200*c**3 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5749 - 6179 = 0. List the prime factors of d.\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832*o = -242*o + 765*o + 403*o - 184590 for o.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-525))\/((-23)\/(5175\/30)). Let k = -4 - -2. What is the closest to d in k, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 1:33 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:27 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 20*p - 530. Let n be m(32). Put 31, n, -4 in descending order.\nAnswer: n, 31, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-4)\/6)\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -364 + 4?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) + (-1470804)\/105894. Let k = v + 1\/1961. Calculate the common denominator of (-52)\/(-14)*(-9)\/(-18) - 2 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98772529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86413?\nAnswer: 86413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 5*r - 5*r)*(-5*r**2 + r**3 + 5*r**2 + (0*r**2 - 2*r**2 - r**2)*(0 - 2*r + 0)).\nAnswer: 14*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s - 6. Calculate h(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 0 + 77*l**2 + 0*l + 0*l**3 + 0*l**4 + 0*l**5 + 1\/280*l**6. What is a in y(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74437 - -86.\nAnswer: -74351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-1))\/((-2)\/(-143)) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -845, -1881, -3309, -5117, -7293?\nAnswer: -9825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -45a4a4 (base 15) to base 8\nAnswer: -14536765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5093228, -5093264, -5093300, -5093336?\n\"Answer: -36*l - 5093192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -265 - -746. Let t = b - 480. Let v = -0.2 - -0.3. What is the second biggest value in -2\/7, v, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(1*4))\/(85\/(-1360)). Solve -9*k = -b*k + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f576 - -20ec?\nAnswer: -1d48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 449*u**2 - 4*u - 4. Suppose -10*r - 14 = -4. Let p be (-1)\/(((-4)\/2 - r)*-1). Is q(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3154630847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 26107784 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcczzcczzzcc. What is prob of sequence zzz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*p - 0*p - 1, 2*p + 4*s = -2. Let t be -1 + 3 - (-1 - 3). Sort p, 3, t in ascending order.\nAnswer: p, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1091 divided by 6.\nAnswer: -1091\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 451*o + 2254\/5.\nAnswer: (o - 2254)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3219 = 216*s + 4038 - 3310 + 3829 for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(5*sqrt(2)))\/(sqrt(363)*-2).\nAnswer: -sqrt(19)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23116 is divided by 51.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 10 = t. What is the smallest value in t, -4\/5, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 3*w + 2. Let r be k(0). Suppose -h - 22 = -r*s, -3*s = -h + 2*h - 43. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2940 or -1478?\nAnswer: 2940","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19\/2 (b) 3 (c) 1 (d) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x**2 - 3*x + 1. Let b be 1*-3*2\/(-6). What is the smallest common multiple of o(b) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4204.36 - 4223. Round m to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v - 28. Let l be q(-7). Suppose -42 = -2*w + 4*s, 3*w + 13*s - 18*s - 59 = l. What is the remainder when 193 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(32) - sqrt(64)\/sqrt(2)) - (1*sqrt(2) + -5) - -4*(sqrt(100)\/sqrt(2) - sqrt(2)))*1)**2.\nAnswer: 160*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 377045 from -47.8.\nAnswer: -377092.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 126558.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -375*b**5 - 1025*b**4 + 685*b**3 + 1925*b**2 - 1210*b = 0.\nAnswer: -11\/5, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.21261 - 0.17261. Which is the closest to m? (a) 0.006 (b) -0.2 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -4\/3, -24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 41\/2 of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 4*s**2 - 3*s - 1. What is v(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(57)\/(-2*sqrt(3)) + 1 + sqrt(171) + 5 + -4)**2 + -3.\nAnswer: -4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3066)\/179361 - (-65268)\/(-1053)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 163*r - 27 + 1005 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u + u - 185 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2232 and 186.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 5:18 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**2 + 5*h**3 + 3*h**2 - 8*h**2 + 18*h**2 + 30*h**3.\nAnswer: 35*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 625777153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(665\/(-110) - -6). Solve 8*j = 2*h + l + 14, -2*j + 4 = 2*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 128\/20 - 6\/15. Let x(o) = 8*o + 5. Is x(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852802953.\nAnswer: 17, 29, 3758221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.4, 3, 5?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(121)*2)\/(-2*sqrt(275)).\nAnswer: 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**18\/t)*t\/t**(-9\/5)*(t**(-2\/5))**(-36) assuming t is positive.\nAnswer: t**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 9444813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56 + 7*n**4 + 56 + (7*n**2 - 8*n**2 - 8*n**2)*(n - 2*n**2 - n).\nAnswer: 25*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10763?\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*12*22\/(-33). Let w = a - -16. Let b be 2\/240 + 3\/w. What is the second biggest value in b, 2, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112704 and 120.\nAnswer: 563520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87471 is divided by 232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 - 3 + 6*k**3 + 2*k**3 + 3.\nAnswer: 10*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**5 + 9*h**5 + 12*h**5 + h**5 + 0*h**5 + 0*h**5 + (-3 + 3 + 2*h)*(5 + 2*h**4 - 5) + h**4 - h**4 - 2*h**5 + 2*h**5 - 4*h**5 + h**5.\nAnswer: 28*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (5 - 13) - -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upuu when four letters picked without replacement from puppupp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 5*j - 3. Let q be f(-3). Let t be (-1)\/((q - 0)\/(-6)). Factor 2\/3*p + 4\/3 - t*p**2.\nAnswer: -2*(p - 1)*(3*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3*-6*-2*sqrt(12)*-2)**2 - (5*((sqrt(12) + sqrt(48)\/sqrt(4))*4 - 6*(sqrt(12) + 1)))**2).\nAnswer: 4800*sqrt(3) + 240432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = c + 1006 - 998, -4*c = 7*z + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1049 and 10?\nAnswer: 10490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*z = 123*z - 20 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/120 + 11*c**5\/20 + 11*c**4\/4 + 24*c**3 - 56*c**2 + 2*c. Let h be u(35). Let k(l) = -l**2 + 5*l - 5. Calculate k(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - 45\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**2 - 9*g**2 + 27*g**2.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**2 + 16*i**2 - 2*i**3 + 6*i**2 - 26*i**2.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 102 + -91.4. Let k = -11 + a. Sort -5, 3, k in ascending order.\nAnswer: -5, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0544 + 44664.34.\nAnswer: 44664.2856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 131870700*m**3 - 18593755440*m**2 - 5608979*m\/3 - 47.\nAnswer: (m - 141)*(19890*m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 214, 416, 622, 832?\n\"Answer: 2*z**2 + 196*z + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*r**2 - 68*r**2 + 224*r**2 - 84*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -5 - (3 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 6*t**3 + 18*t**2 - 42*t + 10. What is the remainder when 1306 is divided by x(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 19 = -4*d - 91, 12 = -2*d. Let m be 0 + -1 - (-25)\/1. Is m at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.6 - 0.4. Let h = -56.0975 - 0.0025. Let u = h + 56. What is the third smallest value in m, 0.4, 1, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 48*a + 210, 2*w - 2*a + 9*a + 14 = 8*a for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891 divided by -105?\nAnswer: -1297\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/3 - ((-48)\/(-32))\/((-3)\/4902) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + 605 + -608\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*a = -0*a + 9, -t = 3*a + 13. Let k be t - (30\/(-2))\/3. Let q(f) = -f + 7. Let w be q(k). Solve -w*c - 20 = -8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1530656 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11.37239+0.8867\nAnswer: -10.48569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -331. Differentiate -z*g - 49 - 20 + 82*g - 337*g - 169 wrt g.\nAnswer: -302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -40 + 24\/13*n - 11\/13*n**2 - 2\/39*n**3. Factor q(g).\nAnswer: -2*(g - 1)*(g + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 5*n**2 - n**2 + ((0 - 1 - 1)*(-2 + 2 + 2*n) - 14*n - 25*n - 4*n + 0*n + n + 0*n)*(4*n + 5*n + 4*n).\nAnswer: -597*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 6 - (0 - -3). Let j(y) = y**2 + y + 14. What are the prime factors of j(m)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132363 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -8 (b) 785 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 736254?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 837 - 899. Suppose r = -25 - 37. Let d = r - q. Solve d*s = 3*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 2*f**2 - 10)*(3*f**2 - 17 + 17)*(0 - 4 + 5) + (f + 0*f - 2*f)*(-13*f**2 - 17*f**3 + 13*f**2).\nAnswer: 23*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124, -118, -112, -106, -100, -94?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.199 times 0.3?\nAnswer: -22.2597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 2 = 5*k. Suppose 4*g - 6*g = 3*u - 95, 5*u = -k*g + 189. What are the prime factors of (-4 - 0)*g\/(-8)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6*18\/(-8). Let f be ((-3)\/g)\/((-3)\/18). What is the units digit of (27 - f) + (-1 - -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**6\/360 - q**5\/120 + 4*q**3\/3 - 6. Let o(i) be the third derivative of l(i). Find the second derivative of o(n) wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -7. Calculate the remainder when w is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2822, 11344, 25544, 45422?\nAnswer: 70978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5\/2))\/r*r)\/r*r\/(r*r**10)*r assuming r is positive.\nAnswer: r**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1555311?\nAnswer: 3, 311, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mphn when four letters picked without replacement from {h: 8, m: 2, n: 2, p: 3}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1431713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 8*r + 2. Let v be f(8). Suppose 0 = o - 9 - v. What is the lowest common multiple of 10 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + t - 5*t + 10 = 0, -2*d = 2*t - 8. Let o = 0 + d. Suppose o*q + 3*q - 10 = 0. Let v(p) = -p**3 + 2*p**2 + p + 2. Give v(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 0, 5\/3, -7, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 307608987\/902 - 341030. What is the common denominator of k and 23\/88?\nAnswer: 3608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6574016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2218, 12067, 29530, 54607, 87298, 127603, 175522?\nAnswer: 231055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4373 = -4*h + 2789, 3*k + 5*h = 7166. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 398329732 and 1276?\nAnswer: 4381627052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -264 - -330. Suppose -461*w = -460*w - l. Calculate the least common multiple of 192 and w.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c + 1. Let w be m(-1). Suppose 0 = x + 5*a + 1 - 20, w*x + 17 = 3*a. Is 0 + 2 + x - -24 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43538*14.8\nAnswer: -644362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 + 21*w + 102 + 15*w + 17*w - 24 - 55*w.\nAnswer: 5*w**2 - 2*w + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*o**3 + 31*o**3 + 18*o**3.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 5:51 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -30*c**2 - 4. Let v(j) be the second derivative of 89*j**4\/12 + 11*j**2\/2 + 538*j. Give 11*s(m) + 4*v(m).\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1311 + -1318.37. Let m = w + 1.19. Let y = m - 0.02. Round y to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 820 is divided by 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1973542283 to the nearest integer?\nAnswer: 44425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1236 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 59334677 and 0.83?\nAnswer: 59334676.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -0.36161?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309 + 313 = -g - 3*i + 625, 119 = -12*g - 5*i for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/(-10))\/(24\/40)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 9 = -4*s. Suppose -s*f + 191 = 67. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 + 620\/(-60))*-3*3. Solve n*l = -4*a + 26, 0*l - l + 22 = 4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13314810\/71 + 187528. Let b = 42539\/284 + t. Which is smaller: b or 146?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505 divided by -455.\nAnswer: 101\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-10) - 468\/(-90))\/((-3)\/(-10)). Solve -2*a + 5*t = -6 + p, -32 = -4*a - 3*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -78.8. Let z = -33 + 32.89. Let n = -4.11 - z. Which is the nearest to 0? (a) d (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**2 - 26*g + 2. Let c be y(7). Put c, -4, -2, 0 in increasing order.\nAnswer: -4, -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -88. Solve r*a = 4*a - 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -3, 3 in decreasing order.\nAnswer: 6, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69021211*p**3 - 418*p**2 + 2006.\nAnswer: 414127266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2663b - 6?\nAnswer: -26643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 7 + 0 - -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = o - 7, -l + 2*l = 3*o + 19. Suppose 5*v - 3*k - 209 = 258, v - 107 = l*k. Calculate the remainder when v is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 18521460.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*j + 564*j - j**2 + 471*j.\nAnswer: -j**2 - 240*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (117*q - 207*q - 328*q)*(2*q**2 + 0*q**2 - 8*q**2)*(4*q**2 + 0*q**2 - 2*q**2).\nAnswer: 5016*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6 = 6*u. Calculate the highest common factor of 30 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4748*i**2 - 9957*i**2 + 4931*i**2 in the form z*i**2 + o*i + u and give z.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 11*p + 281. Let y be j(-12). Solve -26 = 2*s + 2*s - 3*d, y*d = s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 68*u + 35 + 36 + 34 + 35*u**2 - 37*u**2.\nAnswer: -2*u**2 + 68*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 6. Suppose t = -4*d - 12, 5*r - 2*r = 3*d + 21. Suppose 3*i + 55 = a - 0*i, 0 = 2*i + r. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 2.06. Suppose m = 5*u + 5*m - 19, 0 = -3*u + 5*m + 4. Suppose 5*a + 3*f - 12 = 0, -5*a = -2*f - u*f - 20. Sort 5, a, x in descending order.\nAnswer: 5, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1171 - 4778\/55037. Let y = 74\/235 - w. What is the second biggest value in 0.2, 1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*h + 19. Let j be h*((-282)\/8)\/3. What is the greatest common divisor of j and 376?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**6\/120 - o**5\/30 + o**4\/12 + o**3\/2 + 33*o**2 - 14. Let a(m) be the second derivative of u(m). Determine a(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(42) + sqrt(42))\/(-2*sqrt(6)*-3).\nAnswer: -5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 49*y - 47*y + 57 = 0, 8 = -2*y. Suppose 0 = -n*q + 569 + 754. What is the highest common factor of 6 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58.1 - -58. Let o = 1.1 + -1.07. Let t = -2.03 + o. Which is the closest to 1\/3? (a) d (b) t (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 8*q**2 + q**3 - 6*q**2 - 3*q + 3*q**2 in the form z*q**3 + a*q + p*q**2 + k and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 9:35 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 - 2 = -2*j, 29 = m + 5*j. Suppose t + 4*u + u = -18, -3*t - m*u = 10. Suppose 0*z = t*z - 18. Is z equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 116599, 244521, 372445, 500371?\n\"Answer: a**2 + 127919*a - 11321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 63069970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*i + 1155 = 336*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 + 4 = y, 3*y + 40 = 5*m. Suppose 4*f + 3*p - 116 = 0, 5*p - p = -2*f + 68. Let o = f + y. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 3*q**2 - 8*q + 2. Let o be c(4). Suppose o = 24*p - 18*p. Calculate the common denominator of ((-68)\/p + 2)*(-625)\/20 and -13\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3129100 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 4*r + 7, 5*n + r + 6 = -5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3204 and 1869.\nAnswer: 22428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/3 - 3296*d\/3 + 13216\/3.\nAnswer: -2*(d - 4)*(d + 1652)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33435 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**3 + 10*a**2 - 15*a + 81. Is u(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnrrrnrrnnnnnnnnn. What is prob of picking 2 r?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 1109, 3878, 9253, 18098, 31277, 49654?\nAnswer: 74093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**3 - 2*m**2 - 26*m. Let a(l) = -2*l**2. Calculate -a(q) + x(q).\nAnswer: -8*q**3 - 26*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 39341943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*g - t, -5*t + 0*t - 9 = -2*g. Solve -4*f + 2*f = -g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/209 + 160\/10241. Let l be 0\/(-3) + (4 - 3). Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(3\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3336151967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 4:47 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -2, -305, 1, 13, 4 in decreasing order.\nAnswer: 13, 4, 1, -2, -5, -12, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1117293 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 13. Let q(m) = -1. Let v(o) = 4*o - 2. Let w(n) = i*q(n) - v(n). Is w(-7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 10:22 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 457 + -443. Let s = 0.189 - -14.111. Let w = s - j. What is the smallest value in w, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) + ((-40)\/15)\/(-2). Suppose 0 = 5*s - 35 - 0. Solve -w = -4, v = u + 3*w - s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67912.01mm to kilometers.\nAnswer: 0.06791201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107108604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -25. Do u and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305854 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f + 3\/260*f**6 + 184*f**2 - 1\/39*f**3 + 1\/390*f**5 - 3\/52*f**4 + 0. Factor n(h).\nAnswer: 2*(h - 1)*(h + 1)*(9*h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - u + u**2)*(-32*u**2 + 16*u**2 - 52*u**2)*(-5 - 8 - 2) to m*u**4 + a*u**3 + p*u + s*u**2 + n and give m.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -12. Let w(m) be the third derivative of m**4\/8 - 5*m**3\/3 + 8*m**2 - 4. What is w(t)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from {c: 7, b: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66*n**6 - 2*n**3 - 2*n**2 - 24*n?\nAnswer: 7920*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 359. Let c(a) = 7*a + 738. Calculate 2*c(o) - 5*k(o).\nAnswer: -o - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 0*v + 2*v)*(4*v - 3*v - 2*v) + (-v**2 - v**2 + 0*v**2)*(-81 - 157 + 138).\nAnswer: 198*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 136\/4809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4498 * 0.016\nAnswer: -0.0071968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by -87579.\nAnswer: -97\/87579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/1960 + 250139\/111720. Is 2 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyymrmyyyyywmyyy. What is prob of picking 2 w and 2 y?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2309460\/53 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22522 - 6428 = -50*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4748689 or 4748650?\nAnswer: 4748650","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) -2\/9 (b) -0.3 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3 + sqrt(242) + 0))**2.\nAnswer: 594*sqrt(2) + 2259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*i**4 - i**3 + 2859*i**2 + 807534*i + 2 wrt i?\nAnswer: 612*i**2 - 6*i + 5718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-20)*z)*z**(-1\/3)*z assuming z is positive.\nAnswer: z**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 32*q**2 - 2*q + 4. Let b(y) = -65*y**2 + 8*y - 10. Calculate 2*b(r) + 5*n(r).\nAnswer: 30*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210313303 + 30031?\nAnswer: 211010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8418771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -45376\nAnswer: -2\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*s = -996*s + 5*h + 105, h + 3 = 0 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 102)*1772\/(-12847) + (2 - 16)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 349*t = 347*t - 6, 5*t = 3*o - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 4. Find the third derivative of -3*a**s + 0*a**2 + a**3 + 3*a**2 wrt a.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b - 88. Let u be d(45). Solve -a - 3*y + 8*y = 10, -u*a - 6 = -3*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*a**3 + 4*a**4 - 5*a + 1 - 7*a**4 - 4*a**3 in the form m*a**3 + l*a**4 + t + c*a + w*a**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/99 + 494\/66 and -74\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37a439 (base 14) to base 15.\nAnswer: -27b1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 15*r - 53. Let b(h) = 4*h - 13. Give 9*b(u) - 2*j(u).\nAnswer: 6*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 2*t**2 + t**2 + 11 - 11 + t**3. Let z(u) = 2 + 245*u - 113*u - 138*u + 3*u**2. Calculate -3*n(p) - z(p).\nAnswer: -3*p**3 + 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5308268 divided by 5\nAnswer: -5308268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 3 + -8 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*x - 4 - 26 = y, 7*x = -y + 4*x + 1 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 178679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d*h*i - 4*d*h*r + 2*d*r + 194*h*r - h + 1439*i*r wrt h.\nAnswer: 4*d*i - 4*d*r + 194*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 108877 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2925 divided by -583?\nAnswer: 2925\/583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 7*s - 8. Let g be z(8). Sort -1, 4, g, 3.\nAnswer: -1, g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, x: 5, d: 3}. Give prob of picking 1 g, 1 d, and 2 x.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 246.24 + -412.23. Let v = -3.99 - y. Let b = v - 72. Is 0.1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/5 + 218*t\/5 + 216\/5 = 0. Calculate t.\nAnswer: -108, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-2))\/((-6)\/(-4)). Suppose j*t - 7*t + 50 = 0. Suppose 4*p - 92 = 3*l + 7, 2*l + t = 0. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22 and -13\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 18*m**2 + 15*m - 22. Calculate the remainder when 78 is divided by d(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y + 1. Let g be i(-4). Let l(r) = -r**2 + 8*r - 8. Let j be l(5). Let x = g + j. Solve p + 5 - 1 = x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**3\/3 - c**2 - 8*c. Let j = -63 + 70. Determine i(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73.5 + -73. Which is the smallest value? (a) 3 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -5, 0.1, 2\/5, -8, -6.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -4*n**7\/35 - 11*n**5\/60 + 26*n**2. What is the third derivative of r(i) wrt i?\nAnswer: -576*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/75 and -44\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -7*n. Let o = 41.5 - 41.5. What is the second smallest value in n, 3, o, 6\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/177 and -38\/177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 335448289 and 2365.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:26 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*a + 91.\nAnswer: -65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnyqwqwywyqqoyqwqq. What is prob of picking 1 w and 1 n?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*o = 172*o + 500. Which is smaller: o or -252\/5?\nAnswer: -252\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 545820 + -124325. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.172 - 125.172. Let k = f - -121. Let y = 0.02 + 1.98. Which is the smallest value? (a) y (b) k (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 20*y + 2. Let l be a(10). Let w be 258*((-7)\/(-3) - l). Which is bigger: w or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-20))**(-9\/2) assuming q is positive.\nAnswer: q**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f - 1. Let g(b) = -2*b. Let v = -4 + 7. Let i be (4 + (-6)\/v)*1. Give i*l(a) - 9*g(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/12)\/13*-3)\/(163\/10432).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**3 + n**2)*(0*n - 3*n + 6*n) + (n**3 - n**3 - n**3)*(-537 + 537 - 86*n).\nAnswer: 89*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d. Let t(g) = -46 - 57 - 470*g**2 + 209 - 51 - 53. Calculate f(t(n)).\nAnswer: -2820*n**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**2 - 88*l + 240. Let z be o(15). What is the highest common factor of 80 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64633 is divided by 6430?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (36\/14 + -2)*(-35)\/(-10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565506 is divided by 521798?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from ebbbbbeiebbibe.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20.4 times 509\nAnswer: -10383.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 838?\nAnswer: 32682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 440153 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6*y**2 - 2. Let p(r) = 453*r**2 + 3*r + 3. Let j(c) = -6*n(c) - p(c). Find the second derivative of j(m) wrt m.\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 55.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -58259 equal to -58394?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(f + 1 - 1 + f + 2*f - f + (f + 0*f + 0*f)*(-1 - 4 + 3) + 2*f + f + 0*f + 0*f - 3*f + f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 6*j - 159. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.306 - 1.006. Let p = 16.9 + -18. Let y = -0.1 - p. Is g >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 220. Let i be a(0). Suppose -5*k = -0*k - i. Does 11 divide (k\/8)\/((-2)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -24) + (-1 - 3) - -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 82144429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -2\/9 (c) 95 (d) -1\/5 (e) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + o + 147. List the prime factors of n(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -0.3 (b) 9 (c) -1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 to the power of 1\/2, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1117 = i - 4*w, -2*i = -4*w - 943 - 1275. Suppose -4*d - i = -5009. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/4 + 38*c + 1551\/4 = 0?\nAnswer: -141, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -4\/3, 0.0711, -0.2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/6*15\/10. Solve 4*y = 20, 5*i - y - p = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.114 - 0.414. Let t = 147 + -139.1. Let u = z + t. Round u to zero dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2545*g**4 - 6409*g**2 - 6 + 6268*g**2 + 12 - 6117*g**4 wrt g?\nAnswer: -85728*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2019 - -24374087.\nAnswer: 24376106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((2\/5)\/(-1)). Suppose 5*d = -3*s + 213, d - 2*d + 53 = -2*s. Suppose -d = -0*c - m*c. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*s + 2*s - 24*s)*(-s**2 + 3 - 3) in the form x + a*s + g*s**2 + p*s**3 and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + (-159)\/(-106))\/((-99)\/588). Solve 1168\/11*w**3 - b*w**5 + 896\/11*w**2 - 800\/11*w + 56\/11*w**4 + 128\/11 = 0.\nAnswer: -2, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + o + 6. Suppose -l + 11 = -2*r - 3*r, r = 5*l - 7. Let j(c) = -c**2 + 1. Let k(s) = l*j(s) - h(s). Determine k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 141 - 136. Solve -3*c + 5 = -2*c + 2*u, -c + w*u - 30 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 727965059777.\nAnswer: 727965059781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2729448.47 from 314269.\nAnswer: 3043717.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -14*q + 258. Let f(a) = -9*a + 167. Let l(n) = 8*f(n) - 5*k(n). Let s(i) = -25*i. Determine s(l(m)).\nAnswer: 50*m - 1150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (1280\/(-86))\/5. Is p greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95702 rounded to 3 decimal places?\nAnswer: -0.957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (f**2 - f**2 + f**2)*(-2*f + f + 2*f)*(3*f - 17*f - 19*f) as b + s*f**2 + r*f + y*f**4 + c*f**3 and give y.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 25972192.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 186 + -160. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30474?\nAnswer: 2, 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + x**2 - x - 1. Let r be l(-1). Suppose -8 = -0*k - 2*k. Suppose k*w + 1 = -r. Which is the closest to -1? (a) w (b) 2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 9*y - 4. Let c(p) = 4*p**2 - 36*p + 15. Let t(s) = -2*c(s) - 9*h(s). Let v(r) = 3*r**2 + 12*r + 8. Let f be v(-4). Determine t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-374)\/(-68) + (-3)\/(-1 - -7). Suppose -4*u + 16 = 0, -t*m + 6*u = 8*u - 608. What is the greatest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 10317 - 10309, -l + 3*i = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4869234779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 43.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 + (-40)\/(-14))*3. Let f = q - -43\/35. Let k = 0.2 - 0.1. Which is the smallest value? (a) f (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/390 and -11\/82020.\nAnswer: 1066260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 is divided by 10\/(-5)*(-8 + 4)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 8*w + 4. Let r(q) = -17*q - 9. Let p be (1 - 0) + (-436 - 14). Let x = p - -443. What is x*r(l) - 13*i(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w + 8*w + 36*w + 39*w in the form j + x*w and give x.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 445118112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 54*-38556\nAnswer: -2082024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3003080, -3003023, -3002968, -3002915, -3002864, -3002815, -3002768?\nAnswer: -3002723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 + -57. Let t = 2.532 + -1.532. Which is the closest to t? (a) 2 (b) z (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*x + 14568 + 18566 + 3316 = 1142*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t**2 + t**2)*(9*t**3 + 0*t**3 - 2*t**3) + (t - 2*t**4 - t)*(26 - 32*t - 26).\nAnswer: 78*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17659 + -17654.304. Round l to one dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 2, w: 12, i: 2, h: 1}. What is prob of picking 2 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70453? (a) -33 (b) 3\/2 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125828 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 a when three letters picked without replacement from {o: 5, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 2*f. Suppose 3*r + f = 5*r. Suppose 5*i = -r*s - 7 - 0, -3*i - 7 = 4*s. Is 0 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41640 and 310218.\nAnswer: 2082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 4*c**2 + 12*c. Let z be 48\/(-18)*3*(-3)\/(-4). Let m be a(z). Let x(h) = 4*h - 3*h - 3 + 20. What is x(m)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + sqrt(252)*5 - (sqrt(28)*-2 + -3) - ((-2*sqrt(28) + -4 - sqrt(28) - (4 + sqrt(252))) + 1))**2.\nAnswer: 960*sqrt(7) + 16228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7671, 15340, 23009, 30678?\nAnswer: 38347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((65\/(-30))\/(-13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a7 - -2?\nAnswer: -3a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93220*w**4 - 273971?\nAnswer: -372880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-8)\/12)\/((-1664)\/192).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 673503 to the power of 1\/2, to the nearest integer?\nAnswer: 821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 66*f - 56*f. Let k(x) be the first derivative of x**3\/3 + 9*x**2\/2 + 3*x + 22. What is k(f)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*y**2 + 39569 - 39569.\nAnswer: -155*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 839*c**3 - 15*c**2 + 57*c - 204. Is v(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34165 to the power of 1\/2, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - m + 4*l - 3092, -3*m + l = -2299. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w - 8*w - 255 = 0, -26*m + 64*m - 4*w + 12 = 23*m + 19*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 498, 1119, 1998, 3141, 4554, 6243?\nAnswer: 8214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**2 + 6. Let j(g) = -6*g**2 + 5. Let m(r) = -5*f(r) + 4*j(r). Let a be m(5). Let y be ((-24)\/a)\/(44\/(-10) + 4). Solve -v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 231 + -243. Let g be m\/(-84) + (-20)\/(-7). Is g >= 90\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33789.9794 + -33787. Let b = 0.0206 + n. Let x = 3.8 - 4. What is the third smallest value in b, x, -2\/25?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 341 + -330 + -15 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 11:38 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3484810 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((380\/4*(-37)\/(-185))\/((-5)\/(-10)))\/(-6).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 31 = 5*s, -35 + 20 = 3*s + 3*z. Find c, given that -4\/3 - 1\/3*c**s - 5\/3*c = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/3))**(-10)\/(z*z**(-1\/4)*z)**23 assuming z is positive.\nAnswer: z**(-563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 8. Suppose 4*j - 85 = k + 38, -2*k = -5*j + 156. Suppose j = -5*l - 0*l. Give n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 90*z + 615. Let k be d(6). Solve 5*h + 32 = -2*f + 45, k*h - 11 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/708 and 149\/17700.\nAnswer: 17700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2979972 from -64.73.\nAnswer: 2979907.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1149, 9179, 30953, 73341, 143213?\n\"Answer: 1145*w**3 + 2*w**2 + 9*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 0*r**2 + 0*r**2 + (-5*r + 2*r + r)*(-2*r**2 + 2*r**2 - 2*r**4) + r**5 + r**5 + 2*r**5.\nAnswer: 6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5517 is divided by 62.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 8*r**2 + 8*r + 9. Suppose -3*t - 23 = -5. Let b be p(t). Let q = 26 + b. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + -3*(sqrt(2) + -2)*-4 + ((sqrt(42)\/sqrt(3))\/sqrt(7) - (sqrt(18) + -5) - -2*(-1*sqrt(32))**2).\nAnswer: 10*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 9 (c) -0.4 (d) 0 (e) -350\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2098646703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 130\/65*(9\/6)\/(6\/26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -155*j**3 - 5*j**2 - 10*j - 8. Suppose 31*b + 18 = 33*b. Let w be v(b). Is w\/(-198) + (-2)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, s: 5, c: 1, t: 1, q: 2}. What is prob of sequence ss?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (48 - 55 - 77)*(2*o**2 + 0*o**2 + 0*o**2) in the form g*o**2 + v*o + p and give g.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189 and 14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59 + 65. What is the nearest to -1 in 3\/4, j, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*c = -3*c - 2, -3*w - 3*c = -15. Let i be (2 - 0) + w + 2. Solve 0*j**5 - j**4 - j**4 + 2*j**i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**2 - 201 - 3476*y + 3476*y)*(1 + 2*y - 1)*(-2*y - y + y) to the form x*y**3 + f*y**4 + c + q*y**2 + t*y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42436978 + 4677*s**3 - 42436978.\nAnswer: 4677*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 236991299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 2)*(119 - 44 - 26 - 762*t - 26 - 21) as b + c*t and give c.\nAnswer: 2286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/6 - (-21)\/9. Let y be (-12)\/3*(-2)\/4. Suppose y*n + 3*n = 0. Solve j = -2*i - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 4\/68*-66?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/104)\/(-17)*4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 t, and 1 m when three letters picked without replacement from jmjrtyj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1280)\/3200*315\/6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**3\/9 + 17*n**2\/9 + 860*n\/9 + 800\/3 = 0.\nAnswer: -20, -3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let l = -1 + 2. Let c = l + 0. What is the closest to c in 0.4, t, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(441)\/sqrt(112) + sqrt(252)\/(sqrt(16)\/sqrt(4) + sqrt(4)))\/(((sqrt(1296) + -1*sqrt(1296) - sqrt(1296)) + -2*sqrt(144))*6).\nAnswer: -sqrt(7)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7776 = 28*c + 1252. What are the prime factors of c?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77623*f + 1041*f**2 - 6 + 109*f**2 + 77623*f + 6.\nAnswer: 1150*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (88\/110)\/((-3)\/5 - -1). Let u be (7 - -1) + r\/2 - 0. Solve -l = 4*a - 13, u = 3*l + a - 4*a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 46. What is the remainder when 306 is divided by q(12)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - -3 - -305*3. Let t be 8\/36 + (-258)\/f. Which is smaller: 2\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 172*z**2.\nAnswer: -172*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (0 + 27)) + 36 + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/6536 and -41\/748372.\nAnswer: 1496744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-5)\/((-30)\/(-4)). Let a = 434564\/3 + -144854. What is v in -k*v + 0 - a*v**4 + 1\/3*v**5 + 2\/3*v**2 + 0*v**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + g = 30. Let c(n) = n**3 + 26*n**2 + 26*n - 4. Let b be c(-25). Let j = g - b. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3*s**2 + 8*s + 90. Give i(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 595*d**2 + 136*d + 136. Let t(v) = 22*v**2 + 5*v + 5. Determine -136*t(z) + 5*u(z).\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 3)\/2 - (303\/60 + 2)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -550*w**3\/19 + 9510*w**2\/19 - 41538*w\/19 + 3698\/19 = 0.\nAnswer: 1\/11, 43\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, z: 1, l: 1, e: 1, x: 1, m: 2}. Give prob of picking 1 q and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 60*f**2 + 2*f - 3. Let v be g(5). Let n = -5963\/4 + v. Let h = n + -16. What is the smallest value in h, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1022 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 15575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174165828.\nAnswer: 2, 3, 97, 149627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -117276 divided by -19546?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - q**2 + q - 2. Let z be l(1). Suppose 5*t - t - 8 = z. Solve 0 = 3*w + 3*u + t + 4, 4*u = 4*w - 32 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2640 + 0.5.\nAnswer: 2640.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1405123 and 446?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5129\/1547 + (-246)\/2091 + (-6)\/(-390)*15.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2193\/2580 - 2\/8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9304, -9319, -9352, -9409, -9496, -9619, -9784?\n\"Answer: -y**3 - 3*y**2 + y - 9301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {f: 2, g: 8, c: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 105 from 1522.4962289.\nAnswer: 1417.4962289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -1. Let g(p) be the second derivative of p**4\/6 + p**3\/3 + p**2\/2 + p. Calculate the remainder when g(3) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1048342 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, g: 4, s: 3}. Give prob of picking 1 g and 1 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, -463, 1\/2 in decreasing order.\nAnswer: 1\/2, 4\/11, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 3. Let t be i(-5). Suppose 3*o - u + 10 = -0*o, -3*o = -2*u + 8. Which is the smallest value? (a) t (b) 1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -348 + 377. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 28. Suppose m*r = -2 + 82. Suppose -2*j + r = -0. Calculate the remainder when 37 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnzaznzz. What is prob of picking 2 z and 1 n?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 31*v**3 - 11*v**2 - 75. Suppose 0*n - 66 = 6*n. Let w(d) = 6*d**3 - 2*d**2 - 15. Let a(p) = n*w(p) + 2*x(p). Differentiate a(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 9, -2\/7, -4.\nAnswer: -4, -2\/7, 0.2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + 2*z**4 - 4*z**4)*(5*z + 2*z - 4*z).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 3244214043?\nAnswer: 3244214101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 671716*l + 652437 wrt l?\nAnswer: 671716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 2:54 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -61174?\nAnswer: 61176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gu when two letters picked without replacement from {l: 5, v: 2, o: 1, a: 3, g: 3, u: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 2. Let m(b) = -b**2 - b. What is -2*m(y) - 2*p(y)?\nAnswer: 4*y**2 + 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b + 9. Let c(y) be the third derivative of 0 - 4\/3*y**3 - 54*y**2 + 0*y - 1\/3*y**4. What is -7*c(z) - 6*x(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-7) - (-528)\/154. What is the third derivative of 6*h**3 - 6*h**3 - 6 - 153*h**4 + 154*h**t - 12*h**5 - 4*h**2 wrt h?\nAnswer: -720*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759 + 1759 + a**2 + 90*a.\nAnswer: a**2 + 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**7\/252 - 43*o**6\/180 + 481*o**5\/120 - 119*o**4\/24 - 49*o**3\/2 + 2077*o. Suppose g(s) = 0. Calculate s.\nAnswer: -1, 0, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8918 - 8916. Which is the nearest to -1? (a) -34 (b) 2\/9 (c) n (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 23. Let a be o(9). Let l be (5\/(-15))\/((-2)\/(-18)). Sort a, l, -5 in increasing order.\nAnswer: -5, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*r - 2*i + 8, -4*r - 4*i - 8 = 0. Let q(n) be the first derivative of n**4\/4 + 5*n**3\/3 - n**2\/2 - n + 98. What are the prime factors of q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 * 1078722\nAnswer: -2804677.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.7 + 42.7. Let g = -33 + a. What is the third biggest value in 0, g, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.86982 centuries in years?\nAnswer: 8386.982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74647 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -23*d - 44. Calculate g(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*h - 2*t - 600, 3*t = -15. What are the prime factors of h?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-7273)\/(-728))\/(-1) + 10. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 16. Suppose 0 = 5*y + 2 - 22. Find the second derivative of -r*v - 3*v**4 - 5*v**4 + 2*v**4 + 2*v**y wrt v.\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170934 and 426?\nAnswer: 12136314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 + -184. Put -2, o, 3, -1 in ascending order.\nAnswer: -2, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*p + 9 + 5, 10 = 4*j - 3*p. Suppose 0 = -5*y - 4*r + 528, j*y - 258 = 5*r + 148. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 10 - -4)*1. What is the tens digit of ((-24)\/y)\/((-8)\/196)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*17 + (-8 - -6). Let z be (-25)\/o + (-49)\/(-4). Suppose 36 = z*b - 9*b. Calculate the remainder when 23 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/213 (b) 65 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4916 + 4940. Calculate the highest common divisor of d and 1884.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -119502+0.189\nAnswer: -119501.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -825*w - 3192 = -597*w for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101122100 (base 3) to base 10.\nAnswer: 27441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*l + 2*l - 2*l - 12*l - 5*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3813561 to the nearest integer?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.857053 to two dps.\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2 - 7*b + 11. Let v(j) = 3*j**2 - 4*j + 6. Let s = -1109 - -1102. Determine s*v(w) + 4*a(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 - 3) - -1 - -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 4*n + 2. Let k(w) = -w**3 - 13*w**2 + 13*w - 12. Let l be k(-14). Give z(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 560 from 3362.\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -2\/7, 0.2, -7, 4, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 * -0.053435.\nAnswer: -1.70992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122522462 - -2?\nAnswer: -122522460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24543 + 31514?\nAnswer: 100501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -523831*j - 491 - 535 - 366*j**3 + 523831*j wrt j?\nAnswer: -1098*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3676199 to the nearest integer?\nAnswer: 1917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 l when three letters picked without replacement from {i: 4, l: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 715.356602?\nAnswer: -713.356602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -776.031 - -911.03228. Let p = 135 - m. What is p rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*u + 18*u - 45*u)*((-u - 3*u + 3*u)*(3*u - 12*u - 8*u) + 4*u**2 + 3*u**2 - 5*u**2).\nAnswer: -247*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 393674 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/5 - 29\/20. Let x be 92\/(-8) + -1 - 9\/6. Let f(r) = -r**2 - 13*r + 13. Let v be f(x). What is the closest to v in a, 1, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1134?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23413441133 + 3?\nAnswer: 23413441141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7300*h + 42 = -7279*h. Solve -4 = -h*p - 4*o, 22*o = 26*o + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**5 - 5*q**5 + 0*q**5)*(6 - 1 - 1) - 13*q**5 + q**5 - 17*q**5 + (q + 0*q - 3*q)*(q**4 - 4*q**4 + q**4).\nAnswer: -37*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -4*k - k. Suppose 3*i - 129 - 87 = k. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38172199 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*q**5 + 748*q**4 - 25*q**3 + 3*q**2 - 33985 wrt q.\nAnswer: -4020*q**2 + 17952*q - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 3*j**2. Let w be s(2). Suppose 0 = -5*o + 10, w*a - 5*a = -o - 1. Which is bigger: a or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45\/58 + 6071\/174. Let t = -36 + u. What is the smallest value in t, 1\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v**2 + 2*v - 1. What is t(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + ((-4)\/5)\/((-4)\/(-10)). Put 0, -3\/7, -0.4, k, 10 in increasing order.\nAnswer: k, -3\/7, -0.4, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 81 + 91. Calculate the remainder when 97 is divided by ((-12)\/k)\/(6\/(-30)) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71531, 71574, 71649, 71756?\n\"Answer: 16*f**2 - 5*f + 71520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 126 = 15*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.2 (b) -5 (c) 4 (d) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -114309 != 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 17951, 5, 0, 1 in decreasing order.\nAnswer: 17951, 5, 4, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-1\/4)*g*g)\/g)\/g)**0\/(g**(1\/3))**(-38))**(31\/3) assuming g is positive.\nAnswer: g**(1178\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1255\/30)\/((-530)\/51). Let b = -4\/53 - a. Let k = 3745 - 22619\/6. Find the common denominator of b and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.46513419 + 124.465.\nAnswer: 121.99986581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/13, 1\/6, 3\/4, -38, 1\/5, -2 in ascending order.\nAnswer: -38, -2, 1\/13, 1\/6, 1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/70 + 6\/(-7) + 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**5\/3 - 2824*c**4\/3 + 534000*c**3 + 582030320*c**2\/3 - 6014789456*c\/3 - 4781612992 = 0?\nAnswer: -254, -2, 12, 1534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 29*u**2 + 7*u + 4. Let w be n(-2). Let s = w - 102. Solve -s*r - 2 = -2*i, i = 2*r + r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 46, 82, 98, 88, 46?\n\"Answer: -i**3 - 4*i**2 + 55*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, v: 6, i: 5}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2574\/(-36))\/13)\/((-1)\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) 10 (d) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 + 31 + 7*y)*(-1 + 1 + 2)*(1 - 10 + 3)*(-3*y - 25 + 25).\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 12*c = -9*c - 1, -4*c - 6 - 6 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36826760129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)\/(i\/((i\/(i**(-2\/17)\/i))\/i))*i\/i**(1\/7)*i**(-1\/8))\/(i**(2\/11)*i*i**0*i**(-1\/4)*(i\/i**(-3\/4))\/i) assuming i is positive.\nAnswer: i**(-151639\/157080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 291561, 291560, 291559?\n\"Answer: -k + 291562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csccsscsco. Give prob of sequence cc.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 + 500*u**4 + 22092*u**3 - 318404*u**2 + 793192*u - 497376 = 0.\nAnswer: -44, 1, 2, 9, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 367647 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**3 + 80*r**2 - 131*r - 123. Give i(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756260817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 15*s + 6. Suppose 0 = 4*w + s*w. Solve w = 5*j - v, v = 6*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 77 = 3*a, -g + 3*g + 5*a - 25 = 0. Solve -u + 5*x - 20 = -0*u, 3*x = 5*u - g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaocohohhahfhnoha. What is prob of picking 1 n and 1 h?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kisx when four letters picked without replacement from sjfjkix.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2 + 4 + 3*u**2 - 5 + 2*u + 3*u**2. What is the lowest common multiple of 11 and l(-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -0*r + 3*r + 2*g, -2*g = 2*r. Suppose -2*h = -r - 9. Solve -h*d - 18 = -13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110111 (base 2) in base 13?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/30 - 4*a**2. Let u(r) = 2 - 2*r - 2. Give u(g(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 1.4. Let j = -3.4 - w. Let x = 5610\/31 - 28112\/155. Sort x, j, -0.1, -2 in decreasing order.\nAnswer: -0.1, x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1094, -1101, -1114, -1133, -1158?\n\"Answer: -3*i**2 + 2*i - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-1)*v*v*v*v)\/v))**5\/(v**1)**(-28) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 1. Suppose k*p + p = 0. Is 0 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 44 (b) -1 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -101\/1003 - 1\/59. What is the smallest value in 0, b, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f**3 - 14. Let n(g) = -27636227*g - 21 - 13*g**3 + 27636227*g. Determine 5*n(w) - 7*q(w).\nAnswer: -2*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 5, s: 1, m: 9}. What is prob of sequence bm?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 0 + 0*s**6 + 0*s**7 + 0*s**5 + 0*s**2 + 1\/56*s**8 + 1\/4*s**4 - 2*s + 0*s**3. What is the third derivative of u(h) wrt h?\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4\/7 + 5731*z**3\/7 + 66174*z**2.\nAnswer: z**2*(z + 82)*(z + 5649)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46553, -46527, -46487, -46427, -46341, -46223, -46067?\nAnswer: -45867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/64*4)\/((-22)\/(-44))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*16\/(-8)*1\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, w: 2, n: 1, j: 1, f: 1}. What is prob of sequence nwn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27661 divided by -2.\nAnswer: 27661\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2215550 - 1?\nAnswer: 2215545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863669003?\nAnswer: 13, 29, 584303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.05, 2, -5, 1.78, 5 in descending order.\nAnswer: 5, 2, 1.78, -0.05, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 228.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -73099, -4 in increasing order.\nAnswer: -73099, -4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**2 - 3*h - 9. Let j(f) = -21*f**2 + 15*f + 39. Let t(m) = 6*j(m) + 26*x(m). Let k(u) = -44*u. What is k(t(q))?\nAnswer: -176*q**2 - 528*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4491 and 887721?\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**2 + 5*g**2 + g - 8*g**2 + 43*g**2 - 2*g.\nAnswer: 57*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) + (-176)\/10. Let b(q) = -q**3 + 7*q**2 + 7*q - 3. Let d be b(8). Let s = d - a. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, 5, 105, 5423 in descending order.\nAnswer: 5423, 105, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/20*(-16)\/6. Put 2\/15, -1\/3, w in descending order.\nAnswer: 2\/15, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 63)*(1 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three tenths of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 + 65915*u**4 - 321*u**6 + 6*u**2 - 12 + 65923*u**4 - 131824*u**4 wrt u.\nAnswer: -38520*u**3 + 336*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 189168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 12 - 3. Let i(o) be the third derivative of 2\/5*o**5 + 2\/15*o**6 + 1\/3*o**l + 1\/2*o**4 + 0*o + o**2 + 0. Solve i(x) = 0 for x.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -171439a8 + 3?