diff --git "a/data/dm_maths/full_data_1/10970_11255.jsonl" "b/data/dm_maths/full_data_1/10970_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10970_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-8*i - 9*i + 9*i)*(3*i - 9 + 9)*(-1 - 4 + 1) + (0*i + i + 0*i)*(-4*i + 2*i + 4*i) + 2*i**2 - i**2 + 0*i**2.\nAnswer: 99*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 4*v - 31 = 0, -2*v - 110 = 5*s - 17*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/9 (b) -173 (c) -2\/11 (d) 6\/97\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 - 17\/(-2). Suppose -4 = -3*m - 3*w + r, 3*m - 5*w - 36 = 0. Solve 0 = -3*q - 5*y, 2*q - 4*y = 29 - m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -20*u - 4. Let c be t(-3). Suppose -3*n - 45 = p - 0*p, 3*n - 3*p + 33 = 0. Let y = n + c. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 4*k. Suppose 5*m - 7 = k. Suppose -m*r + 35 + 7 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k + 20. Let o be q(-3). Solve 3*h + 8 = -g, 5*g - o*h - 12 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yddjsvxjx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1*(-1)\/4). Let x(f) = f**3 + 5*f**2 + 5*f. Let o be x(y). Let j = 3609 - 3604. Which is the smallest value? (a) o (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7078 + 34*u + 60*u - 3605 + 21*u - 3473.\nAnswer: 115*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4555188 seconds in days?\nAnswer: 0.000109438875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006545 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-630)*10\/12\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008485 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k - k**2 + 3*k**3 - 4 - 2 - 4 + 4. Let r be y(2). What is the greatest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1673394551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2363 + -18901\/8. Factor 0 - p*a**3 - 1\/8*a**5 + 3\/8*a**4 + 1\/8*a**2 + 0*a.\nAnswer: -a**2*(a - 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 8453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.9, 2\/17, 5, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.25 and -5.963?\nAnswer: 5.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -205. Suppose 0 = a - 11 - z. Let l be 112\/21*(0 + 3\/2). What is the highest common divisor of l and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 = -5*g - 63. What is the hundreds digit of (1056\/110)\/(-1 - 56\/g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 401 - 855. Let c = 459 + q. Sort -14, 0, c.\nAnswer: -14, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61d - 181?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/15166982 and 12\/11?\nAnswer: 166836802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 20165830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25833 + 1240097\/48. Calculate the common denominator of a and (-6 - (-3 - -1)) + (-16)\/((-10752)\/3832).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/282, -4 in descending order.\nAnswer: 9, 1\/282, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 9 = 24. Let w be 1 + 2 + 5 + y. Is w*((-762)\/9)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 6 (c) -0.01 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.12951 hours to milliseconds.\nAnswer: 169666236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261729?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 141, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 times 1?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 252. Let q be x(0). Calculate the common denominator of -6*(-256)\/q - 5 and 32\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 200.977 and 0.07.\nAnswer: 201.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 16. What is the units digit of u(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 6*s**2 - 4*s - 2. Give l(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - h - 4)*(-3 + 2 + 0) + 234 - 2417*h - 234 - 19852*h - 2496*h.\nAnswer: -24764*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52164 and 1323378?\nAnswer: 60875388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 46 = -96 + 34. Solve -3*g + u*g - 45 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906239.\nAnswer: 3, 635413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/15)\/y)\/y)\/y**(1\/24)*y**(-2\/9)*y**6 assuming y is positive.\nAnswer: y**(1393\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*r + 7*r + 2*y - 10, -45*r - 8*y = -46*r + 30 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 = -0. Which is the closest to 0? (a) z (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3449286, -3449288, -3449290?\nAnswer: -3449292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/110 - 2\/(-11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*f = -24, z + 2 = -f + 10. Let x be 24\/30 + (-6)\/(-840)*z. Let h be 1 + 6\/16*-3. Which is the nearest to -2\/7? (a) h (b) x (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 34*c + 56. Determine x(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2\/9 (c) -2\/7 (d) -0.2 (e) -2\/19 (f) -4 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132301 (base 5) to base 4.\nAnswer: 20323200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 52, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46277189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/(-10) + 1\/5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/6)\/((-5)\/(5\/2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3471, -3466, -3449, -3414, -3355, -3266?\n\"Answer: t**3 - 2*t - 3470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1759, -1780, -1815, -1864, -1927?\nAnswer: -2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Suppose -z*r = -4*r. Let i(p) = p**3 - 22*p**2 + 122*p - 15. Let s be i(10). Solve 0 = 4*q + 12, -g + s*q + 17 = -r*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199082*p*s**2*x - 210*p*s**2 - 18*p - s**3*x + 5*s**3 + 2*s**2 + s*x - 4*s - 2*x wrt x.\nAnswer: 199082*p*s**2 - s**3 + s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77177*h**2*j + 20*h**2 + 14*h - j**2 - 240 wrt j?\nAnswer: -77177*h**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, r: 1, w: 2, f: 2, k: 6}. Give prob of picking 1 r, 1 k, and 2 f.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.95 + -1. Let o = 108051 + -324151\/3. Let h = 5 + -3. Which is the fourth biggest value? (a) h (b) o (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -16, -9, 18, 71, 156, 279?\n\"Answer: s**3 + s**2 - 17*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u**2 + 2*u - 1. Let y be c(1). Let n(b) = b**2 + 2*b - 4. Let i be n(2). What are the prime factors of (-34)\/(-3) + i\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3679099 is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1877026724?\nAnswer: 2, 37, 12682613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-35)\/15)*(2315 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 13. What is the closest to -1 in 1\/2, l, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357 - -356.977. Let f = v + -0.377. What is the fourth biggest value in 1\/4, f, -1\/4, 0.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/34 - (-4 - (-245)\/(-85)). Put 5, g, -1 in decreasing order.\nAnswer: g, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 88. What is the remainder when d is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0167486677 to five decimal places.\nAnswer: 0.01675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3 (c) -2550 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i + 6*i)*(0*i**3 + 0*i**3 - i**3) + (4*i**3 - 3*i**3 - 3*i**3)*(3*i - 4*i + 2*i) + i**4 - 8 + 8.\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - -14. Let p(i) = -9*i - 11. What is the remainder when d is divided by p(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/28744 and 1\/4239740?\nAnswer: 8479480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 266 - 34*w**2 - 16*w**2 + 51*w**2 + w + (4*w**2 - w**2 - 5*w**2)*(0 - 2 + 7).\nAnswer: -9*w**2 + 266","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-225)\/675)\/(((-2)\/(-108))\/((-4)\/(-8))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69109618 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.87922um in millimeters?\nAnswer: 0.09687922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**5\/60 + 3*u**2. Let z(p) be the second derivative of -p**4\/2 - p. Calculate g(z(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(152) + sqrt(152) + 1*sqrt(152)))\/((sqrt(64)*3)\/sqrt(8)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -2, -21\/19, 1?\nAnswer: -21\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 413*q**3*y**2 + 30*q**3 + 39*q**2 + q*y**2 - q*y + 3*y**3 wrt y?\nAnswer: 826*q**3 + 2*q + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = 0. Let x(g) be the second derivative of 0*g**4 + g - 1\/10*g**5 + 0*g**3 + c - g**2. What is the first derivative of x(i) wrt i?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.024852*1.3\nAnswer: -0.0323076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + ((-110)\/30)\/((-1)\/18)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1012\/990)\/(42\/945).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2566\/3 + -855. Let k(t) be the first derivative of -l*t**3 + 4\/3*t + 0*t**2 + 3 - 1\/12*t**4. Factor k(q).\nAnswer: -(q - 1)*(q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k + 692 = 669 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111001 + -203601. What is k rounded to the nearest one thousand?\nAnswer: -93000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 + 5)*(-24)\/2. Let z be (15\/t)\/(1\/4). Solve -c - 2 = -q, -c + 14 = z*q + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/(-49) + 89\/(-175). Let r = -4 - -6. What is the third biggest value in r, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15\/6)\/(0 - 2\/(-4)). Suppose n*d - 4 - 21 = 0. Solve -d*u + u = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 18 = 4*h, 0 = -0*h + 4*h - 12. Let m(v) = -v**2 - 7*v + 5. Let l be m(b). Let c = 25 - l. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 710 - 399. Suppose 3*r = 136 + d. Is 15 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17510415, -17510367, -17510287, -17510175?\n\"Answer: 16*g**2 - 17510431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 12*n - 32. Let c be b(5). Find the second derivative of 10*a**3 - 68*a**3 - 1 - 171*a**c + 166*a wrt a.\nAnswer: -1374*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3661, -7300, -10913, -14494, -18037?\nAnswer: -21536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32006 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 + 13*o**2 - 17*o + 81. What is the remainder when z(-14) is divided by 34?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 713305 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6324 - 6349297\/1004. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -19. Let r(q) be the first derivative of -q**3\/3 - 9*q**2\/2 + 3*q - 2. Is r(i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(8)*-2))\/(sqrt(720)\/sqrt(9) + sqrt(5)) - (5 + (sqrt(704) - (sqrt(704)*-4*-1)**2) + sqrt(704)).\nAnswer: -161*sqrt(11)\/10 + 11259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/20 + 4 - (-386)\/10. Suppose 33 = 2*i + 4*c - 43, -c - 71 = -2*i. What is the first derivative of r*x**4 + 28 - 25 + i wrt x?\nAnswer: 156*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2. Let c(k) = 40757*k. Determine c(j(q)).\nAnswer: 122271*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 0.1. Let t = 40 - 35. Let h = t + -14\/3. Which is smaller: h or b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79546486 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/400 and 91\/8.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20692210 * -0.2.\nAnswer: -4138442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 17*j - 49. Suppose -5*a + 5*x - x = -125, -4*x = -a + 41. Let t be k(a). Suppose -4*w = -5*y + w + t, -14 = -3*y - 4*w. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8449128 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let i(q) = 2354*q**2 + q - 2. Determine h(i(u)).\nAnswer: 2354*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 16 = -2*g, 11*s + 5*g - 14 = 12*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n. Let t(f) = -1405*f. Calculate t(b(l)).\nAnswer: 5620*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 556, 558?\nAnswer: 560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 84675.32g in tonnes?\nAnswer: 0.08467532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**8\/n**(-4\/9)*n**(-10)\/(n\/(n**(2\/15)\/n)) assuming n is positive.\nAnswer: n**(-154\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*l - 50, -l - 3*a = 3*l - 66. Let j(b) = -b**2 + 16*b - 15. Let p be j(l). Solve p = -2*d + 5*i - 13, -4*d + 3*i - 31 = -12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153436509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -41. Suppose 2*u - 4 + 2 = 0. Let p be 91 + (u - (1 - 0)). What is the greatest common factor of p and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*q**2 - 39*q**2 - 43*q**2 + 105*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 5*z**2 + 2*z - 4. Let d be q(-4). Let w = d - -241. Let k = w - 46. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29664 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 161642623?\nAnswer: -161642624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*s - 247*s - 210*s - 213*s - 218*s + 1103*s - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110352815 to the nearest integer?\nAnswer: 33322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i + 231 = 22*i. Is 32 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 (base 13) in base 3?\nAnswer: -201112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -122213*c**3*n**2*y**2 + 130*c**3*n*y**3 + c*n + 2580*c*y**3 - 292*n**2*y**3 - 2*n*y**3 wrt n?\nAnswer: -244426*c**3*y**2 - 584*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4367 = 6*w + 6984 + 25289. What is w rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 134. Suppose -3*u + p = 3*d - 13, -4*d - 35 = -3*u. What is n in -9*n + 18*n + 4*n**2 + 0*n**2 - u*n + 4 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36*y**2. Let o(a) = -a**2 + 26. What is l(o(k))?\nAnswer: -36*k**4 + 1872*k**2 - 24336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 189409985 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((13 + -8)\/(-55)). Suppose -s*f = -6576 - 8010. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17776 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3596*o - 1182*o - 1224*o - 1189*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.0615, 2\/5, 1, 3\/10 in descending order.\nAnswer: 1, 2\/5, 3\/10, -0.0615, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(-5) + 4584\/60 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24255635492 and -0.3.\nAnswer: 24255635491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 5*m**2 - 7*m + 4. Let a be r(-6). Let p = 8 - a. Let l(j) = 9*j**2 + 3*j + 1. What is the remainder when l(p) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114012302033 - -4?\nAnswer: -114012302024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336053 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 475783*l*x**2 - 90*l*x + 2*l - 112181411*x**2 wrt l.\nAnswer: 475783*x**2 - 90*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*i - 36. Let y be (-5)\/((-40)\/i)*-20. Let q = y - 10. Solve w + 7 = -4*o, -q*o - w + 1 - 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7269916.\nAnswer: 2, 293, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354 is divided by 98?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4, -f - 2*f + 14 = -2*q. Let u(m) = 2*m**2 - 4*m + 7. Calculate the lowest common multiple of u(4) and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8*m**3 - 3*m**2 + 5. Let u(w) = -4*w**3 + 2*w**2 - 3. What is 3*t(f) + 5*u(f)?\nAnswer: 4*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(78\/(-4)) + 0. Let x(k) = -k + 5. Let f be x(-6). Suppose 3*g + g - 16 = 3*b, -g - 3*b = f. Are g and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -7, 3\/4, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -2483, -5534, -9791, -15254?\nAnswer: -21923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.3 (b) -0.5 (c) 3 (d) -112 (e) 0 (f) 0.02 (g) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 3, l: 3, p: 7}. What is prob of sequence lm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 711 and 198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/21 - 17646*q**2\/7 + 116759170*q\/7 + 350330450\/21.\nAnswer: 2*(q - 13235)**2*(q + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -9*n**2. Suppose 5*l + a - 27 = 0, -21 = -l - 2*l + a. Let i be -2 + 5 - (l - 5). Let k(f) = -3*f - i*f + 2*f + 5*f. Determine k(h(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -90872*s + 21. Give y(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 24894.\nAnswer: 49788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, y: 1, u: 1, b: 2}. What is prob of picking 1 a, 2 y, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.3 (c) -3\/5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11c854 (base 14) to base 16\nAnswer: -951fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ausaaua. What is prob of picking 1 u and 1 a?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 1396171?\nAnswer: 1396171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-c + 4*c - 4*c)*(3 + 2 - 2) + 1 + 4*c - 1)*(-11*c**3 + 23*c**3 + 2 - 10*c**3 - 5*c**4).\nAnswer: -5*c**5 + 2*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1405 - 50?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n = 3*n + 3*d, -5*d = 2*n - 14 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 172. Let q = 16438958562.99999929 - 16438958643. Let t = p + q. What is t rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 4670\/5709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-66)\/(-15))\/(1\/5). Let p = -13 + l. Let z = 16 - 7. Calculate the highest common divisor of z and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107 - 107 + 25*r - 28*r**2 wrt r.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a - 3. Let f be q(-3). Solve 6*u + f + 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1534 and 18458.\nAnswer: 14157286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:16 PM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -25068*q + 2118. List the prime factors of c(-2).\nAnswer: 2, 3, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 58421 or 58422?\nAnswer: 58422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 19. Suppose -2*z + f - 2 = 0. Solve -i = z*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/80 and (-59)\/((-504)\/(-64) + (-3)\/(-24))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11132 + 2304?\nAnswer: -4424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 26. Let a(g) = 2*g - 1. Let s = 13 - 5. What is the remainder when a(q) is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = 3*a. Suppose 0 = -w + a - 0. Let q be (-3)\/w + 19\/36. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 25 = 3*o, 4*o - 5*g = -16 - 29 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = -2*h, -5*x + x = 3*h - 55. Let u be 3*((-3)\/12 - 767\/52). Let n be (612\/u + 14)\/(1\/10). Solve 4*l + 8 = -4*c, l = n*c - l - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -3\/2, -2\/19, 7\/9?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/3 (b) 8 (c) 2\/3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51086308*b**2 - 3*b + 20164706.\nAnswer: -102172616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 65417 divided by 1\nAnswer: 65417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.16 + -0.56. Let t = p + -1.1. Put 0, -0.7, t in descending order.\nAnswer: 0, t, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 98*l**2 + 11. Let t(j) = -7*j**2 - j + 2. Calculate -q(r) + t(r).\nAnswer: -105*r**2 - r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445246903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (2 - -2)) + (1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -18 + -8 - 324\/(-135)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.1 (c) 210\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 288, -14, -52, -3, -2, 2 in decreasing order.\nAnswer: 288, 2, -2, -3, -14, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 242726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 43100104 (base 5) in base 2?\nAnswer: 1011000100000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -48, -56 in descending order.\nAnswer: 3, -5, -48, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*q - 222, q - 43 = -a + 16. What is the highest common factor of a and 1767?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*n = -5959 + 6328. Factor -28\/3*p**2 - 2\/3*p**n - 32\/3 + 62\/3*p.\nAnswer: -2*(p - 1)**2*(p + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*((-40)\/3)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*q = -55*q + 44*q + 14750. Let y = 1 + -4. Let t be (-1)\/y + (-377)\/(-3). Which is smaller: t or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 h when three letters picked without replacement from imwthxhm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p + 2*p + 2*p)*(-51*p + 43*p**2 + 51*p) in the form l*p**3 + y + u*p + b*p**2 and give l.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.03 take away 1?\nAnswer: 112.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 13 + 20*q**2 + 6 + 10*q**2.\nAnswer: 30*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 1307, 1873?\nAnswer: 2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v - 22*v - 32*v = 62 + 146 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:50 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -126*m - 273, 4*m = z - 14 - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 101102 (base 3) to base 7\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77470737?\nAnswer: 3, 101, 255679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34580 and 1612?\nAnswer: 1071980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 1266800?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 12*b**2 - 30*b + 13. Let m be z(-8). Let n = -4 + 3. What is the nearest to m in -3\/4, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/6 - 19*w**2 + 896*w\/3.\nAnswer: -w*(w - 14)*(w + 128)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4595766.69999998 - -4595767. Let f = 4 - 4.3. Let l = u + f. Round l to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -478 times 1\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 6:27 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/34*(-1309)\/(-3388).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 22*b + 29. Let k(q) be the third derivative of q**5\/60 + 11*q**4\/24 + q**3 - 2*q**2. Calculate the remainder when o(22) is divided by k(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 48087 and 48053 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -2873?\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 = 13. What is the second derivative of -2*g**3 - 7*g + 2*g**3 - 15*g + 4*g**o wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.41847 rounded to 1 dp?\nAnswer: -123.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from {v: 1, e: 5, a: 1, r: 9, l: 1}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l - 144. Let r be k(-24). Let w(u) = 8*u + 8. Let m be w(8). What is the highest common factor of m and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1819*u - 7293*u + 1826*u + 1822*u + 1825*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3. Let g = 615 - 615. Give y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919321.1 rounded to the nearest 10000?\nAnswer: 1920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 40. What is m(17)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2026862580 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1430*s**3*v**4 + 5*s**3*v**2 - 961*s**3*v + 2*s**2*v**4 wrt v.\nAnswer: -34320*s**3*v + 48*s**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1065 - 1060. Put -5, z, 4, 6 in ascending order.\nAnswer: -5, 4, z, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -56\nAnswer: -113\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -21*q + 9. Let b be 2\/(-11) + (1412\/22 - 2). Suppose b = -5*k - 8. Is c(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3456057?\nAnswer: -4\/3456057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 8. Let p be a(-6). Let n(h) = 10*h**3 + 2*h**2 + 2*h - 3. Is n(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 46*r - 204.\nAnswer: -2*(r - 17)*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - 3*a - 6. Let u be p(-3). Suppose 0 = 5*m + u - 190. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*r + 7*r - 2*r)*(-6*r**3 - 4*r**3 - 7*r**3) + 2079*r**4 - 651*r**4 - 1012*r**4 to the form p*r**4 + z*r**2 + x + v*r**3 + h*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.0615, -1 in descending order.\nAnswer: 3, 0.0615, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 2:01 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -579.4 - -581.4. Put 0.1, -4, d, -1\/6, -3\/8 in increasing order.\nAnswer: -4, -3\/8, -1\/6, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64033.32377 rounded to the nearest one hundred?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d + 5*w + 43, 2*d = 4*w - 114. Let a = -37 - d. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -1.3 (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/18 in -116.8, -6, -3, -0.5, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15563.1 - -15564. Which is the nearest to -0.1? (a) l (b) 7\/3 (c) 2\/9 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*j + 21, 2*j - 7*j + 15 = 0. Let t be (1 + 1 + x)*-38. Let i = 60 - t. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-35))\/(5\/((-75)\/24))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (77\/231)\/(2\/220386) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841051.\nAnswer: 823, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from ukkkkkkkkkukkkkkkkkk?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - 3*i + 7*i)*((-1 + 2 - 3)*(1 + 1 - 5) - 3 + 0 + 2)*(-1 + 4 - 2) + (-8 + 0 + 3)*(-55*i + 112*i - 62*i) as m*i + v and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 13 - 5 - (4 + 0 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 4*v - 199, 43 = -6*n + 5*v + 1275. Which is greater: n or 205?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 - 2*q**2 + 4*q + 1. Let u be x(-3). Let f = -185 + 190. Solve 0*m + 2*i = m + f, -5*m = 4*i + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243 + -141. Suppose -3*u + j = -9. List the prime factors of u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**3 - 83*g**2 - 27*g - 9. List the prime factors of p(31).\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -98\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12871 is divided by 36.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7*g**2 + 32*g - 6. Determine s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/771912 and -7\/72?\nAnswer: 771912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 415583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 469, 722, 987, 1264, 1553, 1854?\nAnswer: 2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125908, 251816, 377724?\nAnswer: 503632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, q: 4, k: 4, o: 4}. Give prob of sequence ko.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 17*w + 32. Calculate k(-10).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 2, c: 3, n: 1}. What is prob of picking 1 c, 1 n, and 1 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -7. Let f = x + -3. Suppose -3*u = -7*u + 56. Solve -2*y + u = f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*d = -343 + 1347 + 306 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.5 (c) 10\/11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p + 172. Calculate the remainder when d(26) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75 * -853.93.\nAnswer: 64044.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 0 (b) 2\/3 (c) 1 (d) -76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 324678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40065 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 20. Let q(l) be the second derivative of l**5\/20 + 3*l**4\/4 + 7*l**3\/6 - 3*l**2\/2 + 2*l. What is the units digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.765207 months to years.\nAnswer: 2.31376725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2 - 11390*j - 34161 = 0. Calculate j.\nAnswer: -11387, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)\/w**(1\/12)*w**0\/w**(1\/8))**(-1\/6) assuming w is positive.\nAnswer: w**(221\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-59949)\/12 + 5\/(-20). Let q = -79907\/16 - l. What is the common denominator of -127\/12 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1227*o**2 - 102469*o + 102469*o)*(-1 + 1 - 4*o) to the form i + b*o + u*o**2 + c*o**3 and give c.\nAnswer: -4908","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 + 305*u + 1300.\nAnswer: -5*(u - 65)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 8*l + 5. Let o be q(8). Suppose 10*b - 55 = -o. Suppose -b*j - 325 = -5*s, -3*j + j + 114 = 2*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -26*f**2 + 2*f - 2. Let g be i(3). Calculate the common denominator of 5 + -6 + g\/36 + 1 and 121\/6 + (0 - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (-248)\/(-18) + 3*(-8)\/(-108).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10858 bigger than -163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6043?\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -121 - -187. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2685*m - 147497. Calculate f(55).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 - -89. Let k = 35.06 - m. Let d = k + -0.0599976. What is d rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -1. Let m = p + 0.2. Let f = 265\/538 + 2\/269. Which is the closest to 0? (a) m (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y + 3. Suppose -y*m + 22 = 3*l - 134, -m + 3*l = -24. Suppose -7*n + m = -n. Let o(t) = t. Let z(h) = 8*h. Give n*z(j) - 35*o(j).\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8771965351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 459551590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 23 + 258 = 0. Suppose 4*o + 3*b = 314, 190 - 577 = -5*o - b. Let f = o + s. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57662939*g**2 - 303*g - 87734 wrt g.\nAnswer: -115325878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f. Suppose 0 = 5*b - 70 - 10. Let m be b\/(-28)*3 - f. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**3 + 18*o**2 + 72*o - 141. Let d be k(27). What is d rounded to the nearest 1000?\nAnswer: 113000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -5 + (9 - 54 - (19 + 0)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18\/(-3))\/((-2)\/11). Suppose -5*f + 6*o = 3*o - 24, -f + o + 6 = 0. Calculate the highest common factor of r and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477 is divided by 734.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75*(-225)\/1875 + 0 + (1 - -32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520 = 101*c + 217 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(1*sqrt(624)*6)\/(sqrt(108)\/sqrt(9)*2))**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 21*v**2\/2 + 4*v + 3. Let d(l) = -5*l - 130 + 263 - 134. Calculate 9*d(c) + 2*q(c).\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 699165492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -47*h**2 - 3653*h - 128. Determine l(-78).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + p + 2*p)*(2*p**2 - 6*p**2 + p**2).\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 157 = 11*n. Let c be -1 + (1 - (-1 - 1)). Solve c*a - a = n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 - 2*k**2 - k + 2*k**4 + 3*k**2 + 0*k**2 + 2 to c*k**4 + s*k + d*k**3 + p*k**2 + h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.46, 0.01, -363572?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 9*f**2 + 12*f - 11. Let c(u) = 4*u - 2. Suppose r - 2*r = -q, -q - 4*r + 15 = 0. Let k be c(q). Is y(k) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z. Let x be n(-2). Suppose -p - 5*y + 41 = 0, -2*p + 2*y = -3*y - 7. Let o = 111\/7 - p. Sort -0.2, o, x.\nAnswer: x, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1)*(4 - 6 - -1). Let b be 52\/39*w\/10. What is the second biggest value in 6\/7, -5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 2*(-1)\/2. Suppose -g + 8 + y = 0. What is the third derivative of 0*x**2 + g*x**2 - 11*x**6 - 3*x**2 wrt x?\nAnswer: -1320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-352)\/(-44)*2\/(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 - 13*y**3 + 25*y**3 + 2*y**3 - 11*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*a - a - 66, a + 2*l = 37. Let z be -11 + 0 + 3 + -2. Let s = a + z. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 277*h - 826. Let d be g(3). Let z(q) = 8*q**2 + 43*q - 18. Let m(u) = 3*u**2 + 15*u - 6. Let o(y) = 11*m(y) - 4*z(y). Determine o(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*p + 27993 = 7973 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - (-3 + 2) - -5. Let h(t) = 12*t**2 + 0*t**n + 10*t**3 - 12*t**2 - 9. Let i(d) = d**3 - 1. Let p(k) = -k - 5. Let w be p(-3). Give w*h(v) + 18*i(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2514 and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3*4.3\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -15. Let v = 1048 - 1033. Is v equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 911301 + -1923637\/2. Let g = 51930 + m. Let t = -1374 + g. Find the common denominator of 69\/10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9623, 9735, 9847, 9959?\n\"Answer: 112*p + 9511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12834*k**3 - 5460 with respect to k.\nAnswer: 38502*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 9*c + c)*(-c + 0*c + 2*c) + 152*c**2 + 14*c**2 + 191*c**2.\nAnswer: 353*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswbhwhwhwwbwwwwsb. Give prob of picking 1 h and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2486 and 12317.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004000888371 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 0*x - 12\/5*x**2 - 23 + 8\/15*x**6 + 0*x**5 + 20\/3*x**3 - 27\/5*x**4. Suppose u(d) = 0. Calculate d.\nAnswer: -3, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 - 14*k**2)*(-k + 5*k - 2*k)*(-7*k**2 - k**2 + 2*k**2).\nAnswer: 192*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 176260258 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 9. Let z(h) = h - 2. Let b(t) = 2*x(t) + 9*z(t). Suppose 8 = 2*a + 5*n, -4 = -a - 4*n + 6*n. Let r(v) = -a*v + v + 5*v. Give b(r(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-eight thirds of a week in hours?\nAnswer: 1568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 24*f + 91. Calculate p(-13).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -249178232.7 to the nearest one hundred thousand.\nAnswer: -249200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096.42 rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8014474 weeks to nanoseconds.\nAnswer: 484715387520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 3984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -74, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.03, 0.454551, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Convert -4693 (base 10) to base 8.\nAnswer: -11125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653, -5229, -17653, -41849, -81741, -141253?\nAnswer: -224309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1097277*h**3 - 917168?\nAnswer: -3291831*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 3*h**3 - 12*h + 24*h**2 + 12*h + h**3 to a*h**3 + k + t*h + w*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 9) to base 2\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 45*y - 41*y + 4, 2*y + 4*i = -8. Let s(o) = o**3 + 20*o**2 + 34*o - 37. Let a be s(-18). Sort a, y, -31 in decreasing order.\nAnswer: y, a, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1 - 3 - 3 - 2*b**2 wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 82. Suppose r = 2*l + 2*h - 432, -l + 83 = 2*h - 138. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28166656 divided by -30352\nAnswer: -928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 4*x**2 - 5*x + 5. Give c(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 93181.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476190 and 2171.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - 0.3. Let w(p) = -p**2 - p - 2. Let j be w(0). Let m(l) = -l**2 - l + 2. Let g be m(j). Which is the closest to g? (a) 0 (b) u (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/5)\/4 + 8. Suppose -2*d + 3*t = -33, -d - 4*t + o = -4. Suppose 0 = x + p - 3, p = 4*x - 2*x - d. Solve -3*n + x*n = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13769 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4780 - -6839. List the prime factors of y.\nAnswer: 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2443 and 728.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 258827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) -2\/3 (c) -1\/2 (d) -22 (e) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51\/2 + -27. Let n = 262 + -227. Suppose 10*y + 15 = -n. What is the closest to -2 in o, y, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1714043 less than -1713902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -1. Let f = -0.5 + 0.65. Let c = f + -0.15. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -543172*k**2 - k - 693580 with respect to k.\nAnswer: -1086344*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p = 0. Suppose -5*k + p + 7 = -c, c - k = 1. Suppose -12 = -c*o, -o = 5*f - 44 - 40. What is the highest common divisor of 176 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**(3\/2)*(m**12)**(3\/23) assuming m is positive.\nAnswer: m**(381\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-14 + (6 - -10))) + 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206359?\nAnswer: 19, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21033 is divided by 2625?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m - 59*m + 39 = 0. Solve -30 = 5*p - 3*s, 3*s - 12 = -m*p + 2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - 36 = 16*y. What is the common denominator of (-411)\/(-2)*1\/y and -19\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -131333?\nAnswer: -132001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**6 - 637*r**4 + 5*r**3 + 84760*r**2.\nAnswer: 480*r**3 - 15288*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 6:48 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -53, -72, -91, -110?\n\"Answer: -19*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -4*m - 1. Suppose 9*u + 32 = 5*u. Let o(z) = 12*z + 3. Let k(d) = u*g(d) - 3*o(d). Let v be 1 + -1 + -1 + 0. Let p(s) = -s. Calculate v*p(x) + k(x).\nAnswer: -3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42325 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 1, 7, 15, 25?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1404\/106963 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -21*q + 11*q. Suppose a + 29 = -q*l + 3, -2*l + 2 = -a. Let p = 2 + -14. Does a = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (6 - 4 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*b*w*z**2 - 8*b*w*z - 37*b*z**3 + 6*b + 18*w*z**3 + 13*z**3 wrt w?\nAnswer: -7*b*z**2 - 8*b*z + 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 5*b**2 - 18)*((2 - 2 + 2)*(-10*b + 10*b - 8*b**2) - b**2 + 3*b - 3*b - 3*b - b**2 + 3*b) - 5*b**4 - 2*b + 3*b + 8*b**4.\nAnswer: -87*b**4 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 71323 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 3*b)*(-2*b - 28 - 17 - 12).\nAnswer: 2*b**2 + 57*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9082730 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 12:10 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - x + 112, 61*z + 38 = 62*z + x. What is the highest common divisor of z and 5180?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -8*m - 6. Let d(k) = -k - 1. Determine 5*d(a) - i(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/10)\/(8\/20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 11*p - 8. Let x be b(12). Put x, 0, -6, -5 in ascending order.\nAnswer: -6, -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3898 + 2014. Let y = -1067 - j. Let u = y + -404. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(3) - (1 + sqrt(3))) - sqrt(3) - ((sqrt(3) - (sqrt(3) + -1))*4)**2 - ((1 + sqrt(192) - sqrt(192)) + 0 + 1)**2.\nAnswer: -25 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4 + 16*o**3 - 686*o**2 - 1444*o + 2112 = 0. What is o?\nAnswer: -22, -3, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 78, 0, 4 in decreasing order.\nAnswer: 78, 4, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7086*a + 439331. Calculate q(-62).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3509*k - 39287 = 8410 + 4938 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -l + 1, -5*d + 4*d - 2*l = -2. Let y(j) be the second derivative of d + 10*j + 0*j**2 - 1\/57*j**3 + 1\/57*j**4. Find i, given that y(i) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 1 = 1. Suppose w*z - 3*z + 5 = 0. What is the lowest common multiple of z and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/419 (b) -92 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -40*i**2 + 110*i - 17. Determine s(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1c404 (base 14) to base 3\nAnswer: -10122221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/140)\/(27\/(-30))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -29. Let l = 4.5 + t. What is the second biggest value in l, -0.2, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-4 - 3\/(-1)). Put -1, 1, t, 4 in increasing order.\nAnswer: -1, t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1170*r + 321. Let i(w) = 117*w - 32. Let m(x) = -21*i(x) - 2*y(x). Is m(-2) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 2532?