\nAnswer: -171439a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32911927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtxt when four letters picked without replacement from {j: 1, t: 11, x: 3, d: 5}.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7309\/5844 + -1\/1461. What is the smallest value in p, -11, 2\/11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 9:31 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68687401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/27075 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*f = 97, 2*f - 6*f + 20 = 0. Suppose 2*v - 68 + a = 0. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Suppose 9 - 2 = 3*m + o, 0 = -m + 5*o + 13. Suppose m*r - 31 = 5*h, 2*h - r + 0*r = -12. What is the nearest to 1 in h, u, 1\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 205413 a multiple of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. Suppose -x*s - 11 = 3*h, -35 = -s - 4*s + 5*h. List the prime factors of s*(-2)\/3*-9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*x + 58, 14*v - 9*v = 5*x - 65. Solve 0 = -5*k - x, -2*r - 2*k + 5*k = -17 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 4. Let b be (0 - -1)*(-2)\/(-1). Let d be (4\/(-4) + b)\/(o\/(-42)). Solve -5*t + 28 = 3*j, d = -j + 2*j + 4*t for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 times -0.164?\nAnswer: -28.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 31\/(-3 + 7 + -5). Let p(w) = -3*w - 88. Let n be p(m). Solve -2*f + n - 1 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 861 is divided by 527?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -564b4?\nAnswer: 564b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5b124a + 1?\nAnswer: c5b124b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 3*m + 1. Let i = m + 12. Is 17 a factor of (51\/9)\/(i\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38 + -86 - -75) + -63.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 74*h**3*n**2 - 7*h**3*n - 53*h**2 - 9*n**2 wrt h.\nAnswer: 444*n**2 - 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99381 divided by -144.\nAnswer: 33127\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/3 - 58*q**4\/3 - 122*q**3\/3 - 62*q**2\/3.\nAnswer: 2*q**2*(q - 31)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -19*t**4\/12 - t**3\/3 + t**2\/2 - 10*t - 2. What is o(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(7 - 17\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoen when four letters picked without replacement from {o: 1, n: 1, e: 2, s: 1, v: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 7:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 13692558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 3*z + 2*z + (-11 + 1 - 5)*(-2*z + 4 - 4) + 494*z + 488*z + 2 - 989*z to t + x*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3578, -0.2, -5\/2, 13 in decreasing order.\nAnswer: 3578, 13, 0.3, -0.2, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k**4\/5 - 389*k**3\/5 - 783*k**2\/5 + 389*k\/5 + 782\/5 = 0. Calculate k.\nAnswer: -2, -1, 1, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.8 and -7?\nAnswer: 26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/5, -8\/5, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217904643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**3\/r)\/(r**(2\/23)\/r) assuming r is positive.\nAnswer: r**(113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**4 + 7*n**3 + 43*n**2 - 7*n - 40 = 0.\nAnswer: -8\/3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 66. Let j be d(23). Calculate the remainder when 651\/5 + j\/25 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((4 + 7 - 5) + (-2 - 0))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h + 13*h + 16 - 2 + 5 as i + f*h and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 14*z**2 - 4*z - 4. Let d be v(-6). Let u = -33 - d. Is 16 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2*c - 10 = 0, 18*c - 19*c = 1. Sort -0.3, -4\/3, -2, d in descending order.\nAnswer: d, -0.3, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5663*z**2 - 7347 with respect to z.\nAnswer: -11326*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/2 + 7*l**3\/6 + 13*l - 14. Let h(q) be the first derivative of c(q). Let i(j) = 3*j**2 - 3*j. What is 6*h(t) + 14*i(t)?\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l + 192 = 0. Suppose 2*k = 3*h - l, 4*h - 3*h + k - 16 = 0. What is the greatest common factor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*g, -3*j + 0*g - 2*g = -23 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (-192)\/108 - (25\/(-9) + 3). Solve -3*b + 5*c + 6 = a, -3 + 0 = -b + 2*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -6 - (-2 - 2). Suppose -18*p + 9*p**f - 3\/2*p**3 + 12 = 0. What is p?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 398\/9 (c) -17 (d) -1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18238 + -18233. Which is the closest to -63? (a) r (b) 3 (c) -2\/3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 29 = 3*a. Suppose -5*x - 3*n = -a, 5*x + n - 34 = x. Solve 5*r = d + x, 2 + 10 = -4*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-32)*13\/(338\/(-56)). Let r = 59 - 181\/3. Which is the third smallest value? (a) 0.2 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10275.8 rounded to the nearest 100?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = -5*d, 2 + 4 = -m + 4*d. Let r be 1 + -2*1 + -3. Let c = r - m. Solve -12 = -c*f - f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/3)*w\/(w*w*w*w**0*w)*(w\/(w**2\/w))**(3\/7) assuming w is positive.\nAnswer: w**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/21)*((o*o*(o*o\/(o\/o**(-3\/16)))\/o*o*o)\/o)\/o*o)\/((o\/(o\/o**(2\/143)))\/o*o*o**(-19)*o) assuming o is positive.\nAnswer: o**(994751\/48048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*w**4 + 12*w**4 - 94 - 43*w**5 - 43*w**4 + 20*w**4 + 7*w**4 - 5*w**2 wrt w?\nAnswer: -2580*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.319 + -2.314. Let l = r - -2. Let p = -0.295 + l. What is p rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17280 is divided by 378.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402, -1571, -3502, -6195?\nAnswer: -9650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -1.262.\nAnswer: -9.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 5. Let y be q(10). Suppose -y*f + 7 + 3 = 0. Determine t, given that 7\/3*t - 2\/3 + 4\/3*t**f = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1018\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.012 - -2.988. What is the nearest to h in -0.4, -2\/17, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 4*f**2 + 8*f - 1. Suppose 4*y - 40 = 5*o + 3*y, -y = -5. What is the tens digit of s(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.043 and -0.5211.\nAnswer: -0.4781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 56017, 56034, 56077, 56158, 56289, 56482?\n\"Answer: 2*i**3 + i**2 + 56014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105731147?\nAnswer: 105731147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 1944.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1410123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145 - 32?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 1, s: 3, o: 1, u: 6}. What is prob of sequence ou?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 266*d**3 + 3*d**2 + 3*d - 2. Let j be t(4). Let q = j - 1434961\/84. Find the common denominator of q and -89\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150823750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293*m**5 - 376*m.\nAnswer: 5860*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -h**3\/3 + 5*h**2\/2 + 5*h + 6. Let i be a(0). Suppose 567 - 6832 = -i*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117526.\nAnswer: 2, 58763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*b + 5, 3*g - 2*b + 0*b - 15 = 0. Suppose g*m = 17 - 7. Let a be (0 - -15)\/((-3)\/m). Let x(h) = 2*h + 12. Calculate x(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.946504 + 1.948. What is v rounded to 5 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - w = 929, 3*c + 2*c - 1547 = w. Calculate the remainder when c is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.143841 hours?\nAnswer: 517827.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**5\/20 - w**2. Let l(z) be the third derivative of -z**4\/12 - 7*z**2. What is l(k(h))?\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-4) - (-18)\/(-4). What is the least common multiple of 22 and 6\/o - 0 - -22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 3:28 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 241. Find the second derivative of -5*c**m - 77*c**2 - 95*c**2 + 185*c + 27*c**2 + 19*c**2 wrt c.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -z. Let w be ((-24)\/(-30))\/((-4)\/(-10)). Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from fljtu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 13 + 20)*(-3*p + 4*p - 3*p) to k + o*p and give o.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24564?\nAnswer: 2, 3, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -4203*x**2 + 2*x. Let m(q) = -14*q. What is m(h(l))?\nAnswer: 58842*l**2 - 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*h*i*p**2 - 5*h*i - 176367*h*p**2 - 297*i*p - 38*p wrt p.\nAnswer: 16*h*i - 352734*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 15?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2. Let z(x) be the third derivative of x**5\/5 - 19*x**2. Calculate z(f(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16118273.\nAnswer: 37, 367, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b (base 15) to base 4.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2179?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**5\/4 - 16845*a**4\/4 - 235413*a**3\/4 - 957879*a**2\/4 - 151146*a + 453681 = 0.\nAnswer: -5601, -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 770936 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: Multiply 1.6 and -38.\nAnswer: -60.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 208, 471, 734, 997, 1260, 1523?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 82?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -2*p**3 - p + 5. Determine b(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 209 - 124. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -2\/9 (b) -1\/3 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -10*g - 16. Let i = g + 22. Suppose -2*d = 4*d - i. Solve -3*h - 11 + 0 = -c, -3*c = -d*h - 9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 6. Calculate f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1930 + -305038.\nAnswer: -306968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q + 1. Let k(f) = -f**3 - 5*f**2 + 7*f + 9. Let z be k(-6). What is the remainder when d(z) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 5. Let q(u) = u - 6. Let f(o) = 7*o - 42. Let z(a) = -2*f(a) + 15*q(a). Suppose i + n = -n, 4*n = -12. Give i*h(p) - 5*z(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/26)\/(7*(-5)\/35).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93460.\nAnswer: 2, 5, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-14)*c*c**(-5) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 1. Let t = -4 - u. Let y = t + 7. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-4) - 2\/8. Which is the closest to i? (a) -3 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/471? (a) -34 (b) -4 (c) -9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/12? (a) 39 (b) 680 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 2*a = -53 - 3, -4*a = 0. Let v = 2 + w. Let m = v + -23. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b1c (base 13) to base 12\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 1165, 1745, 2325, 2905, 3485?\nAnswer: 4065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 202040321?\nAnswer: -202040330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/9*(-3)\/(-4). Suppose -4*r + 0*r = -3*c + 36, 2*r = i*c - 18. Let g(t) = -t**2 - 10*t - 13. Let v be g(r). Put 4, 0, v, 25 in ascending order.\nAnswer: v, 0, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797104708?\nAnswer: 2, 12739, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 4*n + 312, t + 4*n = 156. Suppose 324 = 2*d - t. Suppose 0 = -0*w - 4*w + d. Calculate the highest common factor of w and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c - 2. Let f be a(-2). What is the greatest common divisor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2\/3 - 16805582*n\/3 - 70606896589681\/6 = 0. What is n?\nAnswer: -8402791\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/2 + (6 - 6). Suppose -r*c = 3*c - 355. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139.18 - 152. What is c rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*o**6 - 30*o**4 - o**3 + o**2 - 7028.\nAnswer: 2280*o**3 - 720*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1272 is divided by 1261?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 4*o - 3. Let n be l(2). Is 2\/(-2)*327\/n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9673 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -7.4. Let i = k - -0.6. Let g = 0.5 - 0.9. Sort i, g, 1 in increasing order.\nAnswer: i, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -46. What is the highest common factor of u and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 151541809 and 1497?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**8)**(-2\/197) assuming g is positive.\nAnswer: g**(-16\/197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 398270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -27, -71, -135?\n\"Answer: -10*u**2 + 6*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 + 0*z**3 - 2*z**3 - 6*z**3 + 2*z**3 + 0*z**3 + (3*z - 3*z + 2*z**2)*(0 + 0 + z).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:25 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 5)*(-1 + 1 - 3)*(-3498*x + 268*x + 1358*x)*(4*x - x**3 - 4*x) to the form k*x + c*x**2 + z*x**4 + b + o*x**3 and give z.\nAnswer: 5616","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 5 (c) 2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -120?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 11. Solve 6 = -5*k + m, -2*k = x*m - 0*m + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9\/38 + -5\/19. Is -2\/19 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1590 and 2115.\nAnswer: 224190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-189)*-1*(-456)\/(-19).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bobbob. What is prob of sequence oooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47694639 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 89964262?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*h - 138 = 0, -4*c = -c + 3*h - 117. Suppose 190*i + 109*i = 10166. Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - m - m = -5, -2*p - 3*m + 5 = 0. Let a(g) = 8*g - 4. Let b(r) = -9*r - 1 + 4 + 2. Give p*a(t) - 4*b(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8943, 72373, 244747, 580539, 1134223, 1960273?\nAnswer: 3113163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - w - 3*w - 1637 = 0, -5*w = -4*z - 1285. Let h = -211 - z. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9210\/(-41445)*((-25)\/90 + (-2)\/(-9)).\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 435?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*p - 3908 + 40064 = 0. Solve 0 = -p*m + 291*m + 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a century?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/3729 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 679*0.017\nAnswer: 11.543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -6, -410 in descending order.\nAnswer: 16, 2, -6, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1194*j**2 - 9542*j + 65. What is n(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 - 234 = -11*i. Solve i*y = 19*y + 128 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -42, -259, -838, -1959, -3802, -6547?\n\"Answer: -30*m**3 - m**2 - 4*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-2\/5)*b))**(-1\/10)*(b*b**(-1\/4)*b)**(11\/5) assuming b is positive.\nAnswer: b**(391\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 1 = q. Let w = 17 - q. Solve j = -s - 3, -8*s + w*j = -4*s - 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/10 - (58 + (-312)\/6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3381 by -4253.\nAnswer: -3381\/4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3, -96, -0.01, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -725*i**3 - 175. Let t(q) = -25*q**3 - 6. Give -6*r(n) + 175*t(n).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 5*t + 2. Let i be 6\/3 + (-5 - 2). Let g be s(i). What is the highest common factor of 10 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1727*o**2 - 4039*o - 8937334.\nAnswer: 3454*o - 4039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 589 + -207. Let r(u) = -u**2 + 37*u - 320. What is the remainder when t is divided by r(16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18182369800 rounded to the nearest one million?\nAnswer: 18182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oowvdvovdolvoowo. Give prob of sequence wv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 79, 75, 69, 61, 51?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)\/n**20)\/(((n**14\/n)\/n*n*n)\/n**(-3\/7)) assuming n is positive.\nAnswer: n**(-3629\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 71. Let l = 39 + m. Factor 3\/2*g - 1 - 1\/2*g**l.\nAnswer: -(g - 2)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1472 and 12374000.\nAnswer: 49496000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {x: 1, i: 1, r: 2, k: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 1737522.\nAnswer: 12162654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-4 + -1*sqrt(1900)) + 2)**2 + 1.\nAnswer: 2200*sqrt(19) + 47985","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - r + 16. What is the lowest common multiple of ((-63)\/27 - -3) + (-2402)\/(-6) and y(-4)?\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46282 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.8325 to 1 decimal place.\nAnswer: -15.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.33?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 33. Let h(l) = 8*l - 1. Let j be h(2). Let g = j - i. What is the lowest common multiple of g and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 + 630*y**4 + 17880*y**3 - 122800*y**2 + 256080*y - 174240.\nAnswer: 5*(y - 2)**3*(y + 66)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + h + 24, 0 = 1933*o - 1934*o + 2*h - 12 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-704)\/(-336)*42\/216)\/(1\/9)*-12?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162884541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 12:38 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20332222*y**3 + 75917817?\nAnswer: -60996666*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 17*p**2 - 33*p + 8. Let r be w(-14). Is r greater than or equal to -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1577775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 220176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-19456)\/380)\/64)\/(422\/(-5))?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21112 + 1211202020102?\nAnswer: 1211202111221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 141935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 2:06 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98484 and 11948.\nAnswer: 10143852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**5*v**3 - 1866*b**5*v - 3*b**2*v**2 - 4*b*v**3 - 2*b*v + 53*v wrt b.\nAnswer: -480*b**2*v**3 - 111960*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**3*t - 125*g*r*t + g*t + 882*r*t + t wrt g.\nAnswer: -6*g**2*t - 125*r*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**4 - 565*h**3 + 7648*h**2 + 77572*h + 69360 = 0.\nAnswer: -578, -6, -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388 - 381. Suppose p*t - 3*t + 14 = 3*m, 22 = 4*m - 2*t. Let o(u) = -u**2 - 5*u + 5. Let d be o(-5). Solve 0 = d*k + m + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.06485 to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h + 7. List the prime factors of o(-13).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186751250 by -350.\nAnswer: 533575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -2*p + m + 4, 5*p = 2*m - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11060735?\nAnswer: 5, 7, 71, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464859 = 98*p - 17*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8563? (a) -30\/11 (b) -1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) -0.6 (c) -0.9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3253*k - 5491*k + 210372 for k.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(17\/(-4) - (-6)\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -546*l**2 - 36*l - 36. Let t(z) = 78*z**2 + 5*z + 5. Let w(f) = -36*t(f) - 5*y(f). Let x(o) = -o. Determine w(x(g)).\nAnswer: -78*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/30 + 7*j**4\/24 - 5*j**3\/6 + j**2. Is a(-7) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 152.01 + -152. Let x be 10\/32*(-3)\/((-30)\/4). Which is the smallest value? (a) x (b) p (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 3. Calculate w(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*g + 61 - 7*g - 26 - 33 to p*g + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103.0041 + 103. Round d to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9527741nm in millimeters?\nAnswer: 0.0000009527741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 248450543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrg. What is prob of picking 3 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - a = 8 - 29, 15 = 3*a. Calculate the remainder when 56 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 1. Let m(f) = -f**3 - 5*f**2 - 4*f + 5. Let p be m(-4). Suppose -5*y = 2*g + g - 28, p = y. Are i and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 60379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 - 67*q**3 + 5*q**2 - 66*q**3 + 0 - 2*q - 3 + 132*q**3 in the form r*q**3 + h + w*q**4 + v*q**2 + o*q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.378141 minutes to seconds.\nAnswer: 442.68846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7560384 a multiple of 699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.251 - -0.049. Let y = w + 0.7. Let o(j) = -j**3 + 5*j**2 - 3*j - 12. Let n be o(3). Put y, 0.1, n in decreasing order.\nAnswer: y, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -11*l**3\/15 - 12*l**2\/5 - 4*l\/5 - 34. Factor m(p).\nAnswer: -(p + 2)*(11*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + 2 + -1 + 2. Suppose -a*i = -i. Let t = 13 - 9. Put i, t, -3 in descending order.\nAnswer: t, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1066 - 611. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 130*z**3 - 425*z**2 + 290*z.\nAnswer: 5*z*(z - 2)*(z - 1)*(z + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1561, -3111, -4661?\n\"Answer: -1550*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 124.86 - 124.76937. Let p = s + -0.091. Round p to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000717 rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12789, 12783, 12775, 12765, 12753?\nAnswer: 12739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 883671 to the power of 1\/2, to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(117) - (sqrt(117) + -5))*-6)**2.\nAnswer: 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**5 + 3*h**4 - 8*h**3 - 4*h**2 = 0. What is h?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 75, 103, 87, 21, -101, -285, -537, -863?\n\"Answer: -m**3 - 16*m**2 + 83*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 3. Let x be v(3). Let t = -1 - x. Suppose -5*s - 4*u + 111 = 0, t*s + 5*u = -0*u + 58. Calculate the remainder when 75 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 23*t**2 + 23. Calculate y(-23).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 11) in base 3?\nAnswer: -120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181\/8976 - -1\/1496. Let x(w) be the second derivative of 1\/8*w**2 + 1\/80*w**5 + 21*w + 0 - f*w**4 - 1\/24*w**3. Find i, given that x(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -178779, -178777, -178775, -178773, -178771, -178769?\n\"Answer: 2*m - 178781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2383 + 1279. Let a = h + 2295. Suppose -a = 12*l + 129. Which is smaller: -109 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (47 - 46)*(1 - -2*2). Solve -y*o = -o - 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3465\/(-20))\/21*(-10)\/(-15)*(-2064)\/132.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 997.6 + -998. Which is bigger: 144 or g?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95644559 is divided by 132.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from maabbbg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 4 - (3 - -4). Let n = r + 7. Let c be (-2)\/n*(-285)\/10. Round c to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2 - 87*d + 285. What is s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 193.3 - 195. What is the nearest to 0 in h, -2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 111?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29.8 - -30. Sort -5\/2, g, 4, -4 in decreasing order.\nAnswer: 4, g, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 150 + 132 + 14*m**4 - 301 with respect to m.\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/9 (b) 27.66 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -15 + t**2 - 5\/2*t**3 + 0*t**4 - 21\/10*t**5 - t. What is the second derivative of s(r) wrt r?\nAnswer: -252*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*g - 21, 0*g - 4*g - 3*u + 17 = 0. Suppose 2*q + g = 6. Differentiate -1 - 3*y**3 + 7*y**2 - q*y**2 - 5*y**2 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.032 + -4.968. Let g = -3.92 - 0.08. What is the nearest to 0 in g, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 22*c + 4752. Let q = -180 - c. Put 4, -15, q in decreasing order.\nAnswer: 4, q, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -90, -92, -94, -96?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 2*i - 5. Let p be v(4). Suppose -4*n = -p*f + 12, 3*n - 16 = -7*f + 3*f. Solve -a + f = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4 = 4*q, -811*q = -4*b - 813*q - 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -13*t**2 + 187*t - 179. Give l(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -81*l**2 + 76*l + 12. Let d(g) = -162*g**2 + 139*g + 22. Give 6*d(o) - 11*n(o).\nAnswer: -81*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 358174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 - 6*h**4 - 5*h**4 + (2*h**2 - 2*h**2 + 2*h**3)*(-2*h + 4 - 4).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12670808 + -31192. Round k to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(2*u - 4*u + u)*(-2*u - 3 + 3) - 2*u**2 + 3*u**2 - 2*u**2 + (0 - 2 + 3)*(-3*u**2 + 4*u**2 - 2*u**2).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*g + 2*s + 10, -5*g + s + 11 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1637 = -26*c + 1951. Calculate the greatest common factor of c and 1587.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 4781\nAnswer: -28686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -10 - -1) + -30 + 27 + 0 + -67.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161957348?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*n - 4, -4*n - 14 = n - 3*y. Let p = 1050 + -1045. Sort p, n, 4.\nAnswer: n, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h - 6*h + 4*h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 22033527 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1149 - -2506. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in -0.3, -3, 0.13, -2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(180) + 1 + sqrt(180) - sqrt(180) - sqrt(180)))*-6)**2 + (5*(sqrt(180)*-1 + sqrt(180)))**2 + sqrt(180) + -1 + sqrt(180) + 2.\nAnswer: 12*sqrt(5) + 577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 2*a - 0*a - 26, -4*a = 4*i - 4. Suppose -i = 4*z - 4*d, 2*z = 4*d + d - 11. Solve 4*c - 4*g - 8 = 0, 5 = -z*g - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 0, u - 3*b + 10 = b. Let h be -63*15\/(-2)*u. Is 1\/(h\/(-471) - 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 660 and 0.16735.\nAnswer: 660.16735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73018.\nAnswer: 2, 11, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w**(-2\/15)*w)\/w*(w**(3\/2)*w*w)\/w)\/(w*((w**(-2)*w)\/w)\/w)**(-8) assuming w is positive.\nAnswer: w**(-349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 43. Put i, -2, 5, 1 in decreasing order.\nAnswer: 5, i, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:37 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.31 - 7.31. Suppose -o + 1 = -3*z - 12, z = -4*o + 13. Which is the closest to -1\/2? (a) -0.3 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**2 - 5*g**2 - 28*g**2)*(-1 + 2 - 3).\nAnswer: 56*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h + 58. Let c(w) = -7*w + 117. Calculate 3*c(l) - 5*d(l).\nAnswer: -l + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 17*r**2 + 18*r - 35. Give h(-15).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12201 = 438*w + 9179 - 23570 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -10*b**2 - 3*b - 3. Let j(z) = -60*z**2 - 17*z - 17. Determine -6*j(v) + 34*w(v).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 4*q**2 - q - 1. What is i(-3)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 g when three letters picked without replacement from {r: 1, g: 2, b: 1, n: 1, s: 2, j: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*c - 52614, -a + 3*c - 3129 + 29452 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -39. Let q be (-1 - -4)\/(-3) - i. Let t = -33 - q. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 43*v = 841. Suppose v*k = -16*k. Solve 4*n + k*n = 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/((2 + (-125)\/65 + 9263\/(-767))\/1).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/3389 or 1?\nAnswer: 12\/3389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119 - (96 + 30)) + (-2 - (-38 + 1))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65\/78*(-18)\/(-5). Solve -5*n + 4*t + 40 = 0, -4*n + 29 = -u*n - 5*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 2*h**2 + 3*h + 1. Let x be t(3). Let s(n) = n - 2. Let p be s(6). Suppose -3*l = p + 2. Sort -3, x, l in increasing order.\nAnswer: -3, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2102342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imf when three letters picked without replacement from ffmifefmiimff.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of h**6\/180 + h**5\/30 + h**4\/12 + 29*h**3\/3 - 25. Let u(d) be the third derivative of w(d). Let u(f) = 0. Calculate f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 272646 and 247.\nAnswer: 272893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247.4 times 3?\nAnswer: 12742.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 - 1) + 13 + 96 + -153 + 3?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004260149527 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let r(g) = -2*g**2 - 3*g - 2. Let h(o) = -2*i(o) + 2*r(o). Suppose 6*l = l + 65. Let t(a) = 9*a**2 + 4*a + 9. Determine l*h(y) + 6*t(y).\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1468719 and 1888353.\nAnswer: 13218471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 4*c + 5. Let p be g(-4). Suppose 440 = 5*r + p*h, r + h - 103 = -3*h. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 7 + 3 = 2*a, -6*a - 3 = 5*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 + -7. Suppose 6*l - 60 + p = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 2*d - 6. Let s be i(-4). Let v(o) be the third derivative of 5*o**s + 0 - 1\/60*o**5 + 0*o - 1\/24*o**4 + 1\/3*o**3. Determine v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 6*p - 9. Calculate x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 32 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 408970723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -1805\/6*n**3 - 95\/12*n**4 + 58*n**2 - 1\/12*n**5 + 0 + 0*n. Factor s(p).\nAnswer: -5*(p + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -25\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2. Let o(t) be the second derivative of t**3\/3 + 2*t**2 + 64*t. Give c(o(b)).\nAnswer: 4*b**2 + 16*b + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1678, -1668, -1656, -1642, -1626, -1608, -1588?\n\"Answer: w**2 + 7*w - 1686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/24 + 11*u**4\/12 + 24*u**2. Find the second derivative of o(g) wrt g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4908 and -22560529?\nAnswer: 22565437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 4*m**2 - 8*m - 3. Let c = -100 - -34. Let w = c - -83. Calculate the remainder when w is divided by i(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 2*p + 2. Let a(f) = 2*f**2 - 3*f - 3. Let d(r) = 2*a(r) + 3*i(r). Let c(o) = 19*o**2. Determine c(d(l)).\nAnswer: 19*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7979573?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 0 + 1\/5*x**5 + 0*x**4 + 0*x**3 + 24*x**2 + 0*x. Let b(a) = -10*a. Let p(q) = -7*q. Let l(z) = 5*b(z) - 7*p(z). Give w(l(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -4 + 1*-66. Let f be (-32)\/12 + 2 - 896\/(-12). Let z = f + j. Solve -k + z*i = -5, -5*i - 5 = -0*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2 + 2*v**3 + 3 - 4*v**3 + v**3. Let r = 52 + -48. Suppose 12*u = r*u - 40. Determine y(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11*y**2 + 5 - 3)*(y + 5*y + 2*y).\nAnswer: -88*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 - -136. Let n be p\/25 - 4\/(-10). Put 1, -5, n in ascending order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.93, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11688683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 97 - 67. Suppose 4*l = 6 + v. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.194 - 0.806. Let s = -332 + 1329\/4. What is the nearest to s in 4, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g + 5. Let n be m(18). Suppose -2*c + 435 = 5*y - 7*c, -n = -3*y - c. What is the remainder when y is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1902 is divided by 276.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19129282279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 10*f**3\/3 - 7*f**2\/2 - 10*f + 1. Let i(u) = 7 + 4*u - 4*u - 7*u**2 + 5*u. Give 7*i(l) + 5*z(l).\nAnswer: l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 10.975?\nAnswer: -0.2195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j + 7 - 7 + (5*j - 3*j - j - 2)*(3 + 0 - 1).\nAnswer: 6*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 271926 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-2 - (-2 + 3)) - -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3116 = 10*h - 3246 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26289 + 282212 = 33*d - 110179. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 x when three letters picked without replacement from xvxyxvyxyx?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2228066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*n - 31 = 0, -4*i - i = -n - 25. Let p be (i\/8)\/(((-7)\/(-24))\/(-7)). Let t = 12 - p. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + i = s - 328, -16 = 4*s. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*1)**2*6 - sqrt(27)*-5.\nAnswer: 18 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**4\/6 - b**3\/2 - 3*b**2. Let i(w) = -9*w + 7. Calculate 3*i(s) + 7*o(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808 plus -1751.495391?\nAnswer: -4559.495391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.308 - 4.618. Which is the closest to -2? (a) f (b) -0.5 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 317\/1134 - -1\/162. Let v = -1.2 - -7.2. Let k = 3 - v. Is s at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - y**2 - 1. Let z(s) = -s**3 - 4*s**2 - 3. Give -6*k(a) + 2*z(a).\nAnswer: 4*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -433193, -1728171, -3884939, -6903503, -10783869?\nAnswer: -15526043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/8 - a**2 + 31. Suppose -5*u + 0*u + 3*f - 7 = 0, 6 = -u - 4*f. Let t(s) = s**3 + s + 1. What is u*t(j) + h(j)?\nAnswer: -2*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -22453?\nAnswer: -22404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 9*q - 15. Let n be r(6). Let x = -4 + 13. Suppose -2*j + x = 3. Solve -n*c - 2*z = -2, j*z + 0*z = 4*c - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84186.\nAnswer: 2, 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 23*o + o**3 + o**3 + 34*o as b + r*o + u*o**3 + n*o**2 and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8170*d**2 - 8650*d**2 + 3955*d - 9975*d**2 + 30960*d**2 + 413*d wrt d.\nAnswer: 8330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88.36864 - 88.5. Round h to 3 decimal places.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - (-54)\/90*(1 + 4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 411701 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -36*q**3 + 21595000*q**2 - 3238490575812*q - 2878675352352 = 0.\nAnswer: -8\/9, 299931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -388*n + 116*n + 66*n - 282*n. Let s(c) = -2*c. Determine s(u(r)).\nAnswer: 976*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 13 = 47. Suppose 0 = 4*m - 5*z + 58, -z = 3*m + 2*z + 30. Let i = m + y. Calculate the lowest common multiple of i and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**4 - m**2 + 193*m**3 + 179*m**3 - 450*m**3 + 99 wrt m.\nAnswer: -96*m - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/3 - 2\/(-3). Let p(x) = -x - 4. Let g be p(r). Suppose 13*q - 67 + 15 = 0. Solve 0 = 3*v + t + 5 - q, 2*v = g*t + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/7 - 70*t**2 + 23038*t\/7 + 23530\/7 = 0.\nAnswer: -1, 65, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 - 0.75. Let w = 0.58 + y. What is the second biggest value in 3\/8, -3\/8, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -7. Let f = s + -7. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3603 and 705?\nAnswer: 846705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**3 + 16156214*u**2 - 13051169003173*u + 10440924862564 = 0.\nAnswer: 4\/5, 1615621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -56, -95, -138?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(500) + -1*sqrt(500))*3 + -2 + sqrt(500) + -2).\nAnswer: -8 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*x - 386*x + 600*x - 357*x - 133*x.\nAnswer: -486*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-16))\/(2\/72). What are the prime factors of (21\/14)\/(2\/12912*s)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -7. Find the second derivative of -7*y**3 - 10*y**x + 22*y**3 + y wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -154, 1\/5, 0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1699790762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 = -3*v + 5*v, 5*w - 110 = 2*v. Find the second derivative of 37*t - w*t - 11*t - 14*t + 57*t**5 wrt t.\nAnswer: 1140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31774156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -29 + 41 - (-14 + 4).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.755844 millilitres?\nAnswer: 0.003755844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + g + g, o + 3*g = 0. Suppose -3*w + 11 + 10 = o. Let p = w + 3. Solve -2*t - p = -5*x, -t = -4*x - 3*t - 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -131*h**2. Let m(c) = -7*c. Let g(i) = -29*i. Let n(u) = 3*g(u) - 12*m(u). Calculate k(n(d)).\nAnswer: -1179*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2*k - 6 = 0, 0*x - 23 = -5*x + k. Suppose x*i + 4*u = 7*i - 46399992, 0 = -4*i - 2*u + 92800004. What is i rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -0.741 in increasing order.\nAnswer: -0.741, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/11 - 282*i**2\/11 + 1764*i\/11.\nAnswer: -2*i*(i - 6)*(i + 147)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/((-96)\/(-40)) + 93\/18. What is the closest to z in -3, -2, 16, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5. Let b(h) be the second derivative of h + 1\/5*h**5 + v*h**4 + 0*h**3 - h**2 + 0. Differentiate b(p) with respect to p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 4. Let j be i(-6). What are the prime factors of 164\/j - (-4)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (658\/25662)\/(10\/32370)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*p - 3030, 4*d + 5*p - 636 = 3*d. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 1. Let j(v) = -v. Let q(c) = 12*c + 3. Let u(i) = 6*j(i) + q(i). Let r(p) = -4*l(p) + u(p). Find the first derivative of r(m) wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171722 or 171720?\nAnswer: 171720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/(-268))\/((5\/(-6))\/5).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(-1\/28)\/q)\/q*q**(1\/5)*q**(2\/7)*q*((q\/((q*q**(-2\/5)*q)\/q))\/q*q*q)\/q assuming q is positive.\nAnswer: q**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1071 + 1232. Is q at least as big as 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + h**2 + h. Let k(z) = -8*z**3 - 6*z**2 - 6*z - 9. Let r(f) = -6*d(f) - k(f). What is the derivative of r(n) wrt n?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 - (-48 - -39) - 33\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 228*w**2 - 146*w + 1448. Does 13 divide q(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, 10, 40, 86, 154, 250, 380, 550?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 6:50 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/15 and -2\/2955477?\nAnswer: 14777385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1150 - -0.4.\nAnswer: -1149.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136388 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9518 or -15939?\nAnswer: -15939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5572, 5921, 6680, 8053, 10244, 13457?\nAnswer: 17896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/3 - (28 - 46). Sort 5, h, -128 in increasing order.\nAnswer: -128, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 11790 = -10*w + 9*w, 2*m - 3*w = 11790. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1911251699 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4876, -2, 4.\nAnswer: -2, 0, 4, 4876","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*h**5 + 67*h**4 - h**2 - 6580*h wrt h?\nAnswer: -260*h**3 + 804*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 250870*i + 964770 wrt i?\nAnswer: 250870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 35*f**2 + 4*f + 8. Suppose 16 = -4*y, -h = h - 4*y + 2. Is x(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(3*i**3 + 31*i - 39*i - 5*i**3) to n*i**2 + x*i**3 + d + s*i and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 4, 19, 50, 103, 184, 299?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1774 (base 10) to base 3.\nAnswer: -2102201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8490 - -9165. What is the remainder when i is divided by 306?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 16*h + 3 = 0, -5*h - 24 + 54 + 40 = -5*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2241*c**3*l**2*o**3 + 2*c**3*l**2 - 2*c**2*l**2 + 148*c**2*o + c*l**2*o + l**2*o**3 wrt c.\nAnswer: 13446*l**2*o**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(5\/3)*k)**2\/(k**(-5\/2)*k**10) assuming k is positive.\nAnswer: k**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 476733 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 150\/1663499?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 304 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.039*0.0805\nAnswer: 0.0031395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115897, 115763, 115539, 115225, 114821, 114327, 113743?\n\"Answer: -45*y**2 + y + 115941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 102003 (base 4) to base 13\nAnswer: 6ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 2. What is the derivative of f*h**3 + 5 - 4*h**3 + 5*h**3 wrt h?\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and (-2)\/24*(2770\/(-140) - 1).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 26 - 15*n**2)*(-5 + 5 - 5)*(-2 + 2 + n).\nAnswer: 75*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-28) + 80\/(-14). Let r be (-22)\/v + 8\/6. Solve 1 = -x - 3*n + 6, 0 = x - r*n - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1133 (b) -2\/7 (c) 5 (d) -56.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.09? (a) -22 (b) -2 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-912)\/4914 - 62\/(-1953)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/1155*(25\/(-2))\/5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 174?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -4 + sqrt(26)\/sqrt(2) + sqrt(13) + -2)**2.\nAnswer: -48*sqrt(13) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) - (sqrt(500) - (sqrt(500) - (sqrt(500) + 2*sqrt(500) - sqrt(500)))))\/sqrt(10))\/(sqrt(10) + -4*(sqrt(10) - sqrt(30)\/sqrt(3)) + sqrt(10)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 133 times 0.69\nAnswer: 91.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 536758*f + 19858689. What is y(-37)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 14*c = 1094277 - 1094974 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + a1902?\nAnswer: a1902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d90 - 6?\nAnswer: -1d96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 52*b**2 - 5 - 110*b**2 + 59*b**2 as f*b + z*b**2 + s and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -592787.\nAnswer: -12\/592787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 + 2*n + 2. Let q be (12\/(-10))\/((-12)\/40). Let u be w(q). Suppose 5*f = 3*f + u. Which is the smallest value? (a) f (b) 11 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-12)\/(-8))*(-2)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 - x**2 - 5. Let m(j) = 26*j**3 + 8*j**2 + 34. Determine 20*f(n) + 3*m(n).\nAnswer: -2*n**3 + 4*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b = -b - 130. Let g(y) = y**3 - 16*y**2 + 60*y - 8. Let x be g(b). What is the third biggest value in 1\/5, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -1106*i**5\/5 + 4*i**3\/3 - 570*i**2 - 7593. Find the second derivative of w(g) wrt g.\nAnswer: -13272*g**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21628748 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: Solve -3740 = 528*i - 748*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*d**2*m + 11*d + 111*m wrt d?\nAnswer: 24*d*m + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**3 + 3153*a**2 - 3153*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5145*r - 92658. Calculate d(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**3 + s**2 - 3*s + 2. Let q be n(1). Let v(c) = -7*c - 1. Calculate v(q).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 2040.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497 = 871927*a - 871934*a for a.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/16))\/(k\/(k**(13\/5)*k)))\/(k**1\/k**(-2\/15)) assuming k is positive.\nAnswer: k**(577\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 + 116112*p**4 + 1123267464*p**3 - 4494463296*p**2 + 4494927792*p = 0.\nAnswer: -19354, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 27*h**3 - h**2 - 2*h - 1. Let v be f(-1). Let l = -18 - v. Solve 3 = -q + 5*z + l, -22 = 4*q + 3*z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 12*r**2 - 2*r - 15. Calculate z(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 15. Suppose -j - 8 = -6. Let v be (-4 - -4)*(j + 1). What is the tens digit of d(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216850.\nAnswer: 2, 3, 5, 14779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -76\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 114 + 41?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6448c + c8?\nAnswer: -643a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 555633.3 millennia?\nAnswer: 55563330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(245))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.14 (b) 1\/11 (c) 4.3 (d) -2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 5*g**8\/28 - g**7\/21 - 61*g**4\/12 + 7*g. Find the third derivative of m(j) wrt j.\nAnswer: 1200*j**3 - 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 - 2*o**2 + o + 3. Let i(r) = 3*r - 109*r**3 - 3*r - r**2 + 108*r**3 + 1. What is 3*i(z) - n(z)?\nAnswer: -z**3 - z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - d**2 - 16*d - 34*d - 6*d.\nAnswer: -d**2 - 58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28110\/7 - 4014. Suppose g + 48\/7*m**2 - 24\/7*m**3 - 40\/7*m + 4\/7*m**4 = 0. Calculate m.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, 0 in ascending order.\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 44*k - 17. Let d(f) = -30*f + 12. Let m(z) = -7*d(z) - 5*n(z). Let i(p) = -p. Let t be (-63)\/(-378) - 5\/(-6). Give t*m(g) - 4*i(g).\nAnswer: -6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 3*y. Suppose -2*j - 12 = j. Let n be (-198)\/45 + j\/(-10). Sort y, n, -1.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 85.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10953 is divided by 387.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 5*g - 2*g + (0 - 1 - 3)*(-2*g - g + g) - g - 3*g + 2*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 55778 and 20?\nAnswer: 557780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4029 and 2193?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 4, b: 2, g: 1, k: 2}. What is prob of picking 3 t?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2682*n - 260066. Determine p(-97).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5500539 is divided by 7228.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15233072 to the nearest one hundred thousand.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 194 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/((-12 + 13)*2). Solve -5*j + 5 = a, 0 = t*a + j + 2*j + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*n = -0*w - 5494 + 5397, 119 = -16*w + 3*n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*o + 1078 = 65*o. Let d(u) = 24*u - 179. Give d(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 2:00 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - ((2 - 3) + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + m**2 - 4*m + 2. Give s(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18532 is divided by 567.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d*x - 346529027*d + 420908226*x wrt d.\nAnswer: 2*x - 346529027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -0.4, 2, -2, -49?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1954557596 to the nearest integer?\nAnswer: 44210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -975, -3 in descending order.\nAnswer: -1, -3, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5560507247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 116181*p - 3833975. Determine r(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/13 - 748*v\/13 - 61134\/13.\nAnswer: 2*(v - 443)*(v + 69)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**5 + 28115*w**4 + 1072890*w**3 + 15267690*w**2 + 96253515*w + 226977795 = 0.\nAnswer: -11, -9, 5661","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 152*v - 432.\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*y = t - 2, t - y = 4. Solve 2*w**2 + 3*w + w + w**t + 2*w**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11891039 is divided by 273?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -39. Let g = 10.99979 - y. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -12. Let h(x) = x**3 - 6*x**2 + 8. Is 6 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 6 = -2*s. Suppose 4*a - a - 9 = 0. Let i(b) = -3*b + 6*b - a*b - 6 + b. Calculate i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:18 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.878 - -2610.1.\nAnswer: 2610.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 634, -858 in ascending order.\nAnswer: -858, -1, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29745 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 153\/1169 + 2\/167. Suppose 6 = -3*a - 3*l, 2*a = -5*l + 48 - 58. Solve 0 + 0*p - n*p**2 + a*p**3 + 1\/7*p**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -419, -254 in ascending order.\nAnswer: -419, -254, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -861 + 885. Is f bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12827447, -12827487, -12827525, -12827561, -12827595, -12827627?\nAnswer: -12827657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v + 10. Suppose -3*q = -q - v, 3*j + 4*q - 4 = 0. Solve j = 4*d + 13 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050 + 3086 - 6077 + 0*k - k.\nAnswer: -k + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*s**2 + 1112644 - 1112644 + s as r*s + f*s**2 + q and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -23. Suppose -4*v + d = -16. What is the highest common divisor of v and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/((h**10\/h)\/h*h))\/h*h)\/h**(-5\/4))**(-9))**(-2\/13) assuming h is positive.\nAnswer: h**(-243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 12248805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002727526 rounded to 6 dps?\nAnswer: -0.002728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -7*w**4\/12 + 11*w**3\/6 + 12*w. What is the second derivative of f(z) wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(3 + -6*(sqrt(18) + 4)**2)*-2.\nAnswer: 402 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 98. Let d = m - 70. Which is the closest to d? (a) -0.1 (b) 1\/6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126*906.\nAnswer: -114.156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -22. Suppose -l + r*l + 115 = -5*n, 3*n - 15 = 0. Let s = l - -70. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 8.7. Let n = 8 + -8.3. What is the closest to o in 2, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66526236?\nAnswer: 2, 3, 7, 17, 53, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Let m = 31 - 76. Let u be (-8)\/(-3)*m\/(-60). Solve -3*d - u*d + 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -524, -8903 in increasing order.\nAnswer: -8903, -524, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*b**3 - 43 + 9*b**3 - 18*b**3 in the form u*b + q*b**2 + a*b**3 + p and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93.79 - -93.49. Let l = 4.6 - 5. Let y(i) = i**3 + 8*i**2 + 11*i - 3. Let w be y(-6). Sort f, -3, w, l in increasing order.\nAnswer: -3, l, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87229560 and 29076520.\nAnswer: 87229560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/6 - o**3\/3 + o**2 + o. Let t = 125 - 113. Let f be (t\/6)\/(1\/(-2)). Let i(z) = -z**2 - 1. What is f*i(w) - n(w)?\nAnswer: 2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.01 (b) 0 (c) -0.03 (d) -0.06 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 + -18. Let z = 510 - 507. Which is the nearest to 0.1? (a) -2\/3 (b) z (c) s (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 151, 598, 1473, 2920, 5083, 8106?\nAnswer: 12133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4074 - 147 - 1728 + 3*b - 6*b + 2*b.\nAnswer: -b - 5949","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1.9491 times -4\nAnswer: 7.7964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -75 + 64 + -35.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4400, -4399, -4398, -4397, -4396?\n\"Answer: v - 4401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24178026 and 16.\nAnswer: 193424208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 0*i**5 + 0*i**4 - 4*i**2 + 0 - 1\/15*i**6 + 7*i + 0*i**3. Differentiate h(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(48) - (sqrt(27)\/(sqrt(9)*3))**2.\nAnswer: 5\/3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16162589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1551382 is divided by 474.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*m**3 - 47*m**2 + 7*m + 193*m**3 + 49*m**2 to x*m**2 + d*m**3 + b*m + h and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, 3.5, 117, -1?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 10*t - 7. Let d be i(-10). Let r be (-1*1)\/(1\/d). Suppose 5*c - r = 13. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52585 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: Evaluate (86674\/3171)\/(2\/3).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207838 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136876 and 988?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43728*d*q**3*w**2 - 357*d*q**3*w + 2*d*q**3 + d*q**2*w - 13*d*w + q**3*w wrt w?\nAnswer: -87456*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7050 and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -4 + -4 + 1 - (1 + 6*(-2 + sqrt(405))))*5*-3)**2.\nAnswer: -81000*sqrt(5) + 2281725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/35*14\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/(-1674))\/((2 + -4)\/(24\/(-15)))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m + 25*m - 13*m - 6*m + 67 + m**2 - 9*m. Let q be d(7). Solve -q*k = -26*k + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2550*j*s + 5*j + s**4 + s**3 + 151 wrt s?\nAnswer: -2550*j + 4*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 3*y + 6*y**2 + 1 - 3 + 4. Let a(j) = j**3 + 5*j**2 - 3*j + 2. Let i be (-128)\/(-1216) + 232\/(-38). Determine i*a(m) + 5*k(m).\nAnswer: -m**3 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 93 + 232)*(9*v + 0*v - 2*v).\nAnswer: 1302*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 54*s**2 - 8*s + 8. Let y(k) = -36*k**2 + 5*k - 5. Calculate 5*l(t) + 8*y(t).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-6)*2\/1. Let u = r - -5. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.106 + -0.006. Let s = 2 - 1. What is the closest to s in 1\/16, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 0, 0.5, -4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -293, 0.4, -0.01, -3, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -67 and 10.80216.\nAnswer: -56.19784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 0. Let v be (-63)\/84*p\/(-3). Factor 1\/3*q + 0 - 1\/6*q**v.\nAnswer: -q*(q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93851719.\nAnswer: 13, 751, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(1573) + 1*sqrt(1573) + -4 + 1 + sqrt(1573) + 2 + sqrt(1573)))**2.\nAnswer: 792*sqrt(13) + 226521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 127 - 146. Let z be (9 + y)\/((-6)\/3). Solve 2*h + 5*r - 28 = 0, z*r - 24 - 16 = -5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 + 188679872*f + 4450011762242048 = 0. Calculate f.\nAnswer: -47169968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118710.\nAnswer: 2, 3, 5, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 10. Let k be q(0). Suppose 2*d - 25 = -5*y, -d - 2*y = 3*y - k. What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65))*3)\/(sqrt(80) - (sqrt(80) + sqrt(80)*-1*-6)).\nAnswer: sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/297150 and 1\/178290?\nAnswer: 891450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-189)\/18)\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) + 292\/(-10) + 3. Calculate the common denominator of (-180)\/h - (3 - 0) and -37\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7749686?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzezzzzzzepzz. Give prob of sequence zez.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68412439?\nAnswer: 68412439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 253, 252, 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + sqrt(12)\/sqrt(4)) + -5.\nAnswer: -6*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 366.6?\nAnswer: 372.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((4\/24)\/((-10)\/(-12)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than or equal to 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n - 4*n + 1 + n**4 + 5*n as q + f*n**4 + x*n**2 + c*n + h*n**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z + 4. Calculate the smallest common multiple of i(-7) and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 62639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let x = 3 - w. Suppose g - 4 + 2 = -f, -8 = g - 4*f. Solve x = -u - g*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 7 - 2*i**4 - 31*i**3 + i**2 - 13 + i + 4 in the form b + z*i + x*i**3 + v*i**2 + o*i**4 and give x.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2 = 1, 3*b = 5*r + 14. Let c = -2624 + 2624. Suppose -2\/5*u**5 + 4\/5*u + c + 6\/5*u**2 - 2\/5*u**b - 6\/5*u**4 = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1058)\/(-12) + (-9)\/(-6). Which is bigger: f or 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 19*r**2 - 10*r - 96. Let i be a(-19). Let p = i + -1220\/13. Let 20\/13*o + 50\/13 + p*o**2 = 0. Calculate o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2144400 (base 5) to base 2.\nAnswer: 1001001001100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3332733 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 - j**2 + 0*j**2)*(-2*j**2 - j + j)*(1 - 3 - 1 + (-1 + 1 - 1)*(0 - 3 + 5) + 1 - 4 + 4).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 + 104*i**2 - 10*i + 844. Give o(-35).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 10*a - 2*a**3 - 5*a + (-7*a - 5*a - 17 + 11*a)*(a**2 + 0*a**2 + 0*a**2) in the form r*a**2 + f + v*a**3 + i*a and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002414mm in meters?\nAnswer: 0.0000002414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1587, 2556, 3525, 4494?\nAnswer: 5463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 240273728 to the power of 1\/2, to the nearest integer?\nAnswer: 15501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (-6)\/(-1) + -2. Let v be (-4 - -2)\/(-2)*b. Factor 1 + l + l - l**2 + 2*l**v.\nAnswer: (l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + 5*p + 8, 2*p = -3*s - s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4\/3))**(-1\/34)*(i**5*i)**(-22))**(-17) assuming i is positive.\nAnswer: i**(6730\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40122432514 + -1?\nAnswer: 40122432513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -30, -74, -138, -222?\n\"Answer: -10*r**2 + 6*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 180.93. Is 0.2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -7039\nAnswer: -7039.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 16 = -g, 0 = g - 5*r + 19. What is the closest to 2\/7 in g, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**5\/20 - l**4\/4 - 4*l**3\/3 + 7*l**2\/2 + 2*l. Let w be g(5). Let y = w - 7. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -40413214?\nAnswer: 40413232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -49 + 177*t - 177*t + 2*t**4 + (-12 - 28*t + 12)*(5*t**3 - 6*t**3 + 12*t**3).\nAnswer: -306*t**4 - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1)*(-2)\/(-18). Suppose -4*a - 8 = 4*j, 2*j + 4 = -8*a + 10*a. Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 91.31118 (c) -4 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.865159 centuries in decades?\nAnswer: 98.65159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 278.191734 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6443 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 44918*v - 853277. What is y(19)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(2\/7)*q)*q))\/q*q*q**(1\/4)*(q**1\/q)**(20\/11) assuming q is positive.\nAnswer: q**(15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v + 4. Suppose -5 = g + s, 5*s = -7*g + 3*g - 20. Let m(y) = 7*y - 5. Let k(r) = g*f(r) - 4*m(r). Let o(z) = -z**2. Determine o(k(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 8. Let w(f) = 3*f - 23. Give -4*w(b) - 11*z(b).\nAnswer: -b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 499932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7440)\/(-86580) - ((-11)\/(11\/2))\/((-78)\/3)?\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.66 - -30.34. Let t = -18 + p. Let h = t + -9. Which is the second biggest value? (a) 0 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143001 is divided by 39.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5414 + -3824. What are the prime factors of n?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34959096 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 22 - 14 - 24 - 38*r - 12 as b + n*r and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4 + 2*h - 7*h**4 + 5*h**4 - 5*h wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/44 and -63\/160.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1728) + (sqrt(243) + (4 + 1 + sqrt(243) - sqrt(243)))**2.\nAnswer: 138*sqrt(3) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 4*q**2 - 7*q + 2. Determine s(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3 + 5*h + 0*h**2 + 3\/2*h**3. Let t(l) = 8*l. Determine i(t(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -601483.\nAnswer: 3\/601483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4 - 94626*b**3 + 946058*b**2 + 94626*b - 946060 = 0.\nAnswer: -1, 1, 10, 47303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 4. Let s(t) = 5. Let f(k) = 5*i(k) + 4*s(k). Let c(x) be the second derivative of x**4\/12 + x - 121. Determine f(c(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 32? (a) -471 (b) -2 (c) 1\/3 (d) 3 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 218, 806, 1766, 3080, 4730, 6698, 8966?\n\"Answer: -3*g**3 + 204*g**2 - 3*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000805791933 rounded to six decimal places?\nAnswer: 0.000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4 = -4*j. Let v(f) = 200001*f - 1. Let u be v(j). What is u rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 19. Let w be l(-11). Let f(g) = 4*g + 5. What is the units digit of f(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9149011 - 9149011.25000015. Let n = -0.25 - t. Round n to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/20 - 3*f**2. Let s(r) be the first derivative of -r**2\/2 + 1. Determine s(o(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**3\/6 - 168*c. Let n(y) = -2*y**2 + 368*y. Determine p(n(i)).\nAnswer: 2*i**2 - 368*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in -10, 4\/3, -5\/6, -7?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, 2\/7, 14, -1\/6, -0.05, 4 in descending order.\nAnswer: 14, 4, 2\/7, 0.13, -0.05, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57442 * 12187.\nAnswer: 700045654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - -3. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 1 - (-3 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 847.1246 - 849.5. Round w to two decimal places.\nAnswer: -2.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 34125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 36 = i. Let n be (-40)\/(-6)*i\/4. Suppose o - 3*y - 173 = -110, 5*y - 95 = -o. Calculate the highest common factor of o and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 20 = 12*y - 10*y, 0 = -2*a - 4 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/4 + 77*j**3\/2 - 643*j**2\/4 - 436*j - 237.\nAnswer: (j - 6)*(j + 1)**2*(j + 158)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.98657 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*h - 490767, 5*h - 2*i - 490768 = 3*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -8*u + 8. Let j be k(-21). What is the lowest common multiple of 6 and -2 - (-3)\/2*j\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlafbln. What is prob of picking 1 l, 1 a, and 1 f?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000674 to 5 decimal places.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15\/4, 4, -370, -0.024, -0.027?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -1. Let x be ((-2)\/r)\/((-2)\/10*-1). Solve 2 = -x*u + o - 4*o, 4*u + 2 = -2*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -28*n**3 - 74*n**2 + 5*n. Let d(l) = 14*l**3 + 37*l**2 - 3*l. Let i(t) = -3*a(t) - 5*d(t). Find the third derivative of i(z) wrt z.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78582878 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 243 (c) -1\/2 (d) 2024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49*i**2 - 14*i + 3143 wrt i?\nAnswer: -98*i - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 106035*r + 2120698. Determine m(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/1*(-1)\/2*-2. Sort 18, -5, g, -4 in descending order.\nAnswer: 18, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flf when three letters picked without replacement from flffflfllffflllfll?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 658724 + -593?\nAnswer: 658131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + l + l + 1 - 1 - l + (0 + 3 - 4)*(1 - 1 + l) + 5424 - 5424 - 58*l)*(-2 + 4 - 11).\nAnswer: 549*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/2 + 2*k**2 + k + 17. Let w(q) = -q**3 - 5*q - 2. Let b(t) = 4*d(t) + 5*w(t). Determine f, given that b(f) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 4*q**2 - 2*q + 1. Let s be 120\/(-160) + (-1)\/4. Let m be b(s). Let o(p) = -p**3 + 3*p**2 - 2*p + 1. Give o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 2415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -18. Suppose -l*s + 200 = -s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**3 + 2*q**3 - q**3 + (2*q**2 + 2*q - 2*q)*(-524 + 524 - 83*q).\nAnswer: -168*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325*g**4 - 607435*g**3 + 13264065*g**2 - 73040825*g + 2234870 = 0. What is g?\nAnswer: 2\/65, 11, 1847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (79 + -56)*(1 - 0). Suppose u*b = -256 + 1406. Calculate the greatest common factor of b and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*n - 56*n - 90 = 0. Find the second derivative of -17*u + n*u - 11 - 19*u**2 + 19*u**2 - 39*u**3 wrt u.\nAnswer: -234*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8903 or 8905?\nAnswer: 8903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(41 + 299*i - 441 - 298*i) in the form p*i + v and give v.\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 3024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + 1 + -2 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762053727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 16 = -2*g, -5*g + 23*j - 2 = 20*j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 33*k**2 - 33*k - 2399. Calculate d(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2233 (base 4) to base 7\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.8329107.\nAnswer: -0.41645535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2800 - 4?\nAnswer: -2804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzs when three letters picked without replacement from kkzzzzmmzsmzkzszmzz?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179845968?\nAnswer: 2, 3, 3746791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5 - 108979*l**4 - 108981*l**3 + 108979*l**2 + 108980*l = 0.\nAnswer: -1, 0, 1, 108980","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by ((1 + 8)*-1)\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2726\/3 - -2836\/3. Let x = 9866\/37 + -178918\/777. Let w = x - z. Which is greater: -2\/3 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 142, 0.2, 65, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 12) to base 13\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 2, m: 1, r: 2, v: 1}. Give prob of picking 2 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 862, -0.1, -841, -0.3.\nAnswer: -841, -0.3, -0.1, 862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/15)\/((-5)\/(2000\/(-72)))*6\/2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2\/3 + 14214*g + 170472 = 0 for g.\nAnswer: -21309, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 140\/25 - (-36)\/5) + -7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5826 - -7245. Calculate the highest common factor of 15 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*1 + sqrt(119) + sqrt(119))*6 - sqrt(119)*2*2)\/((-4*(sqrt(84) + -2*sqrt(84) + sqrt(84) + sqrt(84)))\/(sqrt(96)\/(sqrt(8)*1))).\nAnswer: -7*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c32 - 59b?\nAnswer: -12cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 223091932 and 17.95.\nAnswer: 223091949.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + b - 5. Let j(g) = 7*g**2 - 2*g + 13. What is -3*j(l) - 5*y(l)?\nAnswer: -6*l**2 + l - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 66 = 2*c - 2*q, -143 = -3*c - 5*q. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099\/27 less than or equal to 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/1479 and -127\/44370.\nAnswer: 44370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6069053\/6 or -1011510?\nAnswer: -6069053\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2268\/(-4374)*9\/63\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000237031602 rounded to 7 dps?\nAnswer: -0.000237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o = -70*o - 34 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j**3 - 126*j**2 - 50*j + 637. Calculate i(18).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68996*k - 58875 with respect to k.\nAnswer: -68996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305512438.\nAnswer: 2, 7, 11, 19, 193, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 u when four letters picked without replacement from {u: 3, a: 1, r: 2, l: 3, p: 2, t: 7}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 10 = 0, -5*x + 0*x - 3 = -3*g - 5 - 3 + 43 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3322 - 3297. Solve -5*f + m = z, z + 6*f - 4*f - 13 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a**3 - 50*a**2 + 50*a**2 + (-1 - 1 + 1)*(2*a**3 + 2 - 2) - 7*a**3 + 3*a**3 + 3*a**3.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = i - 1025, 0*i = 3*i + 9. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + 49*v - 14*v + 12*v.\nAnswer: 67*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - p**2 + 5. Suppose -4*f + 5*t = -20, -12 = 2*f + 5*t + 8. What is j(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137452471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101133077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 150526039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**(-5)\/j))\/j)*j*j)\/j*j)**(-22)\/((j**15*j)\/(j\/(j**(-5\/3)*j))) assuming j is positive.\nAnswer: j**(221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 70 - 386. Suppose 0*v - 2*v + m + u = 0, m = -4*v + 444. Does 28 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11056 + -11055. Which is the nearest to -2\/3? (a) f (b) 16 (c) -1\/6 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5545 divide 2603428472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 793334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2eac5 (base 15) in base 14?\nAnswer: -3d011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44425 or 44426?\nAnswer: 44425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*d**2 - 88 - 85 + 172 + 2*d + 3*d**2 - 3*d**2 - 3*d**2 - 2*d**2 - d**2 + 5*d**2 + (0 + 4 - 5)*(-2*d**2 + 0*d**2 + d**2) - 30 - 7*d**2 + 30.\nAnswer: -14*d**2 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.8 rounded to the nearest ten?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 26 (c) -4\/3 (d) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 12 - 0. Suppose 0 = y - 2, -p*y + 61 = 3*a + 2*y. List the prime factors of a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert bf (base 16) to base 9.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 119 + -130. Let k(z) be the first derivative of z**3\/3 + 4*z**2 - 4*z + 2. What is the tens digit of k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3*(sqrt(132) - (sqrt(132) + sqrt(132)*1)) + sqrt(132) + sqrt(132))\/(4*sqrt(432)).\nAnswer: -5 + 5*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 8*f - 8. Let n be y(9). Suppose 2*t = 8, w + 3*w + 3*t = 20. Solve h = -w - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 0)**2 + sqrt(208)*1.\nAnswer: 4*sqrt(13) + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.712491 take away -0.061?\nAnswer: 2.773491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/20 - 66\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/(-20)*(-35)\/(1680\/(-64))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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 are the prime factors of 1664?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20*p = -15*p + 80, -j = -5*p - 12. Calculate the remainder when 815 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 63*y**2 + 73*y - 580. Determine o(64).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-100)\/(-8)*12\/15 + (-56)\/6. Determine v so that -f*v**2 - 10\/3*v + 4 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1)**2 - (3*-2*sqrt(5) + sqrt(5)).\nAnswer: 5*sqrt(5) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -180.332 + 180. Let q = n + 0.331999358. Round q to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1776 - -804. Suppose -2*f - 5*n + 55 = -977, -5*f - 5*n + m = 0. What are the prime factors of f?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79917 and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 179, 271, 365, 461, 559?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 22*k**2 - 61*k + 71. Let y be t(19). Which is the smallest value? (a) 0.14 (b) -2 (c) -0.2 (d) -38 (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 - 48. Let g = -61 + o. Which is the nearest to 2\/5? (a) -4 (b) -3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0 - 22. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 12.13.\nAnswer: -5.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228581*d - 33 = 3*b - 228579*d, 5*b - 15*d = 330 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**3 - 5*n**2 - 22. List the prime factors of h(-6).\nAnswer: 2, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*m - 18*m**5 + 10*m**5 + 3*m wrt m?\nAnswer: -160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3902 and -4.\nAnswer: -1.5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyryj. What is prob of sequence hyr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -2\/17 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 15*r - 25. Suppose 0 = 3*x - 4*x + 1. Solve 4*d + 3*y + r = 0, 0*d + 3*y = -2*d - x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 - 0. Let u(n) = -5*n - 17. Let y be u(-4). Sort c, 2\/3, y in ascending order.\nAnswer: c, 2\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:33 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 214094302.5 rounded to the nearest one million?\nAnswer: 214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**6\/840 - 3*k**5\/280 + k**4\/14 + 16*k**3\/3 + 26. Let q(u) be the third derivative of g(u). Factor q(r).\nAnswer: -3*(r - 1)*(r + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 7. Let w(r) = 22*r**2 + 32*r + 10. Let a(g) = -9*g**2 - 13*g - 4. Let x(j) = y*a(j) + 5*w(j). Determine v so that x(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (11 + -16 + 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 27*x = -p - 3, 3*p = -2*x + 15. Suppose t = 4*c + 60, 0 = t + x*c - 45 + 6. Is t < 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 1:39 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 184 (base 11) to base 14.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 44. Let h be 120\/l*(-95)\/(-4). Is h < 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5*t = -25, 12*u = 11*u + 3*t + 7. Solve -2*n = -2*o - 14, u*o - 5*n + 0*n = -33 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Let u be 7\/((-21)\/(-927)) + -1. Let l be 4\/(-28) - (-100)\/u. Put l, t, -0.1 in increasing order.\nAnswer: -0.1, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412479335 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - t - 4 = 0. Suppose 4*o + 10 = 6*o. Let a = o + t. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 444*h - 1322. Give x(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -16*j. Let d = -5505 - -5511. What is i(d)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 8:54 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-30) + 2 + (-20)\/(-100). Suppose d + d = 10. Suppose -d*u + 5 = k, 0 = -5*k - f*u + 4 - 1. Solve -4*a = 4*q + 24, k = -5*q - 0*q - a - 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((1 - 3) + (-4 - -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42.91 + 42.910011674. What is c rounded to 7 decimal places?\nAnswer: 0.0000117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + (-6 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 814539.7ns?\nAnswer: 0.0008145397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + (1 + sqrt(1100))**2).\nAnswer: -6576 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28608*j**3*n**2 - 3*j**3*n - 532*j**3 - 2*j*n + n wrt n.\nAnswer: 57216*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71778.33 hours in milliseconds?\nAnswer: 258401988000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -32, 1, -12, 4, -4 in descending order.\nAnswer: 4, 1, -4, -12, -32, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27125, 54228, 81331, 108434, 135537?\nAnswer: 162640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyjyjyyyyyjyyyy. What is prob of sequence jyy?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/12*20\/15. Let k = 0.47 - 0.97. Which is the smallest value? (a) n (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -10. Is 12 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 e, and 1 z when four letters picked without replacement from {m: 1, e: 2, h: 4, u: 3, z: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -606296*f*o**2 + 282441*o**2 wrt f?\nAnswer: -606296*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**2 - 23*x - 2. Calculate b(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(27)\/sqrt(3)))\/(sqrt(20)\/sqrt(64) - sqrt(5)) - -5*sqrt(147)*-1*-4) + 2.\nAnswer: 2 + 416*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dedeteededeee. Give prob of sequence ete.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -2*c**2 + 0 + 0*c + 1\/24*c**4 - 1\/6*c**3. Let n(h) = 5*h - 4. Let y(p) = 4*f(p) - n(p). Let b(j) = -j**2. Calculate y(b(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477085476.\nAnswer: 2, 61, 2081, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7127 - -0.712700296. What is d rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {k: 2, d: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3629 is divided by 200?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-14 - (-12 - 0))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 - 437.6814272\nAnswer: -438.1114272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 860 and 1290.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of n**7\/1050 + 7*n**6\/20 + 10813*n**5\/300 - 371*n**4\/2 + 5618*n**3\/15 + 2*n**2 - 30. Factor o(c).\nAnswer: (c - 1)**2*(c + 106)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2. Let f(l) be the third derivative of 7*l**4\/12 + 29*l**3\/6 - 2*l**2 - 918. Give f(r(w)).\nAnswer: -42*w**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 72, 119, 168, 219, 272, 327, 384?\n\"Answer: k**2 + 44*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + 3 + 1*(((sqrt(637) + 1)*3)**2 - (-2*sqrt(637)*5)**2)).\nAnswer: -756*sqrt(13) + 347742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**4*g)\/g**(3\/8)*(g*g*g*g*(g\/(g\/g**(-1\/4))*g)\/g*g)**48)\/(g**(-4)*g**5*(((g\/(g\/g**(-1\/2)*g))\/g)\/g)**(-1\/29)) assuming g is positive.\nAnswer: g**(53941\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 4. Let d be 0\/(5 + (1 - 4)). Suppose d = 3*c + 2*t - 14, -4 = -c + t - 1. Solve 32 = -7*i + 4*i - 5*v, c*i + z*v = -28 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 458 = -423 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82 - 58. Suppose 0*o - q = -2*o. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*x - 588890, -4*x + k = -1609619 + 431839. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -115 + -20b?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*z + 21*z = -165. Suppose 56*a - 19 = z*a. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 183.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 670.159 and 0.02.\nAnswer: 13.40318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 12*r - 54. Calculate the greatest common divisor of r and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 1, r: 2, g: 2, p: 8, u: 2}. Give prob of sequence upu.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + -7 - (-1 + 3). Let s be (-3)\/(m\/4 + 1). Solve 7 = s*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245251 = -57*o + 950332. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/1)\/(2\/14). Suppose f - 3 = -4*w. What is the units digit of w*(0\/(-3) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 (base 7) in base 4?\nAnswer: 22212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 6. Let u be a(-2). Suppose -5*p + 4*d = -36, 2*p + 3*d = -0*p - u. Solve -1 + p = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (3 - 21) + 11 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3471 and 502761.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 9:52 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 3*q - 195. Suppose 4*m = 7 + 5. Let h be -65*4\/(-30)*m. What is the highest common factor of h and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -6. Let n = i + -7. Let w(x) = -x**3 + 9*x**2 - 7*x - 6. Let v be w(8). Which is the nearest to 2? (a) v (b) 1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + (1 - (-1 + 2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + s - 12, 2*s = -8*p + 3*p + 63. Let l(r) = r - 3. Let i be l(-4). Let a = p + i. Solve -1 = 4*y + 3*h, h - 3*h = 4*y + a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 12*z**2 - 9*z.\nAnswer: -3*z*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 7 - 3) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*q**3 - 114*q**3 - 18*q**4 + (0*q - q - q)*(-2*q**3 + q**3 + 3*q**3) as f*q + b + g*q**3 + n*q**4 + o*q**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 3*p + 4*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-4\/43))**(-47) assuming i is positive.\nAnswer: i**(188\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 254 + -240 - (6 + 11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 10*w - 12. What is the units digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 0*f**3 + f**3)*(-2 - f + 2)*(-3 + 5 - 3).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**2 + 0*b**4 + 0*b**5 + 0*b**3 - 4 + 0*b + 1\/6*b**6. Find the second derivative of d(j) wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -79 (c) 0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*s + 122 + 70 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((17076\/10)\/3)\/(676\/10140).\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51698003 divided by 19.\nAnswer: 51698003\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**(-3\/4)))\/(l*((l*l*l**(2\/7)*l)\/l)\/l))**(-2\/3)*(l**0)**28*(l**(2\/7)*l)**(-12\/13) assuming l is positive.\nAnswer: l**(-89\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nd when two letters picked without replacement from ddddddddddddddddndd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -21. Let g = 33 - 32. Put -4, b, g in decreasing order.\nAnswer: g, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1\/5))\/(g**(3\/5)*g) assuming g is positive.\nAnswer: g**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/90 and -115\/120688428.\nAnswer: 1810326420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - ((sqrt(132) + -1*sqrt(132))*5 - sqrt(132)))\/(sqrt(12)*-1*2 - sqrt(12)) - (sqrt(99) + 5*1*sqrt(99))\/(-3*sqrt(225)).\nAnswer: -4*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*b**3 + 86 + 74 - 160.\nAnswer: 652*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-4\/3)*a*a*a)\/a*a)*a*a*a)**(-1\/14) assuming a is positive.\nAnswer: a**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Suppose 5*s + 3*m = 23, y*s = -s + 4*m. Let h be 3 - 54\/15 - 0. What is the smallest value in h, s, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1233400, -1233410, -1233442, -1233508, -1233620, -1233790?\n\"Answer: -2*f**3 + f**2 + f - 1233400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5841\/67445 + 19\/205. Let o = -339\/1645 + p. Which is the third smallest value? (a) -1\/4 (b) -4\/35 (c) 0.3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154762?\nAnswer: 2, 223, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6363900 divided by 47140\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {l: 6, d: 10, k: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 2*t, 3*d - 8*d = -5*t + 15. Which is smaller: t or 7\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from ufppupppfpppfppd.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/14)\/5*(-484)\/(-121).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 6:39 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/17*1\/(-3)*((-170)\/(-1))\/34\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1738\/123? (a) 3 (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 26*o + 19. Let x(y) = -13*y - 9. Let s(b) = -3*l(b) - 7*x(b). Let t be s(6). Suppose 0 = -g + 25 + t. List the prime factors of g.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 4) in base 8?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60.999919 + -61. What is b rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17287 is divided by 8636.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*h - 5 = -3*j, 2*j + 1 = 3*h. Let f = 10 - j. Let i(t) = -t**3 + 10*t**2 - 7*t - 2. What is the units digit of i(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 69, 1\/3, 1\/7, -31, 2\/11, -32\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1949, 1973, 2013, 2069, 2141, 2229, 2333?\n\"Answer: 8*a**2 + 1941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4333195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 a, and 1 k when four letters picked without replacement from {i: 1, a: 4, k: 2, n: 1, d: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75)\/(-1750) - (-2)\/(-14).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - v - v + 0*v**2. Let k be 15\/4 + (-9)\/(-36). Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4198*r + 5*z = 4195*r + 14, 2*z + 4 = 2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*x = -27, -4*v + 0*x = -2*x - 14. Let y(r) = r - 5. Let w be y(5). Suppose -f = w, 3*i = i + f - 6. Put 3, v, i in descending order.\nAnswer: v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 - 24*u - 24. Let l be p(-1). Let d be (-346)\/(-8) - l\/(-4). Solve 5*t - 57 = -d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 19*l**3 - 2*l**2 + 2*l - 1. Let a(c) = 38*c**3 - 5*c**2 + 5*c - 2. Give -2*a(p) + 5*m(p).\nAnswer: 19*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-68)\/(-16) - 10\/8. Solve -3 - 3 = z*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 - 85. Suppose 2*f - 261 = -5*l - 2*f, 5*l - f = 266. Suppose 5*j + w = -m, 0 = -0*m + 3*m - 5*j - l. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152984 times -0.4?\nAnswer: 61193.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 25*k**2 + 4*k + 102. Let j be y(-25). Factor 0 - 3\/5*t**j + 21\/5*t.\nAnswer: -3*t*(t - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x\/(x**(-1\/2)\/x)))**(-42)*(x**(-3\/2)*x)**(-32) assuming x is positive.\nAnswer: x**163","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30105 and 37738290?\nAnswer: 3345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y + 14. Let t(z) = 119*z + 81. Let c(j) = -238*j - 163. Let q(f) = 3*c(f) + 5*t(f). Let r(m) = 35*i(m) + 6*q(m). List the prime factors of r(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23895 is divided by 1592?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2043349.\nAnswer: 7, 11, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirty-two fifths of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 20868?\nAnswer: -20868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.44 + -1.\nAnswer: 6.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(18\/(-3))\/(-132)*187*(-4)\/(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - 1448\/(-200))*5. Which is smaller: r or 3\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -6.65, 2407.\nAnswer: -6.65, -0.1, 1, 2407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1183439608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7123 and -19126.\nAnswer: -12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -25*d**2 - 80*d - 3. Let i be h(-3). Let c(u) = 3*u**3 - 37*u**2 + 12*u + 2. Calculate c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 0*r - 13 - 3*r + 5*r + 15. Suppose 3*n + 60 = 75. Give q(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*g - 2*t, 4*g + 5*t - 8 = 10. Suppose 0 = 5*k - g - 13. Let p(u) = -u**2 + 4*u + 2. Let h be p(3). Solve 28 = -h*v + k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, i: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11210, 11210, 11190, 11150, 11090, 11010?\n\"Answer: -10*v**2 + 30*v + 11190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 190*z. Let a(q) = -8003*q**2 + 10*q. Calculate p(a(k)).\nAnswer: -1520570*k**2 + 1900*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 8 = 0, 23*s - 21*s - i = -248. Let l be (-13)\/(1859\/22) + s\/(-52). What is the second biggest value in l, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368 divided by 3\nAnswer: 368\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*f + 1. Suppose 13 - 4 = -3*m. Let a be m*(-1 + 0 + f). Let h(c) = -c - 5. What is h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/186 and -91\/43951428.\nAnswer: 43951428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/i**(1\/3)))\/i)\/i**2*((i**(1\/5)*i)\/i)\/((i*(i*(i*i**(1\/5)*i)\/i)\/i*i)\/i))**(1\/13) assuming i is positive.\nAnswer: i**(-11\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165699 = -88*u + 403502 + 565647. What are the prime factors of u?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y. Let l(g) = -7*g. Let h(r) = -9*k(r) - 4*l(r). Let u(f) = -4*f. Calculate u(h(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1644*j - 327955 = -7569*j + 390659 for j.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 2174*q**2 + 37572*q - 39744.\nAnswer: -2*(q - 1104)*(q - 1)*(q + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 24 = -24*u. Suppose 0 = -2*c + 2*o + u, -2 + 18 = 3*c - 2*o. Suppose -4*q = -28 + c. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 * 4657702\nAnswer: 130415656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*g - 5*g. Let q be -1*(0 - g)*0. Let o be 272 - (q - (5 + -1)). What is o rounded to the nearest 10?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139a1 (base 12) in base 5?\nAnswer: 1333322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -5\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*a + 13*a. Suppose 5*o + 4*q - 347 - 81 = 0, -o + 94 = -a*q. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1606, -6145, -13620, -24031?\n\"Answer: -1468*r**2 - 135*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 4*z, -17 = -3*p + 69*z - 74*z for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 19*f**2 + 7*f + 5. Let p = -140 - -142. Let q(k) = 0*k + 9*k**p - 36 + 38 + 3*k + 0*k. Give 3*l(o) - 7*q(o).\nAnswer: -6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6353532 a multiple of 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-1 - sqrt(48)\/(sqrt(100) + sqrt(4)))\/((sqrt(2304) - -4*sqrt(2304))\/sqrt(6)))**2*2.\nAnswer: 25\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 59633 - 119268 + 59635.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (8 + (-42)\/7))*3\/5. What is the second smallest value in z, 2, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s + 6. Let j be p(-2). Suppose j = 6*g + 4*g. Let c = 1 + -2. Put c, 4, g in increasing order.\nAnswer: c, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 22*l - 51*l + 16*l + 16*l. Let p(d) = -5*d. Calculate h(p(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - b - 24 = 0, b + 66 = -0*m + 3*m. Let o = m - 5. What is the highest common factor of o and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from oorrrroroorrroro?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393 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: In base 4, what is 11 + 1220311?\nAnswer: 1220322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(336))\/sqrt(6))\/(sqrt(288)*2*6).\nAnswer: sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-3\/8)*z))\/z*z)**(-27)*z**(3\/13)\/(z\/(z*z\/z**(3\/13))) assuming z is positive.\nAnswer: z**(-289\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2271 is divided by 443.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 4*k**2 + 4*k**2)*(2*k - k - 2*k)*(-3 + 2 - 1)*(93 + 30 - 52).\nAnswer: 568*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 925*r**5 + 3*r**3 + 2*r**2 - 9*r - 1126.\nAnswer: 18500*r**3 + 18*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/7, -2677, 0.2, 3, 21, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -393682389.18.\nAnswer: 393682384.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12)*1)\/sqrt(6)*6 + sqrt(18)\/(-3*sqrt(576))*-2.\nAnswer: 145*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**3 + 4*i**2 - 1. Let z = -8 - -13. Suppose -3*l - 12 = -0. Let p(h) = 5*h**3 + 3*h**2 - 1. Let d(a) = l*x(a) + z*p(a). Give d(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24*c**4 + 13*c**4 - 42*c**4 + 7*c**2 + 87 wrt c?\nAnswer: -20*c**3 + 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 27*z**2 + 4. Let v be d(-27). What is the units digit of v*((-101)\/(-2) + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 6*x**2 - 4*x. Let d be w(4). Let k = 11 - d. What is the units digit of (k\/(-15))\/((-1)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0728 - 0.07279099. Round q to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 51*o - 116700 = 0. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 7*k**2 + 7*k - 2. Let v be f(6). Solve v*m - 20 = -0*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/33)\/((-26)\/39)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 2*w - 5735*w**2 + 5736*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 3409.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 1. Let p be d(2). Let c = 19 - 13. Let o be 9\/c + 1\/(-2). What is the closest to o in -0.2, p, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-122)\/32 - 42\/(-14). Sort 2, -0.4, n in descending order.\nAnswer: 2, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1683522 + -4.\nAnswer: -1683526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/14)\/((-2)\/14). Suppose s*u - 2*u - 8 = 0. Determine q so that 37*q**u + 21*q + 12*q**3 - q**2 + 6*q = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*60\/(-54))\/(-2*(-8)\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 a when four letters picked without replacement from nazbzaazznjan?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16570\/125151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722970 is divided by 406?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from {d: 2, e: 3, z: 3, q: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 14 = -2*x, 2*l + 2*l - 5*x - 1 = 0. Suppose -5 = n - l. Let q = -1141 - -62753\/55. Is q at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - p + 125, -4 = -p - 1. Suppose -2*f = 3*r - 57, 4*r + f = -28 + 119. What is the remainder when b is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -289*b + 840. Let s(c) = -192*c + 561. Let r(l) = 8*s(l) - 5*z(l). Let x(i) = -92*i + 283. Let w(n) = 2*r(n) - 3*x(n). Differentiate w(a) wrt a.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/8 - 1527*r**2\/4 + 89407*r\/8.\nAnswer: -r*(r - 29)*(r + 3083)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:04 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-27)*l\/(l*l**(-10)) assuming l is positive.\nAnswer: l**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18919, -75611, -170097, -302377, -472451?\n\"Answer: -18897*j**2 - j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w - 6. Let m be r(-5). Suppose 2*u - m = u. Let s be (1 + 5\/2)*2. What is the greatest common divisor of s and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + j**4 - 3*j**4 + (0*j**3 - j**3 + 2*j**3)*(-17*j + 24*j - 15*j))*(2 - 4 + 3)*(-5*j + 2*j + 4*j).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50123062 + 36?\nAnswer: 50123108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {k: 1, l: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8314 + 7168. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (38 + -58 + -17).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**4\/12 + 25*z**3\/3 + 99*z + 2. Factor a(n).\nAnswer: -n*(n - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2906 and 29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 5 + (2 + 1 - 1)*(2 - 3 - 2) - 1 - 3 + 2 - 23 - 6 - 1)*(2*a - 2*a + a) to the form k + u*a and give u.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + m - 1. Let a be w(1). Let y(q) = -55*q**3 + q + 2. Let p be y(a). Suppose -6*t - 2*t + p = 0. What is the least common multiple of 14 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2206 and 35124.\nAnswer: 38741772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -217*w**5\/10 + w**4\/3 - w**3\/6 - 1467*w**2 + 42*w + 10. Differentiate a(s) with respect to s.\nAnswer: -1302*s**2 + 8*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8857 - 3466 + 23673 + 10584 = -413*z for z.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 202 + 82. Calculate the least common multiple of s and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 2*a. Let m(o) = o**2 - 10*o + 12. Let z be m(9). Is c(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58499242603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (29 + 0)*(-2 + (-3)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 3501*u + 248034 = 0.\nAnswer: -67, 1234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdirrrl. Give prob of picking 1 l, 1 t, and 1 r.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*i + 10*i + 6*i**3 + (2*i**2 + 0*i**2 - i**2)*(2*i - i + 0*i) + 0*i**3 + 2*i**3 + 2*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8293699 = 22*y + 117905. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 16*i**3 + 15*i**2. Let w(l) = -11*l**3 - 10*l**2. Give -5*c(k) - 7*w(k).\nAnswer: -3*k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 9:49 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -303131?\nAnswer: -303142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 1)*(0 - 3 + 1)*(-2*a**5 + 13*a**3 - 13*a**3).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 1270091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/9244911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/939 or -0.099711?\nAnswer: -0.099711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10121155 (base 6) to base 5.\nAnswer: -33244331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1936 and 785048.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 449371\nAnswer: -2\/449371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2. Let z(n) = -n**2 - 3. Let u be 4 + 0 + (-5)\/5. Let i(v) = -v**2 - 2. Let a(q) = u*i(q) - 2*z(q). Give m(a(s)).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/20 - j**4\/3 - 2*j**3\/3 - 2*j**2 + 2*j. Let k be r(4). Let g = 29 - k. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2547079*k - 2547140*k + 3111 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25328.\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) -1\/8 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 1643 - 659 = 72*y - 3416 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8328253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161048?\nAnswer: 2, 41, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 9:13 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186857897 is divided by 479?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151120926 - 151120927.80000039. Let i = -1.8 - v. What is i rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*b - b - 3*k, b = -4*k + 12. Suppose 2*r - 24 = b. Solve -r = 4*c - 9*c - 3*y, -3*y = -2*c + 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/15)\/(24\/(-80)*15\/(-95))?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -743\/8. What is the nearest to 1 in v, 4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 32*g**2 + 34*g + 54. What is the remainder when 2041 is divided by z(-2)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 173 - 6?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12\/2489 + 103129\/224010. Calculate the common denominator of (2\/(-20))\/(18\/(-308)) and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - 56) + (-21 - -142).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -410041 (base 13) to base 2\nAnswer: -101110001100100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/9)*(a\/(a**13*a))\/a*(a*a**(-6\/7))\/a**10 assuming a is positive.\nAnswer: a**(-1475\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -792149\/115224 - 2\/14403. Let t be ((5\/2)\/((-5)\/(-4)))\/((-8)\/28). Which is smaller: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(18)\/(sqrt(81)*3) + -4*(1 + -2 + sqrt(98)))**2.\nAnswer: -656*sqrt(2)\/3 + 13592\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*a**2 - 1096*a**2 - 1120*a**2 - 2*a + 3343*a**2 + 3*a.\nAnswer: 46*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-72)\/10)\/(-3))\/((-9)\/(-780)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10086)\/(-1722) + (-8)\/(-7) + -1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 12*b - 25. Let o be j(-14). Suppose c + 3*n = 4*c + o, 3*n = -3*c + 9. Solve -2*k + 1 + c = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-147)\/(-18) - -1*1. Let k = l - 9. Let t(f) = 4*f + 8. Let j be t(-1). What is the second biggest value in k, j, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.130426055717 - 0.8\nAnswer: -3.930426055717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4 - 5)*5)\/(7 + 714\/(-105)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -71*x. Let d(w) = 72*w. Let o be 2\/4*(232\/22 - 288\/528). Give o*v(f) + 4*d(f).\nAnswer: -67*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4566901411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191655 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2480476*a**4 + 141055*a + 1.\nAnswer: -29765712*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0*g**2 - 14 + 2*g - 9*g + g**2. Let q be t(8). Do q and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:40 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 5*h + 3. Let c be n(-3). Let k = -4 + -1. Suppose -3*f = -0 + 3. Sort f, k, c in decreasing order.\nAnswer: f, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.9384 months in centuries?\nAnswer: 0.130782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*o - 36*o**2 + 19*o**2 + 19*o**2 to t + x*o + b*o**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(495) + (sqrt(495)*-3 - sqrt(495)))*-1)\/sqrt(11) - (sqrt(80) + sqrt(80) + 1 + 1 + sqrt(80) - (sqrt(80) + 2 + 4))**2).\nAnswer: -292*sqrt(5) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -8.3.\nAnswer: -207.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 369.3579 years?\nAnswer: 4432.2948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 9*q + 6. Let s(j) = -j**2 - j + 1. Let f(a) = -4*s(a) + v(a). What is the least common multiple of 11 and f(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3690219?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 42850066 a multiple of 2258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 2974*c\/3 - 214728.\nAnswer: 2*(c - 4668)*(c + 207)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*d - 548*d + 1597 = -3908 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooyooopooyyooyfy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*l - 2*l - 2*l)*(587 - 76 + 511) as g + z*l and give z.\nAnswer: -2044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 30*p**2 - 5*p - 10. Does 40 divide h(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o - 45*o + 25*o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 7142969 = 22*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 1. Suppose 4*z = -m + 12, -3*m = 4*z - 7 - 5. Let k be c(m). Solve -6 = 2*q + 2*f, 4*q - 2*f + k = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 55, 64, 71?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1738 + -1674. Calculate the greatest common factor of l and 544.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + m**2 - m + 1. Let b(s) = -3*s**3 + 3*s**2 - 3*s - 5. Let x(v) = -b(v) - 2*o(v). Let l be (-195)\/(-78)*(2\/(-5) + 2). Determine x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 0*q - 6*q - 9)*(-3*q**3 + 0*q**3 + q**3).\nAnswer: 12*q**4 - 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -78.5. What is the nearest to -0.1 in -14, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 521.05 (b) -14 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/6)\/((-6)\/(-27)). Suppose -7*q + 2*q = l - 55, 25 = 5*l. Suppose -6*p + q = 4. Solve -k - p = -f for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 225 divide 172828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 1 + 3 - 207*i - i**3.\nAnswer: i**3 - 207*i + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 611023921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 5)*(2 + 1 - 2)*(0 + 5 - 3)*(236*h - 236*h + 67*h**2).\nAnswer: 670*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -795 or 3\/16?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**3 + 5*n - 2. Let a(q) = -17*q**3 - 2*q**2 - 5*q + 1. Let d(h) = 3*h**3 + h**2 - h + 1. Let r(o) = 3*a(o) + 6*d(o). Calculate -5*r(f) - 21*w(f).\nAnswer: -3*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -34444*z**3 + 2*z**2 - 2. Let c be w(-3). Let i be c + -1 + (-5 - (-4 + 2)). What is i rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let t(x) be the third derivative of 17*x**5\/60 + 12*x**2. What is t(y(z))?\nAnswer: 68*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 3 - 26*a - 36*a + 0 - 4*a.\nAnswer: -62*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-225)\/(-10))\/(63\/6)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**4*h + 18*c*r - 2*h*r - 350*h + 1 wrt c?\nAnswer: -20*c**3*h + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15447819, 30895637, 46343455, 61791273, 77239091?\nAnswer: 92686909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 6*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let n(j) = j**2 + 4*j - 3. Let s(b) = -204*b**2 + 88*b - 66. Let u(f) = 44*n(f) - 2*s(f). Calculate h(u(c)).\nAnswer: 452*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwecs. Give prob of sequence sc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o + 7. Let s(g) = -g + 3. Let u(t) = -3*b(t) + 7*s(t). Let l be u(-5). Solve -3*y - l*n = 12, -2*y + 0 = n + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 4*t + 5. Let z(u) = u**2 - u + 1. Give -f(g) + 6*z(g).\nAnswer: 7*g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x - 2*w - 6, 4*x + 2*w + 19 = 3*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1973411 and 1309.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 5:59 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 144 = -2552. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3780*z**3 - 16*z**2 + 255702*z wrt z?\nAnswer: 22680*z - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:47 AM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 22. What is the third smallest value in -1, 6, s?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -8*g**2 + 58*g - 6. Calculate k(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30310001222 - -3?\nAnswer: 30310001230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in -27\/2, -47, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 11. Let q be (-2)\/5 - (-46)\/(-10). Let t = 2.2 - 2. What is the second biggest value in a, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:43 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 16*a + 14. Let h be x(-1). Let r be (-7)\/h + 29 + -32. Factor -1\/2 + r*u**2 + 1\/2*u**3 - 1\/2*u.\nAnswer: (u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x**2. Let o(f) = 388*f - 3. Calculate w(o(a)).\nAnswer: -602176*a**2 + 9312*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**3 + 106339742*l**2 + 53161*l - 144?\nAnswer: 6*l + 212679484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29443 by 2654.\nAnswer: -29443\/2654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 + 10*b - 5. Let w(y) = y - 1. Suppose 2*c - 5*a + 13 = 0, -5*c + 8 = -127*a + 128*a. Calculate c*o(i) - 5*w(i).\nAnswer: -2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**3 + 2*n**2 - 2*n - 1. Let w be u(3). Suppose 4*l - 324 = w. Calculate the greatest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:22 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 - 4*p**2 - 40*p - 138. Let b be u(-4). Calculate the greatest common factor of 198 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 166 and 8496461.\nAnswer: 16992922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15045 = -903*p - 1500 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3408)\/(-34))\/4 - (14 - ((-602)\/119 + 19)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by -3896834?\nAnswer: -29\/1948417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -4*a - 11, 9 = 4*a - u + 30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1375 + 455. Let t = -204129.71 - -203206. Let b = a - t. Round b to 1 dp.\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13. Let d(x) = -2*x - 2. Let c be d(-4). Suppose -3*t + m*t - c = 0. Is -4\/5 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1322 and 1011991.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**2 + 7. Let t(j) = -6*j**2 - 8. Let b = -28 - -22. Let l(c) = b*t(c) - 7*p(c). Let i(r) = 4*r**2 - 5. What is -i(u) + 5*l(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*p + 20*p + 505. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36368246 and 8.\nAnswer: 145472984","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 308 - 103 - 151*x**3 + 508*x**2 - 107 - 98 wrt x?