\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14547100 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (1 + -32 + 20)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-5 - 2) - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 576?\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 8 + 2. Let b be ((-10)\/d - -1)*-5. Suppose -b*t - 3*i - 7 = -0*i, i = -t - 3. Which is greater: t or 14\/15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3*z**4 - s**3 + 18*s**2*z**5 - 183*s*z**2 wrt z?\nAnswer: 24*s**3*z + 1080*s**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m + 4. Determine i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 706278922?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + w - 2. Let k(q) = q**3 - 2*q**2 - q + 1. Suppose -2*z - 75 = -5*y, 2*z + 10 = -0*z. Let g = y - 11. Determine g*f(n) + 3*k(n).\nAnswer: 3*n**3 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.9. Let o = -2.1 + n. Let a = 2.000038 + o. Round a to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 - 56 = -4*g. Let q be 16\/g*6\/(-4). Let x = -0.65 - 6.35. Which is the third biggest value? (a) q (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 15*i - 40. Let f(t) = -380*t - 1525. Let x be f(-4). Determine z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 d, and 1 p when three letters picked without replacement from pbxdblg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1043939 and 39169.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1156344, 1156347, 1156350, 1156353?\n\"Answer: 3*g + 1156341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {s: 1, c: 6, j: 4, b: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1773, 2056, 2339?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*p = 577, q - 121 = 2*q - p. Let y = q + 587\/5. Let l = -224 - -223. What is the second biggest value in -0.6, y, l?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918141244.\nAnswer: 2, 59, 3890429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (12 + -6) - -2394. Suppose -2*s + 8 = -0*s, -v - s = -19. Suppose -20*d + g = -v*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-178)\/(-14))\/(((-41)\/82)\/(7\/(-2)))\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 9. Let z(f) = f**2 - f. Let b be z(1). Let s be v(b). Let h = -12 + s. Let d(j) = j**2 + 4*j + 2. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 36*z - 44*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-1 + 1) - -15. Suppose t + 40 = -4*g. Let a = 14 + g. Solve a*p = -4*p + 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-2 - 52)) + (39 - (16 + 6 + 15))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**0*a)**(-24\/11)\/(a**(1\/3)*a)**(-32) assuming a is positive.\nAnswer: a**(1264\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.1, -1\/2, 3\/2, -1.29, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1702253417 to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, m: 7}. What is prob of picking 1 f and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o**3 + 6*o**2 - 5*o + 13. Determine t(2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(0 + 1 + sqrt(8)\/sqrt(4)) - (-1 + 5 + sqrt(32)*3))**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70683267.8 rounded to the nearest 100000?\nAnswer: 70700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 10:35 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, 3, -6 in descending order.\nAnswer: 8, 4, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + s = 63, -370 = -4*a + s - 128. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6486294547 to the nearest integer?\nAnswer: 80538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546 is divided by 65?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0997 + 0.522.\nAnswer: 0.4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*b + 208*b - 75*b)*(-2 + 2 - b) - 3*b + 3*b - 2*b**2 in the form l + w*b**2 + f*b and give w.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.457 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*u**4 - 8167452*u**2 + 649224510*u?\nAnswer: -444*u**2 - 16334904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 4*h + h)*(-342 - 134*h + 342) to the form b*h**2 + r + x*h and give b.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21954123?\nAnswer: 3, 17, 43, 47, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68372 is divided by 29041?\nAnswer: 10290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 3:08 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -10\nAnswer: 103\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from kivvyifl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d - 72*d + 4*u = -203753, -2*d - 2*u = -407526. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -137 - -122. Is 3 + 543 - a\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -38 + -57 + -5 + -18.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -290\/37 or -7?\nAnswer: -290\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.1 (c) -0.2 (d) -30141.33 (e) -4\/7 (f) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + sqrt(117)*4 + 2 + ((sqrt(468) - -1*sqrt(468))\/sqrt(12))\/sqrt(3))**2 + 1.\nAnswer: 68*sqrt(13) + 3762","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.16793 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143326 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1186\/7 - 170. Let i = -0.64 + -47.36. Let w = 46 + i. Which is the third smallest value? (a) 2\/19 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7*3*1\/(-3). Let s(b) = b**3 + 8*b**2 + 7*b - 4. Let o be s(c). Let k(j) = j + 12. What is the units digit of k(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 15*u - 28*u + u**2 + 14*u in the form d*u + n*u**2 + z and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:42 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 9 = 5*u + 6, -p = -5*u - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*n - 21. Let a = 4 + n. Let h(o) = -o**3 + 10*o**2 - 9*o + 7. What is the units digit of h(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 44*q - 3336. Let r be w(76). Solve -2*g + 2*s = r, -29*g + 30*g + 5*s = 26 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 4*r**2 - 6*r**2 + (-r + 5*r + 2*r)*(0 + r - 5 - 3).\nAnswer: 4*r**2 - 48*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Let p = 25 + -21. Suppose m = n + p*m - 36, 5*n = 5*m + 180. Let c = 38 - n. Determine q(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3, -10*v = -p - 5*v + 30. What is the remainder when 124 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2233040 (base 5) to base 11\nAnswer: 27975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 14*c**2 - 13*c + 2. Let i be f(-13). Suppose i*b - 16 = 14. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -38 - 32. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-387)*(1\/(-3) + (-1521)\/1755).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, 110, -16 in increasing order.\nAnswer: -16, -3, 6, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1179 divided by 4.\nAnswer: -1179\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797612843?\nAnswer: 12697, 62819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 159*f**2 + 19*f + 996. Determine l(-53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**3 + 4*f**2 - 2. Let i(a) = 5 + 5*a**3 + 4*a**3 + 16*a**2 - 24*a**2. Let r(k) = 4*i(k) + 10*u(k). Let r(q) = 0. Calculate q.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) -5 (c) 1.357 (d) 35 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21.5 - -18. Let x = -3 - u. Let f = 0.4 - -4.6. Which is the biggest value? (a) 0 (b) x (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1082?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11408 is divided by 2805.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmihdnivmdiddmdnmn. What is prob of picking 1 m and 2 n?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:04 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:29 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 3:47 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2*y - 4*y**3 + 7*y**4 + 2*y**3 - 3 - 9*y**4 as u*y**4 + t*y**2 + a*y**3 + b*y + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2*t = 14. Let h be (-3)\/t*(-34)\/51. Put -5, 1\/3, h in descending order.\nAnswer: 1\/3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (618\/1854)\/((-1)\/75).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1349)\/8 - (-69)\/(-184). Let j = a + 347\/2. Determine q so that 3\/2*q**2 - j*q + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6942*c*l*z**3 - 135*c*l*z**2 + 16596*c*z**3 - 2*c*z**2 + z**3 wrt l?\nAnswer: 6942*c*z**3 - 135*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4476 + -2763. Suppose 0 = -40*f + 43*f - x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3 + 51*s**2 - 99*s + 49.\nAnswer: -(s - 49)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 f when two letters picked without replacement from rznngfhr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 1874415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -51 - 15?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -3. Let v = -1.8 + 2. Let l = 0.3 - v. What is the closest to o in -0.4, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -69385 and 27441.3948.\nAnswer: -41943.6052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*((2 + 1 - 1)*(-3*r + 7*r + r) - 209 + 209 + 101*r)*(-2*r - 22*r + 11*r) to the form w*r**2 + j*r + z and give w.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k + 11. Let p be 364\/(-32) - (-20 + (-2983)\/(-152)). Let y(c) = -c + 4. Let x be (2\/(-1))\/(2\/(-4)). Determine p*y(j) + x*m(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*z + 84 = -70*z. Let t be z*(4 - (-64)\/(-28))\/2. Calculate the greatest common divisor of t and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2448829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = 109*d - 456 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 67, 2, -10, 5\/6, 11, 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 25, 40, 51, 52, 37, 0, -65?\n\"Answer: -g**3 + 7*g**2 - g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-38)\/(-5))\/((-18)\/(-81)). Let h = 34 - x. Suppose 3*t + 3 = -4*p, -166*t - 4*p = -171*t - 5. What is the biggest value in -3, t, h, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4965.66 tonnes to micrograms.\nAnswer: 4965660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 10. Suppose -a*w = -23*w - 225. What is the highest common divisor of w and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 6. Let s be f(6). What is the highest common divisor of 462 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -84, -33, 5, 2, -1 in increasing order.\nAnswer: -84, -33, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + 3*k - 2*k)*(k**2 - 2*k**2 + 2*k**2 + (37*k**2 - 3*k**2 - 18*k**2)*(2 - 3 - 2)) in the form w*k + j*k**3 + p*k**2 + d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494*w**2 - 494*w**2 - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 10535748887.\nAnswer: -10535748882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1812213 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let w(o) = -20195*o - 2. Let h(i) = 20208*i + 1. Let j(b) = -4*h(b) - 3*w(b). Give y(j(m)).\nAnswer: 409941009*m**2 - 80988*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6875 + -6881. Sort -1\/6, -0.04, m in ascending order.\nAnswer: m, -1\/6, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i + 3*i)*(13*i**3 + 45*i**3 - 38*i**4 + 39*i**4) - 2*i**5 - 5*i**5 - 4*i**5.\nAnswer: -10*i**5 + 58*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7)\/g*g**(-5)\/g*(g\/(g\/(g*g**(-16)*g)))\/(g*(g\/(g\/(g*g**(6\/7)\/g)*g))\/g))**(-21) assuming g is positive.\nAnswer: g**585","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(-1)\/2 + 1 + (-4)\/(-92). What is the third biggest value in 0, -4, m, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -104*a - 5302. What is j(-51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2, 15, -1, -5, 431, 8\/13 in descending order.\nAnswer: 431, 15, 2, 8\/13, 0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 10*v - 60. Let s be i(6). Let g(x) = x**3 + x + 12. Give g(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**2 + 2*v + 1. Let f be t(-2). Suppose -f*p = -95 - 100. What is the first derivative of 76 - 19*u**2 - 44 - p wrt u?\nAnswer: -38*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 26*c + 9. Let l(v) = 77*v + 27. Let s(t) = -17*h(t) + 6*l(t). Suppose 0*q + 30 = 3*q. Is s(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23621828\/89 or -265413?\nAnswer: -23621828\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpwvwwvpvwvpvwwvwvw. Give prob of sequence wpw.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/1911 - 211\/637. Let t = 0 + 0.4. Which is the third biggest value? (a) t (b) x (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2352, -679, 9058, 30891, 68852?\n\"Answer: 672*c**3 - 3031*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2513170 divided by 242.\nAnswer: -10385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 156*f**2 + 1257*f + 81. What is i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169 at most 71272\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -j + 0*j**4 + 0*j**3 + 0*j**2 - 8\/5*j**5 - 14. Differentiate l(m) with respect to m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*o = 39*o + 4*v + 430, 2*o - 10*v + 3 = 31 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -896, -898, -902, -908, -916, -926, -938?\n\"Answer: -y**2 + y - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 61917 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-220)\/(-15))\/11*(-6)\/(-14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7*j**2 - 3 - 8*j**2)*(0*j**2 + 0*j**2 + 2*j**2).\nAnswer: -2*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 - -10) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45780341 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -8, -0.08, 1.\nAnswer: -8, -0.08, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19881851 is divided by 3405.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -45619*c - 1049206. Give t(-23).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -409758.\nAnswer: 1229274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*v + 54 = -2*k, v = -4*k + 133. Let h be (0 - 2)*(-48)\/k. Find b such that 0*b**4 + 1\/3*b + 1\/3*b**5 + 0*b**2 - 2\/3*b**h + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -46, 4, 0.2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 7*u - 19*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + (-20 - -5)\/((102\/9 - 1) + -8). Let d = -0.2 + 0.2. What is the nearest to d in 0, -2\/5, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 - 26) + -1 + 10. Let t be ((-28)\/(-12) - 2)*15. Solve -5*g = -5*d - 30, 3 = -2*g - t*d - k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 26\/91 - (-18)\/(-14). Let d be 469\/(-1) - (y + 0). Let s = 1031 + d. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1887, 3749, 5587, 7401?\n\"Answer: -12*u**2 + 1898*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134221.31 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**3 - 3*c**2 + 3*c + 2. What is the tens digit of a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23406, -23405, -23404?\nAnswer: -23403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -12, 2, -0.35 in descending order.\nAnswer: 2, 0, -0.35, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 - 2*b**3 + 5*b**2)*(0 - 1 - 1) - 24*b**3 - 117 + 117 + 4*b - 4*b - 3*b**3.\nAnswer: -23*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22784 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3485 and -3485 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -216, 7 in ascending order.\nAnswer: -216, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrt when three letters picked without replacement from mtmhrrmmmtrrm?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 + 4 - v**2)*(-v**2 + 0*v**2 + 0*v**2).\nAnswer: -v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-12))\/(6\/(-9)). Let l = -3 - -1. Put l, -2\/3, v in descending order.\nAnswer: v, -2\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -613337714*j - 248034573 wrt j.\nAnswer: -613337714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/((-4872)\/(-1358)) - 238\/102?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 3*d - 22, 72 = -104*b + 108*b - d. Solve 0 = 9*y - b - 10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1545856, -6183388, -13912600, -24733492, -38646064, -55650316?\n\"Answer: -1545840*l**2 - 12*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*2.41.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 81 - 75. Suppose 4*y + 8 = 2*b - w, -4*y = 8. Solve -b*p - 4 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 187 and 377876.\nAnswer: 4156636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + (7 - 37)\/(-6). Let u = -53\/2 - -26. Is l > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*f = -4, -5*v - 3*f + 16 = -10. Suppose v*c - 95 = -3*i, 5*i = -4*c + 4 + 93. Is c even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.9275 to 1 dp.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of -17*l**7\/42 + 17*l**3\/6 - 24*l. Find the second derivative of t(n) wrt n.\nAnswer: -340*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3388) + 1 + sqrt(3388) + 5 - (0 + sqrt(3388) + -4))**2.\nAnswer: 440*sqrt(7) + 3488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4571293 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 5. Let w be i(0). Let j be -2 + (-6)\/(-9)*3. Suppose -4*l + l + 6 = j. Sort l, 3, w in decreasing order.\nAnswer: 3, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 33. Let q = 16 + b. Let y be 10\/(-3)*54\/q. Solve y = -3*o + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (247\/1729*(-14)\/2)\/((-66)\/4).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 - 140*l - 15168\/7 = 0 for l.\nAnswer: -474, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 10. Let l be (-7 + 8 - 8)*(0 - 1). Let n(f) = 12*f - 48. Let z be n(l). Let h(u) = z - u - 17 - 19. What is h(b(v))?\nAnswer: v**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*m + 83*m - 59*m)*(-668*m + 67514 - 67514) to the form p + i*m**2 + a*m and give i.\nAnswer: -29392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyx when three letters picked without replacement from xyp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (-13 + 43 + -41).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-14))**37\/(c**(-4\/5)\/c**26))**22 assuming c is positive.\nAnswer: c**(-54032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*x + 15778 = 681*x + 154*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 933193451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3320010 + 2033?\nAnswer: -3312422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -908367, -908368, -908369, -908370?\n\"Answer: -i - 908366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + w + 16. Let m be r(0). Suppose 2*z = 16 + m. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 53*x - 27*x + 35*x + 11*x + 57*x. Let j(o) = 2*o. Calculate j(d(u)).\nAnswer: 258*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 95101*l = 95105*l + 72, -114 = -5*h - 3*l for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*v**2 - 2 + 9 + 84*v**2 - 12*v**3 - 10 - 25*v**3 wrt v?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 0.106986?\nAnswer: 0.506986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 810 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -37. Does 6 divide (-6 - 1)*j\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 126485 - 266351. Is (-3)\/2 - (a\/12 - 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 29 - (168 - 186)) + 41\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 56633, 56626, 56619, 56612, 56605, 56598?\n\"Answer: -7*j + 56640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.18627675 and -0.4.\nAnswer: 0.0745107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155276792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11 + 8721\/9 + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*f = 2. Let o(w) = f + 0 + 4 + 6*w**2. Let y(z) = -z**2 - 7*z - 2. Let u be y(-5). Let h(m) = -4*m**2 - 4. Give u*h(s) + 5*o(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + -4f?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*v**3 - 99*v**3 - 139*v**3.\nAnswer: 85*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.671462176 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38601*v**5 - 47*v**2 + 2*v - 119?\nAnswer: -2316060*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 3. Let v be m(0). Suppose a - 14 = 10. What is the greatest common factor of a and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1337)\/(-63) + (-2)\/9 + (-21 - -21).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 66523004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/39, 0.4, -62, 5, 1?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*y - p, -11 = y - 2*p. Let b = 16 + -23. Which is bigger: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let d = -3 + l. Let m = d - 0. Which is smaller: m or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 610*o + 4286. Determine u(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnmnnnmmmmm. Give prob of picking 1 m and 2 n.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -5*n - 0 + 13, p + 1 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 24c + -5?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1114 and 7799671.\nAnswer: 15599342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 5*l - 13, -5*v - 11*l = -7*l - 79 + 95 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1129*a*s**3 - 281*a*s**2 wrt s?\nAnswer: 6774*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/8)\/((-405)\/(-972)). Solve 2*f - 6 = i*l, 42*f + 5*l = 41*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g*g*g\/(g\/((((g*g**16\/g)\/g)\/g)\/g*g)))*g**(2\/43)*g assuming g is positive.\nAnswer: g**(-600\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/55 + 1\/5. Which is the nearest to 0.1? (a) k (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.33 * 1.3.\nAnswer: 17.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -10*z + 20 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-2*-1 + sqrt(85) - (2*sqrt(85)*1 + sqrt(85) - sqrt(85)))\/(sqrt(270)\/(sqrt(12)\/sqrt(2))).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 64*d**2\/13 + 24*d\/13.\nAnswer: 2*d*(d + 2)*(13*d + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {v: 1, d: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 2, l: 1}. What is prob of picking 1 l and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15669949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 377a3 + -724?\nAnswer: 3707b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1\/2, 2\/7, 30, 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*h - h - 2, 0 = -2*h + 3*b + 14. What is the first derivative of -3*a**4 + 5 - 7*a**h + 0*a**4 - 13 wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 322, 319, 304, 271, 214, 127?\n\"Answer: -t**3 + 4*t + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 113. Calculate the remainder when d(8) is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*o - 662 = -7*o, 2*o + 1626 = -5*n. Let g = n + 459. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 448, 430, 392, 328, 232, 98?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + 1 + -1 + 0. Suppose 5*g - 4*k = -m*g + 28, 2*k = 3*g - 16. Suppose g*h = 17*h - 156. Solve -p = -4*p + h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8, -15, -30, -53, -84, -123, -170?\n\"Answer: -4*c**2 + 5*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 31 + ((-6)\/(-3))\/(-2). Suppose 0 = 3*c + 2*k - 21, 7*k + h = 2*c + 3*k. Let s = c - -35. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1628, 1630, 1634, 1640, 1648?\nAnswer: 1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71170.2 + -71170. Let t = -0.04 - -4.04. What is the closest to x in -2, t, -1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:15 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.566 and -4.\nAnswer: 154.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 8:25 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 1010 = -8662. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1068*l**3 - 7*l**2 - l - 14. Let z be i(-9). Round z 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 6, -6, -26, -54, -90, -134?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.013215 nanograms to micrograms.\nAnswer: 0.009013215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/2 + 0 - (-232)\/58. Put 95, 5, j in decreasing order.\nAnswer: 95, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + x**2 - x + 1. Let p be l(0). Let w be (-273)\/182*2\/6*4\/(-6). What is the biggest value in -3, -0.2, p, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474 + -36017. Let j = a - -22925. Let s = j - -201953\/16. Find the common denominator of 3\/2 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-10) - (-6)\/(-15). Let a(b) be the first derivative of b**4\/4 - 5*b**3\/3 - 4*b**2 + 12*b - 14. Let q be a(6). What is the smallest value in q, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48747*w + 0 + 48747*w + 77*w**2 - 13 in the form t + z*w**2 + h*w and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10012303 - -2?\nAnswer: 10012311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1416.1651 + 0.3651. What is r rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103111\/18 - 5733. Calculate the common denominator of -149\/42 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 1173\/(-221) - (-727523)\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*t - 290*t + 102 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -218 + -18.595\nAnswer: -236.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 9*h - 4. Let i be u(-5). Let g be (-69)\/12 + (-4)\/i. Let q(k) be the second derivative of k**4\/12 + k**3\/2 - 4*k**2 + 3*k. Determine q(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -516.5 + 516. What is the biggest value in 3\/7, t, -0.023?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252281 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229*z - 4 = 233*z. Let r(u) = -274*u - 3. Is r(z) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20164216 and 6.\nAnswer: 60492648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*o - 13, 5*g - 5*o - 25 = -20. Solve 10*h = g*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 + -59. Let r = u + -65.4. Sort 3, r, -1\/2, 4 in descending order.\nAnswer: 4, 3, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/11412 and 35\/1268.\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -681*f**3 - 1177*f**3 - 385*f**3.\nAnswer: -2243*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 - 160. Let o be (2 + 6)\/(4\/10). Calculate the greatest common factor of c and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 1) + 1*5. Suppose -4*p - 4*d + 240 = 0, -p = 4*p - 2*d - 300. Calculate the highest common factor of p and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txyyytyyffyxyyx. What is prob of picking 1 x, 1 t, and 1 y?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**2 - 175*a**2 - 220*a**2 - 28*a**2.\nAnswer: -371*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/8 (b) -2 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 57 = -9*a, -19*u = -2*a - 16*u - 27 - 70 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -56874725, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-15) - -2)*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -30*o + 982. Let d be q(29). What is the highest common factor of 504 and d?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124491213 to the nearest integer?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -39 + 4?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -2713\/183?\nAnswer: -2713\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16644 = -4*u + 61*u. Let x = -149 + -52. Let i = u + x. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.05 + -9.95. Which is greater: -1.93 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 255629, 1022525, 2300685, 4090109, 6390797?\nAnswer: 9202749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 7)\/(15\/((-75)\/(-10))). Solve -z + l*z = 15*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 31. Suppose -3*q - v + 3*v + 41 = 0, v - 77 = -5*q. What is the remainder when q is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 106*r**4 + 2370*r**3 - 12934*r**2 + 19192*r - 8520 = 0. What is r?\nAnswer: -71, 1, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a decade in months?\nAnswer: 1620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {h: 1, t: 2, w: 3, o: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -267066? (a) 4 (b) -0.2 (c) 3 (d) -0.09 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 319\/(-1595)*(-110)\/(-3)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558, 557, 556, 555, 554, 553?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 20*g**2 + g + 1. What is the remainder when z(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 1. Suppose -6 = -8*g + 11*g, h - 3*g = 24. What is the remainder when h is divided by m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = 31*u + 242 - 1 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -134644.4 and -0.0127891.\nAnswer: -134644.4127891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u**2 + 7*u + 8. Let z be b(-5). Is 953\/(z*(-5)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 1.15\nAnswer: -0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -398*r + 395*r - f - 66, 5*r + 0*f = -f - 76 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3028 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, -10, -1, 5, 60, 1 in ascending order.\nAnswer: -10, -1, 0, 1, 5, 13, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 - (-2)\/(-1). Let s(b) = 16*b + 5. Let r(d) = 23*d + 7. Suppose -20*u + 79 = -21. Let j(m) = u*r(m) - 7*s(m). Determine j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128444690*u**5 + 212179*u + 388?\nAnswer: -2568893800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -2)*5*4.\nAnswer: -40 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111001100010 - -100?\nAnswer: -10100111001011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12516082 and 3?\nAnswer: 37548246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7278954 or 7278946?\nAnswer: 7278954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03279 + -0.00792. What is c rounded to three dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3986 + -3988.631. What is i rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s + 102. Let c(q) = -2*q**2 + 15*q + 5. Let u(h) = -3*h - 1. Let f(z) = -c(z) - 5*u(z). Calculate r(f(d)).\nAnswer: -8*d**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-4 - 334\/(-22))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/629 and (-75)\/(-990)*1464\/(-1360).\nAnswer: 27676","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 144*z**2 + 813*z - 2094. Give h(-138).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2 (b) 3\/10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2184 = 2*s, 2*y + s + 4*s = 882. Suppose 2*m - 938 - y = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k + 4. Suppose 3*b - 5 - 6 = -k*q, 2*b + 2*q = 8. Suppose 22 = b*i - 4*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 66 - 12) + (1 - 0) - -13.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*(-14)\/735)\/((-6291)\/(-1631)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -320716\/3*j**3 - 12*j**2 - 6*j + 0. Let l be f(-7). Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - 136\/(-32) - 1\/4. Let w be (-14)\/t - 13\/(91\/28). Suppose -11 = -u - w*x, 4*u + 2*x - 5*x - 14 = 0. Solve -c = -u*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -14\/5, 5, 27, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/5))**(1\/7)*l\/l**(-25)*((l\/(l*l**(3\/2)))\/l)\/l*l assuming l is positive.\nAnswer: l**(1657\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 48484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 2*f + 1. Let s = 3 + 1. Suppose -3*o + 12 = 0, -a + 2*o = 3*a - s. What is p(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 70, 71, 72?\n\"Answer: j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 68. Let u = 21 - p. Is u < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 6*f**2 + 20. What is the thousands digit of q(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*p**2\/5 - 370*p + 462\/5 = 0. What is p?\nAnswer: 1\/4, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105679\/11 + 9607. Sort -4, 0.5, 0.4, q, 139 in descending order.\nAnswer: 139, 0.5, 0.4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3 - s + 5*s - 1 - 20. Let u be w(7). Suppose 35 + 213 = u*v. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -0.9 (c) -2\/11 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y**2 + 3614*y - 119972. Let q(c) = 4*c**2 - 1205*c + 39990. Let g(m) = 5*o(m) + 14*q(m). Find f, given that g(f) = 0.\nAnswer: 200\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10375, -10335, -10275, -10189, -10071, -9915?\nAnswer: -9715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39242967*r - 45240252.\nAnswer: -39242967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.7 - -0.7. Let a = b - -3.3. Let h = 43 - 48. What is the closest to 1\/2 in h, 1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6085\/9 + 670. What is the common denominator of -48\/1651 and i?\nAnswer: 14859","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.1, -9, -2\/5 in descending order.\nAnswer: -0.1, -2\/5, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2 and -0.4804343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/4 + 2*o**3 - 4*o**2 - 7*o + 103. Calculate u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2. Let a(b) = 65 - 9*b - 2*b - 69. Let n(w) = -10*w - 3. Let p(q) = -3*a(q) + 4*n(q). Give p(m(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 15, -1 + 5 = -4*v - 4*y. Suppose w - v = 2. Let i = w + -2. Solve 12 = 4*u - i*k - 6, 0 = u + 2*k - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/25*(-5)\/(-1). Let w(t) = t**3 - 3*t**2 - 3*t - 3. Let s be w(4). Let b = s + 1. Put r, b, -1 in ascending order.\nAnswer: r, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 920634808 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of ((-228)\/45 + (-16)\/(-40))*(-2971 + 7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34071782399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -492 plus 427010614498?\nAnswer: 427010614006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -46*z**2 - 74*z + 160. Determine y(2).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3))**(-42)\/(n**(-25)*n*n**(-1)) assuming n is positive.\nAnswer: n**(-143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 18) + 5 + ((-759)\/(-63) - 5)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7595401.\nAnswer: 11, 690491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -83 minus -1709115?\nAnswer: 1709032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**3 - 61890*i**2 - 493746750*i - 229482618750 = 0.\nAnswer: -15225, -495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -35. Let o(x) = -x**3 + 5*x**2 - 4*x + 6. Determine o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -6. Suppose -b + k = 2*b. Is b at least as big as 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, i: 2, f: 4}. What is prob of picking 1 l and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k + 79. What is n(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2201*m + 7930. Does 15 divide z(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 921 + z - 908 + 3*z - z**2. Calculate l(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 6*l**2 - 30*l + 41. Let n be m(-6). Solve 9\/4*w**4 - 3\/2*w + 0 - 9\/4*w**2 + 3\/4*w**n + 3\/4*w**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(32\/4)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9\/2 (b) 0 (c) 0.08 (d) -3\/91 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5401 (b) 1 (c) 1\/4 (d) 5\/4 (e) -1 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3878000 divided by -1939?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9837556 times 3?\nAnswer: -29512668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-11)\/4)\/(1450\/(-812)) and 32\/5.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 2*a. Let c(b) = 2*b**2 - 13*b + 11. Let x(g) = c(g) + 3*d(g). Determine x(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 0, 2 in decreasing order.\nAnswer: 2, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*a = -27559 + 91259 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.45 + 6.86. Let j = r + -2.1. Let w = j + -0.01. Sort -0.5, w, -3 in decreasing order.\nAnswer: w, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/17)*w\/(w**(-24)*w))\/(w\/(w*w*w**(-3)\/w))**(-2\/79))**(1\/15) assuming w is positive.\nAnswer: w**(33598\/20145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**2 - w**2 + 3*w**2)*(-7*w**2 - 4*w**2 + 3*w**2) + (50*w**3 - 861 + 861)*(1 - 1 + 2*w) as z*w**3 + c + q*w**2 + p*w**4 + y*w and give p.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25212 less than 17425?\nAnswer: -7787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 3 - 14*v - 3*v + 1 - 3*v**2 + 8*v. Let z be d(6). Suppose -4*c + 94 = l + l, 0 = 3*c - l - z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(2\/7)\/g*g))**(-7)*((g**6*g)\/g*g*g*g)\/(g*(((g\/(g\/(g\/g**7)))\/g)\/g)\/g)*((g**(2\/11)\/g)\/(g\/g**(4\/5)))**8 assuming g is positive.\nAnswer: g**(597\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + d + 14 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(78)\/(1*sqrt(6)) + -4 + sqrt(52)\/sqrt(4))**2 + (-2*sqrt(130)*2)\/sqrt(10)*-1.\nAnswer: -76*sqrt(13) + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -16 + (-48375)\/(-2975) - (36\/17 - 2). Let g(h) be the first derivative of -5\/21*h**3 - 2\/7*h**2 + u*h + 35. Let g(p) = 0. Calculate p.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1011024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 12842\nAnswer: -12839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (12291\/24*-6 - -1)*-4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-4*sqrt(68))\/(sqrt(4) + (sqrt(72)\/sqrt(9))\/sqrt(2)).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 122208 divided by -536?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 163501648?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.7 + -0.2. Let m = 158\/3 + -368\/7. Let r be (-884)\/(-2431) + (1 - 126\/44). What is the second smallest value in f, m, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -172*f**3 + f**2 + 4*f - 17. Let m be l(-7). What is m rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 5*x - 5 = 4*z, 2*z = -5*x + 20. Let l(m) = -22*m - 1. Let k be l(z). What is k rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 2. Let k be 10*(-6 - 149\/(-25)). Which is the closest to 2? (a) k (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11.2 and -0.437?\nAnswer: 4.8944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18382, -36761, -55094, -73357, -91526, -109577?\n\"Answer: 4*k**3 - k**2 - 18404*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 2. Is (o\/40)\/((-2)\/296) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -7 - -4 - (-4 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 541.2, -9, -1.5 in descending order.\nAnswer: 541.2, -1.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 708427000 to the nearest one million.\nAnswer: 708000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (5*sqrt(65)\/sqrt(5))**2 + -3*-5*(sqrt(13) + 1))*-6 + -2.\nAnswer: -2048 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(8) + sqrt(32)*4)*-3 - (0 + -4 + 0 + sqrt(2) + sqrt(2) + 5)).\nAnswer: -56*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 14*s + 2. Let f be w(0). Suppose 22 + 604 = f*r. List the prime factors of r.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 17.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*c**4*q + 2*c**4 + 2*c**2*q - 13*c*q + 2 wrt c?\nAnswer: -2640*c*q + 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.23.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 15. Suppose -2*k - 2 = a*l, 2*l - 4*k = -9*k - 5. Let h = 8801\/21 + -419. Which is smaller: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/(-120) + (-12)\/9 + 318\/120.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48.81 + 50. Let h = q + -1.2. What is the biggest value in h, -1\/4, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.2 - -1?\nAnswer: 307.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6576 is divided by 1620.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5000) + -1*sqrt(5000) + sqrt(5000))\/(2*sqrt(250) - sqrt(10)).\nAnswer: 10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2735, -2726, -2703, -2660, -2591, -2490, -2351, -2168?\n\"Answer: m**3 + m**2 - m - 2736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -7618*f - 5. Let m(d) = 2*d. Calculate s(m(p)).\nAnswer: -15236*p - 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10658*s**2\/3 - 876*s - 54 = 0.\nAnswer: -9\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1630*((-144)\/480 + 4\/5).\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*y**3 + 104*y**3 - 188*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 102\/(-170) - 17\/5. Let h be -578 + -8*b*(-2)\/16. Calculate the lowest common multiple of 6\/27 - h\/54 and 7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 920 = 5*z, 5*z - 538 = 2*z + 4*r. Suppose -48 = 2*v - z. Suppose 7*o - 1007 = -v. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 5*g + 2. Let x be q(3). Suppose -22*o + 5*t + 156 = -18*o, -124 = -3*o + 2*t. Let f = o - x. Is 30 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 11) to base 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**6\/120 + l**5\/15 - l**4\/6 - l**2\/2 + 6*l. Let h(o) be the first derivative of u(o). Find m, given that h(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 4) + 15 + -8. Find the third derivative of 33*q**3 + 0 + 4*q**i + 5*q**2 - 2 - 10*q**2 wrt q.\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12276.6 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*a + 596. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 6, 4, 2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185455 and 160515?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -6.39182 and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-21) - 640\/70. Is (-5 - o)*((-6)\/(-4) + -1) 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 -1*(-5)\/((-5)\/(-6))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1196040 to the nearest ten thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**5 - 38*l**4 + 52*l**3 + 14*l**2 - 53*l + 8. Let o(v) = -25*v**4 + 35*v**3 + 10*v**2 - 35*v + 5. Let k(q) = 5*d(q) - 8*o(q). Solve k(r) = 0 for r.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7716538*f**5 - f**3 - 183*f + 808?\nAnswer: -154330760*f**3 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3502386656?\nAnswer: 2, 131, 271, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**2 - 440*p - 872 = 0.\nAnswer: -218, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.9 + -11. Let q = j - 1.1. Let o be (1\/4)\/((-1)\/2). What is the nearest to o in -2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 73441522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 238843.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1944))\/((sqrt(72) - (1*sqrt(72) + sqrt(72)))\/sqrt(9))*4)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31078 and 17813.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/6))**(-28\/3)*(((y**(-28)*y)\/y)\/y)\/(y**(-30)\/y) assuming y is positive.\nAnswer: y**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -3, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-17))\/j*j)\/(j*j*j\/(j\/j**(1\/19)))*j**(-17)*j**(-3\/5))**(-27) assuming j is positive.\nAnswer: j**(1674\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/4 - 74745*y**2\/2 - 1345593*y\/4 - 747585 = 0. Calculate y.\nAnswer: -5, -4, 49839","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -253944 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 676, 0, -5, 1, -117 in decreasing order.\nAnswer: 676, 1, 0, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/18648 and 113\/3360.\nAnswer: 372960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**4*r**3 - 26*d**4 + 207*d**2*r**3 - d**2*r wrt d.\nAnswer: -48*d*r**3 - 624*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/693 or 1?\nAnswer: -2\/693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4 = -5*u. Solve -u*y + 25 = -7*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-9334)*((-7)\/(-3) + -2). Are k and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**3 + 3*s**2 + 2*s + 1. Let c be m(-2). Suppose 3*p - c = 5*w, -38 = -2*p - w + 6*w. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52af89 (base 16) in base 9?\nAnswer: 11168277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*j**5 - j**4 - 8*j**3 - 44*j**2 - 17*j - 3 wrt j.\nAnswer: -480*j**2 - 24*j - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1565238*a**2 + 236378 wrt a?\nAnswer: 3130476*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 5*s - 212. Is s*3*(-2)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.27 + 118956637.\nAnswer: 118956629.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 765 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -474.95 - -495. Let w = -20 + r. Which is the second smallest value? (a) w (b) -0.1 (c) -0.2 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/9)*u*u*u*u)\/(u*u**(-2\/19)\/u))**(-10\/11)*u**(-2)\/(u*u**0)*((u**(-2)*u*u)\/u)\/((u*u*u**(-4))\/u) assuming u is positive.\nAnswer: u**(-9281\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1425 - 628.8575. Let g = -619 - i. Sort g, -1, 3 in ascending order.\nAnswer: -1, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(-38*(-35)\/31920).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)*n)**(-29))**(-10) assuming n is positive.\nAnswer: n**(1160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 15 = -5*p, -6 = 4*n - 8*n + 2*p for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r*r**(-13)*r*r)*r)*r*r*r**15\/r*(((r*(r**(3\/4)\/r)\/r*r)\/r)\/r)\/r**(-6) assuming r is positive.\nAnswer: r**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/6*(-36)\/2. Let r = -46 - f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 31 = 2*m, c - 12 = -m + 2*m. Does 2 divide (-2)\/c - 30\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -347, -38, 459?\nAnswer: -347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/sqrt(7)*-3 + -2.\nAnswer: -3*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-13)*x**(-11))\/(x**(1\/4)*x*x*x**17) assuming x is positive.\nAnswer: x**(-173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262*z - 329274 - 102764 = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 8:28 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 357216 and 1647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2047, 2134, 2287, 2512, 2815, 3202, 3679?\nAnswer: 4252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14835, -5, 246 in increasing order.\nAnswer: -5, 246, 14835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*z + 145*z = -13488. List the prime factors of z.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -9. Suppose u*l - 6 = 2*l. Suppose -v = -4*h + 2 + 8, -2*v + 6 = 5*h. Solve h*i - 8 = -l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 116\/45 (b) -12 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(2*-1)*47. Let r be (-14)\/63 + 572\/(-18). Let u = r - a. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**6\/2880 + c**5\/80 - 11*c**4\/192 + 47*c**3\/3 + 2*c**2 - 2*c. Let k(r) be the first derivative of t(r). Factor k(b).\nAnswer: -(b - 11)*(b - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 9. Let d be l(10). Suppose -5*z + 11 = -d. What is the remainder when 15 is divided by 4\/(-12) - (-26)\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.92 (b) -2\/413 (c) -2\/13 (d) -0.5 (e) 4 (f) -3 (g) 3\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 4, -12, 2, 754 in increasing order.\nAnswer: -12, -4, 2, 4, 5, 754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 13. Let s be w(-15). Let c be -2*(s\/(-1) - -1). Suppose -2 = -4*q + c. What is the greatest common factor of 5 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -26 + 42. Suppose -l + 4*b = 3*b - 218, t*l = b + 878. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 24*h**2 + 23*h + 78. What are the prime factors of s(-26)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -565 - -2072. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000110011 + 1?\nAnswer: -100100000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 + 2151*a**4 - 90966*a**3 - 95262*a**2 + 90963*a + 93111 = 0. What is a?\nAnswer: -757, -1, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**3 - 65*c**2 + 2*c - 2. Let u(j) = -11*j**3 + 131*j**2 - 4*j + 5. Calculate -7*s(r) - 3*u(r).\nAnswer: -2*r**3 + 62*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.06 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 130*c**3 + 7*c**2 - 5*c - 2. Let d be k(1). Suppose 0 = d*s - 140*s + 11890. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a88 (base 11) to base 6.\nAnswer: -40311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 8*j + 2*j + (0 + 3 - 2)*(2*j - j - 2*j) + (j + 3*j - 3*j)*(-3 + 4 - 3).\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*(-3)\/27*3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-5) + 12\/10. Suppose -8 = -5*q + n, -12 = -2*q + t*n - 6*n. Suppose -q*j = 0, 2*j - 60 = -o + 5. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-6))\/d)**(3\/11)\/(d**2)**8 assuming d is positive.\nAnswer: d**(-158\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 0*z + 3*z + 2*z - 1 + 1 + z + 2*z - z - 3*z + 4*z + z + (2 - 2 - 2)*(-4*z + 2*z + 0*z))*(-2*z**3 - 3*z**2 + 3*z**2).\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 times 4.141?\nAnswer: 1093.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**7\/273 + p**6\/65 + p**5\/13 + p**4\/39 - 3*p**3\/13 - 5*p**2\/13 + 83*p. Suppose k(y) = 0. What is y?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 56\/12 - 4\/6. Suppose 4*b + 4*a - 4 = 0, 4*a + 23 = b + k*b. Factor -2\/9*h**b - 4\/9*h**2 - 2\/9*h + 0.\nAnswer: -2*h*(h + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182661, 364928, 547207, 729504, 911825, 1094176?\nAnswer: 1276563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-5)*(-2)\/(-46472312). Let y = 636316323013\/116180780 + m. Let j = 5475 - y. Find the common denominator of -29\/14 and j.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, x: 2, j: 2}. Give prob of sequence xjxn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10 + 2)*(-9)\/(-6). Let h(i) = i**3 + 4*i**2 + i + 3. Let m be h(-3). Calculate the greatest common divisor of m and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (57 - 54)\/(((-2)\/(-22))\/1). Let l be 12\/21*(-2 - k\/(-6)). Suppose 2*q - r = -2*r + 13, q - 20 = 4*r. Solve l*w + 5*z = q, -8 - 12 = -5*w - 5*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/50)\/4*5470\/(-4376)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -59. Which is the smallest value? (a) 2 (b) y (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15284781*q**3 - 4*q**2 + 4*q**2 - 15284780*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 63.3. What is the fourth biggest value in 7, b, -1\/4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*7.881\nAnswer: 18.1263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + (-6)\/(-26)*13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three halves of a microgram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4*k**5)\/(k**(-2\/5)\/(k\/(k**(-3\/2)*k))) assuming k is positive.\nAnswer: k**(109\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/12 - 2*w**3\/3 + 5*w**2\/2 - 2*w. Suppose 0*d + 4*d = 20. List the prime factors of q(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 78631 - 78659 = 0. Suppose 2*o**3 + 4\/3*o**m + 1\/3*o**5 + 4\/3*o**4 + 1\/3*o + 0 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 8 = 8*j - 4*w, 5*j + 2*w + 4 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -278*b + 272*b + 1710 - 258. Calculate the remainder when b is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3901*n + 4*q = -3900*n + 2, 3*n - 4*q + 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) -143.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -11*k**7\/42 + 9*k**3\/2 + 51*k**2\/2 + 39. Let a(l) be the second derivative of p(l). Differentiate a(i) with respect to i.\nAnswer: -220*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 211.519 and 6?\nAnswer: 1269.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17*d**3 - 6*d**2 + 4*d. Let o(n) = -n**2 + 455*n - 4017. Let v be o(9). Let q(y) = -18*y**3 - 5*y**2 + 3*y. What is v*m(h) + 4*q(h)?\nAnswer: -21*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 0 = -3*j + 4, -3*j - 3*y + 24 = 0. Suppose 0 = 4*t - j*t, -2*m + t - 14 = 0. Which is bigger: -6 or m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {n: 7, a: 8, x: 5}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 11019 = -2*a + 11050, 8*u - 5*a = -94 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2425855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2512912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -5585.73 to the nearest 100.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (40 + -15 - 1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/147 equal to -0.013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 42*a + 67761 = 3*n, 45195 = 2*n - 5*a. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 15*n**2 - 2*n - 27. Let g be 2\/((-18)\/(-21))*-3. Let a be 214\/(-14) - 2\/g. Let o be r(a). Put 4, o, 1 in ascending order.\nAnswer: 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 - 43 = 0. Is 5 a factor of r\/(2\/1 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -453*l - 11488 = -3*q - 451*l, -l + 15332 = 4*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/6 + 9*q**2 + 31. Let n(y) = 5*y + 5. What is 4*n(s) + 20*t(s)?\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -4*c - 4*o - 12, 4*c - 16 = 4*o. Solve 4*d - 5*d = 2*i, 0 = c*i - d + 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -5\/4, -1\/4, 5, -3, 1320?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k*q*s**3 - 110767*k*s**3 + 2*k - 29898*q with respect to q.\nAnswer: -6*k*s**3 - 29898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385 - -387. Solve x*s + 0*s - 20 = -5*w, 3*s = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 2*q**2 + 6*q - 3. Let p be g(2). Let d = p - 43\/5. What is the nearest to d in -1, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = -106*k + 107*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 15 - (11 - (-25 + -1))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**23*m)\/m**(-2\/13))\/((m\/(m**1*m))\/m**14) assuming m is positive.\nAnswer: m**(509\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2048 is divided by ((-40)\/60*25)\/(4\/(-6)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 3*(sqrt(170) - 2*sqrt(170)))\/((sqrt(200)\/sqrt(4))\/sqrt(5)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 666 - 1994 + 664 + 8*o**2 + 661.\nAnswer: 8*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1\/411, 0.32, 5\/9 in increasing order.\nAnswer: -1\/411, 0.32, 5\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 336 = 12 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92720032?\nAnswer: 2, 2897501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204687*f = 3*k - 204685*f + 135, -15*k - 675 = 4*f for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -968 + 5.\nAnswer: -963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 321 = j - 1267, 4*j - 3724 = 4*c. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 876236360 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -14*t**2 - 65 - t + 17\/3*t**3. Find the second derivative of u(g) wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-48)*(348\/(-203))\/(-6).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 28*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 3, k: 4}. Give prob of sequence gkkb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 537*u**3 + 2443*u**3 + 156*u**3.\nAnswer: 3136*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from {j: 2, p: 12, a: 5}?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 333721631 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 4. Let r(v) = v**3 - 7*v**2 + 6*v + 2. Let f be r(6). Suppose -f*u - p = -8, 5*p - 2*p = u - 11. What are the prime factors of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 21 + 18 + 3*j - 45.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12460)\/20025)\/(32\/(-576)).\nAnswer: 56\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q - 5. Let y(j) = -4*j + 6. Let g(d) = 5*h(d) + 4*y(d). Let u be g(1). Solve 3 = u*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 4*t + 50. Determine o(-12).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, d: 10, j: 6, r: 2}. Give prob of sequence xx.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-3))\/(15\/(315\/14)). Suppose 140 = 2*b + k, 2*b - t*k = 7*b - 347. Calculate the remainder when 351 is divided by b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -k + 3*h, 5*k - h = 4*k - 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*y + 400*y + 167*y - 341*y + 217*y as v + t*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((24\/(-1))\/144)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/1*(12 + 1595\/(-132)). Factor -8\/15*n**2 + j*n + 2\/15*n**3 - 4\/15.\nAnswer: 2*(n - 2)*(n - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 35. Let s = v - 0. List the prime factors of s.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 + i**5 + i**4)*(0 - 5 - 1).\nAnswer: -6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 146*g - 3875. Let c be i(25). Sort -5, 1, c, -1 in ascending order.\nAnswer: c, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6\/5)\/(b**(1\/5)*b) assuming b is positive.\nAnswer: b**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 428.022205 + -428. What is y rounded to three dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1673*n**3 + 11*n + 1292. Let k(a) = 3*a**3 + a - 3. Let h(f) = -c(f) + 13*k(f). Find the second derivative of h(m) wrt m.\nAnswer: -9804*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/((-76)\/16) + (0 - -1325) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -1\/24*o**4 + 0 + 1\/6*o**3 - 49*o**2 + 0*o. Let v(z) = -z + 5. Calculate 4*t(s) - v(s).\nAnswer: -3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103022 (base 4) to base 2.\nAnswer: 10011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 14 + 0*b**2 + 3*b + 21. Is c(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 13. Let z(u) = 4*u - 38. Let m(t) = -7*a(t) + 2*z(t). Let n be m(-10). Suppose 10*g - 390 = n*g. Calculate the remainder when g is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 4*w + 4. Let l(f) = -64 - 16*f**2 + 59 + 5*f + 11*f**2. Calculate 4*l(k) + 5*m(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.7 (b) -3 (c) 0 (d) -6 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -201869 less than -0.2?\nAnswer: 201868.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -9, 1, -1 in decreasing order.\nAnswer: 1, 0, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 11 - 140*x**2 + 6.\nAnswer: -140*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 6110*i - 1621296. Calculate z(-278).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 + 6 = i, 20 = 5*i. Suppose -422 - 543 = -o*h. What are the prime factors of h?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, d: 4, v: 4, x: 4, a: 4, g: 1}. Give prob of picking 1 d and 1 x.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 759*y**2 - 1311*y + 160572. What is l(-761)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 26*c**2 - 3*c + 2. Let g(v) = 77*v**2 - 10*v + 6. Determine -2*g(q) + 7*z(q).\nAnswer: 28*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 519464*w**3 - 1038942*w**3 + 519470*w**3.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -5, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/34565, -2, -0.192 in increasing order.\nAnswer: -2, -0.192, -4\/34565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*c**4 - 2*c**3 - 443*c**2 - 81338*c?\nAnswer: -540*c**2 - 12*c - 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) -83.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o**2 + 26*o - 77. Determine t(3).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 2*sqrt(567) - -3*sqrt(567)*-3) + -5)**2*4.\nAnswer: 4536*sqrt(7) + 111456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 12*p + 2. Let g be 2\/7 + (-6)\/21. Suppose -4*l + 48 = -g*l. What is the units digit of v(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + -3*(-1 + -1*sqrt(396) + -4 + -3)))**2.\nAnswer: 23400*sqrt(11) + 106000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1392 + -1374. What is the greatest common divisor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 64*p**3\/3 + 15*p**2 + 3*p + 3. Let b(r) = 21*r**2 + 10*r + 1. Let k(y) = 11*b(y) - 4*i(y). Suppose k(w) = 0. Calculate w.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 36*d - 34*d - 1201, 1243 = 3*g - 4*d. What is the smallest common multiple of 40 and g?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1327.\nAnswer: -3\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1287264, 1287217, 1287170, 1287123?\n\"Answer: -47*b + 1287311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-306*j - 335*j + 860*j + (5 + 3 - 5)*(-j - 1 + 1))*(-2 - j**2 + 2).\nAnswer: -216*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1028 - -1017. Let q(v) = -v - 20. What is q(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111122323 (base 4) to base 9.\nAnswer: -2561283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.462233853089 and 19.4.\nAnswer: 20.862233853089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 111, -12, 7674, 4 in increasing order.\nAnswer: -12, -1, 4, 111, 7674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*p**2 - 38*p**2 + 77*p**2)*(54*p - p + 2*p).\nAnswer: 2640*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 5)*(-1 + 1 + 2)*(9 + 18 + 5)*(b - b + 2*b).\nAnswer: -896*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8472*c**2 - 3. Let l(q) = 8471*q**2 - 2. Determine 3*l(y) - 2*s(y).\nAnswer: 8469*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/9, 4, 1, -1752, 6 in descending order.\nAnswer: 6, 4, 1, -8\/9, -1752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 7*w**2 + 6. Let g be s(7). Let u = -3 + g. Solve -y = -u*k + 9, 0*k + 3*y = 2*k + 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i**4\/3 - 2252*i**3\/3 + 2923*i**2\/3 + 5168*i\/3 = 0. Calculate i.\nAnswer: -323, -1, 0, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-15\/7))\/(t*t**(-5\/7)*t*t*t))**42)**(1\/45) assuming t is positive.\nAnswer: t**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3*a + 2357, 0 = -4*b + 17*a - 23*a + 2330. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*s + 5 = 0, 3*s = 4*s + 2. Let z = 3 - i. Let w be 0\/((-2 - -3) + 1). What is the closest to 0 in w, z, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 5. Let t be i(-16). Suppose -4*v + 76 = -2*x, -4*v + v - 2*x + t = 0. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005988 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.11005 and 7.03873402.\nAnswer: 7.14878402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1530813*q**2 + 3061631*q**2 - 1530815*q**2 - 23*q.\nAnswer: 3*q**2 - 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 + 33*k**3 - 8108 + 8108)*(-2*k + 3*k + 2*k) to the form y + v*k**2 + x*k + c*k**4 + m*k**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4599119 millilitres to litres.\nAnswer: 0.0004599119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r*r\/(r*r\/((r*r**39)\/r)))\/r)*r)\/(r*r**(2\/31)*r))\/(r*r**(-2\/19))**45 assuming r is positive.\nAnswer: r**(-46724\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23.68, 2\/13 in decreasing order.\nAnswer: 23.68, 4, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 50a1988 (base 11) to base 9\nAnswer: 17846818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**2\/2 + 33*s + 4. Let a be i(0). Suppose -3*f + 44 = -k, 3*f + 2*k = a + 5. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(242) - sqrt(242)*-1)*1 + -4)*1)**2.\nAnswer: -6336*sqrt(2) + 35424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - j - 1. Let l(w) = -9*w + 36*w**3 - 9 + 20*w**3 + 29*w**3 - 97*w**3. Determine l(n) - 9*q(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 600\/(-80)*(-1)\/(3\/2). Let k = 8 - 6. Let g(d) = -2*d**2 - 29*d - 9. Let j be g(-14). Solve w*i + j = -r - r, k*r = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 139*x**2 + 28*x + 22. Let i(m) = 46*m**2 + 9*m + 8. Determine 11*i(c) - 4*l(c).\nAnswer: -50*c**2 - 13*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 89, -454 in descending order.\nAnswer: 89, 10, -454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1459941 and -0.07.\nAnswer: 102195.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13263184.\nAnswer: 2, 11, 179, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -121 - -123. Find the common denominator of (-865)\/126 - v\/(-36)*4 and -27\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6725.78ml to litres.\nAnswer: 6.72578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10758*n + 5290*n + 3744 = -5372*n for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - o - 1)*(61*o**2 - 28*o**2 - 16*o**2)*(0*o**2 - 2*o**2 + 0*o**2 + (3 + o - 3)*(-1 + o + 1)).\nAnswer: 17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.2. Let f = 2.9 + d. Let n = 47\/4 + -11. Which is the biggest value? (a) -3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1483190 and -0.05.\nAnswer: 74159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.587887 and -0.4.\nAnswer: -3.987887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5853, -23291, -52353, -93039, -145349?\nAnswer: -209283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 18*r**2 + 2*r**3 + 17*r**2 - 4*r**3 + (-2*r**2 + 5*r**2 - 4*r**2)*(0*r - r + 3*r) - 5 + 5 - r**3 as l + s*r + k*r**2 + c*r**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 1131367326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) -2\/13 (c) 0.9 (d) 6\/35 (e) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kfkkkkkk. Give prob of sequence kk.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 + 2*y + 2. Let l be c(-1). Suppose -b - 4*i + 5 = 0, -b + 11 = -5*i - l. What is the common denominator of 17\/4 and 2\/(-16)*596\/b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 43, 29, 35, 67, 131, 233?\nAnswer: 379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 7. Let v be h(-3). Solve -v = -4*d + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**4\/6 - 11*d**3\/6 + 7*d**2\/2 - d. Is j(9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/4 + 87*j**4\/4 - 21*j**3 - 43*j**2 = 0?\nAnswer: -1, 0, 2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20055 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 83*u**3 - u**2 - 2*u - 1. Let r be l(-1). Let b = 49 - r. Suppose -n + b = 3*n. Calculate the highest common divisor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (65\/(-10) + (-1)\/(-2)). Suppose -2*w - g = -5, 0 = 4*w - 8*w + 2*g + x. Let p = 0.3 - 0.5. Which is the second biggest value? (a) 1 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (6\/3 + -34). Let p = t + -20. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -563748195 rounded to the nearest 100000?\nAnswer: -563700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 9193456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(448))*4 - (sqrt(448) + 5*(sqrt(448) + -2))**2) + (-1 + sqrt(448)*-2 + 0 + sqrt(448) + -5)**2.\nAnswer: -15748 + 1088*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 722203 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 156166065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2071935132?\nAnswer: 2, 3, 97, 1780013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n + n + 2*n)*(-1784*n + 0 + 1747*n + 3)*(4*n - 3*n - 3*n + (0*n + n + n)*(2 + 0 + 0) - 5*n - n + 3*n) to k*n + y*n**2 + q*n**3 + a and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1145 + -514. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 112 = -2*p. Suppose 0 = 5*m - y - p, m - 2 = -3*y + 5*y. Let q be 1\/3*3 + m. Put -2, 3, q in descending order.\nAnswer: q, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -f + 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -977496 and -22482389\/23 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6*(-78)\/(-8))\/((-39)\/(-104))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200 (base 6) to base 11.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -1 - -1) + 0. Suppose 0 = -n*g - 2, a + 5*g = 5 - 0. Let z = 36 - 11. Solve -4*j + 5*k - 12 = z, a = 5*j + 5*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5, -5*t + 4*w - 724 + 11419 = 0. Suppose 8*b = 10153 + t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + o - 5*o - 5 = 0, 4*z = o + 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28361590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.058? (a) 4 (b) -3 (c) -0.63 (d) -7\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 plus 435867?\nAnswer: 435750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4565 and 91782645.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -34254.11 to the nearest 1000.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.94 + -0.06. Let q = w + 4.966. Let l = q + 0.03399878. What is l rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-8)*(-207)\/12)\/(3\/(-1))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 820*i**2 + 25745*i + 227430.\nAnswer: 5*(i + 19)**2*(i + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -4 (c) -4\/7 (d) 1207 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3472720, -3472743, -3472766, -3472789?\nAnswer: -3472812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 + 796*g - 34217. Calculate z(49).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 5*m + 23 = 89*l, 3*m = 4*l + 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + 23. Let m be ((-16)\/(-6))\/(20\/x). Suppose -3*c + m*c = -2*r + 18, r - 126 = -5*c. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5487 and 885.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 2*d - 2. Let c be r(-3). Suppose 3 = j - m - 2, -3*j = -m - c. What is the remainder when j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375167100 divided by -109?\nAnswer: 3441900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 100330120?\nAnswer: 100330131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from bbbc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857234 less than 9857234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 140 + (-62 - (80 + -57))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 286146 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119\/74 + 1784\/1443. Calculate the common denominator of -35\/12 and b.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4820\/17 < -284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**3\/6 - 7*n**2\/2 + 10*n. Let h be v(10). Suppose h*c + 310 = 5*j, -j + 248 = 3*j - 2*c. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-18))\/((-2)\/(-4))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 + 39. Let i = 53353 - 53342.9988. Let a = s + i. What is a rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*g + 2*q, 6*g - 6 = g + 2*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 15*x**2 - 16*x - 25. Determine w(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26\/5 of a millisecond?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388812 divided by 129604?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or -18624907?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32\/12*66\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -0.1, 1\/4, 16106?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6*d. Let i(v) be the second derivative of -34*v**4\/3 + 525*v. Determine i(c(f)).\nAnswer: -4896*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -3*(2 + -1))\/(-2). Let v(q) = -13*q**3 + 22 + 6*q**2 - 27 - q**2. Let b(p) = 7*p**3 - 3*p**2 + 3. Calculate c*v(d) - 5*b(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2009 is divided by 913?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 131482813 at least as big as 131482812?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*((t*t*t**(2\/5))\/t)\/t)))\/(t**(-1\/6)\/t)*t**(-4)*t*t*t**(1\/8)*t*t assuming t is positive.\nAnswer: t**(323\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*o + 40, -4*z - z = -o - 134. Suppose -5*k + 54 = -2*i, 4*k = 3*i - i + 42. What is the smallest common multiple of k and z?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 3. Let o be f(3). What is the second derivative of 4*j - 8*j**o + 2*j - 10*j wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/70 and 53\/22.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 15*l**2 + 14*l - 5. Let f be t(-14). Let m(d) = d**3 - d**2 + 2*d + 3. Let z(u) = -u**3 - 3*u - 2. Let p(j) = f*m(j) - 4*z(j). Is p(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-4)\/14*148\/(-8). Let x = -3.98 + -0.02. Let n = 5 - 2. Which is the closest to g? (a) -1 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -610*w - 1356. Give k(-3).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186896 is divided by 409.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*w**2 + 533*w**2 + 2425*w**2.\nAnswer: 2855*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 13*g - 252. Determine x(25).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3 = -0*u. Let y be ((0 - -1)*-5)\/u. Suppose 0*q = -y*q + 90. Is 8 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 12*i + 16. Let k be s(8). Calculate the greatest common divisor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 19. Suppose 0 = 3*k - b*l + l - 10, 3*k - 2*l = 13. Suppose 5*r = 29 + 11. Calculate the lowest common multiple of r and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 780857885916\/318156081133 - -332\/69149333. Let w = 115\/288 + -529403\/1325088. Let j = w - b. Find the common denominator of -50\/7 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -108, -266, -488, -774, -1124, -1538?\n\"Answer: -32*x**2 + 2*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 15 = -5*g, -6*h - 58*g + 59*g + 3 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16830664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1271375248*j**2 - 1245761847*j wrt j?\nAnswer: -2542750496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -451 - -665. Let d = j - 111. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527556 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:38 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -4)\/(2\/(-436)). Let r = g + -471\/2. Find the common denominator of r and 41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*q - 36*q - 19*q - 13*q - 67*q.\nAnswer: -226*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**3 - 2*p**2 - 2*p - 1. Let z be c(-2). Let m = z - -46. Suppose g - 23 = -4*l, 4*g - 5*l = -15 + 2. Solve -5*w + g = -m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1980213553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 41*x + 41*x - 81*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 + 190. Let m(u) be the first derivative of u + 0*u**2 + p - 5\/3*u**3. What is the first derivative of m(n) wrt n?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*x - 5*d + 5, x - 5 = 5*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0148323 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 384\/9725?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -10. Suppose 0 = -3*b - 2*p - 2*p + 13, 5*b - 18 = -3*p. Calculate the remainder when g is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((8\/7 + -1)*22\/22).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9.46, -5, -0.025, -1\/539, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -28511*p - 83218. Calculate k(-3).\nAnswer: 2315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3411656 divided by 1592?\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 13*b**4 + 2 + 12*b**4)*(b + 0*b + 0*b).\nAnswer: -b**5 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 13*u**2 + 8. What is h(-9)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 74221 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*w - 29*w + 81. Let p(z) = -16 - w*z**2 + z + 15 + 28*z**2. Calculate p(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -421 + 752. Let t = -205 + s. Let q be (72\/14)\/(27\/t). Solve 4*b - 5*h = 33, 0*b - q = -2*b + 4*h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d. Let p be k(-1). Let r be (5 + -9)*(-1)\/p. Which is the nearest to -3? (a) 0.2 (b) -3\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 771863252*w**2 - 1 + 1 - 771863908*w**2.\nAnswer: -656*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -10, 0.5, 0.0009?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48093*b**2 - 380*b*p + 176178655*p wrt b?\nAnswer: 96186*b - 380*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*1*sqrt(325) + 2 + ((sqrt(78)*1 - sqrt(78))*2)\/sqrt(6) + 0 + -1)**2.\nAnswer: 60*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + -101?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4 + 76822*n**3 + 40699050*n**2 + 7143771250*n + 417345250000 = 0.\nAnswer: -175, 38936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-911248)\/(-2022)*(-18)\/(-78).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -4*f - 6 + 3 + 2*f**2 + 4. What is the least common multiple of 1 and c(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 190, -3, -2\/21, -0.3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 325 = 2*w, -w - a + 635 = 3*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 775 + -775. Sort 5, 13, -4, y.\nAnswer: -4, y, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o + 8. Determine a(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -56, -3, -4, 4 in descending order.\nAnswer: 4, -1, -3, -4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1113 and 22\/5353?\nAnswer: 112413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -35*o - 2. Let x be (2 - 10)\/1 - (0 + -3). What is the units digit of u(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19984968 divided by 24.\nAnswer: 832707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 32 - 16. Suppose 0 = -r + s + 3*s + 16, -4*r - 3*s = -7. Suppose 5*x + y - q = -y, r*x = -y + 9. Solve -6 + 0 = -x*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -29*s - 2. Let i(t) = -14*t - 1. Let q(l) = -l**3 + 53*l**2 - 359*l - 34. Let n be q(45). What is n*i(p) - 6*v(p)?\nAnswer: 20*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s. Let w(y) = -15*y**2 - 36*y + 8. Let t(h) = -2*h**2 - 4*h + 1. Let v(l) = 24*t(l) - 3*w(l). Calculate v(a(j)).\nAnswer: -3*j**2 + 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -123492*-0.164\nAnswer: 20252.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -37. Let c(k) = 6*k**5 + 6*k**4 - 25*k**3 - 5*k**2 + 40*k - 19. Let i(l) = -l**5 - l**4 - 1. Let a(t) = v*c(t) - i(t). Let a(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.03261 nanograms in kilograms?\nAnswer: 0.00000000004403261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8 and -49\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -5 (b) -4 (c) 2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 111*y**7 - y**4\/4 + 212*y**3 + 171. Find the third derivative of c(o) wrt o.\nAnswer: 93240*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 513 (b) 785 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j + 4*j - 11*j)*(j**2 - j**4 - j**2)*(0 + 6 - 4).\nAnswer: -6*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 1. Suppose 2*f = -4*s + 14, s - 20 = -5*f + 6*s. What is the remainder when f is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 14. Let w be r(-12). Suppose -d + 839995 = -g - w*g, 0 = -5*g - d - 1400005. Round g to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 2*w - 1. Determine d(-4).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -37\/3185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27814*i = 33240*i + 282152 for i.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6884610*v. Let g(k) = 6*k**2. Calculate g(a(w)).\nAnswer: 284387129112600*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 28 = 4*w - 5*r, -w - 4*r = 12. Suppose 0 = 6*v - 2*v - 4, -w*g = 4*v - 68. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58215949?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 3:44 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a gram in milligrams?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/202, -2\/13, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:37 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, t: 6, o: 7}. Give prob of picking 2 o, 1 t, and 1 z.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -46*x**3 - 7*x - 7. Let j(a) = 0*a - 13 + 2*a - 22 + 15*a**3 + 37. Determine 7*j(c) + 2*o(c).\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 346?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-26))\/c**(2\/27))**(4\/19))**(-6))**(-12) assuming c is positive.\nAnswer: c**(23264\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 48 = -40*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5*f**2 + 7*f. Let x(r) = 0*r - r + 4*r**2 - 3*r**2. Let t(u) = -j(u) - 6*x(u). Let k be t(-1). Solve b + b = k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, 17, -2, -0.2, 22, 41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 37927, -9.\nAnswer: -9, -3, 37927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**2 + r + 8. Let g = -1 + 3. Let z(j) = -j**2 - j + 1. Let k(t) = g*z(t) - v(t). Factor k(l).\nAnswer: 3*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m + 658222 - 658222. Let i(t) = 35*t**2 + 2. Give i(q(x)).\nAnswer: 3500*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -100 + 8 + 30\/5. Let x = -256 - l. What is the second smallest value in 4, x, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 347.108 kilometers to millimeters.\nAnswer: 347108000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w - 17 - 231 = 0. What is the smallest common multiple of 72\/27*(14 + w) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2695 and -46\/245?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -23760 rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.69, 8\/83, -0.1?\nAnswer: 8\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 16, -2, 24, -325 in increasing order.\nAnswer: -325, -2, 5, 8, 16, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:47 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 7:29 PM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 172022, 168015, 164008, 160001, 155994?\n\"Answer: -4007*g + 176029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46620)\/1665*(3\/24)\/(3\/4).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 18084*p**2 + 18086*p.\nAnswer: -2*p*(p - 1)*(p + 9043)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91 - -93. Suppose 4*s + 130 + 252 = 2*z, b*z - 380 = 3*s. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36342 + -55?\nAnswer: 36265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) -2\/13 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53484 rounded to two decimal places?\nAnswer: -3.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 100 and 90586307.9461.\nAnswer: 90586407.9461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 1. Let c be u(-3). Let y be c + -12 - (-9 + 1). Suppose -y = -10*j + 8*j. Put 4, 7, j in decreasing order.\nAnswer: 7, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5310499573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2641 (base 8) to base 2.\nAnswer: -10110100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 336*w**3 + 147*w**2\/2 - w + 67. What is the second derivative of z(n) wrt n?\nAnswer: 2016","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -63881801 to the nearest one hundred thousand.\nAnswer: -63900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/((-12)\/(-3)*2\/(-4)). Is u <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 11. Let l = 36 + w. Suppose f - 427 = -l*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.049, 3\/8, 4\/3, -8 in descending order.