\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8990417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*l - 46, 3*l - 2 - 7 = 0. Let a be (8\/(-12)*-6)\/(2\/30). What is the remainder when (-4)\/(-10) + -3*(-292)\/a is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = -0*r + y, -5*r + y = 25. Let u be -4 + 7 + r + 4. Let w be -1 - u*(-9 + 4). Is w < 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3500 + 3502. Which is the closest to -3? (a) 4 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50700 and 1625?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5007000 to the nearest one hundred thousand.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 13*k - 10 = -15*k - 57, 4*c = 4*k + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25257)\/(-2)*70\/105 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**3*t**2 - 2403*g**3*t + 50122*g**2*t**2 wrt g.\nAnswer: 24*t**2 - 14418*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891683 and 17603?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 721, 2748, 6127, 10858, 16941, 24376, 33163?\nAnswer: 43302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-5)*(-20)\/16*(-68)\/18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -260*x**5 + 9504*x**4 - 57980*x**3 + 29808*x**2 - 3248*x = 0?\nAnswer: 0, 2\/13, 2\/5, 7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynynoccyycnont. Give prob of sequence yct.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*n**2 - 132*n**2 + 704*n**2 + 200*n**2 + 155*n**2.\nAnswer: 1215*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/46206 and 119\/198.\nAnswer: 508266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a century?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 58\/13, -1.3, 0.32, -487?\nAnswer: 58\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/44 or -38.9?\nAnswer: -38.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1, -258\/11, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = 5*k. Let n be (2 - (1 + 2)) + k. Let x(r) = 6*r**2 + 597 - r**2 + r**3 - 597 + 2*r. What is x(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38204.7813 minutes?\nAnswer: 3.790156875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p - 200. Let b(n) = -68*n + 2. Let u be b(6). Find the common denominator of 89\/2 and u\/p - 4\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.303551912 rounded to five decimal places?\nAnswer: -0.30355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 7, p: 7, z: 1, t: 2}. Give prob of sequence vvtt.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-220) + 1*(-4)\/22. Let w = 11 + -7. Suppose 5*p - 2*p = 3. What is the nearest to p in -2\/5, l, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 544826340*d**2. Let o(a) = 3*a. Calculate o(t(s)).\nAnswer: 1634479020*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-182)\/4 + (-2)\/4. Let w = -24 - b. Calculate the greatest common factor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**4 + 0*w**4 - w**4 + (-3 + 3 - 2*w**3)*(-3*w - 2*w + 4*w) + 21*w**4 - 60 + 60 in the form d*w**3 + t + s*w**4 + b*w**2 + m*w and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 5*i - 45 = 0, -5*b - i = -20. What is the third biggest value in 2, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -231.4 + 231.3. Is 1.5 > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((3\/1)\/3). Let j(o) = 5*o. Let k be j(z). Suppose 2*h = 4*y - 28, -6*y + k*h + 35 = -3*y. Let v(c) = c**2 - 2*c - 3. Give v(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235567.\nAnswer: 29, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391907419.\nAnswer: 23, 2579, 6607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 15. Let s(c) = -c + 9. Let h(v) = -3*b(v) - 5*s(v). Let z(j) = -12*j + 1 + 4 - 5. Determine h(z(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3260)\/192*22 - 33\/(-88). Are z and -374 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 113. Let h be 73*(1 - (-12)\/(-10)). Let z = h - -526\/35. Which is the nearest to 2? (a) s (b) -5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 0*r**6 + 1\/10*r**5 - 2\/3*r**4 + 1\/14*r**8 + 0*r**3 + 2 + 0*r**2 - 13*r + 0*r**7. Find the third derivative of p(b) wrt b.\nAnswer: 480*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -176*q + 11. Does 11 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4 + (-56)\/(-80). Solve 0*z - t*z**3 + 0*z**2 + 0*z**4 + 0 + 1\/5*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1590902 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(612)*-5 + 2 - sqrt(612)) + 2.\nAnswer: -36*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5185896?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(20)\/sqrt(10)*-6) + ((sqrt(19) - (sqrt(19) + 0))*4)**2 + 1.\nAnswer: -sqrt(19)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50501251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 2483*b + 17348. What is t(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 > 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5 = -2*f + 19, -2*r - 3*f = -13. Let p be r\/(-22)*-31 + 4\/22. Solve p*c + 6 = -3*j, -5*j - 4*c - 6 = -1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10315582 and 0.16?\nAnswer: 1650493.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -21. Suppose b = -u*l - 6, -2*b + l = -b - 6. Suppose 0*f = f + b*z - 3, -2*z = -5*f - 2. Solve -5*r = 3*o - f*r + 1, -2*r + 5 = 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 7*s**2 - 3*s + 18. Let c be -20*(-4*27\/30 - -4). Determine k(c).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.08704 times 0.008\nAnswer: 0.00869632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x\/x**1)*x)\/x*x)**6 assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 2*o - 5. Let n be v(-5). Let h = 17 + n. What is the biggest value in h, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 + -0.0594.\nAnswer: 0.1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4795 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 7. Let h(t) = -t**2 - 13*t + 14. Let u be h(-15). What is the tens digit of w(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9113605.\nAnswer: 5, 151, 12071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03793232 to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - w - 4 = -0, 3*j = 3*w - 24. Let l be (-7)\/(-3*j\/12). Is -4 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -24*f**3 + 2*f**2 - 2*f + 2. Give z(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Let p be 1\/((-2)\/(-4 + k)). Solve -2*u + 9 + p = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:20 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -44. Let v be (-66)\/105 - ((-150)\/(-35))\/(-10). Which is the third biggest value? (a) v (b) -3\/4 (c) l (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 125 and 12164 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/180)\/((-8)\/(-10)). Let f(l) be the second derivative of 2*l + 0 + 3*l**2 + a*l**4 - 2\/3*l**3. Let f(o) = 0. Calculate o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 15080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpplma. What is prob of picking 1 a and 1 p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 11*b**2 - 10*b + 5. Let v be u(10). Suppose 2*a - 3*t - 1476 = -v*t, -3*t - 6 = 0. Suppose -o - 3*o = -a. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 218*o**2 + 7616*o + 84726. Let r(w) = -2*w**3 - w**2 + 27. Let f(g) = -p(g) + 2*r(g). Factor f(d).\nAnswer: -2*(d + 28)**2*(d + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*j - 5*h, 20 = 5*j - 266*h + 269*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -120, 120 in ascending order.\nAnswer: -120, -28, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 1495490009.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -31, -42, -57, -76?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen fifths of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 2, 95\/8, 4.5466?\nAnswer: 95\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0228291 and -329532302?\nAnswer: 329532302.0228291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + p - 4. Let b be a(5). Let c = b - 0. Let k be (-1)\/(-4)*4 - (-1)\/1. Which is smaller: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 18 + 267 = -2*v, 3*o = 5*v + 635. Put v, -1, -2 in decreasing order.\nAnswer: -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*v**3\/5 - 18962*v**2\/15 - 24616*v\/15 - 1144\/3 = 0 for v.\nAnswer: -286, -1, -10\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 7:44 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbppbppp. Give prob of sequence bpbp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.11 + 1.1. Let n = x + -0.39. Let d = 23 + -71\/3. What is the nearest to 2\/3 in d, 4\/7, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = f - 4 - 13, -4*d - f + 31 = 0. Let l(c) be the third derivative of -c**6\/120 + 2*c**5\/15 - c**4\/6 - 2*c**3\/3 + 24*c**2. Determine l(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-93)\/(-26)*184 + 4\/(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**3 - 3*b. Let n(t) = -4*t**3 + t. Let r(q) = -6*l(q) - 14*n(q). Find the second derivative of r(y) wrt y.\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2618 + -1349. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4705, 4700, 4709, 4744, 4817, 4940, 5125, 5384?\n\"Answer: 2*i**3 - 5*i**2 - 4*i + 4712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 10. Let v(k) = -5*k + 8. Let y be v(-7). Let i = 62 - y. What is the remainder when i is divided by q(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -2*o + 65 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -226?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -16*s**2. Let x(b) be the third derivative of -7*b**4\/12 + 4*b**2 + 5. Give x(d(r)).\nAnswer: 224*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -19. What is the remainder when 19 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -73, -106, -139, -172?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 292 or 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*n + 1622 - 1895 = -7723 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -371, -741, -1111, -1481, -1851, -2221?\nAnswer: -2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11543 or 12395?\nAnswer: 11543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 273525?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248023745.\nAnswer: 3, 5, 27733861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -24bd?\nAnswer: 24c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arpajppwtprjapwpjjjp. What is prob of sequence tar?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52, 9, -34?\n\"Answer: -43*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2418076073 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 45, 58, 71, 84, 97?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64330, -128456, -192578, -256696, -320810?\nAnswer: -384920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 2 - 411*m - 1.\nAnswer: -411*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -3. Let f(n) = 2*n**3 + 30*n**2 + n + 19. Let k be f(-15). Suppose 396 = k*t + 156. What is the highest common factor of s and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 81*s**3 + 13*s**2 + 37*s + 36. What is g(-1)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -41, 0, 19 in ascending order.\nAnswer: -41, -10, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18046 divided by -852?\nAnswer: -9023\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151266 (base 10) to base 5.\nAnswer: -14320031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-10))\/(-20*5\/70)*5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 7:16 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**0)\/n**1*n*n*n*n**(2\/11)*n*n*n*n**0)\/((n**(-1))**(-47)*(n*(n*n*n**(-1\/2)*n)\/n)\/(((n**(-4\/3)*n)\/n*n)\/n*n*n)) assuming n is positive.\nAnswer: n**(-2749\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/2, -4, -99815, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 0, 23, 66, 129, 212?\n\"Answer: 10*k**2 - 27*k + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 566931965 to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:02 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*u + 8. Suppose -u*z + 75 = z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16105?\nAnswer: 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -3. Let d = f - -9. Suppose 4*w = t + 24, -d*w + 19 = 5*t - 22. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 150 - 752\/5. What is the nearest to -3 in 3\/7, n, 1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**4\/4 - 5*t**3\/4 - 169*t**2\/4 - 259*t\/4 + 588 = 0.\nAnswer: -7, 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 69*s**5\/20 - 124*s**2 + 3. Let z(b) = -2*b**2. Give z(y(i)).\nAnswer: -85698*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) 1241 (c) 3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14471249, -28942497, -43413745, -57884993?\nAnswer: -72356241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -926926 divided by -926926.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/3)\/((-88)\/(-198)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3483604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(2448) + 2))**2.\nAnswer: 72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -17. Suppose i = 4*p - p - 6. Suppose -p*g = -0*g - 24. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*a - 1 - 13 = 0, -5*y + 4*a = -19. Suppose b = -3, -42*w + 38*w = y*b - 59. Calculate the highest common divisor of w and 1343.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 5:36 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -142688 divided by 2912?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11332022 - -3013?\nAnswer: -11323003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, r: 2, u: 5, h: 1, c: 7}. What is prob of sequence ccur?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.84 + 11.94. Let i = h + 0.9. Let n = 0.03 + -2.03. Which is the nearest to -2? (a) n (b) -4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 822309648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -604*t - 1864*t**2 + 604*t + 5*t**3 - 2*t**3.\nAnswer: 3*t**3 - 1864*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 888*b**2 + 5256*b.\nAnswer: 2*b*(b - 438)*(b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a72093 (base 15) in base 14?\nAnswer: 10b10b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 420149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 0.5, 0.21, 39, 19.\nAnswer: -15, 0.21, 0.5, 19, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/108 and 67\/288.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 1. Suppose -o + 5*o = 3*k - 377, o + 80 = -p*k. Let t = o - -290. Calculate the highest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 74 = -2*k, -2*o = 4*k - 7 - 37. Suppose 50*b - 922 = 2328. What is the greatest common divisor of o and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.975 - 8.9. Let w = -0.075 + c. Put -2, -5, -25\/6, w in decreasing order.\nAnswer: w, -2, -25\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -14*d - 10. What is c(-4)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/192)\/(2\/(-4)))\/(29\/9570)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.07 + -0.07. Let f = 58.0758 + -0.0758. Let q = -57 + f. What is the third smallest value in q, b, -0.43?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**(-6)*w))\/((w*(w\/w**(-6))\/w)\/w))**(2\/43)\/(((w\/w**(-3\/4))\/((w**2\/w)\/w))\/(w**(2\/5))**21) assuming w is positive.\nAnswer: w**(5679\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11441 - 178?\nAnswer: 11263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/k)**(2\/55))**(-31)*((k*k\/((k*k\/(((k**(-2)*k)\/k)\/k*k*k))\/k))**(-4))**(-15) assuming k is positive.\nAnswer: k**(62\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3097 - -3087. Put m, -3, -2, 2\/11 in decreasing order.\nAnswer: 2\/11, -2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 16 - (0 + 6) - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m - 7*m - 8*m**4)*(-3 + 2 + 2).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 8*q - 35. Let a be t(-46). Let g = 4630 - a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - 1)*(-1)\/2. Suppose -u = -3*h - 10, 0*h = -s*u + h - 4. Let z be (96\/(-28))\/(u\/21). Calculate the greatest common factor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.53 + -0.5. Let r = -30 + 30.5. Which is the smallest value? (a) 4 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 1359 + 715. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - (sqrt(102) + 1*sqrt(102))) + sqrt(102))*1)\/(-3*sqrt(30)\/sqrt(5))*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:10 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12 + 7*q + 5*q - 9*q.\nAnswer: 3*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -651*j + 5859. Let l be y(9). Solve l = -f - 24*g + 20*g + 36, 2*g = 2*f + 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000111210120 (base 3) in base 5?\nAnswer: 1140323024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 + 34*i - 197. Let m be r(5). Let g(b) = 10*b - 2. Calculate g(m).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k - 183. Let g be o(-11). Which is greater: g or 50\/11?\nAnswer: 50\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i - 74. Let n be u(18). Let b be -5*((-10)\/n)\/((-10)\/104). What is the greatest common factor of 78 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b + 2*c = -24*b + 18, 2*c = 3*b + 22 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, 1697, 3813, 6775, 10583, 15237?\nAnswer: 20737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-42))\/(585\/315).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2820.8 + -2821. Which is the third biggest value? (a) 5 (b) -15 (c) -0.18 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 9:47 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 12:03 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(80) - sqrt(80))\/sqrt(10) - ((sqrt(1152)*2)**2 - sqrt(8))) + -5 - -4*sqrt(2)*-2*1*6*-1.\nAnswer: -4613 + 52*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 52 - 7 = 0. Let s be 3 + 15*t\/6. Which is smaller: s or -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + y = 13, -169*o + 5*y - 9 = -168*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (43109 - 12\/(-3))*2\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 8*x**2 - 6 + 15 as l*x**2 + w*x + d and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238447882 and 52342218?\nAnswer: 2146030938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 7. Let k be ((-18)\/24)\/(j\/12). Solve v + k*v = 4*d + 8, 5*v = -3*d - 22 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4856.221nm to micrometers.\nAnswer: 4.856221","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56780692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w - 19*w = 49976. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*g, b = -3*b - g + 9. Let y be (-1 + -1)\/b*-7. Solve y*f = 2*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44438802, -44438803, -44438804, -44438805, -44438806, -44438807?\n\"Answer: -n - 44438801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 157897825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*p = 208*p - 360*p + 1992 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -10005?\nAnswer: -10004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*c + 2*c + 5*y + 419, 2*y - 565 = -5*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvwm when four letters picked without replacement from {f: 1, w: 1, v: 3, x: 5, m: 4}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**4)\/f**(-5))**16\/((f**(1\/2)\/f**6)\/(f**(-1\/4)*(f**(-2\/9)\/f)\/f)) assuming f is positive.\nAnswer: f**(6445\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 4*x**5 + 3340*x**4 + 23220*x**3 + 29780*x**2 - 23224*x - 33120 = 0.\nAnswer: -828, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t + 250. Let c(a) = -4*a - 63. Calculate -9*c(q) - 2*x(q).\nAnswer: 2*q + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-7 - -19) + 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61 or -1133?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 40*v**3 - 2*v**2 + 3*v - 1. Let f be (-2 - 142\/(-14)) + 1\/(-7). Suppose -f = 2*j + 5*p, 2*j - 6*j + 4*p + 12 = 0. What is the tens digit of h(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*j + 11 = z, 3*j + 1 = -2*z. Let h = 1 + 0. What is the least common multiple of h and z - -14 - (2 - 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 - w**3)*((-3 + 3 + w)*(-4 + 3 + 2) + (-3*w + w + w)*(-1 + 3 - 1) + 3*w - 2*w - 5*w).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/11 (b) -3 (c) 0.5 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 488 = 4*q + 3555, 0 = 3*f - q - 4037. Does 4 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (762\/889)\/(2\/(-12)*(-4)\/35).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2 - 1. Let m(x) be the first derivative of 5*x**4\/4 + 2*x**3\/3 + x**2\/2 + 1. Let s be m(g). Let c(t) = 2*t + 2. Determine c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 64*s + 4. Let o(a) = 111*a + 7. Let d(c) = 4*o(c) - 7*v(c). Let r(k) = 44*k**2 + 4. Calculate r(d(j)).\nAnswer: 704*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + 2*i**5 - 4*i**5 + (-i**2 - i**2 + i**2)*(0*i + 0*i + i**3) + (2*i - 2*i - 2*i)*(i**4 - 4*i**4 + i**4) + 396*i**5 - 203*i**5 + 343*i**5.\nAnswer: 538*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - 24216065?\nAnswer: -24216041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e + -1009?\nAnswer: -1098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 7 - (0 - 6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 73 or 291\/4?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 689056.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 72*l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**5 + h**4 - h - 1. Let w(l) = -1864*l**5 - 5*l**4 - 1299*l + 5. Let x(d) = -10*s(d) - 2*w(d). Find the second derivative of x(k) wrt k.\nAnswer: 74760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(2))\/sqrt(3) - -5*sqrt(60)\/sqrt(4))\/(6*-1*sqrt(363)).\nAnswer: -sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 325\/532 + -3\/76. Let q = 98 + -99. What is the closest to q in z, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -560145, -560143, -560141, -560139, -560137, -560135?\n\"Answer: 2*w - 560147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12011771.\nAnswer: 29, 414199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 75\/21 + -2 - (-21)\/(-14). Let m(p) be the second derivative of 4\/21*p**3 - p - 2\/35*p**5 + 0 + c*p**4 + 1\/105*p**6 - 4\/7*p**2. Solve m(x) = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 34*1\/2. Suppose -5*m = -2*b - 6, 5*m = 4*b + 2*m - q. Calculate the smallest common multiple of b and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 19. Let x(s) = 3*s**2. What is x(q(a))?\nAnswer: 48*a**2 + 456*a + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l - 16. Let i be w(-9). Suppose i*c = -4*x - 8, -c - 12 = x + 2*c. Suppose -4*y + 3*a + 265 = x, 0 = 2*y + 2*y + a - 269. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((3*sqrt(110) - sqrt(110))*-2 - sqrt(110)) + sqrt(110))*-4)\/((sqrt(360)*-4 - sqrt(360))*1)*-6*-1.\nAnswer: -16*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15121*s*x**3 - 10*s + 46*x**2 + 18 wrt x.\nAnswer: -90726*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13023, 26046, 39069, 52092, 65115, 78138?\nAnswer: 91161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -23.47. Let d = 0.4699836 - j. What is d rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (11\/44)\/(1\/52). Let d = -10 + r. Which is smaller: 8\/5 or d?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (2 - -14) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + 5 + sqrt(153) + (sqrt(153) - (-3 + -2*sqrt(153))) + (0 + sqrt(153))*3 + (sqrt(153) - (sqrt(153) - -2*(0 + sqrt(153))) - sqrt(153)) + 1))**2.\nAnswer: 4992*sqrt(17) + 41872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j + 2*m, 5*m = -j + 63 - 56. Let n be (8\/10)\/2 - 1. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - 0. Let b be z*(-3)\/9 + 2. What is the derivative of -3*h**2 + b*h**2 - 2 - 2*h**4 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*o**4 - 77*o**3 - 217773*o**2 wrt o.\nAnswer: 384*o - 462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2\/7 - 71646*d\/7 + 71649\/7 = 0.\nAnswer: -23883, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -377 + 719. Let f = 125 + r. Let j = -466.999498 + f. Round j to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d**2 - 2*d - 2. Let j(r) = -12*r**2 + 3*r + 4. Let a = 39 + -44. Let n(k) = a*o(k) - 3*j(k). What is the smallest common multiple of 4 and n(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + (-52)\/(-20). Calculate the remainder when 2 - 3\/h - -18 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 45*r**3 - 479*r**2 - 16*r - 37. What is the tens digit of y(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 6 - 2\/9*f**4 + 0*f - 2\/27*f**6 + 0*f**2 - 2\/27*f**3 - 2\/9*f**5. What is k in p(k) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -2, 4, 16\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 31*j**3 + 12*j**2 + 6*j. Let i(t) = t**3 + 2*t**2 + t. Calculate 6*i(n) - p(n).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 11*l + 12. Let z(d) = -d**3 + 20*d**2 - 17*d - 10. Let t be z(19). Suppose 58 = 3*h + t. Let r be j(h). Solve -o = -0 + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 - t**2)*(0*t - 3*t + 2*t) + 0*t**3 + 4*t**3 + 0*t**3 + (3*t + 2*t - 4*t)*(-8*t + 1587*t**2 - 3195*t**2 + 1604*t**2).\nAnswer: t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of g**4\/2 - 9*g**3\/2 - 4*g**2 + g + 19. Let f be b(5). Solve 0 = -5*u + f*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/7 and (-6)\/14 - (24\/14)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -762*k**2*m**3*q + 14341435*k**2 - 2*k*m**2*q + 160196*m**3*q wrt m?\nAnswer: -4572*k**2*q + 961176*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213.2071 weeks to hours.\nAnswer: 35818.7928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -53609216 divided by 4\nAnswer: -13402304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 221 a factor of 748306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.788722kg to tonnes.\nAnswer: 0.007788722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41514 + -19459. Let n = g - 22054.42091. Let i = -0.58 + n. What is i rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 2. Let l be k(-13). Let v = l + 25. Let c(h) = -7*h + 3. Calculate the remainder when c(-5) is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/18)\/(481\/1924).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*m = -21. Solve -2*n - 7 = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**2\/2 - 14*j + 1607. Let g(t) = -t**2 - 7*t - 1. Let u be g(-4). Give c(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*126\/(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -986, 3, -103 in decreasing order.\nAnswer: 3, -103, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63\/2 + -31. Let u(d) = -d + 5. Let b be u(-5). Let r be 60\/84*4\/b. Does r = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**6\/60 + 9*d**5\/40 + d**4\/3 - 121*d + 5. Factor s(g).\nAnswer: g**2*(g + 1)*(g + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -372 times 1338?\nAnswer: -497736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*z - 7 = -1, 2*h - 28 = 4*z. Let l be (-2)\/h*5*-2. Let i be -6*(26\/(-78) - 1\/3). What is the biggest value in i, 0.2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 1)*(-4)\/6. Let m(l) = -1116*l + 5. Let q(v) = 3277*v - 14. Let w(r) = 17*m(r) + 6*q(r). Is w(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35068627301 and 0.\nAnswer: 35068627301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 4949. Let v(m) = -m. Calculate i(v(n)).\nAnswer: -2*n + 4949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 67586.61286 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1682*h - 198463. Determine l(-118).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**8\/560 - v**6\/60 + v**3 + 2. Let y(f) be the third derivative of a(f). Find the third derivative of y(m) wrt m.\nAnswer: -72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -20, -1, 36, 97, 188?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r - 2*r + 3*r)*(22 - 78 - 41) to g*r + i and give g.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 941094 and 93896.\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/9 - 3812*q\/9 - 3814\/9 = 0 for q.\nAnswer: -1, 1907","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8128787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -0.2, -0.206?\nAnswer: -0.206","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78, 155, 230, 303, 374?\n\"Answer: -h**2 + 80*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.1 - 180.1. Let r = 74 + q. Let t = -88 - r. Which is the second biggest value? (a) 6\/7 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:45 PM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39 - 21675\/(-550))\/((-12)\/(-22))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, n: 1, b: 1, x: 3, f: 1, d: 4}. Give prob of picking 1 d and 1 n.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5491 - 50416254?\nAnswer: -50421745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479 is divided by 1237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 57*n**2 - 5*n + 31. Let g be x(5). Let z = 52951\/37 - g. Is -1 bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*n = -344 - 4038 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29007481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*r**3 - 4*r**2 - 240*r**2 + 36*r**3 + 36*r**3 - 20*r**2.\nAnswer: -2*r**3 - 264*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 + 6*p + 27. Determine l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9310 is divided by 694.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 411297713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2901\/736 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -167 + 197 + 1 + 2 + -4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5204 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 m be 48\/(-32)*(-20)\/(-6). Is 7 a factor of (-1)\/m - 979\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q - 8*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 3*l**3 + 0*l**3)*((-4 + 2 + 1)*(-2*l - 3 + 3) + 14 - 14 + 9*l).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5*(sqrt(567) + (-4 + -1 + sqrt(567) - sqrt(567))) + 3 + (sqrt(567) + (sqrt(567) + -1 + sqrt(567))*5 - (3*sqrt(567) + 0)))**2.\nAnswer: -6318*sqrt(7) + 96552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 12. Let q(g) = 1. Determine p(n) + 2*q(n).\nAnswer: n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 2*o, -4*r - 168 = -2*o. Let p = 43 + r. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = n + n + 8, -c - 3*n = -21. Suppose -c + 2 = a - 3*j, -5*j + 18 = 4*a. Solve -a = -0*o - o, x + o = -1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94717 and 10.\nAnswer: 947170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1176 + 1703. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3450 - -3451. Let u = 1.04 + -0.04. Let c = u + -1.4. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/a**16)*a)**(-4\/9) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2544111 or -2544126?\nAnswer: -2544111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from gnwivwiviizwvivwwzwv.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19581555 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2. Let x(r) = -2*r**2 + 3*r - 3. Let j(l) = 10*l**2 - 16*l + 16. Let q(k) = -3*j(k) - 16*x(k). Give z(q(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -468, -467, -468, -471, -476, -483?\nAnswer: -492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by (5 - -32) + 4 + (-21)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/3)*h*h)**(-42\/5)*(h*h\/h**(-1)*h)**(25\/2))**(-12) assuming h is positive.\nAnswer: h**(-2328\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/(m*m**(-1\/13)))\/(m*m**(1\/2)))**(-15))**(-47))**47 assuming m is positive.\nAnswer: m**(-1225995\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 38 = 148*o + 32 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (646*p + 690*p + 130 - 130 + 251*p)*(-1 - 2 + 5).\nAnswer: 3174*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/(-102))\/((-2)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 347333775 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3 - 1674*n**2 + 233523*n = 0.\nAnswer: 0, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2049168744 and 7932.\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -8*v**2 - 262*v + 249. Let h(p) = 4*p**2 + 260*p - 250. Let w(o) = -2*b(o) - 3*h(o). Factor w(l).\nAnswer: 4*(l - 63)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/21 - 138016*o\/21 - 552032\/21 = 0. What is o?\nAnswer: -69004, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84131.5 millilitres?\nAnswer: 84.1315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 343 and 930657.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1111100000000011000 (base 2) to base 15\nAnswer: -a076d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8437758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1540821, -1540857, -1540917, -1541001?\n\"Answer: -12*c**2 - 1540809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53372065 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of ((-810)\/72)\/(((-9)\/16)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjvvtjojvvjjjcjvc. Give prob of picking 1 c, 1 j, 1 o, and 1 v.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/120 and 133\/1745700?\nAnswer: 3491400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9}. What is prob of sequence jjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -66 - 57 + 134 - 4*b. Let l(c) = c**2 + 7*c + 6. Let p be l(-5). Let d(s) = -s + 2. Let y(x) = p*o(x) + 22*d(x). Let q(u) = 5*u. Give y(q(j)).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3642*b**3*j*n**2 - 84*b**3*j*n - 4*j*n**2 + 118*j*n wrt n.\nAnswer: -7284*b**3*j - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 9) to base 8.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 526421119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6009265 and 4.8.\nAnswer: -6009260.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1047746 (base 11) to base 10.\nAnswer: -1840339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3\/21520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 5:33 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 227, -4 in descending order.\nAnswer: 227, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 775*l**3*n*q - 26*l**2*n*q + l**2*q wrt l.\nAnswer: 4650*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Let y(u) = 2*u**2 + 7*u - 4. Suppose -95 = -34*k + 292 + 89. Calculate the remainder when y(f) is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62*1\/4*2. Let d = o + -11. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.1, 0.011287?\nAnswer: 0.011287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 - 184*v + 1972 + 190*v - 1614 to w*v + f*v**2 + m and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((0 - 2) + 3)*5. Find the second derivative of -2*d + d + 2*d**5 - 4*d**k wrt d.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 784 and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(152)\/sqrt(32) + 3 + sqrt(209)\/(sqrt(297)\/sqrt(3)) + -4.\nAnswer: -7 + 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -89796, -5, 2, 22 in descending order.\nAnswer: 22, 2, -5, -89796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -1abc460?\nAnswer: -1abc45a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -137\/102 - -20\/17. Sort 0.1, -3, t in increasing order.\nAnswer: -3, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 552, 0.27, -5, 0.\nAnswer: -5, 0, 0.27, 552","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52287185 to the power of 1\/2, to the nearest integer?\nAnswer: 7231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, w: 3}. Give prob of picking 2 w and 1 d.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -58*c**2 + 4*c - 4. Let f(i) = i. Determine s(f(r)).\nAnswer: -58*r**2 + 4*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:17 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23680 and 17920?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 8*b - 10. Let r be y(0). What are the prime factors of 3\/6*r*-33?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f**2 - 7*f - 6. Let a = 13346 + -13347. Calculate s(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8556 and 1488.\nAnswer: 34224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8507 - 204133\/24. Calculate the common denominator of u and -47\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 + -22?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4641\/14)\/(19\/((-8170)\/(-15)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3913490, -15653979, -35221466, -62615951, -97837434, -140885915?\n\"Answer: -3913499*p**2 + 8*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -46 - 9ad?\nAnswer: -9f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56\/47 or 0?\nAnswer: -56\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-68))\/(14\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 480\/(-60) - (-70)\/8. Let i(a) be the first derivative of -6 - a - c*a**2 - 1\/6*a**3. Factor i(l).\nAnswer: -(l + 1)*(l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r. Let t(j) be the third derivative of 0*j + 0 + 5*j**2 - 1\/24*j**4 + 0*j**3. What is t(z(k))?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**5\/30 + p**4\/12 - p**3\/2 - 2*p**2. Let f(s) be the first derivative of a(s). Does 9 divide f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, j: 2}. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(130\/20 - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - sqrt(1377)*-1*5 - 5*(sqrt(17) + (2*sqrt(85) + sqrt(85) - sqrt(85))\/sqrt(5)))**2.\nAnswer: 25857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/((-4)\/4). Put 3, -7, h in descending order.\nAnswer: 3, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-88*z + 88*z + 19*z**2) to the form l + j*z**2 + n*z and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfnfaabnnabfbwbbabf. What is prob of picking 1 a and 2 n?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22006*i**4 + i**2 + 45793*i.\nAnswer: -264072*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 - -33.78?\nAnswer: -21.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 4*q - 5. Let i be p(-6). Let c be (1\/4)\/((-2)\/8). Let u = 3 - c. Solve u*g + 5*j - 23 = 0, 5*g + 4*j - i - 15 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -3. Suppose -o + 6 = -2*j + 1, j - h = -o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1264 is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*1*2\/(-14). Let o = 1021 - 1018. Suppose 0 = 5*r + 4*w - 16, -5*w = -r - 10 - 10. Which is the third biggest value? (a) q (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 354, 772, 1346, 2070?\n\"Answer: -r**3 + 87*r**2 + 2*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -758 - -754. Let v be (-367)\/(-420) - (-3 + 4). Let c = -1\/60 + v. Sort c, z, 0.3 in descending order.\nAnswer: 0.3, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 15. Suppose -2*z = 3*z + 5, v*k - 5 = -3*z. Which is the closest to 1? (a) k (b) 0.11 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 9:44 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326*d - 76*d + 192*d - 876*d to the form i*d + g and give i.\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -50*o**2 - 1959*o - 137. Determine b(-39).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 - 5*r + 3. Let i be n(-2). Solve 3*s - i*s = 10*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*(-6)\/((-1)\/1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence utp when three letters picked without replacement from tpipibbuibb?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 220061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/4, -3, 24\/719?\nAnswer: 24\/719","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -23*g**2 + 2*g + 14. Let t(x) = 21*x + x**2 + 1 - 14*x - 8*x. Let v(l) = -2*t(l) - z(l). Differentiate v(y) wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3248 is divided by 201.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/59)*g)\/(g*((((g*g\/g**(2\/17)*g*g)\/g*g)\/g*g)\/g)\/g*g*g*g))\/(((g*g*g**0*g)\/g)\/((g*g**(-10))\/g*g)) assuming g is positive.\nAnswer: g**(-14893\/1003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59153.7873 - -59158. What is l rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -5*o - 9*o. Suppose -17*h - 4*j = -o*h - 268, -2*h = -4*j - 122. Is 5 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1248143226 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - 17) + 10 - -76?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 253860175 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86824349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 3*p - 391. Determine o(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(63) + sqrt(7))**2 - sqrt(7))*-5 + (sqrt(252) - sqrt(7))**2*-3.\nAnswer: -1083 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 3) to base 14\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(16\/(-8832)*-69). Let v be 16\/3 + (-4)\/(-6). Solve -v = -y*h + 38*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105 - -95)*3\/((-30)\/28). What is the hundreds digit of 4\/(-3)*(-9450)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = -3*c, 4*k = 2*c + c - 17. Calculate the least common multiple of (1\/3)\/(1\/12) and (-57)\/(-1*3) - c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72)*-1 + (sqrt(2) - sqrt(8)\/sqrt(4))*6.\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3767, 388, 11663, 33616, 69805, 123788?\n\"Answer: 593*x**3 + 2*x**2 - 2*x - 4360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 454 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:10 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30774, 30798, 30822?\n\"Answer: 24*w + 30750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of b**7\/105 - 11*b**6\/60 + 6*b**5\/5 - 4*b**4\/3 - 10*b**3\/3 - 2. Let u(w) be the third derivative of y(w). Factor u(p).\nAnswer: 2*(p - 4)**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*g - 47496 = 0, -67*t + 31664 = -65*t + 5*g. What is the thousands digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -33664281, -33664268, -33664253, -33664236?\n\"Answer: j**2 + 10*j - 33664292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 0*a - 24*a**3 + 0*a.\nAnswer: -18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 3:46 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, d: 1, k: 5, a: 4}. What is prob of sequence kkad?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -8*k - 51 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -12*o. Let p(l) be the first derivative of 5*l**3\/3 - 1518. Calculate v(p(y)).\nAnswer: -60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103493 is divided by 34497.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 + 2*n - 3. Let w(t) = -15*t**2 + 4*t - 7. Let c(g) = 13*o(g) - 6*w(g). Let p be c(0). Is (46\/p)\/(2\/51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrhr when four letters picked without replacement from {h: 3, o: 1, r: 5, m: 3, n: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -110252.308.\nAnswer: 330756.924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9735 take away -3355.06?\nAnswer: -6379.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1326?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1265 and 9328.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 69856867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (-28 - -45) - (1 + (-2 - 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17313 - 213?\nAnswer: -17526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -43119894*m. Let a(t) = 9*t. What is w(a(f))?\nAnswer: -388079046*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(20\/5)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 10. Let a(u) = 2*u - 10. Let y(k) = -4*a(k) - 3*l(k). Let g be y(-6). Let s(t) = 5 + 3 - 2 - 3*t. What is s(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/1252 (c) -17 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {i: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**2\/2 + 11*y + 106. Give c(8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b = 16. Let c(x) = -x**3 + 4*x**2 + 4*x + 3. Let d be c(b). Suppose 0 = 5*y - 6 - d. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 7*y. Let f(u) be the third derivative of 0 + u**2 + 1\/6*u**4 + 1\/60*u**5 + 0*u**3 + 0*u. What is -5*f(q) - 3*l(q)?\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y. Let b(m) be the third derivative of -5*m**4\/12 + m**2 + 20*m + 394. Suppose 0 = -2*s + 5*p + 18, 4 = -5*p - 6. Calculate s*b(a) - 7*v(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1122 and 561.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -187, 0.03552, 0.1 in decreasing order.\nAnswer: 0.1, 0.03552, -0.2, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*a - 44*a - 20 = 0. Solve -l - a*t = -15, 9 = -3*l - 4*t + 22 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -756.4 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776 divided by -14473.\nAnswer: -1776\/14473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4609528?\nAnswer: 2, 7, 11, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -0.0523.\nAnswer: 0.9414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -41.3. Let h = y - -1.6999974. What is h rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w = 0. Let i = w + 0. Suppose i = -3*s - 2 + 11. Solve -s*n = -7*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/417 and -70\/9339?\nAnswer: 1298121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -30730687\nAnswer: -36876824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23182 + 4?\nAnswer: -2317a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150\/175*(1 - -1378)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -4609\nAnswer: 13827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 834, 1182, 1522, 1854?\n\"Answer: -4*m**2 + 360*m + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 35, -1\/2, 2\/5 in increasing order.\nAnswer: -1\/2, -0.1, 2\/5, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 + -6 + 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 3 = -3*t, 5*t - 53 + 60 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 - f - 9. Let v be j(3). What are the prime factors of 610\/6 + (-4)\/v?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 548, 981, 1414, 1847?\n\"Answer: 433*w + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:56 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/10 + (-189)\/(-35). Suppose -x*b = -b - 2045. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1. Let d be (-8)\/28*(-5 + -2). Let w(x) = -x + 5. What is d*w(j) + 14*p(j)?\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626*u - 1114*u + 287 = 1029*u - 14883 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 8*c - 9. Let w(z) be the third derivative of z**6\/120 - 5*z**4\/8 - 5*z**3\/6 + 235*z**2. Let l be w(-4). What is j(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let g(a) = -a**3 + a**2 + 52. Calculate the remainder when g(0) is divided by 6*(12\/n)\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 2*x**2 - 3*x + 4. Let p be h(3). Suppose 150 = 2*n + 3*u, -n + u + u = -61. Suppose l = -2*j + 1, -4*l + n = -j - p*j. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 11*i**2 + 4*i + 196. What is f(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 79 + -92 + -1 + -8 - -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-29 + 0 + 19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 983864 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3167 - 63299\/20. Let q = 406 + -1615\/4. Let i = q - m. Which is the second biggest value? (a) 0.5 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1407 - -9?\nAnswer: -13ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32201, -128805, -289811, -515219, -805029, -1159241?\nAnswer: -1577855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -356ab48 - -5?\nAnswer: -356ab43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -209 - -211. Solve q = k + y, -1 = -2*k + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 + 301. Calculate the remainder when 64 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 85 + -83.47. Let l = 0.565 - 0.075. Let m = u + l. What is m rounded to 1 dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 12. Let b be h(8). Suppose -5*m + 8 = -4*f, b*m - 1 = -f + 6*f. Suppose 0 = 2*k - k - 3. Solve -2*l + f*l = k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*r + 152 + 1849. Suppose x + 125 = -g, 2*x - 6*x = g + 500. Let d = r - x. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 809863*c**3 - 879560 wrt c?\nAnswer: 2429589*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7*u = 32. Calculate the least common multiple of 11 and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 16. Let n(d) be the first derivative of -3*d**2\/2 + 220. Give n(a(f)).\nAnswer: 12*f - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*j**2 + 2*j**2 - 4*j**2)*(4*j**3 - 2*j**3 - 4*j**3).\nAnswer: -2*j**5 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13)*-2 - sqrt(13))**2 - 6*(1 + sqrt(13) + sqrt(13)).\nAnswer: 6*sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 88, 0.057, 0.11, 4?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*w + 17*w + 24*w)*(2 + 6 - 3) - 148 + 148 - 9*w.\nAnswer: 141*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -91, -75, 2, -8 in decreasing order.\nAnswer: 26, 2, -8, -75, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 5*j + 6. Determine x(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 26*l + 64. Determine x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from vpphphppvhpphpppvp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41 + 1756?\nAnswer: 2017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 3*d - 293. Suppose 405 = 7*p - d. Find the second derivative of -10*u**5 + 67 - 9*u + u**5 - p wrt u.\nAnswer: -180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 29, -0.01, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -2\/3*s**3 + 1\/15*s**5 - 3*s - 1\/45*s**6 + 5\/18*s**4 + 0*s**2 + 3. Factor i(b).\nAnswer: -2*b*(b - 3)*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 times -1260?\nAnswer: 20160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 313604 - 4?\nAnswer: 313600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, f: 3, w: 1, u: 3, x: 3}. What is prob of picking 1 u, 1 x, and 2 f?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w + 223. Let r = -3 - -6. Suppose -4*u = -r*u. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-165)\/99 - 1 - -23).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 480 = -0*w - 2*w, 4*j = w - 240. Suppose 0 = -2*c + 116 + w. What are the prime factors of c?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -9\/11, 0.2, 2, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u + 4*u - 2*u**2 + 21*u + 14*u.\nAnswer: -2*u*(u - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 198770*w + 201682800.\nAnswer: -5*(w - 990)*(w + 40744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h - 7. Let j be s(-2). Suppose -j = -2*w - 3*u, -1 = -3*u - 10. Suppose -29*q + 1215 = -w*q. What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-2 - 2 + 6)*(-h**3 - 2*h**3 - h**3 + (0*h + 0*h - h)*(2*h**2 - h + h)) to a + p*h**2 + u*h + r*h**3 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*v - 126*v - 108*v - 190*v + 38*v + 92*v.\nAnswer: -484*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + 34. Let k be p(5). Let q(m) = m**3 - 9*m**2 - 1. Let n be q(k). Let j(y) = -2*y**2 + y - 4. Let u(i) = 1. Determine n*j(r) - 4*u(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-4))\/3)\/((-15)\/(-30))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13095 and 675.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -27, -321 in ascending order.\nAnswer: -321, -27, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.7 + -0.3. Let l = 4.5 + s. Which is the third biggest value? (a) -0.4 (b) 1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -430140? (a) -2 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**8\/15680 + i**7\/1470 + i**6\/336 + i**5\/140 - 143*i**4\/12 + 113*i. Let m(x) be the third derivative of y(x). Factor m(q).\nAnswer: 3*(q + 1)**2*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sluussussuuusu. What is prob of sequence ls?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.222857 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 + 116*m - 857. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -63b2199?\nAnswer: -63b2198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from ewpeweaweeeqw?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**3 + 117*m**3 - 1 - 19*m**3 + 0 to the form q + v*m + a*m**3 + y*m**2 and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 12*d**3 - 4*d**2 + 5*d - 1. Let g(x) = x**3 - x + 2. Let f be g(0). Is l(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - a = 19, 16 = -5*a + 1. Suppose -g*p - 2 = -22. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -170*t - 1. Let r be q(-1). Suppose 3*b - r = 2*b. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 45*i + 9. Give h(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1632*k - 289. Let i(t) = -34*t + 6. Let r(b) = -6*c(b) - 289*i(b). Let w be r(1). Let f = w - 24. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7384636 is divided by 142012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.98 - -7. Let b = 2.98 + v. Sort 1\/4, b, 0 in descending order.\nAnswer: b, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*c + 9. Which is smaller: -1 or c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 1, -4, 3, -2465, 4 in decreasing order.\nAnswer: 4, 3, 1, -3, -4, -12, -2465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937257 to the power of 1\/2, to the nearest integer?\nAnswer: 2437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/6*-2)\/((-8)\/(-62)). Which is smaller: 8 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1231498987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2459928 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: What is the fourth smallest value in 273, 4, -2.199, 5?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36143 + 36185. Let s(i) = -i**3 + 44*i**2 - 83*i - 41. Determine s(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 + 3 = 0. Let x = f + 3. Let u = 1596 + -1599. Which is the closest to 0? (a) x (b) 2\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4080163 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14932896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 4*i + 11, -i + 117*w = 119*w + 14 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16021388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 1512*c**5\/5 - 324*c**2 - c - 1660. What is the second derivative of r(h) wrt h?\nAnswer: 18144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1)*(-4)\/6. Let n be l\/(-3)*(-9)\/(-2). Find the second derivative of -2*g - g**5 - 2*g + 2*g + n*g wrt g.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*b**4 + 3)*(5*b - 2*b - 2*b) + (-1 - b + 1)*(-1 - 2 + 5)*(-7 + b**4 + 7).\nAnswer: -5*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4645.12 microseconds in seconds?\nAnswer: 0.00464512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 857 + -810 + -41 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-24) - 10*32\/40?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 8*g**2 - 9*g - 8. Let c be b(-7). Let q(i) = 5*i + 2. Let z be q(c). Factor -12*d**2 + z*d - 5*d**2 + 13*d**2 - 64.\nAnswer: -4*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y + 8. Let l be s(-6). Let w be l\/(18\/(-4) + 1). Which is the second smallest value? (a) 5 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63 - 87) + 27 + (0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7912a9 (base 11) in base 14?\nAnswer: 24b6a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u**2 - 207*u = 0 for u.\nAnswer: -207\/32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + 15.88. Let c = f - 18. Let j = -3.8 - -3.7. Sort c, 3, j in increasing order.\nAnswer: c, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 6) + (260 - 1). Let t be (7 - 0) + -1*1. Is -1 + r + t\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66 and 580004?\nAnswer: 38280264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7111 = 263*r + 65214. Which is smaller: -1095\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 + 2*f - 1. Determine a(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*u - 15*u - 2*u**3 + 81*u - 3*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -7*g**5\/6 - 85*g**4\/6 - 41*g**3\/3 + 37*g**2\/3 + 89*g\/6 + 11\/6 = 0.\nAnswer: -11, -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**2 - 333*q - 18. Let p(l) = 5*l**2 + 166*l + 8. Let a(n) = -9*p(n) - 4*w(n). Let k(v) = -8*v. Give k(a(j)).\nAnswer: 8*j**2 + 1296*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*n**2\/11 - 34452174*n\/11 - 20671308\/11.