\nAnswer: 4\/3, 3\/8, 0.049, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2684 + 44.6936. Let h = 9.7 - -35.3. Let o = h - w. What is o rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5656726678 and 0.4?\nAnswer: 5656726677.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpddfddhdmfp. What is prob of sequence hfp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = w + 11701, -6*o + 6*w = -9*o + 8742. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 15 = -5*j, -24 = 5*j - 3*j + 4*m. What is the remainder when 652\/20 - j\/5 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 51 + (0 + 1 + -7 - (-22 + 17))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 317 - -5?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**22*s*s**(-1\/65) assuming s is positive.\nAnswer: s**(1559\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 453957659, 907915318, 1361872977, 1815830636, 2269788295, 2723745954?\n\"Answer: 453957659*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i - 6. Let z(k) = -7*k**2 - 3*k + 12. Let l(u) = -16*u**2 - 5*u + 20. Let n(v) = 3*l(v) - 5*z(v). Calculate n(m(q)).\nAnswer: -208*q**2 - 624*q - 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of r**5\/10 - r**4\/2 - r**3\/3 - 5*r**2 - 3*r - 25. Calculate the remainder when 276 is divided by a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 + 63*u - 159*u - 1 + 75*u + 2*u**3.\nAnswer: -2*u**3 - 21*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.045 - -0.045. Let u be 3 - 5 - 64\/(-33). Let f = -29\/66 + u. Which is bigger: i or f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1832 + 1832 + 1236*t**2.\nAnswer: 1236*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 161189431.7694 and 0.69.\nAnswer: 161189432.4594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-0.9.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Suppose 3*t + 2 = -r*j, 5*t + 0*j + 7 = -3*j. Let z(f) = 38*f**2 + 3*f + 3. Is z(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 8 = 5*u. Let x = 19 + -131\/7. Factor -x*l + 4\/7*l**u + 0 - 2\/7*l**3.\nAnswer: -2*l*(l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 0*c + 0 + 0*c**3 + 0*c**4 + 1\/30*c**5 - c**2. Let n(t) be the first derivative of 5*t**2\/2 + 274. Determine o(n(m)).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 39 = 3. Let i(w) = 3*w**3 - 15*w**2 + 7*w + 1. What is the tens digit of i(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 p, and 1 k when three letters picked without replacement from {p: 1, m: 1, q: 1, f: 2, r: 1, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w + 10*w + 7 - 5)*(-3*w + 5*w + 0*w) in the form x + t*w**2 + o*w and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1346*j**2 - 5*j + 4. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l + 2 = 0. Let w(j) = j**3 + j + 1. Let h be w(0). What is the greatest common factor of l and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n**0\/n)\/n)\/n)*n)**(-11\/6)\/(((n\/n**(-1\/5))\/n)\/(n\/(n**4\/n))))\/((n\/(n*n\/(n**(-1\/3)\/n*n)))**(-18\/13))**(-3\/34) assuming n is positive.\nAnswer: n**(-74281\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2 + 2*u + 7. Let p = -14 + 9. What are the prime factors of d(p)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.77 + -4.77. Is 5.3 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:43 AM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4 + 860922*y**3 - 7748406*y**2 + 23245326*y - 23245380 = 0.\nAnswer: -430470, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -629 and -5.6619?\nAnswer: 3561.3351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0.3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((((l*l\/l**17)\/l)\/l)\/l))\/l)\/l**7 assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173, -791, -1819, -3257, -5105, -7363?\n\"Answer: -205*j**2 - 3*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 46*i + 4. Let b be c(1). Suppose -4*d = -134 + b. Calculate the remainder when d is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24344039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 467546.1ng to grams.\nAnswer: 0.0004675461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k. Let d(g) = -10*g**2. Let a(z) = -z**2. Let f(c) = 3*a(c) + d(c). Determine t(f(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*o + 9 = -6, 11 = -2*y + 5*o. Let h = -27 - -22. Let c = -2 - h. Solve c*r = 4*q - 2*q - 9, y*q + 3*r = -9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:09 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2271521.70823 less than -0.2?\nAnswer: 2271521.50823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*y - 18*y - 78 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 11*k**2 + 14*k - 5. Suppose 4*u - 27 = 25. Let b = 23 - u. Let t be y(b). Calculate the greatest common factor of t and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70 + (9 + -1 - (37 - (-9 + 35)))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 325, 380, 435?\nAnswer: 490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 5*m**2 - 2*m - 2. Let g = 18 + -15. What is q(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6.4. Let p = -3708 - -3711. Which is the second biggest value? (a) u (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(187) - -1*sqrt(187)*-4)\/(sqrt(11) + sqrt(44)\/(sqrt(4)*-2)).\nAnswer: -6*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2032322 (base 5) to base 14\nAnswer: -c2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 3 + 5)*(-2*z - z + z) + z - 4 + 4 - 5*z + 0*z + 3*z)*(10*z**3 - 29*z**3 + 4*z**3) as n*z**4 + p*z**3 + a*z**2 + r*z + b and give n.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1942549 or 1942550?\nAnswer: 1942550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-3)*102\/(-34). Let g(w) = 28*w**2 + 2*w + 5. Let d be g(-5). Suppose -t = u*t - d. What are the prime factors of t?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 19*r**2 - 18*r - 1. Let o be 38\/133 + 372\/21. Let t be a(o). Put t, 113, 3 in ascending order.\nAnswer: t, 3, 113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -l + 2. Let n be (l - (-4)\/(-8)*-6)\/1. Does 25 divide 73 + (3 - -1 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*i + 214 + 951 + 3343 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 37, 47, 53, 55, 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 8, -u + 3*g - 14 = 5*g for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, v: 2, k: 1, b: 1, m: 4}. What is prob of sequence bkm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + 5*z + (3 - 3 + 2)*(-5*z + 4*z + 2*z) - 3*z + 2*z + 0*z)*(-3 + 7 + 2) - z + 2*z + z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 13*i + 602. What is o(32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6067*c**3 - 3119*c**3 - 3084*c**3.\nAnswer: -136*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 508.579911 seconds?\nAnswer: 0.0008409059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -851?\nAnswer: -85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*r + 7*r. Suppose 8 = -4*k, -r*t + 31 = t - 2*k. Calculate the remainder when t\/(-12) + 158\/8 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f**2 - 25*f + 25. Let a(q) = -q**2 - 13*q + 13. Let y(l) = 11*a(l) - 6*d(l). Let g be y(-8). Let b be (1 + 2)\/(-3)*(-12)\/288. Does b = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -14*d + 10*d - 8, -5 = 5*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*q - 1684 = -525*q - 18624 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1750353499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139772, -279530, -419258, -558944, -698576, -838142, -977630, -1117028?\nAnswer: -1256324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2284 - 2295. Let u(d) = d + 0*d + 2*d - 2 + 7. Let o(r) = -r - 2. Calculate q*o(j) - 4*u(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + w**2 + 3*w**2 - 18 - 5*w**2 in the form p + i*w**2 + v*w and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*b*l - 516*b*t**2 - 2*l*t**2 - 10*l*t - 3 wrt l?\nAnswer: 71*b - 2*t**2 - 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95568816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -51. Suppose -c - 60 = -7*v. What is the highest common factor of 182 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 13) to base 16\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.78 and 9?\nAnswer: 11.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 1083852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 45*y**2 - 18*y - 27. Let r(p) = 11*p**2 - 4*p - 6. Let d(z) = 18*r(z) - 4*u(z). Let i(h) = -10*h. Calculate i(d(o)).\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 2 - 0\/6. Let n be v\/(-7) - (-19)\/(-14). Which is smaller: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**3 - 6*f**2 + 4*f - 2. Let x = 84 - 80. Let n(g) = -23*g**3 + 13*g**2 - 10*g + 5. Let l(j) = x*n(j) + 10*h(j). Solve l(m) = 0 for m.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4736 and 53983.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 4*o + 6. Let h be l(-6). Let w(s) = s**3 - 1. Let m(t) = 21*t**3 + 6*t**2 - 3*t - 24. Let n(x) = h*w(x) - m(x). Solve n(y) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (4 + 20 - 20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15606 + 9425. Which is greater: z or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14\/3, 2\/9, -5, 6, 11, 0.2, 16\/13?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 12*w - 9. Calculate r(6).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (3 - 11 - -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8 + 4*d - 1 + d**2 + 3. Let q = -23 - -18. Determine p(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.3 + -28. Let o = 53399247.30000018 + -53399245. Let p = h - o. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13243.\nAnswer: 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11685\/8 - -1464. Find the common denominator of z and -37 + 43 - 154\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 7*d - 10. Let a be v(-3). Let u(s) = 7*s**2 - 5*s + 2. What is the tens digit of u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**2)**(-3\/17)\/((b*b**2)\/b)**(4\/9) assuming b is positive.\nAnswer: b**(-109\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + c**3 + 0*c**3 + (-2 - 2 + 2 + 2*c**2)*(-139 + 139 + 24*c).\nAnswer: 50*c**3 - 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 99*n + 735*n + 523*n + 43*n in the form o*n + x and give o.\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n + 4. Let i(s) = -1. Let v(b) = -6*i(b) + w(b). Is 8 a factor of v(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 + 99. Let r be (-9)\/(-15) - (-6)\/p. Sort -4, r, -7.\nAnswer: -7, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234704*l - 151 + 45 + 45 + 61.\nAnswer: -234704*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*y - 472*y - 163*y - 2*y**2 - 195*y + (0*y + 0*y - 2*y)*(-3*y - y + 2*y) + y**2 + y**2 - y**2 in the form u + g*y + l*y**2 and give g.\nAnswer: -917","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 0*k**3 + 17380*k**2 - k**3 - 5 - k - 17391*k**2. Determine t(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 7 (b) 0.5 (c) 0.3 (d) -2\/29 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 54567899 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 4818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29930290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.3 + -2.23. Let r = -2.93 - h. Which is the third smallest value? (a) r (b) 0.5 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1091 - (-190)\/(-19))\/(-1). Which is the closest to p? (a) 1 (b) 5\/6 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*r + 64*r - 40*r + 186*r**2)*(0 + 0 - 2*r + (2 + 1 - 1)*(2 - 2 - 2*r) + 9*r - 2*r + 4*r) to the form f*r**3 + z*r + b*r**2 + p and give f.\nAnswer: 930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(28)\/sqrt(4) + sqrt(7) + (4 + (0 + sqrt(7))**2 - sqrt(7)))*-6 - 2*(6*sqrt(252)\/sqrt(4))\/sqrt(9))*6.\nAnswer: -396 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1580.0367 months to millennia.\nAnswer: 0.131669725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + o - 2 - 4 + 8*o. What is the remainder when t(7) is divided by (1*-1)\/((-3)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/4 - 0. Is (0 - 2) + c + 46 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-108 + -9) - 135?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8838 and 99?\nAnswer: 97218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36397 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7808802051 to the power of 1\/3, to the nearest integer?\nAnswer: 1984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5351 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*h - 4 = 36*h. Let t = 2201\/7 + -315. Put t, h, -1 in decreasing order.\nAnswer: h, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.294677 rounded to two decimal places?\nAnswer: 1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = 5*l + 4*r, -4*l + l + 106 = -r. Calculate the least common multiple of l and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 5)*(3*d + d + 2*d) + 0 + 0 - d to the form m*d + r and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39369 + 147381 = 3*t. Suppose -5*h = 4*i - 72005, 0 = -3*i + i - 4*h + t. Round i to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196 - 475*v + 97 + 99 + 3*v**2 + 139*v.\nAnswer: 3*v*(v - 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1103\/441673?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -20*f**3 + 47*f**2 - 39*f + 44. Let d(u) = 7*u**3 - 16*u**2 + 13*u - 15. Let q(k) = 6*c(k) + 17*d(k). Is q(8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -154*g**4 - 269*g - 3. Let u(m) = -2*m**4 + m + 1. Let y(j) = -2*b(j) - 6*u(j). Find the second derivative of y(c) wrt c.\nAnswer: 3840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 7*i**3 - 4*i**3 + 0*i**3.\nAnswer: 3*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 482*p**3 - 9*p**2 + 9*p + 93. Let u(j) = 481*j**3 - 10*j**2 + 10*j + 104. Give 10*a(n) - 9*u(n).\nAnswer: 491*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 21*i - 150 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -460, -935, -1586, -2413, -3416, -4595?\nAnswer: -5950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4074260 to the power of 1\/2, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((1\/(-3))\/(795\/(-8109))).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Solve 12 = -w + 5*k, -2*w + 0*k + 5*k - 9 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:43 AM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15065369158.50286 - -15065154866. Let j = r + 214296. Let p = j - 3.5. Round p to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -12*c**5 + c**4 - 141*c - 4. Let z(u) = 25*u**5 - u**4 + 282*u + 9. Let k(b) = 9*s(b) + 4*z(b). What is the second derivative of k(n) wrt n?\nAnswer: -160*n**3 + 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -31\/6, 2\/5, 1.\nAnswer: -31\/6, 0.1, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/11)*a**(1\/5)*(((a\/a**(-2))\/a*a)\/a)\/a*a\/(a\/(a**(-1\/12)*a)))\/(a**(-1\/10)\/a**5*a**(-4\/9)*a**(-5)*a) assuming a is positive.\nAnswer: a**(25249\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7\/1*(-27)\/((-2835)\/285)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 30, -1, -70, 1 in descending order.\nAnswer: 30, 1, -1, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-108)\/(-10))\/3)\/((-123)\/(-18450)*480)\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4483398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c**5\/5 - 2851704*c**4\/5 + 75304947162*c**3\/5 - 351368906436*c**2\/5 + 209144711043*c\/5 - 33462950988\/5 = 0.\nAnswer: 1\/3, 4, 52807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 1. Let j(t) = t**2 + 9*t - 18. Let d(f) = -4*g(f) - j(f). What are the prime factors of d(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n + 9*n - 78 = 0. What is the third derivative of -138*v**3 + 2*v**2 + 119*v**n + 61*v**3 + 2*v**2 wrt v?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-2.5.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 39 = 3*s, 2*s - 3*s + 7 = s - 0*s + 33 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274752 = -4792*b + 4739*b. What is the greatest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**3 - 9*b**2 - 3*b - 5. Suppose 0 = -4*v + 454 - 202. Suppose -11*h = v - 8. Let t(u) = -5*u**3 + 10*u**2 + 4*u + 6. Determine h*t(c) - 6*i(c).\nAnswer: c**3 + 4*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/12 + 3*u**2. Let s(i) be the first derivative of -i**3\/3 - 5. Calculate s(q(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5450 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -1) + (80 + -49 - (-23 + -26))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2469*m**2 + 156*m - 51*m**3 - m**4 - 1560*m - 2973*m**2.\nAnswer: -m*(m + 6)**2*(m + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 440 divided by 5.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -16*a - 36. Let s be (-2)\/10 - (-78)\/(-10). Let j be (-15)\/a - (-2 - 28\/s). What is the highest common factor of j and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -27. Are i and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 3*j**5\/20 + 11*j**4\/4 + 761*j**3\/3 - 2*j - 31. Find the second derivative of x(p) wrt p.\nAnswer: 18*p + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 162, 286, 460, 684?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 61937*s + 742988. Determine r(-12).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3. Let d = -6 - 3. Let z(t) = t - 13. Calculate d*u(f) + 2*z(f).\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiz when three letters picked without replacement from lpzzpiiiiilli?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 22302?\nAnswer: 22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13362 and 6351797?\nAnswer: 647883294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*t - 7*a*n*t**2 - 130*a*n*t - 4*n*t + 2*n + 117*t**2 with respect to a.\nAnswer: 4*a*t - 7*n*t**2 - 130*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*q + q - 5 = 0, 3*q = v + 12. Let j be 2 - 0*(-3)\/6. Factor z**v - 3*z**3 + 31*z**2 + 6*z - 36 - 23*z**j.\nAnswer: -2*(z - 3)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = -18. Let w = -11.4 + 17.4. Let s = 6.3 - w. Which is the nearest to -0.1? (a) h (b) s (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 5039.\nAnswer: -2015.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53751 and 434723?\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 4, n: 11, z: 1, h: 1}. Give prob of sequence lnh.\nAnswer: 11\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -6*s. Let w(y) = -5 - 11*y**2 + 7 - 5 + 13*y**2. Calculate w(t(z)).\nAnswer: 72*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/797, 5, -5, -1.6 in decreasing order.\nAnswer: 5, 6\/797, -1.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*n + 3484796 = -44*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 + -163. Let q(s) be the third derivative of 1\/2*s**3 - 5\/24*s**4 + 0*s + 1\/120*s**6 + 7*s**2 + 1\/15*s**5 + 0. What is q(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1840 - -6179. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*n + 45, 0 = 4*q + 4*n - 7*n - 65. Let c = 67 - q. What is the common denominator of (-4)\/22 - c\/44 and 15\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -29, 5, 1, -5 in increasing order.\nAnswer: -29, -5, 0, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 6 - 6 = 0. Suppose 4*i - a = 12, -4*a - 20 = -3*i + b. Calculate the least common multiple of i and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2569 by -4.\nAnswer: 2569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261903 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.36 in 5, 3, -508?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + (4 - 0))*1*-2. Solve 0 = 4*l - j - 23, 3*l - c - 15 = 4*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 666271 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -138?\nAnswer: -5\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoeoeoe. What is prob of sequence oe?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543505 is divided by 344.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 57 - 43. Suppose -w = -p + 2. What is the remainder when p is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 9*h + h - 5*h - 2*h. Let k(x) = -12*x - 12. Calculate k(i(q)).\nAnswer: -24*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*x = -x, -5*q - 5 = -5*x. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1577268 and 882?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/102265 and -65\/11074.\nAnswer: 10021970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15879540, -15879541, -15879542, -15879543, -15879544, -15879545?\n\"Answer: -a - 15879539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*f + 523*f + 7330 + 25084 = -1876 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3908119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*r - 43674 = 51*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (4\/(-42) - 4520\/1050)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2 - 162. Let y(g) = -g**3 - 9*g**2 + 6*g - 20. Let m be y(-10). Let i = c - m. Calculate the greatest common divisor of 8 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - 3*q**2 + 3*q - 3. Let h(t) = 11*t**3 - 5*t**2 + 5*t - 5. Suppose -b + 1 - 4 = 0. Give b*h(m) + 5*v(m).