\nAnswer: 2*(n - 3445218)*(5*n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 223*n**2 + 158*n + 83. Is q(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148 + -39. Let y = 162 - a. Let u = -49 + y. Which is greater: u or -1\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 840 + 89785\nAnswer: 90625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1404 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tym when three letters picked without replacement from {y: 3, r: 3, m: 3, q: 2, a: 1, t: 2}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 2*t + 6. Let g(y) = 1. Suppose -36 = 3*v + 27. Let j be -2 + -1 + (-19 - v). Calculate j*b(u) + 4*g(u).\nAnswer: u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + (1 + sqrt(343))*-3 + 5 + 3 - (-4 + (sqrt(343)*-1 - sqrt(343)) + (sqrt(343) - (-3 + (sqrt(343) - (sqrt(343) - sqrt(343)*3))))))**2.\nAnswer: 168*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 29*h**2 + 102*h + 48. Let u be a(-25). List the prime factors of (-797)\/(0 + u + 18\/12).\nAnswer: 2, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 619645 and 4?\nAnswer: 619641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/434 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 24*k**3 + 3*k**2 + 16*k + 24. Let r(m) = 48*m**3 + 6*m**2 + 33*m + 49. Let v(b) = -13*p(b) + 6*r(b). Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.77 - 12.77. Sort -3, w, -1\/2, 2\/9 in ascending order.\nAnswer: -3, -1\/2, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, c: 4, z: 6, r: 3, t: 5, u: 1}. What is prob of picking 2 r and 2 z?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 9, a: 6, g: 2}. What is prob of sequence za?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j. Let t be (-8)\/28 - (-29)\/(-21). What is the closest to -2\/7 in 2\/9, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -193*d**3 + 2*d**2 - 5*d. Let n be 2\/(-4) - 8\/(-16). Suppose -6*z + 58 - 88 = n. Let c be v(z). What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 678 = 5*k + s, k - 3*s - 152 + 10 = 0. Suppose 0*f - f = -k. Suppose 3*y - 245 = f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 901719?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(152)*-4)\/(sqrt(24)\/(sqrt(15)\/sqrt(5))) + (sqrt(684)*1 + sqrt(684) + -3 - (0 + sqrt(684) + -2))**2.\nAnswer: -20*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 + 9*x + 5*x**2 - x**3 - 8 + 9. Let o(w) = -3*w + 4*w**2 + 3*w**3 - 5*w - 9*w**2. Let f(h) = 3*o(h) + 2*z(h). Give f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142560 (base 10) to base 5\nAnswer: -14030220","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 4291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 2*l**2 - 2*l + 1. Suppose 5*b = -3*m + 7*m + 1, -4*m + 9 = 5*b. Let v be n(b). Let -j + v - 1\/2*j**2 = 0. What is j?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -10, 3, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -1.9. Let w = -5\/2068 - -4161\/10340. Which is the nearest to j? (a) 14 (b) w (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/((p*p**(1\/37))\/p*p))\/(p\/(p\/(p**(16\/5)*p))*(p*p*p\/(p**15*p))\/p) assuming p is positive.\nAnswer: p**(-42\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**3 - 57*r**2 + 19*r - 8. Determine f(-12).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 31. Let y(i) = -i**3 - 5*i**2 - 3*i + 5. Let f be y(-4). Calculate the highest common divisor of f and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, 14, 366, 1112, 2396, 4362, 7154?\nAnswer: 10916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 divided by -18?\nAnswer: 251\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1541.6652 months?\nAnswer: 12.84721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z\/(z*z*z**(-35)\/z)*z)\/z*z**(-8\/7)\/z*(z\/(z*z*(z**5\/z)\/z)*z*z)**(-7\/3) assuming z is positive.\nAnswer: z**(830\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + (2*(sqrt(468)*2 + -2) - (-6*(sqrt(65) + sqrt(65) + sqrt(65)*2))\/(-4*(sqrt(5) + sqrt(20)\/sqrt(4)))))**2.\nAnswer: -168*sqrt(13) + 5749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 4, z: 3, a: 2}. What is prob of picking 1 a, 1 z, and 1 v?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (4\/(-3))\/((-12)\/594)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 3 + 9 - 2*a. Let f be o(8). Suppose -2*y = 3*y + 15. Put -5, f, y in descending order.\nAnswer: f, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27718?\nAnswer: 2, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/4*(56\/(-336))\/((-5)\/(-2))?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Let w be (-1414)\/(-6) - (-1)\/i. Let d = w + -75. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*p**2 + 0 - 51\/8*p.\nAnswer: 3*p*(p - 17)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47597 divided by 181?\nAnswer: -47597\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-15))\/((-33)\/42). Let k = r - 9\/11. Which is the nearest to -2\/13? (a) -1\/5 (b) -14 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1\/7)*s*s\/s**(-2\/15))**(-37) assuming s is positive.\nAnswer: s**(-15503\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/45, 1\/6, -3\/7 in decreasing order.\nAnswer: 1\/6, -2\/45, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 826, 2673, 6264, 12181, 21006, 33321?\nAnswer: 49708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/39 - 4536\/(-702). Let r(i) = -7*i - 2. Suppose 0 = m + 2*m. Suppose -k + 19 - 6 = m. Let x(a) = 3*a + 1. What is k*x(p) + n*r(p)?\nAnswer: -3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y - 2*y - 3*y**3 + 4*y**3)*(185 + 22 + 1612).\nAnswer: 1819*y**3 + 3638*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 297 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*b - 5*m, 2*b + 3*m + 8 = -0*m. Let q = -3 - -3. Let t(n) = -2*n**3 + 10*n**2 - 11*n + 13. Let h be t(4). Solve -r - h + b = q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4 + 0*v**2 - 1 - 4*v**2 + 9*v + 5*v**2. What is the units digit of c(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 482, 493, 504, 515?\nAnswer: 526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*y + 52 = 0, -4*t - t - 52862*y - 16 + 7 = -52864*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -5667 and 18444 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -1982?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -7. Suppose 60 = -0*i + j*i. Let r = -9 + i. Solve r*v = 2*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 137, 260, 371, 464, 533?\n\"Answer: -z**3 + 130*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 12:50 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4738 - 60?\nAnswer: -4808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + sqrt(114) + sqrt(114) + -2*sqrt(114)*-2 + sqrt(114))\/(sqrt(12)\/sqrt(2)*-4) + (2*sqrt(190)\/sqrt(10))**2 + sqrt(475) + 2.\nAnswer: 3*sqrt(19) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1779 - 1419 = -3*h. Is (-7 - -5)*h\/(-4) - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 110563 - 110562.300065. Let s = 4.28 + -4.98. Let x = c + s. Round x to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2 (c) 1\/4 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 206780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + k + 5*i - 31 = 0, 2*k = -2*i + 16. Let q(c) = 0*c**2 + 1 - c**2 - k + 13*c - 4. Let x be q(12). Which is smaller: x or -2\/81?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -30*g - 40. Let o be b(7). Let t = o - -252. Solve 0 = -t*d - d - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -52 + 53 - 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 782, 1582, 2384, 3188, 3994, 4802, 5612?\n\"Answer: o**2 + 797*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4341.922mg?\nAnswer: 4341922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1.4. Put -0.2, z, 1 in descending order.\nAnswer: 1, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -808*f. Let r be p(0). Solve 45\/7*c**3 - 39\/7*c**2 + 3\/7*c**5 - 3*c**4 + 12\/7*c + r = 0 for c.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)*(-8)\/16. Let v = -1\/141 - -289\/987. What is the closest to f in v, -1, 0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.05, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n**2 + 4*n - 2. Let y(v) = -v + 15. Let q be y(13). Let u(f) = -2*f**2 + 2*f - 1. What is q*o(w) - 5*u(w)?\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -69\nAnswer: -5\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in centimeters?\nAnswer: 1060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67520934 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -447, -817, -1187?\nAnswer: -1557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 81, 2\/7, 2 in descending order.\nAnswer: 81, 3, 2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20730.\nAnswer: 2, 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 6. Let a = -9 + o. Let c be 16\/(-15) + (-4)\/a. Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 630 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 64*l**2 - 5*l + 4. Let u be g(1). What is the highest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-27813340)\/(-532) + (-10)\/(-35).\nAnswer: 3, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5751687 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.4 in -56, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2100122301 + -1003?\nAnswer: 2100121232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, 24, 62 in decreasing order.\nAnswer: 62, 24, 5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/29, -0.5, -12\/131, 4, -5, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3 - 10*b**2 + 3 - 3 as y + p*b**2 + g*b and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2101 - 12703\/6. Calculate the common denominator of -67\/234 and o.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3) - (-370)\/6. Let w be (-42)\/(-15)*n\/(-4). Let h = w - -2357\/55. Is h greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 - (194 + -104 + -195)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-62)\/((4 - -4) + -6). Let d be i\/(-93) - (-4)\/(-30). Factor -d*s**3 + 0*s**2 + 0*s**4 + 1\/10*s + 0 + 1\/10*s**5.\nAnswer: s*(s - 1)**2*(s + 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Suppose 0 = 2*i - o*n - 24, 7*i - 2*n - 18 = 2*i. What is the derivative of -5 + 2 - 7 - i*k**3 + 4 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Suppose -4*t - 41 = -y, -3 = t + 2*y - 4. Let g be 3*((-24)\/t + d). Solve -c - g = -2*z - 0*z, 6 = -2*z - 4*c for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -16. Let k = j + 8.99762. What is k rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2174227 + 1757\nAnswer: 2175984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -8*q + 6*q + 0*q - 5 - 2*q - q**2. Determine j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107*x**2 + x - 384*x**2 - 372*x**2)*(-13 + 13 + 3*x)*(6 + 0 - 4) in the form m*x + j + k*x**2 + h*x**3 and give h.\nAnswer: -5178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 271, 263, 251, 235, 215?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3314386.\nAnswer: 2, 37, 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/44)\/5*-106 + (7 - 12)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a234 - 10?\nAnswer: -3a244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10784*u = -10737*u + 47 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44\/3*c**4 + 224\/3*c**2 - 1600\/3 + 1120\/3*c - 272\/3*c**3 - 2\/3*c**5 = 0 for c.\nAnswer: -2, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x + 13. Let g be q(6). Suppose g + 49 = 4*j. Calculate the greatest common divisor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b - 35. Is a(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 371\/5 + -74. Let p(o) = o**2 + 3*o + 5. Let l be p(-4). Let g be 3*6\/l*7\/112. Which is the closest to 1\/2? (a) g (b) f (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41853 (base 15) to base 9.\nAnswer: 345876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1473, -1467, -1455, -1437?\n\"Answer: 3*o**2 - 3*o - 1473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/2)\/((-1)\/(-2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z - 2. Let c be h(-3). Let p(g) = -4*g. Let x be p(c). Find the common denominator of 131\/6 and (x + 2)*196\/40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let u(s) = -4*s + 5. Let l(m) = -4*m + 13. Let f(n) = n - 3. Let y(g) = -9*f(g) - 2*l(g). Calculate d*u(h) - 10*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 689*h + 19. Let j be y(-1). Let l = j + 1720. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 598*b + 8 = 602*b, 0 = 3*n - 3*b + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79 + -75. Let i(r) = 4*r - 31. Let v be i(7). Which is the fourth biggest value? (a) v (b) 3 (c) w (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(4)*-2)\/((sqrt(126)\/sqrt(2))\/sqrt(9)) - -6*((2*-2*sqrt(5))**2 + (4 + -2*sqrt(5))**2 + 3).\nAnswer: -98*sqrt(5) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 20*o**2 + 3*o**2 + (2*o**2 + 0*o**2 - o**2)*(-4 + 0 + 2).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -301 (b) -29 (c) -0.4 (d) 2.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*a = 40, 7*q = 2*q + 3*a + 58. Solve -4*d - 5*o = -3 + q, 4*d - 13 = 3*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 21*j + 18)*(-265*j**2 - 17*j**3 + 265*j**2) + (-2*j**2 + 5*j**2 - j**2)*(-1 + 2 - 2)*(2 - 5*j - j**2 + 5*j) + 0*j**4 + 5*j**4 - 3*j**4.\nAnswer: -353*j**4 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110011 + 1?\nAnswer: -10110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 793 + -789. Let r(q) be the second derivative of 0*q**2 + 1\/90*q**6 - 12*q - 1\/36*q**c + 0 - 1\/18*q**3 + 1\/60*q**5. Factor r(v).\nAnswer: v*(v - 1)*(v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -191*o**4 - 193549*o**3 + 51004*o**2 + 3*o - 1 wrt o.\nAnswer: -4584*o - 1161294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 8880*t**3 + 6345450*t**2 - 334110000*t + 4246921875.\nAnswer: 3*(t - 25)**2*(t + 1505)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4604103853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -2*l - 14. Suppose -6*t - 19*t + 294 + 131 = 0. Which is bigger: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z - 114 + 30 = 0 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -20123?\nAnswer: -20133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**4 + w**3 + 6*w**2 - 105*w - 5202. Let u(p) = -2*p**4 + 4*p**2 - 103*p - 5201. Let f(m) = 2*h(m) - 3*u(m). Differentiate f(l) with respect to l.\nAnswer: 16*l**3 + 6*l**2 + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10*u**3 - u**2 + 34*u + 34. Calculate d(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 n, 1 h, and 1 m when four letters picked without replacement from mnnvhmpnmpn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l. Let n(f) = -21*f. Determine 4*n(x) - 14*r(x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*q**3 - 3769*q**2 + 2*q + 3769*q**2 to i*q**3 + t*q**2 + f + m*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (16 + -11 + -1)) + -23?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6690022220 - -0.17.\nAnswer: 6690022220.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404151442 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.605 less than -38.0614?\nAnswer: -39.6664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7102 - 21*b**3 + 3*b + b**2 - 26*b**3 + 7101 to the form u + w*b + d*b**2 + h*b**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, s: 1, y: 2, v: 2}. Give prob of picking 1 s and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-2178) - (-1045)\/(-38115)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*n + 23, 0 = 3*k - 6*k - 3*n + 93. 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: Convert 1903.384 kilometers to millimeters.\nAnswer: 1903384000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3473 is divided by 2273.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 975\/7 + -139. Let v = -1063 + 1062.9572. Let x = v + -5.9572. Is d smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**2. Let d(m) be the first derivative of -5\/3*m**3 + 154 + 0*m + 0*m**2. Calculate d(f(g)).\nAnswer: -45*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*18\/3591*-7\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + 607*a + 2027*a - 4*a**2 + 1170*a to the form x*a + k*a**2 + o and give x.\nAnswer: 3804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*w**2 + 28*w**2 + 14*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -173\/7. Put v, -2.3, 0.1, 0.4 in descending order.\nAnswer: 0.4, 0.1, v, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*3*4 - 6*-3*sqrt(152))\/(4*-2*sqrt(512)*5).\nAnswer: -3*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 3:30 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (0 - 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0*m**3 + 1\/336*m**8 + 0*m**5 + 2*m**2 + 3\/20*m**6 - m - 4\/105*m**7 - 9\/8*m**4 + 0. Factor j(q).\nAnswer: q*(q - 3)**3*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00126745 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 65 = -4*j, 2*j + 2*r = r + 31. Let u = -22 + j. Let c(a) be the first derivative of a**3\/3 + 4*a**2 + 6*a + 17. Give c(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 1, w: 1, p: 1, r: 1}. Give prob of sequence xh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 + -0.63. Let x be -330*(-20)\/(-195) + 34. Which is the fourth biggest value? (a) x (b) q (c) -2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13120 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 8573803.66 to the nearest 1000.\nAnswer: 8574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9251\/608 or -14?\nAnswer: -9251\/608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m + 199 = 87 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -2 (c) -5.208 (d) 1.28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 68 = -4*r, 6*j = 911*r - 912*r - 17 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-12))\/(o*o*o**(-3\/7)) assuming o is positive.\nAnswer: o**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9*-1*(-2)\/(-6). Suppose 14 = -0*l + p*l - 5*q, 0 = 4*l - 2*q. Let f = 859514 - 859519. Sort 2, f, l in ascending order.\nAnswer: f, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecceee. What is prob of picking 2 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -1. Suppose g*l - 42 + 3 = 0. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 544 = 2*j. Let q = 129 - j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 x when four letters picked without replacement from xcnmifcnincnxxn?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 13*d - 11. Let p be a(-14). Let h(b) = -b**3 + 3*b**2 - 3*b + 5. Determine h(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 842, 1265, 1688, 2111?\nAnswer: 2534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 3 - 23)*(-1474*x + 1474*x + 66*x**3)*(-3*x - 3*x + 5*x).\nAnswer: -2376*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 371316.3 + 0.5.\nAnswer: 371316.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 306, 532, 890, 1446, 2266?\nAnswer: 3416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 + 1)*(4*v - 2*v - v) - 2*v + 4*v + 3*v - 1 - v + 1)*(-v + v - v**3).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39254\/19 + (-3 - -9) is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3400671?\nAnswer: 3, 151, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1221*a**2 + 519*a**2 + 525*a**2.\nAnswer: -177*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 6*r**3 - 9*r**2 + 3*r + 70. Let k(w) = 9*w**3 - 14*w**2 + 5*w + 108. Calculate 8*a(d) - 5*k(d).\nAnswer: 3*d**3 - 2*d**2 - d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142857 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5368?\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-102))\/(((-40)\/(-45))\/(-8)*-3)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92\/(-22) + (5 - 1) + 19912\/(-1441).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 32*y - 31*y. Suppose -9*f + 6*f - 2 = 5*h, -5*h - 50 = -y*f. What is the biggest value in 0, f, -12?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d - 113391. Let r(j) = j**2. Calculate h(r(u)).\nAnswer: -2*u**2 - 113391","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 16945300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilnmiliiilim. What is prob of sequence nl?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 8*c**2 + c - 3. Let y be v(7). Calculate the common denominator of 37\/(-8) - (-1 - -2) and 110\/y - (-4)\/(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(-5*a + 4*a - 2*a + (4*a - 4*a + a)*(9899 - 7304 + 4698)) to the form y + c*a and give c.\nAnswer: -7290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49437359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -925*p - 193*p - 261*p + 82*p - 758*p - 4878 wrt p?\nAnswer: -2055","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49278.64 grams to micrograms.\nAnswer: 49278640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:02 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 8*g - 9. Let d be q(7). Let s(n) = n**3 + 3*n**2 - n - 2. Is s(d) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-30) - (-1)\/5. Suppose 3*o - i*t = -2*o + 101258, 0 = 2*o - 5*t - 40520. Round o to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/9 + -3*(5 + -2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 3 + 3 + 5*i. Let v(l) = l**2 - 2*l - 2. Let r be v(5). Is 19 a factor of s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 - -13 - 1\/(2\/4). Let q be (0 + 4)*2\/2. Suppose -3*d + y = 2*p, -q*p = -d + 2*d - 79. Calculate the highest common factor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 152 + -147. Suppose -j*x + 140 = -19*x. Which is bigger: x or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12212, 12197, 12178, 12155, 12128, 12097?\n\"Answer: -2*z**2 - 9*z + 12223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z + 4*z - 108108 = 0. List the prime factors of z.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196.58 + 196.48. Sort 321, 0, 0.5, 2\/3, m.\nAnswer: m, 0, 0.5, 2\/3, 321","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 4*n + 2*n)*(-14*n**3 + 6*n**3 - 8*n**3) + (-2*n**3 - 2*n**3 + 2*n**3)*(6*n - n - 4*n).\nAnswer: -34*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 741337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -4416.9.\nAnswer: -1325.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 6:55 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5256.6 * -40\nAnswer: -210264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, u: 1, d: 2}. What is prob of picking 1 u and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 15*k + 8. Let x(d) = 18*d + 9. Let m(s) = 7*t(s) - 6*x(s). Let b(a) = -a. Determine 2*b(y) - m(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 0.02, 2\/29, 2, -4 in descending order.\nAnswer: 2, 2\/15, 2\/29, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 19. Let n(d) be the second derivative of -1\/12*d**r - 1\/15*d**6 + 0*d**3 + 0*d**2 + 0*d**5 + 0 + 2*d. What is the third derivative of n(a) wrt a?\nAnswer: -48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -0.1. Let f(k) = 2*k - 8. Let l be f(5). Let a = l + -7\/3. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 687 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v + 90. What is the tens digit of g(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l**2 - l - 1. Let u be n(-1). Suppose 4*k + 16 = 4*z, -15 + 11 = k - 4*z. What is the tens digit of 3280\/u + k\/22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**3 - 26*o**2 + 10*o - 65. What is the tens digit of d(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 2*m + v - 177, 2*m = -5*v + 157. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -9, -3, 3, 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/9 + (-105)\/(-49) + (-3)\/21.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*i - 21 = -0*o, -3*o = -11*i - 4*i - 102 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614254835.\nAnswer: 5, 122850967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180*m = 727*m - 24204 + 648 for m.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-341475)\/3264030 - 3\/(567\/6).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/20 - y**5\/12 + 13*y**4\/24 - y**3\/3 + 2*y**2 + 7*y. Find the second derivative of f(o) wrt o.\nAnswer: 36*o - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zn when two letters picked without replacement from {z: 10, n: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)\/(p*p*p\/(p*p\/(p*p\/p**(-7)))*p*p)*(p*p**(-3))\/(p*(p\/(p**6*p))\/p))**(1\/9) assuming p is positive.\nAnswer: p**(-49\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 2*b + 2. Suppose l = -13 + 22. Calculate the remainder when w(-3) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(76) - (-4 + sqrt(76))) + (-1 + sqrt(76))*-3)**2 + -3.\nAnswer: -96*sqrt(19) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -206*u + 1. Let s be g(-1). Let n = 408903 + -408876. Calculate the highest common divisor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7035 divided by 35.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101214839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -868441\/550 - 3332\/275. Let l = k - -1595. Find the common denominator of l and 71\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2583, -1 in increasing order.\nAnswer: -2583, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 130*y - 2. Let c be l(1). Calculate the greatest common factor of c and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3\/7, 0, -386\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 + 6583.\nAnswer: 6673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1142624103 - 0?\nAnswer: -1142624103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 11 = -q, 54*z - 36 = 58*z + 4*q for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001317 rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(640) - sqrt(640))*-5*2)\/((sqrt(24) + sqrt(72)\/sqrt(3))\/((sqrt(243)*-1 - sqrt(3)) + sqrt(3) - sqrt(3))).\nAnswer: 600*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 13 = -0*h + 4*h, 5*b = -4*h + 17. Suppose 3*i = 5*r + 51, 0 = h*i - 4*r - 0*r - 54. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*f + 135, 2*g + 2*f = 6*g + 130. Let n be (-5)\/g*-2 - (-136)\/(-6). Let t = -1 - n. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25058 and 10?\nAnswer: 125290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 3. Is -1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92702221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-6*(3*sqrt(1088) + sqrt(1088)) - (-5*(sqrt(1088) + 2) - sqrt(1088))))**2.\nAnswer: -3744*sqrt(17) + 352681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 492393 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 452, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10184 by -183.\nAnswer: -10184\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 29 = 3*d - 4*o, 2*d - 4*o - 14 = 0. Suppose -d*q + 4*i = -73, -11*q + i - 20 = -12*q. Solve q*y = 12*y + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1015101 - -20?\nAnswer: -1015041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 2*k - 4*k + 0*k - 151*k**3. Let j be n(1). Let y = -272 - j. Round y to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61408 is divided by 11648?\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*d = 6, -4*m = -3*m + 3*d + 6. Let j(y) be the second derivative of -1\/2*y**2 - y**3 - 1\/12*y**4 + m + 8*y. Calculate j(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -721, 1\/8, -0.4, -296, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180245 is divided by 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*78\/65. Suppose -2*t = o*t - 25. Suppose 37 - 7 = t*w. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22111.81ml in litres?\nAnswer: 22.11181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 37*n + 102. Give f(15).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (30\/(-35))\/((-1)\/(-7)). Let y = j - -3. Let n = 5 + y. Solve n*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) -4 (b) -3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 25*w**2 - 4*w - 4. Let s(o) = 60*o**2 - 12*o**2 - 2*o + o**2 - 2 - 36*o**2. Calculate -4*g(n) + 7*s(n).\nAnswer: -9*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*d + 36 = 0. Let k(l) = -l**3 - 7*l**2 + 6*l - 10. Let c be k(-8). Let n = c - d. What is the least common multiple of 2 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.389 + -10?\nAnswer: -10.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150721 by -1.\nAnswer: 150721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(11) - sqrt(44)) + (-1*sqrt(704) + sqrt(704))**2.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2709 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -520 and 0.01.\nAnswer: -519.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 69.0031. What is q rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 410 or -8588?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -31.3. Let j = n + 4.5. Let q = 1.4 - j. Which is the biggest value? (a) -16 (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-21*2\/6 + -20). What is the highest common factor of c and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223809662*a*m**3 + 19*a*m**2 + 680*a*m - m**2 - 2*m - 159 wrt m?\nAnswer: -1342857972*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1656 + -1.1856. Which is the nearest to -2? (a) x (b) -0.2 (c) -2\/3 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1046 - 1042. Solve -5*u + 5*i + 10 = 0, 9 = 2*u + 3*u - v*i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -23\/11379?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -899052, -899007, -898936, -898827, -898668, -898447?\n\"Answer: 2*n**3 + n**2 + 28*n - 899083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -30627446 greater than or equal to -30627446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*k + 20. Suppose -5*j = 0, 0*j + k = -5*z - 4*j. Let o(x) be the second derivative of x**3\/6 + x. Calculate o(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -613, -248, -4, 2 in ascending order.\nAnswer: -613, -248, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*h**2 + 226*h**2 + 193*h**2 + 74*h**2.\nAnswer: 523*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67265 and 111293.\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**3\/3 + 6*y**2 + 9*y. Let g be b(5). Solve 2*u - 12 = -g*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300)*-2*-3 + 2.\nAnswer: 2 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/6)*b**(-2)\/b)\/(((b\/(b**(2\/5)*b*b))\/b)\/(b\/(b**(-2)\/b)))*((b\/((b\/(b*b*b**10))\/b))\/(b*b**(4\/5)\/b*b*b))**(-3) assuming b is positive.\nAnswer: b**(-821\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 89896.149s?\nAnswer: 24.9711525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f + 2*f + (-2*f + 0*f + 0*f)*(-1 + 4 - 1) - 3*f + 3*f + 3*f)*(2*f**2 - f**2 + 3*f**2).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2145 - 2145.016. Which is the third biggest value? (a) -0.3 (b) k (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 18*k**2 - 12*k - 15. Let r(a) = -9*a**2 + 6*a + 8. Let q(i) = 9*r(i) + 5*x(i). What is y in q(y) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 727\/9 (c) 1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597212394 to the power of 1\/3, to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j. Let f(u) = -3*u + u + 2*u - u. Calculate a(f(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9 + (-244)\/(-28))\/((-5)\/35). Let q(b) be the first derivative of -1\/2*b**4 - 4\/3*b**3 + 19 + 16*b + 4*b**s. Factor q(d).\nAnswer: -2*(d - 2)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 9*a**7\/35 - 3*a**4\/8 - 47*a**2. Find the second derivative of r(t) wrt t.\nAnswer: 648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-8)\/(j**(-7\/4)\/j*j) assuming j is positive.\nAnswer: j**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 118 + -98. Solve 0 = -5*y + y - x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5538843, -11077861, -16616881, -22155903?\nAnswer: -27694927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 109989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2734b (base 13) in base 2?\nAnswer: -10001110101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 14 = -4*k. Let r = k - -20. Suppose -2*c + r = 3*h, 5*c - 65 = -6*h + 4*h. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 6*v - 3. Let l be c(-6). Let n be (264\/(-286))\/12*0. Sort l, 1, n in descending order.\nAnswer: 1, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -51*k**2 - 43*k**2 + 140*k**2 - 42*k**2 + k. Let r(q) = 4*q**2 + q. What is 3*p(o) - 4*r(o)?\nAnswer: -4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 319*c**2. Let n(u) be the third derivative of u**6\/360 + 7*u**4\/2 + 62*u**2. Let p(k) be the second derivative of n(k). Calculate p(z(g)).\nAnswer: 638*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23836 - -13553.03189?\nAnswer: -10282.96811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30633.57ms to minutes.\nAnswer: 0.5105595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = h - o - 3, 0 = -o. Let u be 4\/8*(1 - h). Suppose 0*v**4 + 4\/3*v**5 + 0*v + 0 - 4*v**3 + 8\/3*v**u = 0. What is v?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*t**3 + 2 + (t + 2*t + 0*t)*(3*t**2 - 4*t**2 + 3*t**2) - t**3 + 4*t**3 + 0*t**3.\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does -3848 = -3846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (4 + -16 + -18 + 24)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21550 - 42230.33\nAnswer: -20680.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bblylnlblb. Give prob of sequence yb.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 65 + 90. Solve 2*r - d*q = -r, -2*q = -5*r - 19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45256 + 91393. Let l(q) = -1 + 5 + 0*q**2 + 46144*q - w*q + q**2. Give l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/3, 2\/65, -7.9, -0.5, -4\/7, -3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 299 = -2*q, -120 = -q - 4*p + 12. Let g be -1 - (0 - -1 - 10). What is the highest common factor of g and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 5*x - x)*(-99 - 101 - 5).\nAnswer: -615*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1613.937 minus 7?\nAnswer: 1606.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 39384.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/3, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68 and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 1\/120*v**6 - 5\/2*v**4 - 23*v**2 + 0*v + 0*v**5 + 0 + 152\/3*v**3. Find the first derivative of x(m) wrt m.\nAnswer: 3*m**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -577a (base 13) to base 11\nAnswer: -9244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 68611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162*-7595.\nAnswer: 1230390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 402604 by -1.\nAnswer: -402604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-2))\/g)**(7\/3))**(8\/3))**37 assuming g is positive.\nAnswer: g**(4144\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.1, -185?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4cd (base 15) to base 2.\nAnswer: -10001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 298*r**2 + 111*r + 685. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -27*g - 3. Let s = -21264 - -21266. Let c(d) = -7*d - 1. What is s*y(q) - 9*c(q)?\nAnswer: 9*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wmmwfwmfwpmmf?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -0.7, -2, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 - 10*f - 40. Let u be c(-4). Suppose -10*q = -18*q + u. Which is smaller: q or 24?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 108 = -i. Solve 4*y = 7 - i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 17 - 12 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -299, 0.1, 47 in decreasing order.\nAnswer: 47, 0.1, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/7 or 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79? (a) -23 (b) 0 (c) -170.5 (d) 2\/13 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/6*y**2 - 1\/6 - 1\/6*y**3 + 1\/6*y = 0. Calculate y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*z + 59*z + 16446 = -2*p, 5*z - 4*p = 20565. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26610474 and 120768.\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1225)*-2)\/(sqrt(180) - 6*sqrt(180)*2 - sqrt(180)).\nAnswer: -7*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6908b - -5?\nAnswer: -69086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 42316.\nAnswer: 550108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -896029*z**4 - 2*z**2 + 6086480*z wrt z.\nAnswer: -10752348*z**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**2 + 49592*f - 58584 with respect to f.\nAnswer: -2*f + 49592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3308 and 2596?\nAnswer: 2146892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123268*a + 23*a**2 - 123268*a.\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*o - 60750 = -99*o. Does 70 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 34. Solve 0 = -l + 5*f + 12, f - 5 - p = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 980085146?\nAnswer: 2, 131, 3740783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/2 - (-90)\/12. Is 7 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/38, 7, 4\/9, -2, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from fjfffjajf.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*s = 35305 + 1340, 4*s - 183177 = -5*z. List the prime factors of z.\nAnswer: 3, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.9 - 5.9. Let d = 358 - 357.993. Which is the biggest value? (a) r (b) d (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 5. Let x be y(-5). Suppose 2*s + 2*f - 9 = 3*s, 3*f - 6 = x. Is 35 a factor of ((-20)\/2 - s)*-49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 2*y**2 + 4*y**2 + (2 - 2 - 3)*(2*y**2 - 7*y**2 - 4*y**2).\nAnswer: 28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05703447 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert a432 (base 13) to base 5.\nAnswer: 1211222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**5 - 121039*c**4 - 3662670395*c**3 - 3662065205*c**2 + 14650681596*c + 14650197444 = 0.\nAnswer: -60519, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p - 374*p = -85*p - 122*p + 5022 for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 7*v**2 + 6. Let c be t(-7). Let u = 11 - c. Suppose -r + 36 = -u*w, 2*r = w + 8 + 28. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134\/2 + (-1)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702\/(-3432) - (-12)\/(-22)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.864 and -81.\nAnswer: 150.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/20155?\nAnswer: -6\/20155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + p + 3. Let z(w) = w + 3. Let r(m) = -4*i(m) + 3*z(m). Suppose -3*s - 5 = -2*l + 5, 5*l = 5*s + 15. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814959 = -11959*c + 58048 for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 3:04 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**6\/3 - i**4\/2 - 88*i**3\/3 + 1788*i**2 + 1432. What is the second derivative of m(c) wrt c?\nAnswer: -40*c**3 - 12*c - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 6:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 + 26*o**2 + 676*o + 369. Factor a(y).\nAnswer: (y + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 13*r - 20. Let g be z(-10). Suppose 2*v - 3*h = -5, v + 4*h + g = 13. Which is the fourth smallest value? (a) 3\/2 (b) -0.1 (c) 0.1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*d + 151*d - 117 - 66*d - d - 5*d + 4*d + 0*d + 2*d + 0*d + (5*d + 0*d - 4*d)*(0 - 5 + 4) to m*d + o and give o.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 225401133 - 14?\nAnswer: 225401116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 2*u. Let s = 146 - 93. Suppose -28*g = -z - 30*g - 47, -g = 3*z + 151. Let x = s + z. Determine d(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -15\/14, 0.105, -2, -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*i + 10, -2*i = i. Suppose 0 = 3*w + p*r - 2, -2*r + 8 = -2*w - r. Sort w, -0.9, -1\/8 in increasing order.\nAnswer: w, -0.9, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 143 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 57 = 52 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.6255 or 0?\nAnswer: -3.6255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20250783149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - -3 - (27 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5 = 25. Let y(j) = -j**2 + 4*j + 2. Let m be y(v). Suppose -4\/5*i**m + 1\/5*i**5 + 0 - 4\/5*i**4 + 6\/5*i**3 + 1\/5*i = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -81164 - 1?\nAnswer: -81165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -981.56 + 1203.6. Let o = 218 - z. Let p = o - -0.04. What is the third biggest value in 2\/9, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 10:49 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) 65 (c) 16 (d) 0.4 (e) 23 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237 + 302. Suppose 8*p - h = -5*p. Let n(g) = -2*g**2 + 6*g + 7. Calculate n(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -6*n**2 - 45*n - 82. Determine o(-6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 6*i + 6*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3 - 8 + 4*c + 4 + 2*c - 14.\nAnswer: 6*c - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -11.9. Let t = v + -12.1. Let o = 0.3 + t. Which is the closest to 2\/5? (a) -3\/4 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-674*c + 1312*c - 678*c + (-1 + c + 1)*(3 - 4 + 2))*((-c + 2*c - 2*c)*(-6 + 2 + 2) - 4 + 2*c + 4) as j + l*c + h*c**2 and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 1387*i**6\/2 - i**2\/2 + 800*i - 7826. Find the second derivative of o(g) wrt g.\nAnswer: 83220*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.29 in 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40972 is divided by 401?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-5*sqrt(300) - sqrt(36)\/(1*sqrt(3)))\/(sqrt(72)\/(sqrt(12)*-3 - sqrt(12))*-6))**2.\nAnswer: 5372\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-2)\/(-8))\/(424 - 421). What is the third smallest value in -0.5, 4, -1.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/7 - 24879*n**2\/7 - 50352585*n\/7 + 5121025275\/7 = 0. What is n?\nAnswer: -4195, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/198*(2 - (-26)\/(-10)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 636296.3 millimeters?\nAnswer: 636.2963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 113, 73, -51, -259, -551?\n\"Answer: -42*t**2 + 86*t + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-690)\/(-75) - 12\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**3 - 1996*m**2 - 66944*m - 543744 = 0. What is m?\nAnswer: -16, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*q + 27 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 2*x + 2*v + 1 = 0, 0 = 2*x + v + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3 - 5*o**2 - 3*o**3 + o + 5*o**3. Let k be x(5). Suppose 0 = k*y - 5*h + 11, 0*y + h = 2*y + 7. What is the nearest to -1 in -1, y, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136493839 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 7. Suppose -n = -2*n - c. Sort n, 4, 1 in increasing order.\nAnswer: n, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4568469184.\nAnswer: 2, 47, 1518773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*q**3 + 6*q**2 + 3*q**2 - 36*q**3 - 6*q**2 - q**2.\nAnswer: -64*q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 5. Let k be v(9). Suppose -2*q = 10, h + 2*q + 7 = -3. Let d(r) = 2*r**3 + r**2 + r - 1. Let i be d(h). Put 1, i, k in descending order.\nAnswer: k, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 4, -25 in increasing order.\nAnswer: -25, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -55, -60, -69, -82, -99?\n\"Answer: -2*h**2 + h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082657361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 + 2*s - 120. Let w(j) = 3566*j. Determine w(b(x)).\nAnswer: 14264*x**2 + 7132*x - 427920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 41658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a millimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/627*(27\/(-4))\/(-3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8063 (base 13) to base 4.\nAnswer: 1101000310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*d + 3*d. Suppose -20*s + 16*s = -5*w - 28, 0 = -2*s - 2*w + 14. Let -40*u**2 + d*u**3 + 12*u**2 + 20 - 9*u - s*u = 0. What is u?\nAnswer: -5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.04, 0.0181, -6\/11, 0.3, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -30. Let v = m - 6. Suppose -2*q - 4*c = -157988, -c - v + 1 = 0. Round q to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let l = d - -1. Suppose 0 = 4*a - 4*r - 12, 0 = 5*a - 2*r - 13 + l. Solve 18 = -5*k - a for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-20 - -6) - -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 2*w + 3*w)*(3*w**2 - 3*w**2 - w**2) - 1367*w**3 - 411*w**3 + 427*w**3 - 3*w**3 + 3*w**3 - 6*w**3 as y*w**3 + v*w + m*w**2 + x and give y.\nAnswer: -1356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 287634 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6890)\/424 + 22 + (-1044)\/48.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112 + 219. Let f = -105 + u. Let x = -3 + 2.8. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 8*l**2 + 425*l + 48. Let j be n(-53). Which is the fourth biggest value? (a) 0.5 (b) 0.008 (c) j (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**4\/24 + a**3\/6 - 29*a**2 - a. Let k(u) = 28*u + 7. What is -k(c) + 7*n(c)?\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12165 = -1188*x - 643*x + 2483 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from emyffmyyymcs.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 7432.\nAnswer: 7435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41050 and 5?\nAnswer: -205250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -146*f - 67. List the prime factors of m(-7).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 721*k**2 + 472*k**2 - 1160*k**2.\nAnswer: 33*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -3, 7, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 783 and 972.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5184718 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 130.4. Which is the second smallest value? (a) y (b) -10 (c) -0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80 - w + 37 + 43.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1)*2 - (5*(-2 + sqrt(11)))**2.\nAnswer: -377 + 102*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6097 divided by -4\nAnswer: -6097\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.8. Let u = 89\/3 - 30. Which is the nearest to -0.1? (a) -5 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -k - 12. Find the third derivative of r - k*r**3 + 156*r**2 - 157*r**2 - 27*r wrt r.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 1:48 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(280)*-2)\/(sqrt(10) - 2*sqrt(1210)) + -4 + -4)**2.\nAnswer: 128*sqrt(7)\/21 + 4096\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -11*u + 1 + 3 + 4*u. Let o be j(-5). Suppose -o = -3*p - 3*n, 2*p - 3*n = n + 14. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -27*h**2 - 56*h - 7. Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 + 113*b + 1080. What is w(-40)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:12 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134322123 - -5?\nAnswer: -134322114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000705 to seven dps.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 675831 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: Is 143703923 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + j = -107, 9*j - 5 = 4*j. What is the highest common divisor of n and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83.1691 and -214909.873.\nAnswer: -214826.7039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-5)\/30)\/((-9)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 10*d**2 + 27*d - 31. Let v be g(12). Let r(b) = -3*b - 2. Let u be r(-2). Let x(c) = c + v - 1 + u - 6. Calculate x(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.528 and 1.03.\nAnswer: 1.57384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 8*a**2 + a + 10. Let c be i(-8). Let p(x) = 15*x**c + x**3 - 2*x + 9*x - 11 + 10*x. Is p(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-756)*0)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = -j + 2*j, 4*v = -8. Suppose -j*g = -0*g. Let b = 0 + g. Which is greater: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1222032?\nAnswer: 2, 3, 7, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 15. Let x = u - -0.1. Which is the closest to 0? (a) -1\/9 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-2 + 2 + -5 + 0). What is the highest common factor of b and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17)\/((-85)\/(-40)) + 24508.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 74, 0.2, -7958, 13 in decreasing order.\nAnswer: 74, 13, 0.2, -2, -7958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - h + 14 = 0, 42*n - 40*n - 4*h + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6715 and 5156525.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3*u = -43, 0 = 4*f - u + 2*u - 40. Let q(v) = -1 - 4*v - 7*v + f*v + 6*v**2 + v**3 - 7*v. Calculate q(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*r + 26. Suppose 9*j + r = 1. Suppose 3*h + 45599988 = -3*d, h - 2*d + 15200008 = -j*d. Round h to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2342 - 113592\nAnswer: -115934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5 - 14*h**4 - h**3 + 60*h**2 - 36*h = 0. Calculate h.\nAnswer: -2, 0, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2087, 8374, 18853, 33524, 52387, 75442?\n\"Answer: 2096*o**2 - o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542052*m**2 - 164*m**3 + 542052*m**2.\nAnswer: -164*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:12 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2\/2 + 170955*j\/2.\nAnswer: 5*j*(j + 34191)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664836309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 m, and 1 y when three letters picked without replacement from {m: 1, y: 3, x: 2, g: 7, w: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by -1\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + d + 3063 = 0, -4*d - 780 = -2*x - 2298. What is the common denominator of x\/(-27)*3\/(-4) and -77\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -73*k - 2. Let v(a) be the first derivative of -a**2\/2 + 261. Give v(f(p)).\nAnswer: 73*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -65. Suppose l*r + 0*r = -d - 21, -21 = 5*r - 3*d. Let b be (4\/r)\/(-5 - (-3535)\/705). Is b bigger than -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -37398*p**2 + p - 3. Let i be a(1). Round i to the nearest 1000.\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13 + 0 + (6 - 2). Let s = 82 - q. What is the greatest common factor of 13 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 + 308*d - 107. What are the prime factors of f(-127)?\nAnswer: 13, 19, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114 - -96. Which is the third smallest value? (a) g (b) 4\/7 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 20, -93, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*q - 36. Suppose 0 = -w - w + 2*k - 32, 0 = -4*w - k - 74. Let z = w - -18. Solve -v - 2*v + q = z for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n - 3. Let a(k) = k - 1. Suppose -3*j = u - 3, -j + 26*u - 25*u = -1. What is j*y(v) - 2*a(v)?\nAnswer: -13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-5))\/(6\/(-15)). Let o(a) = -11 - 2*a + 2*a + a**x - a + 12. Let d(v) = v**3 - 4*v**2 + v - 2. Let j be 0 - (-1 + (0 - 1)). Determine j*o(q) + d(q).\nAnswer: q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.277.\nAnswer: -0.831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 g, and 1 i when three letters picked without replacement from gjicxio.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -30, -0.6, 2 in descending order.\nAnswer: 2, 0.1, -0.6, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321203 (base 4) to base 12.\nAnswer: -216b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.2. Let j = 0.6 - l. Let i = 10.9 - 11. Does i = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3598998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(-2*sqrt(704)*2 + sqrt(704) + sqrt(704))**2 - (sqrt(539)*2 + -2 + (sqrt(539) - (0 + sqrt(539)*2)))).\nAnswer: -8454 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 + k + 41. Calculate u(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 93, 132, 171, 210?\nAnswer: 249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.023902 to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, a: 7}. What is prob of sequence aw?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594 and 3454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -4. Let w(u) = -8*u**3 - 13*u**2 + 41*u + 4. Let f(k) = -2*k**3 - 3*k**2 + 9*k + 1. Let d(j) = 9*f(j) - 2*w(j). Calculate d(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 443*j**3 - 371 wrt j?\nAnswer: 1329*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 229548*t**3 + 297*t + 2673. Let n(f) = -1551*f**3 - 2*f - 18. Calculate 594*n(o) + 4*p(o).\nAnswer: -3102*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/116, -5, -0.5, -37, 0.24 in increasing order.\nAnswer: -37, -5, -0.5, -15\/116, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -12 - -10) + 8\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1517 and -61\/222?\nAnswer: 9102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltll when four letters picked without replacement from {l: 2, z: 1, t: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17))**32\/((t*t\/(t**(-1\/6)*t)*t)\/(t\/t**(1\/22))) assuming t is positive.\nAnswer: t**(-2792\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1445336 less than -0.4?\nAnswer: -0.5445336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 165\/(-99) + (60\/9)\/4. Let z(u) be the second derivative of -3*u**2 + 1\/4*u**5 + 0 + c*u**3 + 6*u + 0*u**4. Differentiate z(h) wrt h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -5) + (28 + -22 - -9) + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-320)\/(-25))\/(-8))\/((-2)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686346842.\nAnswer: 2, 19, 18061759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/18 + 25*p**3\/36 + p**2\/2 - 639*p. Determine t so that m(t) = 0.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1358 divided by -6.\nAnswer: 679\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y - 3*y + 3*y. Let o(g) = 2 + 901*g - 899*g - 2. Determine m(o(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/2772*434*(-20)\/(-2)*(-6)\/10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152.9 minus -412690?\nAnswer: 412537.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.284 + 1.204. What is the nearest to 2 in b, 2, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -58 + 8 - -71.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 12*l**2 + 13*l + 23. Calculate s(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 9:40 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110220001 + 112?\nAnswer: 110220120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*q + 440 - 835 = 703 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-16 - -4) + 3. Let c be 3\/(-5) - 18\/t. Solve -4*o - 3*w - 8 = 0, 3*o - c*w = -w - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-2)\/6)*(24 + 0)\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**5\/10 + 2*m**4\/3 + 5*m**3\/3 + 2*m**2 - 67*m - 31. Let i(l) be the first derivative of f(l). Factor i(g).\nAnswer: 2*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57948?\nAnswer: 2, 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - (5*sqrt(152)*-2 - sqrt(152)) - sqrt(152)) + sqrt(152))\/(sqrt(8) + sqrt(1152)*-4).\nAnswer: -12*sqrt(19)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/565 and 26\/5.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/5)\/b*b\/(b\/b**4*b*b)*b*b\/b**(2\/3)*b*b**(-1))\/((b*b**(-1\/4)*b)**(-15)*(((b*b*b**(3\/2))\/b)\/b)\/(b\/(b*b**5))) assuming b is positive.\nAnswer: b**(1277\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 268542 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 8*d**2 + 3*d - 4*d)*(-6*d**2 + 12 - 12) - d**4 + 0*d**4 - 3*d**4.\nAnswer: 44*d**4 + 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)\/(sqrt(8) - (4*sqrt(8) - sqrt(8)))*6)\/(sqrt(1280)\/sqrt(5)*1))**2.\nAnswer: 27\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((245\/56)\/7)\/((10\/(-12))\/1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s**3 - s**2 + 74*s + 3. Let r(f) = -13*f**3 + f**2 - 76*f - 4. Let x(t) = 3*r(t) + 4*y(t). Find the second derivative of x(a) wrt a.\nAnswer: 102*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -12)*(-24)\/(-7)*240\/360.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -264*g + 143*g + 116*g - 251*g**3 + 2*g**2 - 2*g**2 - 2*g**3 + (2*g - 4 + 4)*(2*g**2 - g**2 + g**2) + 2*g**3 - 1 + 1.\nAnswer: -247*g**3 - 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2718205 by -7.\nAnswer: 388315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, b: 7, d: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240.4 - -240.1. Which is the nearest to 18? (a) -2 (b) -21 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of 0 + 1\/3*h**4 + h**2 + 1\/20*h**5 + 0*h - 7\/6*h**3. Let f be y(5). Calculate the greatest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.0425 + 117. What is g rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 160316359*k**4 - 320664232 wrt k.\nAnswer: 641265436*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 28*f + 17. Give o(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 12:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + y. Suppose 3*j + 2 = 2. Let t = y + j. Is -1\/5 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 245454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/11 - -13\/22. Let n(p) be the first derivative of f*p**2 + 2*p - 2. Find the first derivative of n(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 10:34 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 8 + (13 - 40)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 129552.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**4\/12 - o**2. Let i(n) = -6*n. Suppose 4*t - r = 35, 3*t = 8*t - 5*r - 25. Give t*u(z) + 3*i(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-445)\/356 + 62*2\/48?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4890 is divided by 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p + 1. Let k(s) = 8*s**2 + 5*s + 6. Let v(n) = 0 - 2*n + 35 + 9*n + 22 - 16. Let y be v(-5). What is y*g(t) - k(t)?\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r**3 + 5. Suppose 2*f + 1 = 9. Suppose 2*k = f, -k - 2 = -x + 1. Let d(v) = -4*v**3 - 4. Determine x*g(c) + 6*d(c).\nAnswer: c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b)**(-13)*(b\/((b**(1\/12)*b)\/b))\/b**8)\/(((((b\/b**(-2\/9))\/b)\/b)\/(b\/(b*b**(-1\/4))*b))\/((b*b**1)\/(b\/(b**(-8)\/b)))) assuming b is positive.\nAnswer: b**(-79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or -0.126?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14355451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/10, -6, -15, 94 in descending order.\nAnswer: 94, -3\/10, -5, -6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 579, 3, -29, 5, -5, -88 in decreasing order.\nAnswer: 579, 5, 4, 3, -5, -29, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12087 and 2225793?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 1063*f**3 + 11*f**2 + 11*f - 504. Let r(n) = 533*n**3 + 6*n**2 + 6*n - 253. Let i(c) = 11*r(c) - 6*t(c). Differentiate i(s) wrt s.\nAnswer: -1545*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:05 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - 3*n**2 + 3*n + 4. What is z(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2804517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.06 + -5. Let t = -1.06 + s. Which is the second smallest value? (a) -3\/2 (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(11) + 3 - sqrt(1100)\/sqrt(4))**2 - ((3 + sqrt(1100))**2 + -2 + 4).\nAnswer: -1091 - 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(832) + 2*sqrt(832))**2 - sqrt(52)).\nAnswer: -2*sqrt(13) + 7483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5477*w - 416265. Determine p(76).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**2 + 5*o + 45. Let y(r) = r**2 + r + 9. Let v(z) = -t(z) + 5*y(z). Let i(w) = 3893*w**2. Give v(i(s)).\nAnswer: -15155449*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4569*o + 2747*o - 3179*o)*(o + 13 + 2*o - 11).\nAnswer: -15003*o**2 - 10002*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 58.\nAnswer: 5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/6)\/7 - 4\/(-6). Let f = 13\/12 + c. Put f, 2, -4 in increasing order.\nAnswer: -4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4494 - -4494. Which is the nearest to -0.04? (a) g (b) 2 (c) -1\/7 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4522109008 to the power of 1\/2, to the nearest integer?\nAnswer: 67247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887007339 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100000111110000110 (base 2) to base 9.\nAnswer: 2643186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 + y**3 + 0*y**3)*(8 - 3 + 2 + (4 - 4 - 2)*(6 - 2 - 3)) + 3*y**3 - 104 + 104.\nAnswer: 28*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -5*1*(-2 - (-24088)\/(-40)).\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*w + 35 = 7*u, 3*w = -u + 18. Suppose 0 = u*v + 2*z - 0*z - 94, -5*v = 5*z - 160. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1250*d**3 + 16882200*d**2 + 4051782*d + 243108.\nAnswer: -2*(d - 13506)*(25*d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14443691*d**2*s**3 - 2*d*s**3 + 2*d*s**2 - 14*d - 2*s**3 - 19590*s**2 + 2 wrt d.\nAnswer: 28887382*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0*w - 9*w + 23*w + 9*w + 41*w. Let q(c) = -4*c**2. What is p(q(l))?\nAnswer: -256*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 10\/9*y**3 + 1\/6*y**4 + 28 + 0*y**2 + 0*y. Find u, given that r(u) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/(-8) - 495\/660. Let y(w) = -w**3 - 8*w**2 - 8*w - 2. Let o be y(-7). Sort o, -2, l, 2.\nAnswer: -2, l, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/9 - 20\/90. Solve f + u*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2882 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -328 - -553. Let d be (q\/(-10))\/((-1)\/2). Suppose 5*k + d = 5*a, 3*a - 22 = -k + 3*k. Solve -r - 3*i + 5 = -2*r, 0 = a*r + i - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 103705 + 3500*g**5 + 5450*g**4 - 85*g**2 - 40*g + 609*g**2 + 2930*g**3 - 103721 = 0. What is g?\nAnswer: -1\/2, -2\/5, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/3 - 220*q - 1328\/3.\nAnswer: 2*(q - 332)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**2 + 9278*r + 27924 = 0.\nAnswer: -3, 4654\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28727*f**3*u**5 - 820*f**3*u - u - 10 wrt u.\nAnswer: -574540*f**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, t: 2, e: 4, g: 5}. Give prob of sequence ttg.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*z = 50*z + 78. Let c be 3*23\/(-3)*-1. Suppose 0 = -c*d + z*d - 6. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55651, 55674, 55713, 55768?\n\"Answer: 8*b**2 - b + 55644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 15) in base 14?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j**3 + 488*j**3 + j + 4 - j.\nAnswer: 528*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bebeeeeeee. What is prob of sequence ebb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1130, 2252, 3374, 4496?\nAnswer: 5618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600085 a multiple of 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 7*z + 15. Determine t(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 4*q - 7. Let y be a(-6). Let s be (-14*(-6)\/(-16))\/((-150)\/43600). Suppose y*g = 3*m + s, g = 2*m + 234 + 67. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*p = -4*n - 24, -9 = -5*n - 2*p. Suppose -3*f = 2*v - 121, 74 = v + 5*f + 31. Suppose 3*q + n*s = 102, 4*q - s = 58 + v. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55040 is divided by 1376.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4808998947 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(-1\/16)\/w)\/w)**(8\/3) assuming w is positive.\nAnswer: w**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (16\/(-20))\/((-155)\/(-25) + -5). What is the closest to u in 0.4, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-1 + 1 + -3. Let l = -686 + 1168. Let g = l + -483. What is the closest to 2 in q, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let x = 1.5 + h. Let f = -0.037 + -0.163. What is the smallest value in x, f, 3\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15*u**2 - 3*u - 9. Let a be g(-4). Let t = a + 1034. What is t rounded to the nearest ten?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 517100971 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 3\/((-15)\/40). Let u(g) = -3*g + g + b*g. Let f(d) = -3*d. Calculate u(f(p)).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0486698*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, u: 1, w: 1, m: 4}. What is prob of picking 3 y?\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1360 + 1?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 12*m**2 - 21*m - 13. Let n be c(-10). Put n, 1\/9, -8 in descending order.\nAnswer: 1\/9, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21677 is divided by 21529.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.081250732 + -2.\nAnswer: -2.081250732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 5*h + 4. Let k be i(6). Suppose 2*b - 3*b - 6 = 0. Let n = k + b. Solve 3*j + 4*o - n = 6*o, 3*o = 5*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vb when two letters picked without replacement from mkkbvktkkt?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 + 5168*b**2 - 171703*b - 364070.\nAnswer: (b - 35)*(b + 2)*(b + 5201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**3 - j + 2. Let z(a) = 36*a**3 - 34*a + 5. Let b(o) = -16*o**3 + 16*o - 3. Let p(y) = -13*b(y) - 6*z(y). Give -26*i(v) + 6*p(v).\nAnswer: 4*v**3 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -30\/13, 49, 8, -0.3 in increasing order.\nAnswer: -30\/13, -0.3, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8363 divided by 10\nAnswer: 8363\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.5. Sort 0.5, 5, 28, h in decreasing order.\nAnswer: 28, 5, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 710262693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 72?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {a: 11, k: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36651?\nAnswer: 3, 19, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6 + 12 = 0. Let -r**2 + r - 6 + b*r + 2*r**2 - 3*r = 0. What is r?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152452199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114 and 1159?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9 - 4 - 1 - 9 - 42*c. Is v(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 125*u - 123*u. Let y = u + 19. Solve -k = -4 + 2, y = -2*j + 2*k - 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 5*k = -4, 4*l - 3*l + 3*k - 16 = 0. Is l > 32\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*p**2 + 0*p - 1\/4*p**4 - 14*p**3.\nAnswer: -p**3*(p + 56)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -523*m + 13 - 689*m - 493*m + 1107*m.\nAnswer: -598*m + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 43*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -950 (base 14) to base 8\nAnswer: -3452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.5998 and 5?\nAnswer: -27.999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 10*j**2 + 10. Let m be t(-10). What is the units digit of m\/35 - (-117)\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5965 is divided by 351.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 6:12 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 55851586 divided by -7\nAnswer: -7978798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -548, -472, -344, -164, 68?\n\"Answer: 26*i**2 - 2*i - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - 148\/12*3. Let x = -30 - p. Suppose x*s + 172 = 4*y, y - 5*s = -3*y + 172. What are the prime factors of y?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -254696 divided by 2\nAnswer: -127348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t*t**(-8)\/t*t))\/t**(1\/13))**(2\/95))**(-1\/11))**(1\/44) assuming t is positive.\nAnswer: t**(-58\/149435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 65 = -5*b, -2*b + 3*a - 37 = 0. Let p(i) = -37 - 7*i + 75 - 37. Let o(j) = -13*j + 2. Let u(l) = b*p(l) + 6*o(l). Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/23 + 8\/(-414)*1809\/(-402).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -578\/33 + 255\/11. Let q = 6 - h. Which is the nearest to 0? (a) q (b) 4\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**1)**(1\/3))**(2\/51)*(m\/(m\/(m*(m**(2\/3)*m)\/m)*m))**(-39)\/(m**(1\/5)*(m**1\/m)\/m) assuming m is positive.\nAnswer: m**(-6416\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32703 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in -21, 0.2, 0, 10, 0.14, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 133607246107 and -1456?\nAnswer: 133607247563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 357 or -1.2?\nAnswer: 357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of v**5\/4 + 25*v**4\/12 - 40*v**3 - 630*v**2 + 136*v + 218. Let t(l) be the first derivative of n(l). Find i such that t(i) = 0.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 8. Let v(r) = -2*r**2 - 9. Suppose 2*p + 7 = 21. Suppose 0 = 3*x - 2*x - p. Calculate x*i(j) + 6*v(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 1\/6 (b) -3 (c) -1 (d) 0.099 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2120 + 212222112210?\nAnswer: 212222122100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -0.2. Let f be (-7)\/(-63) + 5\/(675\/(-17178)). Let o = f + 127. Do m and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c1641 + 6?\nAnswer: 1c1647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 8*d + 5. Let t be (18\/10)\/((-5)\/25). Calculate u(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**4\/6 + 2*j**3\/3 + 3*j**2 - 27*j + 12. Let m(o) be the first derivative of s(o). Find l such that m(l) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, m: 3, z: 11, l: 3}. Give prob of picking 2 z, 1 m, and 1 l.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83727612 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(170))\/sqrt(10) + -2*sqrt(153) + sqrt(68)\/(-2*sqrt(4)) + (3*(0 + sqrt(17)))**2.\nAnswer: -17*sqrt(17)\/2 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 + 4*q + 1. Let m = -6 + 9. Let o be k(m). Solve 8*v = 4*v + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-25)*(i\/i**(4\/5))\/i**1 assuming i is positive.\nAnswer: i**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17092194?\nAnswer: 2, 3, 7, 29, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-15)*w*w**12)**(8\/3)\/((w**(2\/9)*w**7)\/(w\/(w\/(w*(w\/(w**(-2)*w)*w*w)\/w*w)*w)*w)**(-20)) assuming w is positive.\nAnswer: w**(-1013\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*l + 2 - 2*l - 6*l + 0*l + (0 - 1 + 0)*(-l - 2*l + l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u - 13. Let q(r) = 3*r + 6. What is 3*i(d) + 7*q(d)?\nAnswer: 6*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-28)\/(-1*(-1 - -2)) is divided by 1 - -14 - 0\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 10*g + 1. Let n(l) = 2*l. Give x(n(j)).\nAnswer: 20*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {t: 1, i: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 - 20606*l\/5 - 42073164\/5.\nAnswer: -2*(l + 2806)*(l + 7497)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1409 divide 2318949108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000000001101101010 (base 2) in base 6?\nAnswer: -122330414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 55, 106, 157, 208, 259, 310?\n\"Answer: 51*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlvlkhlykkuk. What is prob of picking 2 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 90900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1500 and 1500?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5538.595 minutes to seconds.\nAnswer: 332315.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - 18*p**2 - 19*p + 1. What are the prime factors of g(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30082515 > -30082498?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -36 (b) -150.05 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -289, -704, -1345, -2248, -3449, -4984?\nAnswer: -6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*p - 659 + 165 = 298 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -1101100101000011100001101?\nAnswer: -1101100101000011100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9582.794mg in nanograms?\nAnswer: 9582794000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 2*r + 1 + 3*r**2 - 2*r**2 + 16*r**2 in the form u + d*r + j*r**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.2, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 9) to base 2.\nAnswer: 10000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8428)\/(-696) - (4 + 9) and -17\/16.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30292905 to the nearest integer?\nAnswer: 5504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 + 2*g + 3 - g. Let t be a(1). Solve -t*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/468 + 4\/(14196\/591). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 1348221*y + 1348224.\nAnswer: -3*(y - 1)*(y + 449408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00219569 rounded to 5 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 2\/2465 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/9225 and -79\/27060.\nAnswer: 405900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (30 - ((-14 - -29 - 3) + 2)) + -3 + 14\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144 + 819*(-65)\/585.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -0.5 (b) 3\/8 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 14\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 - 3*r**5 + 5*r**5 - 2*r**3 + 0*r**4 + 0*r**4 + r**5 + (-5*r**2 + r**2 + 3*r**2)*(-4*r + 4*r - r**3) + 2*r**5 - 2*r**5 + 2*r**5.\nAnswer: 2*r**5 - 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-260)\/5)\/(1\/4). Let p be l + 1 - (-32)\/8. Let t be (-4)\/(-6) + p\/399. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1768668 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0 - 14\/11*w + 2\/11*w**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 130 + 29?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a4 + -12?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16433 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (25 - 1577\/57)*(-6)\/4. Solve s - 4 = 0, -3*u = -0*s - a*s + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1506560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4. Let w(f) = f - 7. Let r(l) = 5*k(l) + 3*w(l). Determine r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) 1\/5 (b) -2 (c) -2\/9 (d) 12\/23 (e) 3 (f) 3\/322\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 1100 = -13*j + 8*j, -4*u + 878 = 5*j. What is the least common multiple of 111 and u?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100 and 21025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 + 2. Let x = -2.25 + q. Let z = -0.05 + x. Which is the second smallest value? (a) -4 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/9)\/((-6292)\/891 + 7) + (-16)\/20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751*g + 1069*g - 25487 + 34174 = -71393 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 776834143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.954 - 0.046. Which is smaller: -151 or t?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427 (base 13) in base 5?\nAnswer: 43111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*z**3 + 252*n**3*z**2 - 55*n*z**3 wrt z?\nAnswer: -6*n**3 - 330*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -84 - -36?\nAnswer: -4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-90))\/(12\/(-10)). What is the third biggest value in 5, 2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7509.023t to micrograms.\nAnswer: 7509023000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y - 2*t + 99, 2*y - 47 = 5*t. Suppose -98 = -s + 3*o, -3*o = 2*s + y - 200. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209 + 305. Let f be 42\/(-8) - 72\/i. Let u(p) = 2 - 2 + 6*p + p**2. Calculate u(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/105 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124, 115, 106?\n\"Answer: -9*v + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/4) + (-9 - -12). Suppose 0 = -5*w + 2*w - 2160. Calculate the lowest common multiple of w\/(-126)*t\/2 and 34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 19. Which is the third smallest value? (a) -0.1 (b) s (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 774756 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0880426 to 4 dps.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1106, -1109, -1112, -1115, -1118?\n\"Answer: -3*h - 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0 + 0*x**3 + 0*x - 1\/24*x**4 + 2*x**2. Let y(g) = g + 2. Let h = 15 + -16. Calculate h*y(w) - 3*u(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 36. Let b be x(0). Suppose b*a - 20 = 32*a. Put -3, a, -5, 10 in decreasing order.\nAnswer: 10, a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 3*h**2 - 4*h. Let f be z(-4). Solve -2*p + c = -0*p - 5, f = 2*p - 4*c - 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -1579?\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r + 5. Let u(d) = 6 + 4*d - 2 + 2*d. Let p be (-11)\/3 + 4\/(-12). Give p*m(h) + 5*u(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/36857009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 11. Calculate the common denominator of (-933)\/120 - j\/5 and 31\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169601 or 169604?\nAnswer: 169604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - -7 - (-1350)\/10 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/20011?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k**2. Let y(j) = 4*j + 6. Let x(d) = 9*d + 27 + 25 - 37. Let o(h) = -2*x(h) + 5*y(h). What is w(o(t))?\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31125 + 31905 - 94158 + 31869 = 39*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 54, 77, 106?\n\"Answer: 3*w**2 + 8*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z + 1\/2*z**2 - 8. Give r(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*z + 155, -4*z + 164 = 2*a - 6*a. Let j be -6 + z\/7 + (-12)\/7. Let k be ((-8)\/(-6))\/(j\/(-6)). Solve 0 = -k*x + 22 - 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.053 + -1.853. Which is the fourth biggest value? (a) -0.06 (b) z (c) -0.09 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(72\/10)\/(-12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**3 + 5*c**2 - 4*c - 4. Let f = 42 - 15. Suppose -f - 3 = -6*m. Let h(y) = y**3 + 3*y**3 - 6 + 7*y**2 - 6*y + 0*y**3. Give m*h(s) - 7*a(s).\nAnswer: -s**3 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 10*b + 8*b + 11, -2*b = -6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3138076.\nAnswer: 2, 163, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 728 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 2:27 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/368)\/((-36)\/504)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -11*h + 17. Let y be s(-9). Let f = -83 + y. Let j be (5\/(-3))\/((-11)\/f). Which is greater: 4 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*o + 42 = 0, -3*o + o = -c - 12. Let x be 12\/(-18) - (-2)\/c. Is -3\/5 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31114424342 + 3?\nAnswer: 31114424400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**8\/3360 - 2*b**7\/315 + 7*b**6\/360 - 2*b**4\/3 - b**3\/2 - 109*b**2. Let m(d) be the second derivative of h(d). Factor m(t).\nAnswer: 2*t*(t - 7)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54 + -38. Suppose 4*p - g - g - j = 0, 40 = 4*p + 4*g. Suppose 4*w - 75 = w. Solve p*d = d + w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0481*3362.5\nAnswer: 161.73625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2965 - 181 - 1291 = -41*h + 128*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1489085 rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -1260*o**2 - 481*o - 479. Give p(-1).\nAnswer: -1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -36. Let b(r) = 3*r**2 - 17*r - 29. Let q(y) = 2*y**2 - 11*y - 19. Let k(m) = -5*b(m) + 8*q(m). What is the remainder when c is divided by k(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*j**3 + 6 + j + 29*j**3 - j**4 + 34*j**3 in the form a*j + i*j**2 + h*j**4 + c*j**3 + p and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -50. Suppose 5*j - 3*j - 25 = 5*d, -5*j + a*d + 15 = 0. Suppose 4*p = -5*w + 24, -p + j*w = 3*w - 6. Is 9 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -50) + -34 + -44 + 70\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 548205 and 900963.\nAnswer: 4767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2. Let z(w) be the first derivative of -13*w**4\/12 - w**2\/2 - 53*w + 16. Let j(k) be the first derivative of z(k). What is s(j(m))?\nAnswer: 507*m**4 + 78*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*d**3 + 11939*d**2 - 308731.\nAnswer: 36*d**2 + 23878*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1232 (base 4) to base 8\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26772421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 262698.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-6 - (-7 - (-4 + 4)) - -43) - -1\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**2 - 4*x - 37. Let z(i) = i**2 + i. What is n(d) - 6*z(d)?\nAnswer: d**2 - 10*d - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25332230 to the nearest integer?\nAnswer: 5033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**3\/3 + a**2\/2 - 3*a. Suppose 2*r = 5*q, 4*q + 14 - 21 = 3*r. Calculate c(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 873.6332 decades?\nAnswer: 8.736332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 4*x - 4. Let i be y(3). Let n = 8399 - 58697\/7. Let j = -14 + n. Which is bigger: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 585 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from qqqqqeqqqqqqqqqeqq.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -11*u - 1. Let z = 2 - 3. Let f be n(z). Suppose k - f = 8. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 20, 3*n = -d + 2*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36117747 by 953.\nAnswer: 37899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-4)\/340*29. Let p = j - -18\/17. Put p, 3, -2 in ascending order.\nAnswer: -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750 and 2301\/59 - (28 + -5)?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -e910ffb?\nAnswer: e910ffc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + (sqrt(187) - (sqrt(187) + 4*sqrt(187) + sqrt(187))))*4 + sqrt(187))\/(sqrt(88)\/sqrt(8)*6).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -9*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 - (-1 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4725 is divided by 381?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*b**3*d*t + b**3*d + 321*b**3*t - 14*b**3 - 5*b**2 - 5955*b*d*t + 8*d*t - t wrt b.\nAnswer: -48*d*t + 6*d + 1926*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -1\/6*r**3 + 1\/12*r**4 + 0*r + 0 + r**2. Suppose -4*f + 7 = g, 5*f - 10 = -5*g + 10. Give t(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**2 - 5*n**2 + 18*n**2 + (3*n - 2 + 2)*(-n - 1 + 1).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4884 and 660228?\nAnswer: 7262508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1 + sqrt(112) + sqrt(7))**2 + sqrt(7) + (sqrt(28) + -2 - sqrt(28))).\nAnswer: -348 - 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a8 (base 12) to base 4.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 10, 5, -243, -62 in descending order.\nAnswer: 10, 5, 2, 1, -62, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(128))\/(((-1*sqrt(384))\/sqrt(12))\/(sqrt(64)\/sqrt(2))))**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2.7. Let h = b + -0.30000078. Round h to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 5*q**2 + 5*q - 6. Let k be f(-6). Let g(j) = 13 + 1416*j - j**2 - 1415*j + 7. Calculate g(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1101 and 11349108?\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 703.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2420) - -3*(sqrt(2420)*-1 + sqrt(2420)))\/(-5*(sqrt(4) + (sqrt(36) - 2*sqrt(36)))).\nAnswer: 11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2326271 years to decades.\nAnswer: 0.02326271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -162815.58 - -162820.5799916. Let z = y - 5. Round z to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q + 0*q + 3*q + (-2 + 5 - 1)*(2 + 2*q - 2) + 106 - 12*q - 106.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.4, -6\/91, 0.5, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*n = -4*n + 46, -3*n = -3*l - 42. Let c be l\/(-4)*(-32)\/(-20). Solve 0*b + c = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 465 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 2. Let c = 1 - 0.5. Let r = -63 + 439\/7. What is the closest to r in 2, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -16. Suppose -9 = p - 5*a, 0 = -4*p + 2*a - 4*a - 58. Let f = c - p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*r - 5*j, -4*r + 1 = -j - 18. Find the second derivative of r*n - 5*n + 2*n**2 + 2*n**2 + 2*n**2 wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:06 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2516*f - 2193*f - 1199*f + 1223*f - 930*f.\nAnswer: -5615*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2*g**4 - 35*g**2 + 64*g**2 - 34*g**2 + 2*g as y*g**4 + u*g + i + p*g**3 + b*g**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 7\/(-5))*((-6)\/40 + (-13933146)\/144360)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 7:32 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4566567\/31020 + -144 - 2\/(-55).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 9 = -4*q, 2*q + 6 + 6 = 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -2, 0.164, 1\/2 in increasing order.\nAnswer: -6, -2, 0.164, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*h**2*k**2 - 7*h**2*k - 223870*h**2 + 1 wrt k?\nAnswer: 452*h**2*k - 7*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/7 + 82\/35. Let k = 0.25 + -0.15. Which is the third biggest value? (a) 0.4 (b) p (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 4*p - 4*p)*(-11*p**2 + 5*p**2 + 0*p**2) + (-2*p + 0 + 0)*(p**3 - 2*p + 2*p) to the form k*p**2 + v + m*p + b*p**3 + x*p**4 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 9 = -5*p, -p - 2*k + 5 = 2*p. Suppose p - 7 = -g. Let a be -104*((-69)\/(-6) - g). What is a rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068 = 91*h + 388 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*p*y - 110918*g**2*p + 42*g*y - 478*y wrt y.\nAnswer: g**2*p + 42*g - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -12550744.\nAnswer: -12550748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4779, -9583, -14361, -19101, -23791, -28419?\nAnswer: -32973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:43 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*z**2 - 117*z + 34.\nAnswer: -(z + 17)*(7*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162841.\nAnswer: 31, 37511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -1.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 71531 = v, 207899 + 78212 = 4*v - u. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -16*t**3 - 12*t - 11. Let b(v) = v**3 + v + 1. Let s(p) = -22*b(p) - 2*q(p). What is the second derivative of s(h) wrt h?\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -7*u**6\/80 + 16*u**5\/45 - 67*u**4\/144 + u**3\/18 + 21*u**2 - 41. Factor b(s).\nAnswer: -(s - 1)**2*(63*s - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*x = -16, -2*a + 14 = 2*x + 2*x. Let i(g) = -28 + 9 + 6 + 2*g + 14 + 11*g**2. What is the tens digit of i(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -91 - -116. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f9 + 5?\nAnswer: -f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, z: 17}. Give prob of picking 1 t and 2 z.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3689702 and 38338.\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 942 (base 11) to base 15\nAnswer: 50a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a - 35*a + 45*a to y*a + w and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13498422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002620537496 rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.91 + -0.11. Let s = l + -2.6. Let o = 0.2 - s. Sort 5\/2, -0.1, o in decreasing order.\nAnswer: 5\/2, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 10*a - 8*a + 9 = 0, 2*t = -2*a + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1659\/1106)\/(27\/(-100))?\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 624958135*v - 728363608?\nAnswer: 624958135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-7))\/a**(-13\/5))\/(a**(1\/15)\/(a**(9\/2)*a)) assuming a is positive.\nAnswer: a**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31186956 is divided by 522?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 7\/6, -1595, 0.086 in increasing order.\nAnswer: -1595, 0.086, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -146? (a) 1\/4 (b) 0.4 (c) -1\/5 (d) 4 (e) -141\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4930.9 + 5668. Let g = 737 - h. Which is smaller: -104 or g?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -565, -501, -471, -493, -585, -765, -1051?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62259378911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-17 + 18) - (-3 - (-5 + 6 + -35))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 687013\/6 - 114502. Let t = -6865\/21 + 327. Which is the nearest to t? (a) j (b) 1\/2 (c) 1\/3 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h**(1\/4)\/h)\/h)*h)**31*(h\/(h*h*(h**(2\/9)\/h*h)\/h*h*h))\/h*h\/(h*h*h**(1\/3)) assuming h is positive.\nAnswer: h**(2905\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26088*y - 42*y**2 + 9 - 43*y**2 + 2*y**3 + 83*y**2.\nAnswer: 2*y**3 - 2*y**2 + 26088*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/54*(-36)\/(-16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 12*i - 101*i + 57*i + 351 + 36, 5*o - 2*i + 39 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*c = -61, -5*v + 292 = -c + 3*c. Suppose 0 = 5*m + 57 + 38. Let o = m - -34. Calculate the remainder when v is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*h + 5*h + 7*h + (-4*h + 2*h + 0*h)*(-5 + 3 + 0) + (-3*h + 4*h + 0*h)*(-4 + 4 - 3) to the form j*h + i and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**3 + 5*r**2 - r. Let i be u(2). Let v = 131 + -92. Calculate the greatest common factor of v and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**6\/24 + b**5\/5 + 3*b**4\/16 - b**3\/3 - b**2\/2 + 5. Factor m(g).\nAnswer: g*(g - 1)*(g + 1)*(g + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/a**(-3\/2))\/(a**(-4)\/a*a*a*(a*a\/(a\/(a*(a**(-2\/17)*a)\/a*a)))\/a) assuming a is positive.\nAnswer: a**(555\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615170 and 660698.\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n*o**4 - 2*n*o**2 + 583*n*o - 558*n + 1 with respect to o.\nAnswer: -8*n*o**3 - 4*n*o + 583*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3428690 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 2*n - 10380 = 0. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 - 26*j + 4. What is w(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**3\/7 + 6522*z**2\/7 + 249600*z - 2159820000\/7 = 0.\nAnswer: -1300, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p + 72*p + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 7*p + 7. Let n be i(-8). Let d = 2.05 - 0.05. Which is greater: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.38 or 1.86?\nAnswer: -2.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 1, -231, 96, 2 in decreasing order.\nAnswer: 96, 2, 1, 0, -1, -231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1522*x**3 - 5*x + 5*x.\nAnswer: -1522*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -101010101110 (base 2) to base 12\nAnswer: -16ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2 - 2*p - 2. Let m(v) = v**2 - v - 1. What is -2*b(w) + 4*m(w)?\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*h - 5*t = -118*h - 30, -2*h - 8 = -2*t for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -53*n**3\/3 + 3*n**2\/2 + 4*n + 47. Find the second derivative of d(k) wrt k.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, l: 6, j: 1, f: 1}. Give prob of sequence llkf.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -11*c**2 + 71. Let b(w) = -4*w. Determine b(n(d)).\nAnswer: 88*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*v**2 - 9 - 29*v**2 + 48*v**2 + 84*v**3 wrt v.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 4) to base 7\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 take away 245.65698261?\nAnswer: -387.65698261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003155 rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + -4*sqrt(468)*1)**2*2.\nAnswer: -96*sqrt(13) + 14978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2546951?\nAnswer: 11, 23, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 39\/16709?\nAnswer: 39\/16709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2288231 (base 9) to base 6.\nAnswer: 42322214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1516 is divided by 610.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p - 22. Calculate l(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**2 + 2*z - 2. Let y be (-58)\/6 + 6\/9. Let l = y - -7. Let x(r) = -5*r**2 + 3*r - 2. What is l*x(q) + 3*b(q)?\nAnswer: -2*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)\/(w**(-2)\/w))**(-2\/95))**36 assuming w is positive.\nAnswer: w**(144\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-111)\/((-175935)\/(-16484)))\/((3\/(-6))\/((-10)\/(-4))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10944623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 8, -4\/9.\nAnswer: -4\/9, -2\/23, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 62*x**3 - 7*x - 7. Let k(b) be the second derivative of -31*b**5\/20 + b**3\/2 + 3*b**2\/2 + 2*b + 120. Calculate -7*k(d) - 3*t(d).\nAnswer: 31*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, 0.5, -60253, 11 in decreasing order.\nAnswer: 11, 5, 0.5, -1, -4, -60253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 + 3*c**2 - c**5 - 3*c + 3*c - 2*c**5 + (2*c + 0*c - c)*(-3*c**4 + c**4 + c**4) - c**5 - 139*c - 5060013*c**2 + 5060009*c**2 + 16*c.\nAnswer: -5*c**5 - 4*c**2 - 123*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 - 32*h**2 - 54. What is c(5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 434, 741, 1048, 1355?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496, -994, -1492, -1990, -2488, -2986?\nAnswer: -3484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t + 2415*t**2 - 5*t - 2896*t**2 + 3*t to o*t + n*t**2 + k and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.8 - -29. Is y less than 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/3150 and 11\/1575.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n - 70. Let z(t) = t + 25. Let q(i) = -5*p(i) - 14*z(i). Let a(u) = 6*u**2 + 3. Give a(q(r)).\nAnswer: 216*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 5*x**2\/2 + x - 261. Let g(y) = -y. Calculate 6*g(u) + w(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1.6. Let j(z) = z - 3. Let p be j(-3). Let d be 66\/(-60) - p\/10. What is the nearest to d in -2, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -114, -2\/5, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 0.06 (c) -5 (d) -0.12211\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s + 17. Let v = 988 - 980. Calculate n(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 931510180 to the nearest integer?\nAnswer: 977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**2\/5 - 28037*z\/5 - 16824 = 0.\nAnswer: -3, 28040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 + -6 - 0) + -4 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 4:43 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4323*y**4 + 1809*y**3 - 4*y**2 - 1673842*y + 47?\nAnswer: -51876*y**2 + 10854*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - -278. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 3, -5, 16203784?\nAnswer: 16203784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(200)*1 + sqrt(200))*5 - (sqrt(200) + 5*sqrt(200)*1))\/(-2*sqrt(64)*-2*5) + -3)**2.\nAnswer: -2*sqrt(2) + 129\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - (43 + -125 - -157).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375*x + 183*x + 400 = -176*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3063*p**3 + 14*p**2 - 17*p - 45. Is y(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/360 + j**5\/15 - 5*j**4\/24 + 4*j**3\/3 - 6. Let p(o) be the third derivative of w(o). Does 20 divide p(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*o - 79*o**2 - 90*o + 2 + 163*o as r*o**2 + t*o + g and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let i = g - 4. Let t = -657\/7 + 94. Which is the nearest to -0.1? (a) t (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 8. Let l be p(3). Let w = -1 + 2. Let f = w + -0.8. Which is the nearest to 1? (a) f (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-14))\/(42\/147)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**4\/4 - 3*c**3 + 3*c**2 - 7*c + 19. Suppose 0 = 5*o - 28 - 22. Is 16 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759895663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -195614\/33 - -5929. Let m = x - 7\/11. Is 1 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 79 = 6086*w - 6088*w, 0 = l + 5*w - 2 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 + -7)\/(1\/(-18)). Suppose 4*a + 2*s - 126 = 0, -3*a + 3*s - 1 + 73 = 0. Let x = a + u. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4164219 and 12627.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1c7 (base 13) to base 11\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.00467 + -0.00197. Round t to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**3 - 1165*g**2 + 33805*g + 34965.\nAnswer: -5*(g - 27)*(g + 1)*(g + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 17*f**2 - 21*f. Let m be g(7). Solve -251*k + 253*k + 10 = m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126 and 144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -93?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + (-1456)\/247)\/(-1). Sort -2\/79, -0.4, b.\nAnswer: -0.4, b, -2\/79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -136\/1598451?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 30)*(-7)\/28. Solve -l - a = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151.12 - -6.28. Let w = c + 145. Let h(q) = -q - 2. Let s be h(-3). Do s and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 133*s - 136*s. What is the common denominator of -83\/12 and (-115)\/6*s\/(-2331)?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/47? (a) 0.7 (b) 1\/2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/156640 and 17\/900680.\nAnswer: 3602720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4151453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 = -5*z + 4*w, -3*z - 2*w + 1449 = 1549 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d + 6*d**5 - 4*d + (-45*d**4 + 22*d**4 - 20*d**4)*(0*d - 2*d - 9*d).\nAnswer: 479*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-295)\/50 - -8) + -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9634158, 19268313, 28902468, 38536623, 48170778?\nAnswer: 57804933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3832 is divided by 3832?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cud when three letters picked without replacement from dcudccddnrcc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.929489 hours?\nAnswer: 24946160400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/60 - 12\/(-18). Let w(r) be the second derivative of 0 - 1\/6*r**3 + d*r**6 - 1\/12*r**4 + r + 1\/20*r**5 + 0*r**2. Solve w(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7314 divided by -159.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(20) + 0.\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 3:32 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5\/7)\/(b**(-1)\/b))\/(b**(-7)\/b**(-11)))**(-2\/121) assuming b is positive.\nAnswer: b**(38\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 233867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -13. Let q(x) = -x - 2. Let p be q(h). Suppose 0 = -r + 2*i + 6, -2*i = 3*i. What is the greatest common divisor of p and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11747692 is divided by 950.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + g - 4. Let b be (2\/(-3))\/(8\/(-36)). List the prime factors of u(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u - 8*u + 2*u**2 - 13 - 10*u + 2. What is the units digit of w(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*w - 10053*u + 10051*u, 0 = -w - 4*u - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 5\/6 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14.4 - 14.45. Let y = -10 - -10. Let n be 0 - (y + 1 - (3 + -1)). Which is the second smallest value? (a) -4 (b) 0.2 (c) n (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 0.3. Let q = -4.41 - -3.41. Let f be ((-16)\/10)\/((-2)\/5). Which is the second biggest value? (a) d (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12387434*g**3 - 2069*g**2 + 37 wrt g?\nAnswer: -74324604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x + 8*x**2 - 36*x**2 - 32*x.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 104631668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppffffpkpppfpfpfhkp. What is prob of picking 1 h and 1 p?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41256 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -9*p**4 + 25*p**3 - p + 6. Let q(w) = -w. Let i(a) = -n(a) + 10*q(a). Find the second derivative of i(f) wrt f.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/sqrt(44) + 1*sqrt(22)\/sqrt(2) - (1*(sqrt(44))**2 - (sqrt(55)\/sqrt(5) + -4)).\nAnswer: -48 + 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 668 and 9018?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Let z be (-65)\/(-25) - 2\/(-5). Let j be (66\/12)\/(z\/6). Solve -j - c = -5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 + 4?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -111. Let q be (i - 2*-231) + 4. What is the greatest common factor of q and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/((-16)\/48)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3115196167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + p + 48. Let z be m(0). Suppose 24 = 4*r - z. Let a = -303 - -321. What is the highest common factor of a and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcpgppccpppecgnpg. Give prob of picking 2 g and 1 e.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 + 23 - 61)*(0 + 2 - 5)*(-197*n**3 + 197*n**3 - 2 + 20*n**4)*(2 + 0 + 0) to b + l*n**2 + p*n**3 + m*n**4 + t*n and give b.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -13. Suppose -d*x + 630 = 5*w, 2*w + 149 = x + 20. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 7260\/13, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021899.\nAnswer: 3, 340633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-10)\/(-4))\/(-5)). Let u(h) = -h**3 + 7*h**2. Let r(b) = b**3 - 14*b**2. Let s(m) = i*r(m) - 10*u(m). Find the third derivative of s(d) wrt d.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 546326?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 9*x**2 - 28*x - 253. Calculate o(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1592 rounded to two dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6\/7))\/s**(2\/17)*s*s**(-2\/11)*s**(3\/34) assuming s is positive.\nAnswer: s**(2439\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408310 minus 10?\nAnswer: 1408300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*q**2 + 688*q**2 - 1931*q**2 + 644*q**2.\nAnswer: 76*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 240611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900)*-1)\/(sqrt(24)\/(-2*sqrt(8))) - (sqrt(6912) + (-1 + sqrt(6912) + 4)**2))*1.\nAnswer: -6921 - 316*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + sqrt(11) + (sqrt(88) + 2*sqrt(88))\/sqrt(8) + sqrt(33)\/(sqrt(9)\/sqrt(3)))**2.\nAnswer: -10*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.8 + 10.8. What is the third biggest value in -2, w, 135?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*z + 172 = 0. Let j = -53 - z. Calculate the highest common factor of j and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18081863099 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 - 30*d**2 + 21*d + 13. Let x(m) = 3*m**3 + 30*m**2 - 19*m - 14. Let p(i) = 4*q(i) + 3*x(i). Factor p(t).\nAnswer: -(t - 1)*(t + 5)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011 + 111?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3862 - -5723. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -400, 7, 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**6\/30 - x**5\/5 - x**4\/6 - 4*x**3\/3 + 5*x**2 - 8. What is the second derivative of w(l) wrt l?\nAnswer: -24*l - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8532 - -3.2865. Round y to two dps.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -422 (base 12) in base 13?\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 - 3*d - 5. Let m be j(4). Let w(n) = n + 1. Let r be w(m). Let z be 14\/44 - 2\/4. Which is greater: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) 15 (b) 1\/313 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135 + 135 + 10*w**2 - 7*w wrt w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = k - 9*h - 20481, k - 3*h - 20484 = 0. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.35 - 1.35000185. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from ipipiqiqiqiqqiqq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(170)*-2)\/((sqrt(10) + sqrt(10) + sqrt(40)\/sqrt(4))*-1) + 1.\nAnswer: -2*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 288*a - 2217. Calculate g(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -713784 at most as big as -713784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*g = 24, 4*w + 7*g - 5*g + 96 = 0. Let t be ((-8)\/16)\/(3\/w). Which is the second biggest value? (a) -2\/17 (b) t (c) -2\/35 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)\/(b\/(b\/b**(-6\/11)*b)))\/(b\/(b**0*b)*b)**2)**21)**(-1\/20) assuming b is positive.\nAnswer: b**(189\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -189 (c) 5 (d) 2\/17 (e) -2\/9 (f) 1\/72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16925 + -16911. Sort i, -2, 1, 5 in increasing order.\nAnswer: -2, 1, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 21 + r**2)*(-5*r - 2*r + r) + (2*r**2 + 4*r - 4*r)*(-1 - 2*r + 1) + 2*r**3 - r**3 - 2*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-27)*-6*1911\/(-910)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)*-2 - sqrt(252))*5 + sqrt(252) + 2*((sqrt(175)*-3)**2 + sqrt(175)).\nAnswer: -74*sqrt(7) + 3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3357 (base 9) to base 2.\nAnswer: -100110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/10 + 3*w**3 - 7*w**2. Differentiate z(r) with respect to r.\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 59 (b) -345\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*o**3*p**3 + 3*o**2*p**2 + 49*p**3 - 3*p wrt o.\nAnswer: 822*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23182.53 hours in nanoseconds?\nAnswer: 83457108000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -23*n - 4. Let j be r(11). Let s be (18\/(-5))\/((-6)\/(-160)). Let f = s - j. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 4*n - 2. Suppose -5*z - 4*i - 4 = 0, 4 + 0 = 3*z + 4*i. Let t be (2\/z)\/((-1)\/14). Is u(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -100, -74, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1192*v**2 - 964 wrt v?\nAnswer: 2384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/4815059 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270.2 + -255. Let a = o - 15.20248. What is a rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**3 - 7*k**2 + 6. Let y(o) = 2*o**3 - 3*o**2 + 3. What is -3*r(q) + 7*y(q)?\nAnswer: -q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i + 5. Let c be r(0). Suppose -3*g - 5*j + 3*j - 1044000 = 0, 0 = -5*g - c*j - 1740000. Round g to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006691 rounded to six dps?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126.692 + -0.308. Let o = z + 124.4. Let v = o - -1.6. What is the closest to v in 1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1587570.8 + 1587582.4792813. Let z = -1.3206697 - n. Let i = z - -13. Round i to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.68002 + -4?\nAnswer: -18.68002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 23 - 20)*(-53*k - 162*k + 195*k + 1091*k) as r + i*k and give i.\nAnswer: -10710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q**2 + 1470*q + 11807. Determine u(171).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2\/b*b*b*b\/(b**2*b*b))\/((b\/(b\/(b**(-7)\/b)))\/b**(1\/18)))\/(b\/b**(-4)*b**(-2\/7)*b*b*b**(-1)*b**4) assuming b is positive.\nAnswer: b**(-209\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47975381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19883793*s**2 - 3*s + 6781248.\nAnswer: -39767586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2067\nAnswer: 4134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 5 - 4 - r**3 + 4*r**2 + 1 to the form l*r**2 + m + k*r + h*r**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/17939931 and -2\/185.\nAnswer: 89699655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 9. Let c be 1 + -4 + 0 + h. Let m = c - -11. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v + 5. Let c(r) = -133*r + 9. Let a(f) = -33*f + 2. Let g(u) = -4*a(u) + c(u). Suppose -3*q = -4*q - 6. Give q*g(y) + n(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 469348791 and 0.2.\nAnswer: 469348791.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3405 (base 8) in base 5?\nAnswer: -24142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183 + 193. Calculate the remainder when 17 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 0*k - 2*o = -26, 220*k + 4*o + 40 = 9*o - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3656a (base 16) to base 9.\nAnswer: 368270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:06 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31560 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 2*b - 4. Let f be j(2). Solve 3*c = -c - f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {n: 5, p: 1, j: 7, v: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 8\/7*h**7 + 0*h**4 + 16 + 13\/3*h**3 + 0*h**2 + 0*h**5 + 0*h + 0*h**6. Find the third derivative of y(k) wrt k.\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 3003.8751?\nAnswer: -3003.7751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v + 9. Suppose -84 = -6*d + 2*d. Calculate the greatest common factor of v and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 89 + 5 = 0. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -1, 0, 1, 2, -2 in descending order.\nAnswer: 2, 1, 0, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91811*z**3 + 183505*z**3 - 91693*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28147, 28144, 28141, 28138, 28135, 28132?\nAnswer: 28129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10023?\nAnswer: 3, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3683335826 less than -2?\nAnswer: -3683335828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.20786288 and 36.381.\nAnswer: 36.58886288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, h: 1, t: 1, g: 1, l: 4}. What is prob of sequence ol?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2412 and -3.\nAnswer: 0.7236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = p - 8, -5*q - 28*p + 25*p = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, c: 1, v: 2}. What is prob of sequence ncv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 - 72. Let r = -15 + 36. Let a = t - r. Solve 2*j + a = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 9*w + 7. Let x be 20\/6*84\/70. Suppose i + 36 = 4*i - x*s, 9 = -3*s. Is 15 a factor of f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q + 17. Suppose 3*f - 5*b = 9, 5*b + 4 = -5*f + 7*b. Let x be m(f). Put -1, x, -5, 2 in descending order.\nAnswer: x, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 45 (c) 194 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 2\/227 (b) 6 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 - 31 - (-3 - -12 - 20)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*-3253.9.\nAnswer: 227.773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 3*c = 4*f - 9, -2*f + 10 = 2*c. Sort f, -2, -77.\nAnswer: -77, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**4\/7 - 1399*q**3\/7 - 23508*q**2\/7 - 19316*q\/7 + 44224\/7 = 0.\nAnswer: -1382, -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14245990103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/230*-2 - 18\/92*26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 44*t + 24. Let m(f) = 9*f + 5. Let i(o) = -5*d(o) + 24*m(o). Let w be 0\/2 + (-1 - -2). Let h = -2 + w. What is i(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-1 + (-21)\/(-12)). Suppose y*r - 41 = 5*n, 0*r + 2*r + 3*n = 21. Solve 2*j + m = 7*j - r, -j - 8 = 5*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and 1114512966965?\nAnswer: 1114512966964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(4*u - 4*u + u)*(56 - 14 + 43)*(-8*u - 6*u - 2*u).\nAnswer: -2720*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74.9 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 674 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380*l**4*s + 18*l**4 + 4*l**3*s + 273411*l**2*s wrt l.\nAnswer: -9120*l*s + 432*l + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 130578 = -2*z, -5*x - 817556 + 164624 = -3*z. Round x to the nearest one thousand.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1\/5 (c) -19140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9370 and -0.2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {r: 11, y: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-93672)\/(-22) + (-38)\/(-209) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 0*g - 20 = -4*m + 12, 3*g = -g + 11*m - 178 + 71 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x**4 + x**4 + x**4)*(-4 + 2 + 3) + (-3*x**3 + 0*x**2 + 0*x**2)*(2*x - 4 + 4) to y*x + k*x**4 + b*x**2 + o + r*x**3 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.5, 0.04, 13, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -54*j + 1029. Suppose 677 = 4*u + v, -2*u - 7*v + j = -2*v. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -273726, -547459, -821196, -1094937, -1368682?\n\"Answer: -2*v**2 - 273727*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k + 4. Let l be i(3). Let m = -32 - -29. Let q = m - l. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 58*v + 19. Let z(j) = -28*j - 9. Let u(b) = -6*l(b) - 13*z(b). Let c(t) = t - 1. Let o(i) = 6*c(i) + 2*u(i). Let w(q) = -2*q**2. What is o(w(r))?\nAnswer: -76*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26495 is divided by 26358?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(210\/(-7)))\/(5\/20).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**3\/3 - 9*t**2\/2 + 3*t - 1. What is the remainder when 33 is divided by w(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173 - 173 + 121489*c.\nAnswer: 121489*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 689696718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5949292 millilitres in litres?\nAnswer: 0.0005949292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*(-3)\/6*101 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18636666 is divided by 73?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.7 - -2.3. Let s = k - 2. What is the nearest to s in 5, 1, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**4\/24 - 5*j**3\/6 - 9*j**2. What is c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1980)\/25)\/(-6) - 2\/10. Solve 5 - 11 = 4*n + 2*f, -5*n + 3*f = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 342 = -8*s. Let f = 9 + s. Suppose 4*a - 78 = f. Find the common denominator of a and 62\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -54. Solve 3*b = t*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 + 3*l - 17. Let c be b(-5). Let y = -92 + c. Let a be 1 + 1 - (-48)\/(-18). Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 19 = h - 9*q, -5*h - 14 = 2*q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8. Suppose 2*d - 2*a = a + 4, y = d + 5*a - 2. Let f(t) = -t + 22. Let z be f(0). What is the highest common factor of d and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 2. Let l be 8\/(-36)*(-33)\/(-4). Let c = 5\/3 + l. Sort c, h, 1\/7 in increasing order.\nAnswer: h, c, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**3 + 1942*b**2 + 31314*b.\nAnswer: -30*b + 3884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.921 and 0.5?\nAnswer: 1.9605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.02263949 rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/210 + j**6\/30 + j**5\/10 + j**4\/24 - 5*j**2. Let q(w) = w**3 + w**2. Let p(z) = -5*q(z) + y(z). Factor p(r).\nAnswer: -r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1435431)\/(-76))\/(4\/128) + 5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137823 * 5.\nAnswer: 689115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 176 + 16624?\nAnswer: 16800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 390?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + -3 + 2 + -2. Suppose -j*n - h + 10 = h, h - 5 = -3*n. Suppose n = 3*a - 51 - 0. What is the remainder when 66 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 127?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 5*o + 1 - 6)*(2*o**2 - o + o + (-3 + 2 + 2)*(58*o - o**2 - 58*o)) to s + j*o + k*o**3 + x*o**2 and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 + 138\/(-12))*-3*8\/(-330). What is the nearest to 1\/4 in x, -21\/10, -1.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 18*k + 5100. Let l = -433 + k. List the prime factors of l.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y + 21 = 0. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1961\/10 + 1238\/5. Is f at least as big as 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1140 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 998130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -1\/6 (b) 1 (c) 3 (d) 12 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 3*b**2 - 3. Let q(n) = 1306*n**3 - 1906*n**2 + 15. Let i(u) = q(u) + 5*v(u). Find the third derivative of i(k) wrt k.\nAnswer: 7806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 10 = -5*n, 0*u = 5*u + n + 2. Let f = -217 - -229. Suppose z - f - 41 = u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-13))\/(4800\/(-83200))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665101307?\nAnswer: 13, 37, 503, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/3 in 5, 2, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1249*f - 1496*f = -4354*f - 139638 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 3 - 3)*(3*l**2 + 2*l**3 - 3*l**2)*(-52 - 68 - 67)*(4*l + l - 6*l).\nAnswer: 1496*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 77 + -9 + (3 - 0). Let q = i - 96. Which is smaller: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + h - 3. Let p be o(0). Let q = 7 + p. Suppose r - 3*y = 1, -4*r + q*y = -5 + 1. Solve d - r = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/46 - ((-43674)\/(-4002) - (11 - 0))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-4)*6\/(-840)*4.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 3. Let o be r(0). Let l(g) = 3*g + 4. What are the prime factors of l(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3324639?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 2:18 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p**3 + 36*p**2 + 39*p - 333. Is n(-31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 1256. Suppose u - g = 625. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-1))\/(4\/2). Let t = x + -2. Let s be ((-1)\/t)\/((-2)\/(-4)). Solve -k - s = -4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3085 - -3088. Solve -4 = -4*y + 19*m - 17*m, -b*y + 1 = -m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*r + r - 12, 0 = 4*r - 8. Suppose 0*t + 4 = o*t. Suppose 3*s - 7 = -1. What is the second biggest value in t, s, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 + -174. Let b be (-6)\/(-10) + l\/(-30). Sort -4, 1, b.\nAnswer: -4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15595, 15551, 15489, 15415, 15335, 15255?\n\"Answer: q**3 - 15*q**2 - 6*q + 15615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60 - 55. Let h = 15 - 13. Let y = -0.7 - -0.8. Which is the nearest to y? (a) -0.1 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2*4*3. Let a be 20\/(-5) - 51\/b. Let f = -31\/5 - -33\/5. What is the closest to f in 0.4, a, 0.19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 1. Let m(g) = -g. Calculate 2*m(w) + 2*s(w).\nAnswer: -4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 4*m + 2*m - 3 + m + 4 - 4*m + (1 + 2 - 2)*(2*m + 4*m - 5*m) as y*m + c and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 12 + 1 + 0)*(-96 - 6*q + 96) in the form z + y*q and give y.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-222*v**4 - 963*v + 293*v + 223*v**4)*(-9*v - 5*v + 30*v).\nAnswer: 16*v**5 - 10720*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 15 = -2*l. Solve 0 + l = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 2*g - 26*j - 49, -13*j = -25*g + 28*g - 48 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/(-66) - (-4)\/(-22). Let j be 4*(-1)\/6 + 1. Find c such that -j + w*c**2 + 0*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -c - 4*l, 3*c + 85 - 372 = -2*l. Let r = -48 + c. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**3 + 48*s**3 + 0*s**3 + (53*s - 53*s + 2*s**2)*(-s + 6*s - 3*s) - 4*s**3 + 5*s**3 - 2*s**3 in the form p*s**3 + j*s + t + f*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1367.000929 - 1367. Round d to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -7*h**3 + h**2 - 3*h. Does 10 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4593, -4676, -4759?\n\"Answer: -83*j - 4510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212922366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 118.4 and 59.92.\nAnswer: 7094.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6699953 + -0.67. What is a rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 15*g**2 - g + 33. Calculate t(15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 4*h + 4. Suppose 7*s = -7*s + 3850. Suppose 3*t - s = -11. Let g = 84 - t. Determine a(g).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 2*s - 2. Let w(l) = 5*l**2 - 3*l - 4. Let y(r) = -4*w(r) + 7*z(r). Let m be y(2). Is ((-413)\/m)\/((-3)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6632, 6622, 6612?\n\"Answer: -10*m + 6642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18147\/17 <= 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 20*d - 58. Determine k(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2223)\/(-563160)*-456)\/(((-1)\/(-3))\/(35\/(-3)))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 242, 3, -2, -3, -4, -95 in ascending order.\nAnswer: -95, -4, -3, -2, 3, 5, 242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*r)*((1 + 0 + 1)*(5*r**3 + 0*r**3 - 4*r**3) + 3*r**3 + 4*r**2 - 4*r**2) to the form a*r**4 + q*r**2 + f*r + x + l*r**3 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -3, -15, 5, -1, 0.2, 1611?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 10*t**2 - 8*t + 11. Suppose 0 = 6*j + 24 + 12. Let h be 6*(-3)\/j - -5. Is u(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 929\/30 - -188\/15. Find the common denominator of (-15)\/14*(-8)\/(-3) and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2*-10*7\/140?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385019674 divided by 1?\nAnswer: 385019674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -1080593*o - 27. Let y(c) = c - 1. Let h(i) = -m(i) - 4*y(i). Let z be h(5). Let f = 112976 - z. Round f to the nearest 100000.\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -74. Suppose 4*c + 5*y = y + 196, 4*c - 186 = -2*y. Calculate the remainder when c is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = 67*n - 10 + 97. Let k(d) = -12*d - 14. Give k(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 320225 - 15?\nAnswer: 320210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*(0 + sqrt(7)) + -5)**2*-1.\nAnswer: -29 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3*z + 2*q - 3, 5*q - 15 = 0. Solve 3*u + z = -8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**4 - 38510538*p**3 - 904966*p**2 - 226?\nAnswer: -96*p - 231063228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -576\/11, -13, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j + 15*j + 6 = 0. Solve -4*t + 9*t - 3*o - 20 = 0, -t - j*o - 14 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (6 - 2)) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6902874 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6*u = -20. Suppose 16 = 4*n + u*f, 2*f - f = -3*n + 18. What is the second derivative of -2*y**3 + 4*y + n*y - 4*y**3 wrt y?\nAnswer: -36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7))**(-44)*(q**2*q*q*q)\/(q*q*(((q\/(q\/(q\/q**(-17))))\/q)\/q*q)\/q))**10 assuming q is positive.\nAnswer: q**2950","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + 1 + -2 + 1 - (-52 - (-138 - -73))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (-14)\/6. Let k = -32723 + 32722.96. What is the nearest to k in -0.4, j, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.64 rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520112107?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2197184 rounded to two decimal places?\nAnswer: -1.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-11)\/110)\/((-4)\/(-10)). Sort -5, 4, x.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(57)\/(2*sqrt(48)))**2.\nAnswer: 19\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 3. Suppose 0 = -b - 2*b + 9. Suppose -3*w + 2*h + 13 = 0, -2*w + 26 = b*h - 0. What are the prime factors of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2618 and 97\/408.\nAnswer: 31416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -61 - (150 - 160) - (1 - 13).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5156*n + 1731561 = 12392*n + 64501 for n.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 2, k: 1, z: 2, r: 2, h: 3}. What is prob of sequence rz?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:30 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14259 - 14245. Solve 25*z = -t - 36 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2995 + 210*f**2 + 6238 + 137*f**2 wrt f?\nAnswer: 694*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*f - 3*f - 843 = -202*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.9 and -11.\nAnswer: -75.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -2, -17, -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -0*h + 5*h. Let a(w) = -4*w**3 - w**2 + w. Let g be a(h). Let d = 7 + g. Calculate the remainder when d is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2513120 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 0)*(0*p**2 + p**2 + p**2) - p**2 + 5*p**2 - 5*p**2 + (-2*p + p + 3*p)*(p - p - 4*p) + 412 - 2*p**2 - 412 to h + l*p + v*p**2 and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 657686, 657602, 657518, 657434?\nAnswer: 657350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9, 2 in increasing order.\nAnswer: -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 139308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 - 8c27?\nAnswer: -8c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406256 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q - 2. What is r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 13. Let n(s) = -4*s**2 + 4*s - 3. Let u(x) = 3*x**2 - 4*x + 2. Suppose q + 8*w = 4*w - 9, -2*w = -q - 3. Let h(j) = q*u(j) - 4*n(j). What is h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 66*l**2 + 322*l - 263. What is n(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 2*k = f + 17, -20 = 4*k + 4*f. Let o = 3 + -2.8. Let u = o + -0.2. Which is the nearest to u? (a) 3 (b) k (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 141 - 108. List the prime factors of 5088\/14 + m\/(-77).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i**2 + 3*i + 1 - 3*i**2 - 3*i**2 - i**3. Calculate k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1289, 1196, 1057, 884, 689?\n\"Answer: 2*k**3 - 35*k**2 - 2*k + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 986*v - 380*v + 970*v.\nAnswer: 1576*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxtxxt. Give prob of picking 1 x and 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2703, 2705, 2707?\n\"Answer: 2*n + 2701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let r(s) be the third derivative of 0 + 0*s**3 - 571\/60*s**5 - 11*s**2 - 1\/12*s**4 + 6*s. What is r(n(j))?\nAnswer: -571*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-52)\/78?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 1:09 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -1)*(3 - -2). Suppose y - 3*s + 11 = 6*y, v*y = -2*s + 14. Determine c so that 0*c**3 + 2\/3*c**y + 0*c - 2\/3*c**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 11*q**2 - 7. Let h be j(11). Let i be (-22)\/77 + (-5182)\/h. Let f = i - 1280. Round f to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 16, 3, -21319, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, 5, 1, -3 in ascending order.\nAnswer: -175, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8247789 and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 27*l**5\/20 - 23*l**4\/4 + 3*l**3 + 12*l**2 - 33*l - 12. Factor f(c).\nAnswer: 3*(c - 2)*(c - 1)*(9*c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**4\/4 + 2*j**3\/3 + 2*j**2 + j + 2. Let x be m(3). Suppose -x*h = -9 - 55. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.717214 + -22.19?\nAnswer: -16.472786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 (base 12) in base 3?\nAnswer: -21200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162651851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69067984 * -1.\nAnswer: 69067984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 + 435*s**4 + 846*s**3 - 1722*s**2 - 849*s + 1287 = 0. What is s?\nAnswer: -143, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2*q + 17 = 0, -2*j - 2*q + 6 = -5*q for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 165 - 48*u**2 + 27*u**2 - 165.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 6 - (-15 - (-1386)\/144)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 2*f - 32832*f**3 + 32877*f**3.\nAnswer: 45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/((-2)\/4)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(16\/(-60))*(-2196)\/(-30). Do 1097 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-20))\/(96\/(-80)) - 11\/(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 665996158 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 2, y: 1}. Give prob of sequence hyc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 46*l**2 - 1805*l - 1216. Give b(40).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 + 8*d**2 + 7*d**2 + 10*d**2 - 26*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 12:49 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and -14.79?\nAnswer: 15.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u + 7. Let b(l) = 13*l - 28. Let x(w) = 2*b(w) + 9*i(w). Let h be x(5). Suppose -k + 4 = -h. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 1. Let c be l(-1). Let a = 40.41 + -40.61. What is the nearest to c in -2\/5, a, -13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*w = -w + 12, 3*g - w = 10. Let o be (1 - 0) + g\/(-3). Which is greater: -2\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -37. Suppose 6*y - n = 2*y + 4*b, 0 = -2*b + 10. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*w + 15 = 0. Suppose -89 = w*x - 4*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4888 + 4883. Put -0.2, c, 3\/7, 0.28, 0 in descending order.\nAnswer: 3\/7, 0.28, 0, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120*l**4 - 91*l**3 - 1560*l**2 + 181*l**3 + 500*l**3 + 845*l + 5*l**5.\nAnswer: 5*l*(l - 1)**2*(l + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3 = -3*y, -18*n - 1 = -22*n - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -17. Let b be 4*((-20)\/k + 2). Is -1 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*(sqrt(76) - sqrt(76)*1*-1)\/sqrt(4) - (sqrt(152) + 4*2*sqrt(152))\/(sqrt(8) - (sqrt(8) + (sqrt(8) + sqrt(32)\/sqrt(4))*-2)))*-1.\nAnswer: 155*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1)*(22 + 13*t - 4 - 14*t)*(t + 3 - 3)*((5 - 5*t**3 - 5)*(-1 + 0 + 2) - 2*t**3 + 10 - 10).\nAnswer: -14*t**5 + 252*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 15484075*o**2 = 0. What is o?\nAnswer: 0, 3096815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-4 + 3 + 3). Suppose -3*h - 1 + 4 = d. Calculate the highest common divisor of h and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 0. Suppose 16 = 4*h - 5*r, -3*h + 2*r + 1579 = 1567. Solve 10 = h*w - d for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38520\/(-328))\/9 + (-143)\/(-11).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2039 = -3*s + 2034. Solve -29 = x - s*l, 2 + 25 = 3*x + 4*l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*s**3 + n**3*s**2 + 2144*n**3 + n*s**3 + 77*n*s**2 - n + 201*s**3 wrt n?\nAnswer: -6*n*s**3 + 6*n*s**2 + 12864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666288 is divided by 13870.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65923452 and 14649656?\nAnswer: 131846904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022694 is divided by 14804.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30 - (0 - -2))\/(138\/(-414)). What is the highest common divisor of 312 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11758 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6, 3, -6, -21, -42?\n\"Answer: -3*y**2 + 6*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-108)\/(-20) + 4\/(-10). Solve 5*g + l = 5*h, 4*g + 14 - 2 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 11. Let s be o(-11). Suppose -2*v = 5*t + 5, s*v - 3*t - 3 = 2*v. Sort 2, -4, v.\nAnswer: -4, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*o + 120*o = -120. Solve 4*r = o - 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11718)\/324 - -36)*72\/(-10). Factor -3\/5*y**3 - h*y**2 + 6\/5 + 3\/5*y.\nAnswer: -3*(y - 1)*(y + 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, -25*z + 30*z - 5*g - 16950 = 0. Calculate the highest common factor of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11010 is divided by 94.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 13. Let p be l(9). Suppose 2 = 2*z + 2*g, 5*z + 3*g - p - 3 = 0. Solve 14 - z = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 742 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 20\/3*h**3 + 7\/2*h**2 + 0*h + 33. Find the second derivative of t(a) wrt a.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2579473 is divided by 858358.\nAnswer: 4399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 638869625 to the power of 1\/2, to the nearest integer?\nAnswer: 25276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1369*o**2 + 17*o - 18. Is 19 a factor of g(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2070302 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 s when three letters picked without replacement from krkrkskkcsrrckqcrr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*o + 0 + 18*o - 76)*(3 - 23 - 8) to the form f*o + j and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 5)*(-86)\/4. Let z = d + 61. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l*l\/l**(-1\/4))\/l)**8*(l\/l**(2\/9)*l)**(1\/41))**(-1\/12) assuming l is positive.\nAnswer: l**(-4805\/2214)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 41823853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - -11. Let h = r - 34. Let k = 12.5 + h. What is the nearest to 0.1 in -3, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2. Solve 0*z - 5*x = -u*z - 15, 0 = z - x + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + ((-3580)\/(-4) - -3) - 3. What is the smallest common multiple of (-2)\/7 + (-5)\/((-210)\/p) and 4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = -7, -2*q - 13 = -5*p. Suppose 5*x - p*x - 22 = 0. Let m(i) = 7*i - 6. What is the units digit of m(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 15*t + 19. Let r be i(-17). Let v = 8 - r. Suppose 4*k - v = -3*u, 0*u + 5*u + 4*k = 41. Solve 0*x + 3*x = -u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 2*c = 2215. Let a = 885 + c. What are the prime factors of a?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.965 - -0.035. Sort 1\/2, s, 4, 0.2.\nAnswer: 0.2, 1\/2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l - 34*l**2 + 2*l + 54*l**2 to the form a*l**2 + h + d*l and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*-6)\/sqrt(10).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -3 + 8 + -8 + -5 + 1 - 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*l - 104*l + 190*l - 1098*l**2 to the form p + d*l + t*l**2 and give t.\nAnswer: -1098","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 5*n**3 - 5*n**3)*((2*n + 5*n - 5*n)*(-1 + 2 - 3) + 82722 - 598*n - 82722).\nAnswer: -1204*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 + 0. Let s = -386.036 + 386. Let x = s - 0.364. Which is the third smallest value? (a) -0.3 (b) 0.2 (c) x (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 865696.2 seconds?\nAnswer: 865696200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -12*w**4 + 5128*w**3 - 435020*w**2 - 28259616*w + 700096320 = 0.\nAnswer: -164\/3, 20, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22131*k**4 - 2*k**3 + 203176?\nAnswer: 88524*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 - 6*s**2 + 0*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byyxbbyxxybeycy. Give prob of picking 3 y and 1 x.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -11508.4.\nAnswer: 11508.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5 = 2*g, 0 = -3*g + 2*w - 3*w + 15. Calculate the lowest common multiple of 6\/((g\/3)\/2) and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437044021?\nAnswer: 7253, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/2*4)\/(-8*60\/1200)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -26, -94, -228, -452, -790?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*r = -0*r - 14, -18 = 4*f - 5*r. Let n be f\/(-36)*5 - (-7)\/(-14). Let t = 1 + 0. What is the closest to t in n, -2\/3, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 11 = 5*k. Suppose -j + 66 = k*j. Let s = 39 + -17. What is the highest common factor of j and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*z - 35, -35*z - 32*k + 27*k - 47 = -32*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-21) + 258\/21. Suppose 0 = n*j - 10*j - 4. Factor -314 + 4*r**j + 12*r + 314.\nAnswer: 4*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in 2\/11, 0, -4, 58?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530\/925 - 504\/840?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -403\/20 + 79\/4. Let o = -6133\/70 - -175\/2. Let b = u - o. What is the second smallest value in -4, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-981\nAnswer: 294.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**4\/18 - 10*f**3\/9 - 11*f**2\/3 - 137*f. Factor d(k).\nAnswer: 2*(k - 11)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 62 + 134b2?\nAnswer: 13524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 4*t - 2. Let y = 9 - 7. Suppose 0 = 3*s - 6 - 6. Let f = s - y. Let b(p) = -10*p**2 - 13*p - 7. Calculate f*b(g) - 7*q(g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/4702 and 1\/11.\nAnswer: 51722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 255 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 496111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/(-24))\/((-4)\/(16\/(-20)))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 15428675780 to the nearest 100000.\nAnswer: 15428700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -65485 divided by 5\nAnswer: -13097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 2 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001416524 plus -9?\nAnswer: -9.001416524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3424652?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -2\/7 (c) 45 (d) 95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117268.\nAnswer: 2, 19, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14.6665 or -6?\nAnswer: 14.6665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7638, -4504, -16658, -28830, -41026, -53252?\n\"Answer: -s**3 - 12135*s + 19774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(0 + -1))\/(((-966)\/(-224))\/(-23)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 + 54*o + 90. Calculate x(-16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*q + 60*q = 170 - 0. Which is bigger: q or -29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(9126125\/(-30))\/25 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 30987, 62019, 93051, 124083?\n\"Answer: 31032*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c - 86\/7*c**3 + 12*c**2 + 0.\nAnswer: -2*c*(c - 1)*(43*c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/21*(-18)\/(-15). Let j(w) be the first derivative of -2 + 2*w**p - 2\/3*w**3 - 2*w. Factor j(f).\nAnswer: -2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 30*k - 17. Let o(y) = -15*y + 8. Let g(w) = 9*o(w) + 4*x(w). Let i be g(-2). Suppose 0 = 5*l - i - 81. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4*r - 6. Let q be b(3). What is the smallest common multiple of 4 and (-16)\/(-6)*q\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3796, -3834, -3872, -3910, -3948, -3986?\nAnswer: -4024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14366 is divided by 1687.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7be (base 16) in base 15?\nAnswer: -8c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1576?\nAnswer: -1575.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 867\/8*k**2 + 3\/2 - 51\/2*k.\nAnswer: 3*(17*k - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 394775590 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.494 + -1.494. Which is the smallest value? (a) w (b) -1\/9 (c) -3\/5 (d) 7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -48*n**3 + 11*n**2 + 9*n + 5. Let b(g) = 144*g**3 - 32*g**2 - 28*g - 16. Let c(r) = -5*b(r) - 16*f(r). Determine k so that c(k) = 0.\nAnswer: -1\/6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 1 = -3*y. Is y*13*1\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 93*w = 0. What is w?\nAnswer: -31, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 1, r: 11, v: 1, q: 1, y: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 - (-1 + 9978) - -2. Let i be -1 - 6*v\/15. Let q = -954 + i. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -4*d + 1082. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -557700 by 1014.\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 25 = -4*r, 3*v - 5 = r + 2*v. Let z(b) = b**2 - b - 24. What is z(r)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 95 = -5*t, 2*f - 4*t - 58 = 5*f. Let a = -123 - -163. Let r = f + a. Is r a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 79 - 81 - 77 - 226*m**3.\nAnswer: -226*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 0 + 0*x**3 - 2*x**2 + 1\/12*x**4 + 0*x. Let y(d) = 2*d - d - 5*d. Determine y(v(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 + -136 + -31 + 156?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, -217, -620, -1185, -1912?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -5e?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/33*-5*12\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.29125 + -2?\nAnswer: -1.70875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o**2 + 6. Let b = 165 + -161. Suppose 4*v = -0*v - 4*p + 36, -b*v + 39 = 5*p. Let c(m) = -m**2 - 1. Give v*c(h) + s(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 AM and 11:42 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 11:11 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 15004.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -2*p + 4*v - 22, 2*v + 103 = -5*p. Let s = p + 77. What is the highest common divisor of 116 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 12*s**3 + 8*s**2 + 25*s + 4. Let a be c(12). Suppose -a - 1500 = -4*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1537 + a81?\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3010315 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*a - 2*n, -16 + 1 = -3*a + n. Let k = 44 - 24. Calculate the smallest common multiple of 4\/(a\/(50\/4)) and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4406.9 (b) -2.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((102\/(-1530))\/((-4)\/30))\/((-2)\/(-124))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 739190 and 88780.\nAnswer: 1930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 3*v**5\/20 - 5*v**4\/12 + v**2\/2 + 8*v. Is q(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-28)\/(-21))\/(-1) + -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 612 - 611. Calculate the lowest common multiple of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 i when four letters picked without replacement from ttttttttttittttttt.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 - 5102*b - 100800. Give q(-20).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12869288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 25 - 35 = 0. Let n(o) = 3*o**3 + 4*o**2 + 2*o. Determine n(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.18, -5, 4\/373, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 9*m**3 - 24*m**2 - 3*m. Let k(z) = -20*z**3 + 45*z**2 + 9*z. Determine -9*f(d) - 4*k(d).\nAnswer: -d**3 + 36*d**2 - 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244285*n**3*z**4 + n**3*z**3 - 3*n**3*z**2 + 5*n**2 + 326*n*z**2 wrt z.\nAnswer: 5862840*n**3*z + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggrrgrrggrrvr. What is prob of picking 2 g?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*1\/(-6)*8. Let n(l) = -7 - 1 - 5 + 3*l + 9. Calculate n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2, 64, -2.\nAnswer: -11, -2, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**2 - 250*j = 0 for j.\nAnswer: -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -613 + 313 + 554 + 184*v**2 with respect to v.\nAnswer: 368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 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 f = 7457 + 16364. Suppose -5755 = 8*n + f. Let d = n + 6504. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-2))\/y*y**(-7))**44*(y\/(y\/(y\/y**(2\/37)))*(y\/(y\/(y\/y**(-2\/15))))\/y)**(-1\/3) assuming y is positive.\nAnswer: y**(-366899\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 2\/7, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260988 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 + 97. Suppose -32*f + 9500000 = -q*f. Round f to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-81))\/((-4)\/108).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 1 = m, 0*m = -m - 4. Let k(w) = -w**3 + w**2 - w + 1. Let z be k(p). Let o be 7400\/518 + 15*1\/21. Solve 3*u + z*u = -o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10080.63013 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2040578440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661708418 to the power of 1\/2, to the nearest integer?\nAnswer: 51592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2578 - 5?\nAnswer: -2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 19*m**2 - 15*m + 1517. Calculate o(0).\nAnswer: 1517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 13437219?\nAnswer: 94060533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 13*n. Let g(f) = 48*f**2 - 36*f**2 - 6*f**2. Calculate g(p(a)).\nAnswer: 1014*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.48444 millilitres to litres.\nAnswer: 0.00248444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164241 and 54945?\nAnswer: 30384585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 5*x - 5*x - 1886*x**3.\nAnswer: -1886*x**3 + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:38 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - c + c + (6*c - 6*c + 11*c)*(-5 + 10 - 3) as n*c + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 21*n + 63 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 15, -2, -35, -90, -173, -290, -447?\n\"Answer: -f**3 + f**2 - 3*f + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-4)\/9 - (1 + 33141\/(-27))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 17\/3)*-3. Put o, 3, 10, -6 in increasing order.\nAnswer: -6, o, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6) + 16\/6. Let m(x) = -6 + 3*x**2 - 4*x**2 - x**t. Let n = 49 - 53. Let v(i) = 3*i**2 + 7. Determine n*v(b) - 5*m(b).\nAnswer: -2*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517202.\nAnswer: 2, 7, 36943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l - 2. Let o = -10 - -11. Suppose -f - o = -3. Let w be n(f). Solve -2*s - 1 = -3*z - 7, 4*z - w*s + 12 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5255 plus -646907?\nAnswer: -652162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b (base 13) in base 16?\nAnswer: e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 27*o**2 - 73*o + 27. Let r be b(24). Let u(w) = 4*w - 11. Give u(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26230804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-288)*((-456)\/140)\/(-19).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y + 6 + y**3 - 3*y**2 - 1 + 4*y - 2*y. Let k be 1\/((-4 + 11)\/28). Calculate u(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 s when three letters picked without replacement from lttsltyssl?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53.65883 litres?\nAnswer: 53658.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 50 = -5*l + 87, -3*l + j = -89. Let v = -21 + l. Suppose 10*c = -v*c + 1206000. What is c rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11123, 22091, 33063, 44039, 55019, 66003?\nAnswer: 76991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 14*s - 56. Let f(u) = -3*u**3 + u**2 + 4*u - 7. Let q be f(s). Let r = 850 + q. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/540 and 91\/80?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2211517037 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4000 and 8891000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 463680 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*128\/(-48)*54\/27.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.565 - 0.065. Let n = c + -20. Let o = -0.27 + -3.73. What is the smallest value in -0.2, n, o, 1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -172\/13, -3, -4, 598, 3.3, -1?\nAnswer: 598","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 59*r**2 + 7*r - 9. Let j(q) = 89*q**2 + 11*q - 14. What is 5*j(v) - 8*t(v)?\nAnswer: -27*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81309 + 334464 = -5133*g for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -17. Let p = 4481.017 + -4481. What is the nearest to -1 in 3\/7, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 29. Let x be 12\/3 - (0 + 3 + z). Suppose x*p = 992 - 188. What are the prime factors of p?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8094 a factor of 334254692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -24. Let p(a) = 6*a - 15. Let g be p(3). Suppose -g*b + 111 = -3*y, 4*b - y - 2*y = 143. Is b smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 147.\nAnswer: -73.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -390628 or -390627?\nAnswer: -390627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 759*o - 4792. Give u(6).\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three quarters of a microsecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.3, -2, 0.152?\nAnswer: 0.152","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2277730620 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 11*y - 13. Let u be c(9). Suppose 4*b - 6 = n + 3*b, -n = 3*b - 10. Let r = 3 - 7. What is the nearest to -1 in u, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 + 9. Let j(t) be the first derivative of t**3\/3 + 9*t**2\/2 + 18*t + 8. What is the remainder when u is divided by j(-9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*y - 2, -z + 7*y = 4*y - 19. Suppose 4*b - 15 + 3 = 0. Factor -39\/5*x**2 - 3\/5 + 36\/5*x**b - 12\/5*x**z + 18\/5*x.\nAnswer: -3*(x - 1)**2*(2*x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14357134 + 116.\nAnswer: -14357018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2040813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 21 = -48. Let k = 33 + x. Solve -5*c + 14 = -k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5407 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7)*q)\/q**(-6))**23*q**(-5)*((q\/q**(3\/4))\/q*q)\/q*q*q**4\/q*q\/(q\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(40903\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 30 = -5*v - 0*a, 2*v - a = 3. Let x(d) = -59 - 6*d**v + 59. Give x(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -39*p - 53. Give g(-11).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 11*z - 13*z - 133, -3*z = 4*o - 554. Suppose -3*w = -o + 143. Let m(u) = u**2 + u + 2. Calculate m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 2 k, and 1 y when four letters picked without replacement from {o: 4, k: 6, y: 4}?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y - 4 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 15. Is ((-6)\/c - -6) + 1033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30715114517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:05 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5. Let k be 4\/(-6) + 8\/3. What is the highest common divisor of k and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -661447 by -589.\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53582307.\nAnswer: 3, 17860769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (1 + (5*sqrt(612) - sqrt(612)) + sqrt(612))**2) + -5*(4 + sqrt(612)))*1.\nAnswer: -15321 - 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**2. Let w(j) = 2227759*j. What is w(h(y))?\nAnswer: 17822072*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**1*f*f))**24*f*(f*f*f**13)\/f*f**(6\/5))**(-42) assuming f is positive.\nAnswer: f**(6678\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**5 - 834*v**4 + 50*v**3 + 7*v**2 - 3570*v.\nAnswer: -60*v**2 - 20016*v + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2045788361.\nAnswer: 59, 2917, 11887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 + 17*v + 5. Let u(a) = -5*a**2 + 9*a + 2. Let n(d) = 4*t(d) - 7*u(d). Let h be n(6). Solve k - 2*k + 3 = h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.5, -1, -0.18, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 8*h**2 + 2*h + 18. Let v be n(-8). Solve 2*j - 20 = -v*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/70)\/(29\/203)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 22 + 45. Let t = 252 + q. What are the prime factors of t?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 2*f**2 - 4*f**2)*(-5 + 5 + 5*f**3) + (6*f**3 - 3*f**3 + 2*f**3)*(5*f**2 + 3*f**2 - 4*f**2).\nAnswer: 25*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:40 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - x - 979. Let y(b) = -7*b. Determine y(u(m)).\nAnswer: -28*m**2 + 7*m + 6853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -1 (c) 2\/15 (d) 12 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d = 10*d + 1590. Let y = d - 263. Solve y*b = -0*f + f + 2, -2*f + b - 7 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 + 7. Let y(h) = 0*h + 6*h**2 + 0*h - 5*h**2 + 0*h. Calculate y(o(g)).\nAnswer: 36*g**4 + 84*g**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18817?\nAnswer: 31, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -4*u + 2*m - 6*m, -2*u + 68 = -4*m. Calculate the remainder when 149 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -46. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-20))\/(1\/8). Suppose 2*u = 2*v + f, 0 = -u - 5*v - 0 + 3. Let k be (-3 - -10)*(2 + 1). Calculate the greatest common factor of k and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/(-15) + -3)\/((-14)\/1190). Sort -5, z, 7 in decreasing order.\nAnswer: z, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 7:32 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 5*q - 4. Let h be i(6). Let c = 218 + -66. Let d = -156 + c. What is the fourth biggest value in h, -2\/11, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*(-8)\/5*285375\/(-3044).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -478 = 4*a - 5922. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (152 - 0) + 32\/16. Let i = -458\/3 + w. Suppose 0 = -2*n + 4, 0 = 3*b - 5*n + 22. What is the nearest to -0.02 in i, 3, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/164 and -43\/36.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396 is divided by 64?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*k**3 + 83*k**3 - 102 + 509*k**2 - 507*k**2 as g*k**3 + p + n*k + s*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**8*b**(-6)*b)\/(b**0)**(2\/15)*(b*b**8)\/b**(-3\/2)*((b\/((b*b*b*b**(1\/2))\/b))\/b)**34 assuming b is positive.\nAnswer: b**(-173\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -6.18.\nAnswer: -0.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1100?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -33*c. Let b(r) = -860*r. Let o(a) = -5*b(a) + 129*n(a). Let w(t) = -2*t. Give w(o(i)).\nAnswer: -86*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvqn when four letters picked without replacement from xvniqxvvvnnvqqi.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 850 and 22.\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7296.37ug?\nAnswer: 0.00000000729637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 504.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, s: 4}. Give prob of picking 3 a.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3)\/((-6)\/63). Let m be (21\/x)\/(3\/(-4)). Let w(q) = -2*q**2 - q - 2. Let g(b) = -8*b**2 - 5*b - 8. Calculate m*g(v) - 9*w(v).\nAnswer: 2*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2918832 by -294.\nAnswer: -9928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 8. Let h be j(7). What is the common denominator of 97\/16 and h\/(-15) + 1118\/(-120)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (0 - -2) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j**2 + 2*j**3 - 4*j**3 + j**3)*(-2276*j - 7779*j + 2964*j - 2689*j) to k*j**3 + s*j**4 + m*j + o + r*j**2 and give s.\nAnswer: 9780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15235 + 4*p + 15235.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 675 and 0.17476.\nAnswer: 117.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 589483.\nAnswer: 29, 20327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/18*(1 - -1). What are the prime factors of -1*(1 - -24)\/t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4*c**2 + 16*c - 8. Let s be j(3). Let g(n) = -21*n**3 + 4*n**2 - 4*n + 4. Let q(y) = 986*y**3 - 187*y**2 + 187*y - 187. What is s*q(w) + 187*g(w)?\nAnswer: 17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**4\/4 - 15*n**3 + 393*n**2\/4 - 228*n + 144 = 0.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326763?\nAnswer: 3, 36307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1204 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 6:13 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(77)\/(sqrt(275) - (sqrt(275) + 1*sqrt(275) + sqrt(275))) - (sqrt(7) + (sqrt(28) + 1)**2)*-2) + 5)*3.\nAnswer: 297*sqrt(7)\/10 + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from ttmjnxtmttjjjtjst.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -36*q**4 - 40*q**3 + 20*q**2 + 3*q. Let u(a) = -24*a**4 - 27*a**3 + 14*a**2 + 2*a. Let o(h) = 5*i(h) - 7*u(h). Factor o(c).\nAnswer: -c*(c + 1)*(3*c - 1)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6975*z**5 + 16899*z.\nAnswer: -139500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4743 divided by 1312\nAnswer: -4743\/1312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Suppose 0 = 2*p - c*u - 28, 7 + 5 = -3*u. Find the third derivative of 20 + 2*y**2 + p*y**4 - 6*y**4 - 20 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8\/115 (b) -2066 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14090357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 4*n**2 - 2*n + 3. Is 7 a factor of f(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-55)\/(-20) - 3)*6. Which is the closest to 1? (a) 0.1 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101100101100000 (base 2) to base 7.\nAnswer: -515526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21*((34 - 10) + -25).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 - -588. Let q = -380 + i. Let d(j) = -j**3 + 8*j**2 - 7*j - 4. What is d(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djdj when four letters picked without replacement from {x: 1, d: 2, j: 6, w: 3}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1219749715.28951 - -1219868398. Let w = 118684 - r. Let z = 1.29 - w. What is z rounded to 5 decimal places?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 15880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 + -399. Is -1\/89 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2505.072ug to milligrams.\nAnswer: 2.505072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20181 is divided by 435?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 2*k**3 - 4*k**3)*(-3612 + 3612 + 151*k**2).\nAnswer: -151*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 3*t**2 + 3*t + 1. What is the smallest common multiple of 15\/5*(-1)\/(3\/(-10)) and f(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 294, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 at least 2139\/5654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*u - 63 = 0. Let n(f) = -f**2 + 10*f + 317. Let x be n(24). Do x and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 200173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5 - (-10 - -12)) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {z: 2, i: 4, s: 2, r: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 120\/70)\/(14 - (207\/(-126) - -12)).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 3:53 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93767.05 meters in centimeters?\nAnswer: 9376705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 0.2 (c) -1.1 (d) 0.3 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w - 24*w = 143 - 83 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1203 - 7*p + 2*p - 4030 + 1165 + 1199 + 463.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18639 is divided by 3690?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + 5*c**3 - 37 + 3*c as k + g*c**2 + y*c**3 + x*c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 + 153*t\/5 + 156\/5.\nAnswer: -3*(t - 52)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2244, 2290, 2338, 2388, 2440, 2494?\nAnswer: 2550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -55c996 (base 15) in base 6?\nAnswer: -223415310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-83)\/(-1)*(5 + -2 + -2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*g + 31 = 20, 3*g + 5 = 4*j. Which is the nearest to -24? (a) -0.1 (b) 0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -23361, -61 in descending order.\nAnswer: -15, -61, -23361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - 8*y**4 + y + 36*y**3 - 39*y**3 as x*y**4 + l*y**3 + b + i*y**2 + w*y and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138810 divided by 6610.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2298.2891 + -1285.978.\nAnswer: -3584.2671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341 - -552. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 731, 730, 729, 728, 727?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-39) - (1 - 0))\/((-485)\/(-1940))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000357844 rounded to 6 dps?\nAnswer: 0.000358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7516 or 7517?\nAnswer: 7517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03626 to 3 decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-25))**(-41)\/((y\/(y\/y**33))\/(((y*y**(-1\/3))\/y*y*y)\/y)))**(23\/2) assuming y is positive.\nAnswer: y**(65665\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1 - 0) + 10. Suppose -2*u + w + 0 = 0. Suppose d - u*f - 8 = -4*f, 0 = 4*d + 2*f - 44. What is the highest common divisor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, -1, -29, -91, -199, -365?\n\"Answer: -2*k**3 + k**2 + 5*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 110, 0, 4, 5 in ascending order.\nAnswer: 0, 4, 5, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 581 + 19812. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55861224?\nAnswer: 2, 3, 2327551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103.63 - 103. Let d = -0.707 + t. What is d rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 0*f**2 + 2*f**2 + (0 - 3 + 1)*(-2*f**2 + 3*f**2 + 0*f**2).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/2 of a kilogram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 70326*o - 90. Let u be r(31). Suppose -5*g - u = -4*z, -15*z + 16*z = -5*g - 2179996. Round g to the nearest ten thousand.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2442.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4036857 and 3129.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**2 - 12*d + 3. Let m(s) = -s**2 + 6*s - 2. Let y(o) = -2*c(o) - 5*m(o). What is y(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0, 2, -4\/2053603, -1\/5 in decreasing order.\nAnswer: 2, 0.2, 0, -4\/2053603, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -15, 5 in decreasing order.\nAnswer: 41, 5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8097 + 8061 + a - 15845.\nAnswer: a + 313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 5*n - 15 = 0, 4*b - 13 = -2*n + 17. Suppose 2*s - b = -p - 2*p, 4*s = -p + 20. Suppose 15 = 2*l - s. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**4 - f**5 - f - 3*f**5 + f**3 - f**3 + (1 + f**3 - 1)*(f**2 + 0*f**2 + 0*f**2).\nAnswer: -3*f**5 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 5*f = -150, 5*f = 0. Let y = v - -62. Calculate the remainder when y is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1\/2, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (18\/3 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3677, -4 in descending order.\nAnswer: -3, -4, -3677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.70535m to micrometers.\nAnswer: 80705350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2 + 1174*i\/3 + 392\/3 = 0 for i.\nAnswer: -1\/3, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 34 + 6 = 0. Calculate the remainder when (4 - (4 - 1))\/(1\/31) is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 + 52 - (0 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*a + 19, -3*c - 34 = 5*a - 12. What is the hundreds digit of 329*c + (-8)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29548 and 817384.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*i - 23, -3*i - 7*x + 21 = -2*x. Let q be i*(((-6)\/(-7) - 3) + 2). Which is the third smallest value? (a) -0.2 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.5 (c) -3 (d) -3852\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, u: 1, c: 3}. Give prob of picking 3 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-140)\/147 + (-22)\/847*-11. Let t be 1\/3 + (-2)\/3. Put -4, t, h in increasing order.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42657738169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -177*y + 175*y. Suppose 7*o - 2 + 2 = 0. Calculate the remainder when o + (8 - (2 - 0)) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 3*h**2 - 7*h + 14. Let z be n(4). Suppose -a + 681 = 2*w - 6*w, a = z*w + 685. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-6)\/sqrt(8) - (1 + sqrt(684) + sqrt(684) + 2).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -594 - -274. Let o = a - -485. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {u: 9, s: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**2 - 9504*m - 2716.\nAnswer: (m - 1358)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 5 + 2)*(-4 - m + 4)*(-7*m + 2*m + 3*m).\nAnswer: -34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 6*q - 14. Let g(y) = -2*y**2 + 12*y - 28. Let i(s) = 4*g(s) - 7*x(s). Let u(w) be the first derivative of i(w). Is u(-5) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3079938, -3079927, -3079916, -3079905, -3079894?\n\"Answer: 11*d - 3079949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10967\/3 + -3655. Which is the nearest to n? (a) 2\/245 (b) -0.1 (c) -2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188796 - 94362 - 94434 + 10*m.\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 1190204520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -502\nAnswer: -1\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*f - 0*f - 2*x, 3*x - 27 = -3*f. Let h be (-4)\/(-6) + 32\/f. Suppose 4*l + h - 38 = 0. Solve l = -2*r - 0*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222266 divided by 1036\nAnswer: 111133\/518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 74911572899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (0 + (23 - 6) - 14 - 14)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(1\/10)*r))\/(r\/r**1))\/((r*r**(-9)*r)\/r**5) assuming r is positive.\nAnswer: r**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-20))\/m*m*m**(-32)*(m**(14\/5))**(-5) assuming m is positive.\nAnswer: m**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let c(o) be the third derivative of -35*o**4\/24 - 11*o**2 - 2*o - 12. Determine c(t(k)).\nAnswer: 35*k - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -876*f - 90167. Let l = -58 - -96. What is the remainder when b(-103) is divided by (-1)\/2 - l\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkttttkt. Give prob of sequence kkkt.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40.222495 and -5.\nAnswer: -45.222495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64523 (base 16) in base 15?\nAnswer: 81b45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.66014 + 0.02086. Round z to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.005 + 0.005. Is j at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**4 + 4*p**2 + 3*p - 3. Let b(a) = 10*a**4 - 3*a**2 - 4*a + 4. Let r(n) = 3*b(n) + 4*d(n). Find the third derivative of r(k) wrt k.\nAnswer: -240*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 161 - 46. Let b = f - 21. Suppose -5*t = -0*p + 3*p - 6, 3*p + 24 = 5*t. Is t at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16887 - -17088. What is the remainder when h is divided by 70?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x. Let k(r) = -3715710*r**2. What is c(k(g))?\nAnswer: -11147130*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d3 (base 14) to base 6.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 - 2.2. Let r = 4.2 - 5. Let l = 0.2 - r. Which is the closest to 2? (a) u (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1649, -1646, -1643, -1640, -1637?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 15792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 9083 (c) 2 (d) 5\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -1\/12*r**4 - 1\/12*r**5 + r**3 - 1\/120*r**6 - 5*r**2 + 0 + 0*r. Calculate s(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15510)\/99)\/(-47)*12\/25.\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 33*c**2 + 126*c - 119. What is the units digit of i(-41)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h. Let q be a(-3). Let z(v) = v**3 + 3*v**2 + 1. Let m be z(-2). Put q, -4, m in decreasing order.\nAnswer: m, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35591?\nAnswer: 35591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2005*c**2 - 2379.\nAnswer: 4010*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33211030 (base 4) to base 15.\nAnswer: -13d9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {q: 1, t: 2, s: 1, u: 1, x: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y - 48. Let f be v(-5). What is the highest common divisor of f and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8182.295ml in litres?\nAnswer: 8.182295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 12. List the prime factors of (45 - 3)\/(x\/2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltllttggttpggfp. What is prob of sequence tf?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 131010155 (base 7) in base 5?\nAnswer: 4114334234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = 4*b + 95. Suppose 5*r = -6*k + k + 15, b = 5*k + 3*r. Suppose -k*n + 4 = -1. Let g(p) = -p - 5. Let y(f) = 1. What is n*g(u) + 3*y(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 3*a + 379. Let t = a + 185. Calculate the highest common divisor of t and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1498617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877244 is divided by 96?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 205 = -893. Suppose 168*g - o*g = -240. Calculate the highest common divisor of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 437608*l - 3501120 = 0. What is l?\nAnswer: -109410, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 11. What are the prime factors of r(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(7))**2 + -5 + (2*sqrt(243))**2.\nAnswer: 970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of -i**5\/20 - 13*i**4\/12 - 25*i**3\/3 - 28*i**2 + 2843*i. Suppose d(n) = 0. Calculate n.\nAnswer: -7, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 587 - 579. Solve -4*b = 8, 0 = -4*p + g*b - 4*b - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(-2*q + 0 + 0)*(-83 + 84 + 11*q**2 - 3*q**2) as w*q**3 + l*q + c + p*q**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(-1 + (-4 - -2)). Let j(m) = -m**3 - 9*m**2 - 3*m - 8. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppyff. Give prob of sequence fyf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 5. Suppose -17 = -2*d - 5*u, -2*u - 10 + 0 = 5*d. Let a(y) = -4*y - 3. Let m(p) = 0 - 2*p - 2 - p. Give d*a(b) + i*m(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119154, 119151, 119148, 119145?\nAnswer: 119142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*o, 5*a + 57 = 2*o + 76. Let d(r) = -16*r - 4. Let p(w) = 4*w + 1. Let q(n) = -6*d(n) - 26*p(n). Determine q(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -105*b + 51. Let f(p) = -316*p + 150. Let j(s) = -4*f(s) + 11*y(s). What is the hundreds digit of j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 64. Let n(p) = -29*p - 8. Let c(d) = -19*d - 5. Let v(l) = 8*c(l) - 5*n(l). What is v(q(r))?\nAnswer: 14*r**2 + 448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1714 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 0, j + 4*b - 46 = 27. Suppose -j*h + 64*h + 44 = 0. What is the remainder when 131 is divided by h?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712548 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5, 35, 101, 215, 389?\n\"Answer: 2*t**3 + 6*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2701.165 to the nearest 100.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 518 and 77182?\nAnswer: 77182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.6 and -171621.066033.\nAnswer: -171622.666033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/25)\/((-24)\/(-20)). Let z(v) be the second derivative of 0 + 0*v**2 - 3\/50*v**5 - 1\/15*v**3 - 1\/75*v**6 - k*v**4 + 3*v. Let z(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 8*h + 4. Let i be w(-7). Let c = -51 - i. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 5*u**2 - 6*u + 6. Let j be w(6). Let r = 27636 - 27582. Calculate the greatest common factor of j and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 4, t: 5, j: 4}. What is prob of sequence txj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 718 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2 - k - 1. Let x(c) = -615*c**2 - 6*c + 2215. Let q(a) = 6*d(a) - x(a). Find the first derivative of q(t) wrt t.\nAnswer: 1134*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210418*d**3*l - 20*d**3 - 3641*d with respect to l.\nAnswer: 210418*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*h + c + 5, 2*h = 2*c + 2. What is the common denominator of 26\/32*(-8 + 4\/h) and 59\/95?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 20 = -2*j. Suppose 4*z + j*b = b - 52, -4*z - 47 = -b. Let i be (2\/(-2))\/(3\/z). Solve i = 4*h - 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -2\/25 (b) -1 (c) -32 (d) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 165 + 213 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 431897942 to the nearest integer?\nAnswer: 20782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/5 (b) -2 (c) 0.2 (d) 22642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5 + 224*h**4 - 3906*h**3 - 87860*h**2 + 391304*h - 403440 = 0. Calculate h.\nAnswer: -15, 2, 41, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-3)*-9 + -3. Are 0 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -585645 divided by -107.\nAnswer: 585645\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 - 5*h - 1. Let f(v) = 3*v**2 + 9*v + 2. Suppose -5 = 4*b + 11. What is b*f(a) - 7*j(a)?\nAnswer: 2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2624 - 1624 - 728 + 1112 = -1288*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/16, 1, -367.8, 0.1 in descending order.\nAnswer: 1, 0.1, 1\/16, -367.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 85 and 86 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmqwwmqmwtmxq. What is prob of sequence qqx?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:27 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*n**2 - 160*n**2 + 121*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(2\/((-4)\/3)). Let n = -2316 + 2318. Solve i + 3*g + n*g + 3 = 0, f*g = 2*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j + 2*j**3 - 3*j + (0 + 2*j**2 + 0)*(-24*j - 15*j + j) in the form a*j + y*j**2 + c + b*j**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -71 - -4?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2842*n**2 + 19893*n + 6. What is w(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66067213?\nAnswer: 1123, 58831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1024)*-5*-1)\/((sqrt(288) + sqrt(288)*1 + sqrt(288) - sqrt(800))*-6).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 71 = y, -5*y = c + 11 - 347. Are y and 329\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346*f + 533*f - 2477*f + 512*f + 527*f + 532*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + (-329)\/141. Let k(q) = q**3 + 4*q**2 + q - 7. Determine k(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -198 (b) 38 (c) 3\/4 (d) -0.3 (e) -0.6 (f) 1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -827 - -829. What is the third smallest value in -0.5, 19, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4040, 0.06, 0.8, 4\/19 in ascending order.\nAnswer: 0.06, 4\/19, 0.8, 4040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from aooac?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-6) - 24\/9. Let c be (2\/k)\/(1\/3). Let a = 0 - c. Solve -a*p + 3 = 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 412 - 408. Suppose 0 = -f*d + 4*w, -5*d + w + 12 = 2*w. Let x(c) = 2*c**2 + 2*c + 1. Calculate the smallest common multiple of d and x(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyrr when four letters picked without replacement from {y: 5, m: 2, r: 3, d: 2}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(-2*j + j + 0*j) - 3*j + 0*j + 7*j - 8 - 4*j + 6 + 3 + 12*j - 43 + 43.\nAnswer: 11*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/4*12\/(-18). Suppose 41 = -m*c + 173. What is the greatest common factor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + d**2 + d. Suppose 8 = 2*i + 2*i. Suppose -2*n = n + 12, i*t + 14 = -3*n. What is w(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/28 of a week?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 525638 and 10?\nAnswer: 2628190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1218\/26 - (-6)\/39. Let d = t + -31. Suppose -4*y - d = -4*m, -2*m + 5*y = 2*m - 19. Solve -2*q + 4*o + 8 = o, 5*q + m = -3*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - g + 34 - 23 = 0, 0 = 2*v + 3*g + 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29458600\/22378287 - -1\/126431. Let l = o + -1\/59. Which is greater: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*x + 2*x. Let v(a) = a**2 + 9*a + 7. Let t be ((-6)\/(-5))\/(12\/30). Let r(h) = -2*h**2 - 17*h - 13. Let s(l) = t*r(l) + x*v(l). Calculate s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13267\/4355 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 136207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2776413, 11105615, 24987605, 44422377, 69409925?\n\"Answer: -n**3 + 2776400*n**2 + 9*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 320, -1\/3, -1\/10, -2\/9?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10368 divided by 48.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5430, 10913, 16438, 21999, 27590?\nAnswer: 33205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(1\/2))**16\/((a*(a\/(a\/(a*(a*a\/(a\/(a*a**(1\/2)\/a*a)))\/a)))\/a)\/(a*a*a**(-2\/3)*a)))**(3\/14) assuming a is positive.\nAnswer: a**(47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 + 57*r**3 - 293*r**2 + 132*r = 0. What is r?\nAnswer: -33, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9) - (-12)\/16. Let p = 15 + -14. What is the nearest to 0.1 in h, p, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of s**4\/24 + 13*s**3\/6 + 2*s**2 - 109*s. What is p(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m + m**4 - 2*m - 2*m**4 + m**3 - m**3 + 0*m**3 - 2*m**4 + 0*m**3 + (m**3 + m - m)*(4 - 4 - m) + (-m**2 - m**3 + m**2)*(-43*m - 44*m + 3*m).\nAnswer: 80*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 2*j + 4*d, 0 = 2*j - d - 4*d + 11. Solve -j*a - a + 32 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 56*v**2 + 110*v + 18. Determine x(-54).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66.8 - -66.547. What is the third biggest value in -0.1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1281 + 1281. Solve -r + 5*a - 9 = v, 12*a - 7*a = -4*r - 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18105 = f + 18129. What is the closest to 1 in -5, 0.5, f, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t + 15. Let c(z) = -z**3 - 7*z**2 - z - 9. Let s be c(-7). Calculate the lowest common multiple of t and s\/(1 + (-21)\/15).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1442 - 4?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 69517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/2528843 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 96\/15 + -6 + (-134)\/10. Let o(y) = -y**2 - 16*y - 39. Let r be o(i). Solve -4*j + z + 14 = r, 0 = -3*j - 4*z + 3 - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17849 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: Let i(v) = -21*v**5 + 3*v**4 - 3*v**3 + 4*v**2 - 3. Let b(h) = -h**4 + h**3 + 1. Let x(p) = 3*b(p) + i(p). What is the third derivative of x(m) wrt m?\nAnswer: -1260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7928329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*q + 7, -3*q - 6 = -4*q + 2*t. Let s be (-3)\/q*3\/9. Let i = 0.015 + 0.085. What is the nearest to 0 in s, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -514, -729, -1062, -1513, -2082?\n\"Answer: -59*t**2 - 38*t - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2214*x - 4170. Give w(-3).\nAnswer: 2472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 325669 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 4 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -27*l + 2. Let z(n) = 54*n - 4. What is 11*g(w) + 6*z(w)?\nAnswer: 27*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23.000035 + 23. Round g to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 7*p**2 - 3*p**2 + (-3 + 5 + 0)*(2*p**2 - 2*p**2 + 2*p**2) - 3*p**2 + 0*p**2 + 2*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - b**2 - 5 + 10 - 3 as q*b + g + d*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:11 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 832, 1612, 2390, 3166, 3940, 4712?\nAnswer: 5482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001666 to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3965*z**3 + 523*z**3 + 252*z**3 - 362*z**3 - 4638*z**3.\nAnswer: -8190*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7.07, 4, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m + 14. Suppose -1 = -g - 3. What is the remainder when 51 + (g - -1) - -3 is divided by o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -709*s + 676*s - 99 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 1)*-1 - (-35 - -4) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 16)*(1 - -8) + (-8)\/(-4)*-8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l = -4*d - 44 + 324, 3*l + 5*d = 388 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -178?\nAnswer: 16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474.6299 days in minutes?\nAnswer: 683467.056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39611499?\nAnswer: 3, 13203833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884106?\nAnswer: 2, 3, 49117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16725, -33164, -49603, -66042, -82481?\nAnswer: -98920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (29 + 6)) + -2 + -4 + 14\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -260015.\nAnswer: 2600.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7 - 4*l + 16 - 7*l**2 + 5*l**2. Let w be a(-3). Solve -4*q = -w*z + 19, -4*z - 5*q + q - 12 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 + -45554?\nAnswer: -45597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -45083857?\nAnswer: 45083856.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 217 - 144. Let p = d - 78. Which is the third smallest value? (a) -0.6 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-352))\/(6*48\/384)?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/10)\/((-14)\/35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3*i + 2)*(0 + 2 - 7)*(0 + 0 + i) to y*i**2 + r*i + n and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**4 - 2*q**3 + 2*q**3)*(103 + 112 - 309)*(-3 - 1 + 3).\nAnswer: 94*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 12*j**2 + 14*j - 8. Let s be d(11). Calculate the highest common divisor of 125 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:48 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/9 + 14*i**4\/3 - 103*i**3\/9 - 3866*i**2\/3 + 112028*i\/9 - 19720 = 0.\nAnswer: -17, 2, 10, 18, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 5*l**2. Suppose -t = -3 - 2. Let z be v(t). Suppose 0 = -5*o - j + 65, z*j - 2*j = 5*o - 70. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 16*a - 3*p + 3125, 6260 = 4*a + 4*p. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**2 - 3*w + 2. Let n be a(1). Suppose 1 = n*t - 8. Suppose 0*d = -2*d, -3*q + 270 = t*d. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 62, 110, 204, 350, 554?\n\"Answer: o**3 + 17*o**2 - 10*o + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -61 (base 11) to base 4\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 518 = 5*d + 2*c, 5*c = 20. Suppose -5 = -101*r + d*r. Let v = 6 + -10. Sort v, -2, r.\nAnswer: r, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + s + 54 - 22 - 22. Determine x(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1315 - 897 = -14*b. Is -12 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from {i: 1, g: 2, s: 2, l: 1, y: 8}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - (696\/(-40) - -11))\/((-2)\/2045).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 35*m**2 - 479*m - 7411. Let i(l) = -29*l**2 + 478*l + 7413. Let h(a) = -6*i(a) - 5*r(a). What is the derivative of h(q) wrt q?\nAnswer: -2*q - 473","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1415\/29147?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/26909 and 75\/2.\nAnswer: 53818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2220530 (base 7) to base 10\nAnswer: 273980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 103.128 and -0.4.\nAnswer: 102.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1014 - 342003?\nAnswer: -343022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*2 + (-4760)\/(-1218). Let j = c - 2\/609. What is the second biggest value in j, 0.3, 12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 31700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16400 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3159003224.\nAnswer: 2, 13, 701, 43331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -451500 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 44317125 a multiple of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 39*f = -13. Sort f, 2, 3, -3.\nAnswer: -3, f, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*v - 9564, -1 = -4*f - 9. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 - 5*h**2 - 2*h + 9. Let v(i) = 2*i**3 + 4*i**2 + 2*i - 8. Suppose -4*x = u + 18, 5*x + 15 = -2*u - 3*u. What is x*v(n) - 4*w(n)?\nAnswer: -2*n**3 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(11)*-6*1 + (1*sqrt(275) - sqrt(275))**2 + -5.\nAnswer: -12*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3907?\nAnswer: 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 9, 4\/7, 0.4 in decreasing order.\nAnswer: 9, 4\/7, 0.4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803514603 to the power of 1\/2, to the nearest integer?\nAnswer: 42468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1, 1\/2, 1.8, -2, 297219?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97678 is divided by 1007?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)\/(q**(3\/4)*q))\/(q*q\/q**0)**(-27\/4)*((q\/q**(-1\/5))\/q*q\/q**2)**(-1\/38) assuming q is positive.\nAnswer: q**(3713\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o. Let l(f) = -321*f + 87334. What is g(l(c))?\nAnswer: 963*c - 262002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -832.26971 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 391456957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16064 and 5020.\nAnswer: 80320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -51*t**2. Let c(s) be the first derivative of 4*s**3\/3 + 85. Give c(h(n)).\nAnswer: 10404*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -8323 + 8413 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29124, 58256, 87386, 116514, 145640, 174764, 203886?\n\"Answer: -q**2 + 29135*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z**(10\/3))\/z))\/(z*z\/(z*z**(-26)\/z)))\/(z*z*z\/(z*z*z\/z**(-2\/21)*z*z))**(2\/111) assuming z is positive.\nAnswer: z**(-70619\/2331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1111674.3 months?\nAnswer: 92639.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 387506 and 3827.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.29 and 7.06.\nAnswer: 6.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105361591 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from qqqtqxxqttqtt.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.00907, 5, 2\/21?\nAnswer: 0.00907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(588)*5.\nAnswer: 5*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1971, -7653, -17087, -30273?\n\"Answer: -1876*z**2 - 54*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0 + 0*u**2 + u - 2\/3*u**3. Let k(o) = -300680 + 300680 + 2*o. Determine h(k(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -613, -1180, -1747?\n\"Answer: -567*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27713464?\nAnswer: 2, 3464183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 11. Let g be (-14)\/(-4) + 2\/(-4). Which is the biggest value? (a) m (b) g (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2082000 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmuanxa. Give prob of picking 1 a and 1 p.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 48 - 4. Let p = l + 29. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -164. Does 33 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 4.7. Which is the closest to 1\/3? (a) -2 (b) -2\/7 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*s + 212151 = -94471 + 37117. Calculate the lowest common multiple of 54 and s.\nAnswer: 6102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 0 + 0 + ((0*r**2 + r**2 + r**2)*(-5*r**2 + 0*r**2 + 3*r**2) + (r + r**2 - r)*(3 + r**2 - 3))*(-5 + 0 + 3)*(7 + 13 - 8).\nAnswer: 68*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Suppose -y = -n - 1. Calculate the least common multiple of 13 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = -5*h. Let d be h\/(-18) - (-43)\/9. Suppose 2*l - 4*l + 6 = -3*p, d*l = 4*p + 8. Sort 2, 4, p in descending order.\nAnswer: 4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41\/4, -4.2449, 2\/3?\nAnswer: -4.2449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5440383\/82 - -66347. Calculate the common denominator of 15\/14 and f.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**4\/6 - 4*x**2. Let k(h) = 13*h. What is g(k(r))?\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -184 - 678*r**2 + 2*r - 413*r**2 + 2214*r**2 - 2*r wrt r?\nAnswer: 2246*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1050\/24 - -6 - (-3)\/(-4). Find the third derivative of -27*t**4 + t**2 - 8*t**2 + y*t**4 wrt t.\nAnswer: 528*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmlo when four letters picked without replacement from lrllrrorlmolrlrmorr?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 601, -5, -180, 1 in increasing order.\nAnswer: -180, -5, 1, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from xxxccuh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -0.4, -6\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -336.2 to the nearest ten.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 2\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -24 + (64 - 14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 12:19 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032986 is divided by 1629?\nAnswer: 1623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:21 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 169*m**2 - 4*m - 2. Let q be l(-4). Let a = -21711\/8 + q. Find the common denominator of 73\/3*(-3)\/(-2) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 1. Let w be g(2). Suppose z = 2*z + w. Let f(x) = x**2 - 2*x - 2. Is f(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 0)*(0 + 2 - 4)*(-6 - 1 + 2)*(v**3 - 4*v**3 + 2*v**3 + (-1 + 4 - 2)*(2 - 2*v**3 - 2) + v**3 - 8 + 8) to j*v + h + g*v**2 + s*v**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 16, 31, 48?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24795?\nAnswer: 3, 5, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 77432?\nAnswer: 77432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2209 (base 14) in base 7?\nAnswer: -23112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4108\/27? (a) 0 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) 6\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -4\/3, -2975\/13 in descending order.\nAnswer: -1\/3, -4\/3, -2975\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 145607598 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 622, 565, 510, 457, 406?\n\"Answer: f**2 - 60*f + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7242, 14489, 21742, 29001, 36266?\nAnswer: 43537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 31*y - 2*y**3 + 11*y + 6*y**2 + 6*y + 16*y.\nAnswer: -2*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -171 by 3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 3*s**2 + 6*s - 6. Let y be d(4). Suppose -y = i + 2. Let n = 1\/89 - 272\/445. Which is the third biggest value? (a) i (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 685754*o**2. Let q(t) = 33*t**2. Calculate q(r(v)).\nAnswer: 15518532101028*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0) + 240\/50 + -4. Let u = 76 + -71. Which is the nearest to -16? (a) 0.2 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1008 and -43\/420.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) 1\/10 (c) 10 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 589.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25814, -38644, -51474, -64304, -77134?\nAnswer: -89964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/42 - (-4)\/14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 12 = 2*h, -5*h = -554*a + 549*a - 25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 288 = -24*k. Let y(j) = k - 10 + 7 - j + 0 + 0. Let r be (0\/(-3))\/(1*2). What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 6*v - 16. Let m = -188 - -196. Let r be p(m). Solve 3*q + r*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10100 - -20?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*g + 2401 = 0, 0 = 4*g - 9 - 7. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28700 - -30156. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54118\/11 less than -4919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose 6 + a = -3*y. Is (-12)\/36*263*y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(8\/5)\/(b\/b**(-1\/16)))**35 assuming b is positive.\nAnswer: b**(301\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 80?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11941 - -11940.999977577. Round h to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*3)\/(sqrt(99)*-5).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -22281381*c**2 + 3*c. Let g(t) = 4*t. Give y(g(r)).\nAnswer: -356502096*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(-289)\/51 - -19. Let w(c) = -48*c - 2. Let l(x) = -1. Determine y*l(s) - w(s).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640509084 to the nearest integer?\nAnswer: 25308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/1808 and 73\/56.\nAnswer: 12656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 52, 37, 18, 1, -8?\n\"Answer: t**3 - 8*t**2 + 2*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1, -4, -3, 0.54?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*z = -75725 - 24573, 2*z + 66864 = 2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmkmkmmm. What is prob of sequence mkk?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*h - 4237, -46*h + t + 2541 = -43*h. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1216 or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506568922.\nAnswer: 2, 753284461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 + 3 - 3 + (i**4 - i**3 + i**3)*(0*i + i - 3*i) - 23*i**5 - 46*i**4 + 17*i**5 + 20*i**4.\nAnswer: -11*i**5 - 26*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51.12 + -1.\nAnswer: 50.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1359 + -913. Suppose s = 18*z - 17*z. Suppose -3*p = -p - z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 25836 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 272*b - 5423. Give d(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 6 - y**2 + 11*y - 4 + 3. Let w(r) = -5*r - 3. Let j(x) = 3*b(x) + 5*w(x). What is the second derivative of j(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*f - 28 - 0, -14 = 3*q + 5*f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w**2 + 4*w - 38*w**2 - 13*w**2 + 18*w**2 - 7.\nAnswer: -52*w**2 + 4*w - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2.4 (c) 0 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crrcrcrkckr. Give prob of picking 2 c and 2 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = g - 4*q, -3*q - 21 = 3*g - 6. Let x(b) = -4*b - 23. Let z be x(g). What is the highest common divisor of 55 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 104? (a) -0.07 (b) -0.5 (c) 4\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 1\/2*a**4 + 0 - 1\/6*a**3 - 1\/2*a**2 + 2*a. Is y(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8840 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 17280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-28)*((-21)\/6)\/1. Suppose y*w + 242 = 3*s, -s - s - w = -159. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 - 10*l + 2. Let o(b) = b. Let r(g) = -c(g) + 5*o(g). What is the second derivative of r(h) wrt h?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 9 + 4*g + 4 + 6.\nAnswer: 4*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 18*y**2 + 40*y + 3. Determine c(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1731755 is divided by 3520.\nAnswer: 3435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6435 and -592.\nAnswer: -3809520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 3*b = 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -n - 3, -3*b - 2*n - 8 = -4*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - a - 16495 = 0, 33018 = 347*k - 345*k + 5*a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t - 15. Let s(p) = p**2 + p + 50. Calculate -s(g) - 3*w(g).\nAnswer: -g**2 - 4*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 1745*u**2 - 219871*u + 136. Determine n(126).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - 11*l**2 + 3*l - 8*l to v*l**2 + k + x*l and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2299, -4600, -6903, -9208, -11515?\n\"Answer: -s**2 - 2298*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8678 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4 + 109468*r**3 + 297831*r**2 wrt r.\nAnswer: 24*r + 656808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.2 - -7.56. Let m = l + -0.27. Which is the biggest value? (a) -2\/5 (b) 3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 - 33*x**3 - 2*x**3 + 38*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/137 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 246.3 + -246. Let p = -2.9 - -3. Let n(o) = o**3 + 4*o**2 + 4*o + 2. Let u be n(-2). Which is the closest to p? (a) x (b) -1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 1:09 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 5, -22, 1\/65, -2\/23, 2\/9, -2\/19?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1628*t - 2831*t + 1626*t as l + o*t and give o.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.07, -925, -0.77, -0.8, -4?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 15}. Give prob of picking 3 b.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4172, 16958, 38294, 68186, 106640, 153662, 209258, 273434?\nAnswer: 346196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29399234 - 133*o - 29399234.\nAnswer: -133*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 + -140.\nAnswer: -137.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/8 - 5621\/(-44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/120)\/(4*(-5)\/(-60))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 112*y**2 + 40*y - 231. Is x(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g + 101 = -39*g. What are the prime factors of g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 10*g + 16 = 0. Let u be 1*(0 - (-2 - -2)). Suppose -g*d = -3*y, u = -3*d + y - 5. Is -3 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3 + 3)*(-g**3 + 0*g**3 - 2*g**3) - 2*g**4 - g + g - 2*g**3 + (-g**4 - 2*g**4 + 0*g**4)*(2 - 1 - 2) - 3*g**4 + 3*g - 3*g.\nAnswer: g**4 - 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 + 618 = -49*d. Solve -3*n + d*w + 9 = 0, 5*n - 4 = -4*w + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 - 718 = -5*x. What is the highest common divisor of x and 2070?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 3 (c) 1.4 (d) 2 (e) -3999\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853 + 9761.\nAnswer: 10614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:04 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -1\/2*l**2 + 0*l - 18. Calculate o(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + 2*4*(sqrt(1216) + (sqrt(1216)*-1 - sqrt(1216))*-3)**2.\nAnswer: 476666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 - u**2)*(-867 + 7566 - 2901).\nAnswer: -3798*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-91 - -6) + 180 + -147\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 7 + 1)*(-f + f + 12*f + (-2 + 3 + 1)*(-2*f + 5*f - f) + f + 3*f - 2*f) to g + b*f and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17657, -19891, -23615, -28829, -35533, -43727?\n\"Answer: -745*f**2 + f - 16913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11*f**4 - 2*f**2 - f - 18. Let h = 45 - 43. Let w(x) = -x**2 - x - 1. Let y(u) = h*z(u) - 4*w(u). What is the derivative of y(c) wrt c?\nAnswer: -88*c**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6469802 and -360469.\nAnswer: -6830271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001010 (base 2) in base 11?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10*h**2. Let a(l) = l**3 + 5*l**2 - 2*l - 7. Let t be a(-5). Suppose 0 = 4*f - 2*r + 6, -2*f + 0*f - t*r = -1. Give n(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1332238075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 25 - 9. Calculate the remainder when 158 is divided by (23 - 22)*y*9.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-20)\/(-8) + -4. Let h be (4 - 4)\/(-2*n). Suppose h*l - l = -2. Solve l*p - 3 = p, 5*p = -3*u + 24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10645*(-138)\/300 + (-3)\/(-10) a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29964?\nAnswer: 2, 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k + 16 = 0. Let m = -234 + 238. Suppose m*d - 40 = -7*o + 3*o, 26 = 5*o - d. Solve k*t + 2 + o = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i. Let q(a) be the second derivative of 0 - 1\/3*a**4 + 0*a**3 + 0*a**2 + 24*a. Determine q(n(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 243, 540, 955, 1488?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, 24, 23 in ascending order.\nAnswer: -0.13, 23, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-4 + (0 - 0)). Suppose 0 = -z + f*z + 39. List the prime factors of 4\/16 - z\/4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, s: 1, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-1)\/(-2)*4. Let z be (2\/(-2))\/2 - (-779)\/82. Let p be (-12)\/(-6) - z - -11. Solve -j = -l, 3*j + p*l + 7 = -k*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-132)*((-12)\/(-18))\/2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (118\/2655)\/(70\/25). What is the nearest to -1 in y, -3, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 67267*v + 537915. Give o(-8).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 0*z**3 - 2*z + 4*z**2 + z**3 + 1 + 7 - 2*z**3. Let u be g(4). Solve u = 3*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**4 + 52*n**3 + 56*n**2.\nAnswer: -4*n**2*(n - 14)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((-34 - 39) + 41)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 405073, 405025, 404939, 404809, 404629, 404393, 404095?\n\"Answer: -t**3 - 13*t**2 - 2*t + 405089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -120131231113 (base 4) to base 7\nAnswer: -105340132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 986231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o + 27*o - o. Let q(l) = 1. Let m(g) = 3*g - 2. Let p(v) = m(v) + 2*q(v). Let s(r) = 3*b(r) - 21*p(r). Let i(c) = -c. Calculate s(i(z)).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354666834 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -5, 3, -349 in descending order.\nAnswer: 3, 1, -2, -5, -349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/28 - (-5 + 3))\/1\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 183*b - 6. Let m(r) = 61*r - 2. Give 17*m(l) - 6*u(l).\nAnswer: -61*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 648941628*w**3*x**3 + w**3 - 135*w**2*x - 196*w*x**2 - 16*x**2 + 5*x wrt x.\nAnswer: 3893649768*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from eceeeeceeccc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*v - 2, -4 = 2*n - v + 3*v. Let t = n - -3. Suppose g + 155 = 5*h + t*g, 5*h - 140 = -4*g. What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 85 + 151*d as y + a*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 1, g: 2, j: 3}. Give prob of picking 2 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -5 + (1 - -9) - -353 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -91 (c) 1\/7 (d) 8 (e) -7\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = g + 5, 3*u + 4*g = 26. Let h(c) = -49*c**2 + 2156*c + 7. Let q be h(44). Solve -u*b + q = -3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1891 + -502. Calculate the highest common divisor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 - -740. Put -0.2, -3\/7, q in ascending order.\nAnswer: -3\/7, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 31 - 1606?\nAnswer: -15d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3451 (b) 1 (c) -4 (d) 0 (e) -6 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -259. Find the common denominator of (13\/(-5) + 2)\/((-2178)\/o) and -52\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 65, 192, 397, 692, 1089?\n\"Answer: 2*w**3 + 21*w**2 - 16*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 211792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -806, -1626, -2446, -3266, -4086?\n\"Answer: -820*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 286, 11 in descending order.\nAnswer: 286, 11, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 108 = -4*u, u - 2432 = -2*l - 2405 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhhm when four letters picked without replacement from dhmuuumummhmmmdumduu.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**3\/3 + 3*f**2\/2 - f + 1. Let v be w(-4). Let t be (-27)\/(-21) + (-18)\/63. Is v smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8337.\nAnswer: 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8802947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 4:44 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 728 = -47*y. Let w(z) = 3213*z - 228. Let a be w(y). What is a rounded to the nearest 1000?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 divided by 189528?\nAnswer: -47\/189528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**4 + 91*h**3 + 599*h**2 + 929*h + 420 = 0.\nAnswer: -84, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:40 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*j - 38, 0 = -3*m - 5*j + 2 + 20. Suppose 0 = m*b - 4*b + 10. Is -2\/67 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:06 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354921*o**2 - 308 - 354953*o**2 + 308.\nAnswer: -32*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -56 and 0.21?\nAnswer: -11.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 28. Let s be i(-13). Suppose 0 = -3*l + 12, f + 0*f + 3*l = s. What is the common denominator of ((-212)\/2 + f)\/6 and 17\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 0 + 0 + 7. Suppose 0 = h*w - 2*w - 20. Find the third derivative of -x**2 - x**2 + 0*x**w - 2*x**5 wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8456)\/(-10) + 4\/10. Let b be ((-280)\/(-16))\/7 - 1333\/(-86). What is the highest common divisor of b and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2, 2, -2, -10, -22, -38?\n\"Answer: -2*g**2 + 6*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2308886306?\nAnswer: 2, 1154443153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -38, -44, -50, -56?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vj when two letters picked without replacement from vje.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*i - 85*i**3 - 202*i)*(0*i**2 + 5*i**2 - 3*i**2 + (1 - 1 - i)*(-i - i + 0*i)).\nAnswer: -340*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + (6 - 9) + 15. Suppose -w*q + 823 = 103. Calculate the least common multiple of 55 and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 3*w - 0 + 14, -2*h = 2*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 - (-8 + 16 + -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 858731 - -210.3\nAnswer: 858941.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2437930 or -2437925?\nAnswer: -2437925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t = -8. Let o be 10 - (t - 2) - 1. Let s(d) = 6*d - 17. Let y be s(o). Solve 0 = 5*w - 0*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1500 and 5432340?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15354 (base 7) to base 3\nAnswer: 12220100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*l**4 - 1792*l**3 - 5880*l**2 + 3744*l = 0 for l.\nAnswer: -78, -4, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-2 - 270\/(-75))*10. Suppose -w*r + 11*r + 20 = 0. What is the common denominator of 41\/30 and r\/((-64)\/594)*(-1)\/(-3)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 10222000?\nAnswer: 10221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**3 + p**2 + 3*p + 4. What is the tens digit of b(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -384, -1640, -2896, -4152, -5408, -6664?\n\"Answer: -1256*k + 872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2. Let d(x) be the first derivative of 91*x**2\/2 - 44. What is m(d(u))?\nAnswer: -8281*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450773 - 450773 - 10*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 43, 122, 263, 484, 803?\n\"Answer: 3*s**3 + 4*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 4*t + 19*t + 9*t to q + r*t and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w + 20*w + 7*w**2 + (4 - 1 - 2)*(-3 + 2*w**2 + 3) - 21*w - 4 - 7*w**2 - 27*w + 50*w to f*w**2 + b + u*w and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -969*g**4 + 101*g - 6.\nAnswer: -11628*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*m - 860 = 0, 928 = 3*a + 5*m + 290. What is the remainder when a is divided by 113?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18111.38t to kilograms.\nAnswer: 18111380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*d - 3, 3*d - 5*n = 2 + 1. Let c = 5 - d. What is the closest to 0.1 in 0.1, c, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 + 2*d - 10. Let z be f(8). Let o be (-27)\/z*(-2)\/3. Find the second derivative of v**3 - 5*v**o + 2*v**3 + 2*v wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 16*h + 17. Let w be v(-4). Let u = 28 + -24. Suppose u = -3*c + w. Are -2\/103 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140570?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {y: 1, i: 1, u: 3, r: 3, k: 5, s: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474426 at most 1474422?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 2*p = -3*s + 26, 5*p = 4*s - 58. Suppose 2*n - s = -4. Solve 0 = -4*k + 4 + n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6068117 divided by -1\nAnswer: 6068117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*r - 721 - 508 - 157 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -31951, -1, -3 in descending order.\nAnswer: 4, -1, -3, -31951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-19 + -2 - -25) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31385*f**6 - 53*f**3 - 4137*f**2 - 1898*f.\nAnswer: -3766200*f**3 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 157?\nAnswer: -5\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*m + 70. Let c = 8 - m. Let v be (-2 - c)\/(4\/6). Solve 0*j - 3*j = v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + 612802 = -k, -2*o = 2*k + 1225612. Let s = 1449808 + k. What is s rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1106, -4065, -8902, -15629, -24258?\nAnswer: -34801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6507808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4461626 or -22308124\/5?\nAnswer: -22308124\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 49875377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 1595?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2025 and 9225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1600 - -1599.5. Sort -5, -302, -2, x.\nAnswer: -302, -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 3*s - 11. Calculate r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 6*a + 2. Let u be x(-4). Let t be 2*-1*9\/u. Suppose -t*j - 2*i = -143 + 34, 2*j - 4*i = 78. What are the prime factors of j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1388.2087 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11217809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 79743 divided by -19\nAnswer: -4197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**2 - 67*w + 25. What is the thousands digit of j(47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 + -15.17. Let p = j + 14.796. Let c = -0.1 - p. What is c rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*j = -j - 58, -y - 3*j + 56 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 75 = -5*h, 5385*u - 60 = 5379*u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9697 - -9633.31. Let m = a - -63. What is m rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -2\/3, 5.9, 1.2, -13, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 620+-127298\nAnswer: -126678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4096)\/(-22) - -3*2\/(-33). Suppose -i + 328 = -35. Let m = i - t. What are the prime factors of m?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ososo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 9. Suppose h*a = 5*a + 75. Solve 4*n = 5 - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 3*sqrt(720)*-1 - sqrt(720)) + 1.\nAnswer: -36*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -13*i**6\/120 - i**5\/12 - 3*i**2 - 7*i. Let y(z) be the first derivative of o(z). Find the third derivative of y(t) wrt t.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3 + 21*b**2\/2 + 2*b + 46. Is s(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9 + -1. Let s = r + 0.1. Let g(c) = -6*c**2 + 48*c + 58. Let a be g(9). What is the third biggest value in s, -7, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 5:25 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:37 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 12 - 32 - 61 = 0 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15569.3 + -15569. Let i = -0.2 + 0.1. Let p = 12 - 10. Which is the third smallest value? (a) 0 (b) m (c) p (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -t**4 - 11724*t**3 - 34339588*t**2 + 137499072*t - 137545984 = 0?\nAnswer: -5864, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**3 - 26*v**2 - 26*v - 6. Give a(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -35, 1, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 1001?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5))**(1\/24)*(((x*x**10)\/x)\/x)\/(x*x**(1\/10)) assuming x is positive.\nAnswer: x**(473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1198630, -1198640, -1198664, -1198708, -1198778, -1198880?\n\"Answer: -s**3 - s**2 - 1198628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -53937.014 to the nearest 10.\nAnswer: -53940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880 is divided by 1321.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 2*a**5 - 135*a + 41*a**5 + a**5 wrt a.\nAnswer: 880*a**3 + 24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c (base 13) in base 15?\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1378, 2675, 3986, 5317, 6674, 8063, 9490?\nAnswer: 10961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1950, -7985, -18038, -32109, -50198, -72305?\n\"Answer: -2009*s**2 - 8*s + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 688230 and 275292.\nAnswer: 1376460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035778 rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 + 3 + -3 + -1. Suppose 32 = 2*l - 0*z + 2*z, -2*l = z - 28. Suppose -5*d + 8 = -l. Solve 2 = -d*m - x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20406506 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g. Let j(o) = -578*o**2 + 296*o**2 + 288*o**2. Calculate c(j(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(4\/((-6)\/3)). Suppose -k + 40 = -3*a - 2*k, z = -a - 3*k. Calculate the common denominator of -99\/2 and (-15)\/12*170\/a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3447*c**6 + 3086*c**2 wrt c.\nAnswer: 413640*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v - 3. Let g(a) = 8*a + 4. Let x(q) = g(q) + 2*m(q). Let i(b) = 8*b**2 + 2*b + 1. Let l be i(-1). Let p(c) = 7*c - 2*c - l*c. Determine p(x(w)).\nAnswer: 8*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 9*v**4\/4 - 19*v**3\/3 - 18. Find the third derivative of x(c) wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 5*u = h + 17, 4*h + 2*u - 18 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or 33661?\nAnswer: 33661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -174 - -38b955?\nAnswer: 38b7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -762 + 787. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58030 times 1164?\nAnswer: -67546920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-45) - 4\/(-10). Let g(j) = 21 - 21 - b*j. Let h(f) = -4*f. What is g(h(c))?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55778 = -74*k + 56814 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*c*f**2*z - 2*c*f**2 - 2*c*f*z - 2*c*z - 2*c + 2635*f**2*z + 3*f**2 + 21*f*z - 12554*z wrt f?\nAnswer: -18*c*z - 4*c + 5270*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (4 - (-1 - -9 - 4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.855 - -0.145. Let o = 1 + -3. Which is the closest to 0? (a) o (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -29*f + 17. Is a(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3877055705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/((-55)\/35) + 2 + -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41283 and 49896?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 6*j**2 - 4. Let p(u) = -5*u**2 + 3. Determine -3*b(c) - 4*p(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25009 or 0?\nAnswer: -2\/25009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/30*(-60)\/24?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 6*d**2 + 3*d - 1. What is the units digit of l(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 16 = a, 2*w - 11*a = -14*a + 7. Solve -25 + w = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -762 by 1.\nAnswer: -762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 1:32 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -765869 divided by -13?\nAnswer: 58913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 218, 352, 486, 620?\nAnswer: 754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 2274*j + 117507777.\nAnswer: -3*(j - 6649)*(j + 5891)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 504\/589?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + 8. Let x = -90 + r. Suppose -3*h = h + 12. Which is the second biggest value? (a) x (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8574 by 3.\nAnswer: -2858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 6*p + 1. Calculate i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - (0 - (-42)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqy when three letters picked without replacement from qhqoqqqjhwhohhwqwyho.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 e when four letters picked without replacement from eveeveememev.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**2 + 15*w**2 + 10*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 14 + -19 + 30.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 132*m - 35032. Determine y(265).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 80801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by 646.\nAnswer: -63\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1523 divided by -24\nAnswer: 1523\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 381 + -64. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 7*j**2 - 2*j + 5. Let b be (2 + (-46)\/(-4))*2. Suppose z - b = -3*o, 2 = -4*o + 5*z + 19. Is t(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -d**3\/6 - 5*d**2. Let p(h) = 2*h - 6. Let s = 13 - 8. Let m(y) = s*c(y) - p(y). What is the derivative of m(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*y**2 - 204.\nAnswer: 100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*m - 61 + 303*m - 19 - 167*m.\nAnswer: m - 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j*((j*j**(-2\/19)\/j)\/j*j)\/j)\/j)**(-27\/4) assuming j is positive.\nAnswer: j**(-459\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alaj when four letters picked without replacement from {l: 3, a: 3, j: 1, d: 5}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004*b - 18 = 1998*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/363 and (-488)\/6*((-8)\/11 - 444\/(-592)).\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**7*r\/(r*(r\/(r\/(r\/(r*r\/(r*(r*r**(-9))\/r*r)))*r))\/r*r))**50 assuming r is positive.\nAnswer: r**800","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let s(v) = -4*v**2 - 15*v - 7393. Determine s(n(l)).\nAnswer: -4*l**4 - 15*l**2 - 7393","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-9)*(-18)\/4. Let v = 9 + m. Suppose -v*c = -4*j + 108, -3*c + 0*c = -5*j + 138. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 80 = 2*w, -209 = -5*w - 7*j + 6*j. What is the highest common divisor of 114 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8754176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -25. Is v < -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 251 + 218 - 4*g**2 - g**3 - 470 - 4*g. Give p(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319987.\nAnswer: 433, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 173 = -4*i, 4*i - 3*n + 133 = -0*n. Let x = 64 + i. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 1695, -1.1, 2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -435.95 + -0.1.\nAnswer: -436.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272235952 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 - -22. Let u(n) = -4*n - j - n**2 + 6 + 1 - 2. What is u(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*o + 17, -2*g + 4*o + 1 = -3. Put -0.4, g, 0.4, -14, 20 in ascending order.\nAnswer: -14, -0.4, 0.4, g, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*w**3 + 41*w**3 + 3*w - 2*w + 2*w**3 + w**2 - w**2 + 0*w**3 + 2*w**3 - 4*w**3 + (-w**3 - 2*w**3 + w**3)*(-3 + 0 + 4).\nAnswer: 102*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-3)*d*d\/(d\/(d*(d\/(d*d\/(d\/(d**(-2)*d))*d))\/d*d)))\/(d*d**(-2)*d*(d*d**(-6\/7)*d)\/d)*(d*d**(1\/3)*d\/d**(-5))**(-13\/4) assuming d is positive.\nAnswer: d**(-671\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - v**2 + 3. Let w be c(0). Let p be (w\/(-2))\/((-4)\/8). Suppose 3*d + 0*d = p*y - 81, 4*y = -d + 83. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51*u**2 + 7*u**2 + 1389*u**2)*(-5*u + 2*u - u) to the form b*u**2 + n*u**3 + m*u + c and give n.\nAnswer: -5788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 8*d**2 + 10*d - 7. Let r be i(7). Suppose r = 4*v - 2*o, 1 = -4*v - 3*o - 10. Solve 2*m - v + 14 = -3*q, -18 = -2*q + 4*m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1110194 is divided by 332?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 0.3 (c) 11 (d) -2\/1293 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}