\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567) + 1.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255891400 - -374387278. Let b = h - 118495847.0000065. Let d = b + -31. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -4 (b) -1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -159936*y**2 + 532004 wrt y.\nAnswer: -319872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**5\/10 + t**4\/6 - t**2\/2 + 135*t. Suppose 3*s - 11 = -38. Let v be -5 + 2\/((-6)\/s). Determine w(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24920, 99492, 223778, 397778, 621492, 894920, 1218062?\nAnswer: 1590918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1029 + -837. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 4:43 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 2*i - 33, -x + 21 = -4*i. Solve 4*d - x*y + 13 = 0, 37 = 3*d + d + 5*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3603777 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/4508 and -127\/20838.\nAnswer: 2042124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-7)\/(126\/45)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(-5\/6)*m)))\/m**(-36) assuming m is positive.\nAnswer: m**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 13*h**2 - 21*h - 10. Let y be a(11). Solve r - y = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + 8285?\nAnswer: 8343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/2 - 573*c**3\/2 + 14031*c**2 + 21216*c - 9726288 = 0. What is c?\nAnswer: -22, 52, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 270186379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21*(-5)\/30*1404\/546?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 965035, 1930069, 2895105, 3860143, 4825183, 5790225?\n\"Answer: w**2 + 965031*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5815 = -k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2112)\/(-7920))\/(3\/(405\/114))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/5 + -9*7\/84. Let n = 2.5 - -0.5. Which is the nearest to n? (a) 0.2 (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -784 + 76 = -6*q. List the prime factors of q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -437498*i**2 + 15*i - 8. Let p be t(-8). Round p to the nearest one million.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k - k + 2*k)*(0*k**3 - 4*k**3 + k**3 + (-5*k + 2*k + 4*k)*(0*k**2 - 2*k**2 + 3*k**2) - k**3 + 6*k**3 - 2*k**3).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70749, 7, -3 in descending order.\nAnswer: 70749, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -317*s. Let r(l) be the second derivative of -l**4\/12 - 148*l. Determine c(r(j)).\nAnswer: 317*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/103 not equal to 0.02193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/922987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 - -313. Suppose 5*f = -2*z + 33, -5*z + f - 4*f = -x. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 7, j: 9, p: 1}. Give prob of sequence pjq.\nAnswer: 7\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c**2 + 357*c - 1. Let z(n) = -14*n**2 + 1072*n - 3. Determine 11*o(p) - 4*z(p).\nAnswer: p**2 - 361*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 + 22*y**2 + 2*y + 30. Determine t(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9329 is divided by 232?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, k: 1, s: 4}. Give prob of sequence kb.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005507 to 5 dps.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*r**3*u - 3*c*r + 2*c*u**2 + r**3 - 5*r**2 with respect to u.\nAnswer: -3*c*r**3 + 4*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnjsp. Give prob of sequence bsn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 238, -1, -3 in decreasing order.\nAnswer: 238, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - d + 95 = -2*d, -5*k + 155 = -5*d. Let w(t) = 3*t**2 + 2*t - 4. Calculate the remainder when k is divided by w(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027229 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -35*c + 11. What is h(3)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-6 - (-2 + 5)) + 14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*z + 68*z - 2000*z**3 + 2091*z**3 wrt z.\nAnswer: 546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzqpozqqzzq. What is prob of sequence qzpz?\nAnswer: 5\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1007045 * -0.158\nAnswer: 159113.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/(r*r*r**1*r))))**20*((r\/(r*r\/(r*r**4*r)))\/r*r)\/(r*r**(-2\/15)) assuming r is positive.\nAnswer: r**(-838\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/2 - 1749*c + 479765\/2 = 0.\nAnswer: 143, 3355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -110*g**2 + 1848*g + 396. Let w(c) = c**2 - 14*c - 3. Let l(m) = 132*w(m) + x(m). Let n(p) = 2*p**2 - 2*p**2 + 18*p**2 - 4*p**2. Calculate n(l(h)).\nAnswer: 6776*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4884042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -642, -843, -1058, -1293, -1554, -1847?\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -10 - 2. Suppose 2*u + 10 = -2*x + s*u, x - 3*u = -15. Let g be (-1)\/(-2)*-2 - -4. Solve g*p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 585 + 193. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3 - 10*k**2 - 9*k = 0. What is k?\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*c, 9*m - 19 = 12*m - 5*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.1 - -7.5. Which is bigger: -0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:29 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-22))\/(62181\/(-101332))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 77. Solve r - 2*k + l = 0, k - 35 = -5*r - 4*k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*s**4 - 85*s**2 + 2321*s.\nAnswer: 552*s**2 - 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 - 82 - 10*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*o - 2*z, 2*o - 7 = -z - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvttrg. Give prob of picking 1 g, 1 v, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -164, 4, -23, -10572 in decreasing order.\nAnswer: 4, 1, -23, -164, -10572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1939108537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 1020*g**2 + 2068*g - 3084.\nAnswer: -4*(g - 257)*(g - 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and -0.01276.\nAnswer: -0.05276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 90. Let h be 8\/(-6)*c\/10. Let y = -1 - h. Solve -y - 1 = 3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 2555355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.246193 - 3?\nAnswer: -12.246193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 601369931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3050 and -163\/5490.\nAnswer: 27450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.82 + 27. Let n = l - -0.12. Let v = -76\/5 - -15. What is the second biggest value in -2, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**4\/4 - 225. Let f(g) = -10*g**3 + 2*g + 1. Give -f(w) + 3*p(w).\nAnswer: 7*w**3 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122136151 and 0.09.\nAnswer: -10992253.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**3\/3 - 1. Let n(h) = -h - 4*h - h + 5*h. Calculate k(n(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 1\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 9. Let w(v) = 2*v + 5. Let g(i) = -6*u(i) - 11*w(i). Let f(r) = 5*r + 1. Suppose 0 = -j - 0 + 4. Determine j*g(l) + 3*f(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 t, and 1 v when four letters picked without replacement from {v: 1, t: 2, y: 1, q: 10, u: 4}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-132)\/15)\/((-6)\/(-45)). Let t = 91 - f. List the prime factors of t.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162098?\nAnswer: 2, 81049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 - 85*a**2 + 176*a + 8699. Calculate c(-42).\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 4*y + 20. Let o = -0.14 - -0.44. Which is the third biggest value? (a) y (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68 - -54. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-10)\/x)**(-39)*(x*x**(1\/27)\/x)\/x*x\/(x\/(x\/(((x**15\/x*x)\/x)\/x)*x)*x))**(2\/11) assuming x is positive.\nAnswer: x**(20360\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/3, -4\/5, 0.317406?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 4*z - 5*v, 2*z = -3*v + 16 + 55. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 293\/5, 0.4, 29 in increasing order.\nAnswer: 0.4, 5, 29, 293\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -f**7\/504 + f**5\/10 - 5*f**4\/6 - 3*f. Let k(c) be the third derivative of m(c). What is the first derivative of k(j) wrt j?\nAnswer: -10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837447301.\nAnswer: 3, 13, 389, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i**(2\/13)*i**(-2\/23)*(i\/(i\/i**1))\/i*i)**42 assuming i is positive.\nAnswer: i**(22092\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 12*s - 97. Let b be d(-20). List the prime factors of (-15 - -10) + (b - 4).\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3, -5, -23, -69, -155, -293?\n\"Answer: -2*p**3 + 4*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 7:26 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -k**7\/7 + 4*k**3\/3 - k. What is the second derivative of v(u) wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - w - 535, -2*l - 3*w - 366 = -4*l. Let c be (-4)\/10 - l\/(-5). Let r be ((-15)\/c)\/(3\/(-2)). Sort -1\/3, r, 4 in descending order.\nAnswer: 4, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - z + 0 + z + z + z - z - 3 + 3 + 5 - 5 - z - 4*z + 2*z + 0*z + (3 + 3 - 4)*(z - 2*z + 0*z) + 0 + 0 - 2*z + 2*z + z - 5*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-12 - -12) + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234*j**3 - 23870*j + 23870*j)*(j**2 + 3*j**2 - 3*j**2) - j**3 + j**3 - 2*j**5.\nAnswer: -236*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540559 divided by -39?\nAnswer: 3540559\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32671 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*o + 2607*o - 670*o - 554*o - 721*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389907388, 779814779, 1169722170, 1559629561, 1949536952, 2339444343?\nAnswer: 2729351734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:13 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1041.\nAnswer: -1\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28733, -28053, -26147, -22403, -16209?\nAnswer: -6953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 97, 99, 115, 151, 213, 307, 439, 615?\n\"Answer: w**3 + w**2 - 8*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 21*t + 52. What is the units digit of c(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9\/86 - -630\/473. What is the common denominator of p and -101\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -89 + 86 + -38.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - 0.4. Suppose -2*v + 17 = -5*i - 3, 0 = -5*v + 5*i + 20. Let h = -241 - -1931\/8. Put h, v, z in descending order.\nAnswer: h, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 3*l**2 + 5*l + 6. Let g be h(-4). Let v(n) = 4*n - 9*n**g + 7*n + 9 - 5*n**2 - n**2. Let a(o) = -7*o**2 + 5*o + 4. Give 13*a(q) - 6*v(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1083 + 1074. Let j be 1\/4 - (-99)\/(-12). Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 2*n + 8 + 4*n - 4. Calculate t(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 4*k - 20 = 0, 0 = 3*l - 2*k - 0 - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 259 (c) -2650\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 33d0 - -d?\nAnswer: 33dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-7) - -1)*(-21)\/(-9). Let p be (-4)\/(-10) - (-1)\/(-15). Put p, c, 5 in increasing order.\nAnswer: c, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rapfqqc. Give prob of picking 1 c, 1 q, 1 f, and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2939 = 3*p - 3*a + 2960, -3*a = -5*p - 29 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-28))\/((-3)\/(-8)) - 475\/(-95)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 v when three letters picked without replacement from {s: 9, f: 4, v: 6}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**5 - 264*m**4 + 2223*m**3 - 7242*m**2 + 10500*m - 5688.\nAnswer: 3*(m - 79)*(m - 3)*(m - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 6. Solve 8*m = 11*m + a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59028723?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -43. Let s be -2*(-5)\/q - -1. Let 4\/3 - s*j - 2*j**2 + 2\/3*j**4 + 2\/3*j**3 = 0. Calculate j.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 3*m**2 + 4*m. Let o(n) be the second derivative of n**4\/12 - n**3\/6 - 7*n. Determine d(q) + 4*o(q).\nAnswer: 2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48369 (base 14) to base 10.\nAnswer: -176297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 1)\/((-16)\/(-208)). Suppose 4*s + x = 5*s + 4*v, 0 = 3*v. Calculate the remainder when 51 is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -7*c**6\/3 - c**2 - 9. What is the second derivative of h(m) wrt m?\nAnswer: -280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*a + 259161 = -84*a. List the prime factors of a.\nAnswer: 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/60*w**5 + 0*w + 22*w**2 + 0*w**3 + 0*w**4 + 0. Let n(r) = -7*r**2 + 2. What is v(n(x))?\nAnswer: 49*x**4 - 28*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7)\/y)**(-13) assuming y is positive.\nAnswer: y**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(475) + 2 - (sqrt(304) - (-2*sqrt(304)*-6 - sqrt(304))**2 - sqrt(304)).\nAnswer: 5*sqrt(19) + 36781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 249281.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 8 = -4*i, -4*i - 8 = -2*i + 5*o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -21)\/(-5) - (2 - 1). Solve 3 = -4*v + w*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4418*u**5 + 184804*u**4 + 826792*u**3 + 949616*u**2 + 144128*u + 5888 = 0. What is u?\nAnswer: -2, -4\/47, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2302.72 * -0.0997.\nAnswer: -229.581184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 23. Suppose 4*x + 8 = 0, -2*x - 2 = o*v - 18. Let k(u) = -u**2 + 4*u + 6. Give k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60257.3ml in litres?\nAnswer: 60.2573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1067, 1062, 1045, 1010, 951?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 258 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.191? (a) 12 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 6. Let z be y(9). Suppose -3*i = 2*w - 14 - 1, -z*i = -9. Suppose w*b - 61 = d + 94, d - 110 = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1033.3 + 1033. Let d = 3 - 5. Sort k, -1\/4, d, 0.1 in increasing order.\nAnswer: d, k, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/686 and -97\/140.\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230261653.\nAnswer: 29, 337, 23561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 27 = -237. Let z be 1\/(-2) + u\/(-10). Let l(o) = -1. Let m(h) = 2*h + 10. Let k = -6 + 7. What is k*m(c) + z*l(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6 take away 643660530838?\nAnswer: -643660530849.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 12, j: 1, h: 3}?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 16*u**2 + 3*u - 3. Is r(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 + -4 + (-4 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = -4*o + 12, -2*g - 3 = -5*o. Let u be (246\/15)\/((-20)\/(-106)). Let d = -87 + u. Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -86.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (1 - -1)) + -2 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**5\/20 + 5*u**4\/6 + u**2 + 4*u. Let s be l(-10). Factor 0 + 1\/2*y + 1\/2*y**s.\nAnswer: y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnnxx. Give prob of picking 2 x and 1 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1684.1210609 + -3.\nAnswer: 1681.1210609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-3)\/45*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 114974015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -357*j**3 - 8*j**2 - 4*j - 2. Let o be w(-5). Suppose -45557 - o = 9*g. What is g rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 37504*w - 1 + 36502*w)*(3*w - 2 + 2) to the form g + b*w**2 + v*w and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4332 is divided by 1443.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 104*p. Let k(o) = 44*o. Calculate k(r(s)).\nAnswer: 44*s**2 - 4576*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**(-27)*f)\/f*f*f**17)\/((f\/(f\/f**(-12)))\/(f**(-8\/7)\/f)) assuming f is positive.\nAnswer: f**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 9*a**2 + 20*a - 10. Let h be s(6). Put -2, 128, 4, h in ascending order.\nAnswer: -2, h, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 472 + 2050. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*q = -0*q - 60, -b - 4*q + 30 = 0. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 4918*y + 2300*y + 1727*y.\nAnswer: -891*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61609904?\nAnswer: 2, 17, 83, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 14 = -2*d - 3*o, -5*d = -3*o - 22. Suppose -u = 3*r + d*u - 189, 0 = r - 2*u - 48. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k*k**(2\/13)*k)\/(k*k**(1\/2)))\/((k**(4\/9)*k*k)\/(k*k**(-2\/7)*k*k)) assuming k is positive.\nAnswer: k**(4789\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 595 = -2*z + 1064 + 652 for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -5) + 3 + -2 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 710566733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**3 - 3*v**2 - 2*v + 4. Give y(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 5*r + 36. What is the remainder when v(-7) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 11*j - 5. Suppose -2*f + 80 = 5*x - f, 3*f + 15 = 0. Let s(t) = -52*t + 3*t**2 - 4 + 20*t + 18. Let n(y) = x*d(y) + 6*s(y). Calculate n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 + 3*z**3 + 0*z**3)*((3*z + 3*z - 3*z)*(-9 + 1 - 5) - 5*z + z + z) to the form b*z**2 + o*z**4 + p + g*z + j*z**3 and give o.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.4 - 6. Let y = x - -0.6. Which is the nearest to y? (a) -0.2 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 144 = 26*l. Suppose l*d + 424 = 4*u, -5*d - 197 = -3*u + u. Calculate the remainder when u is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67636 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1321*t + 749?\nAnswer: 1321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 336, 794, 1372, 2070, 2888, 3826?\nAnswer: 4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 21\/117 + 2\/(-6). Suppose 0 = -14*z + 13*z - 4. Let t be (2 - 0)*(-1)\/z. What is the nearest to t in 5, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 32*d + 21*m = -322 - 116, -46 = 4*d + 2*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iioiibbibbb. What is prob of sequence iiii?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/288*30\/35*7\/(-16)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (((-12)\/(-9))\/2 - -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2466 - -44483\/18. Find the common denominator of 4\/(-24)*213\/(-10) and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62\/(0 + 1\/2).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3 - 15*k**2 - 3*k + 15 = 0. Calculate k.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*p + l = 1, -4*l = -p - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) 0 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/50)\/((-2)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -4*t**3 - 395010004*t**2 - 9752056651260000*t - 9752056256250000 = 0.\nAnswer: -49376250, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 1341 - 431 = 0. Let n = 336 + w. Does 49 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-432)*9*(-30)\/(-9)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 11 + 2*n - 34*n - 8.\nAnswer: -32*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5132166 - 50?\nAnswer: 5132116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/6 in 1.57, 0.5, 419?\nAnswer: 1.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(17)*4 + sqrt(85)\/(sqrt(10)\/sqrt(2)) + (sqrt(425) - ((-2 + sqrt(425))*1)**2) + 3)*-4.\nAnswer: -88*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -30333?\nAnswer: -4\/30333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/6)\/((-1)\/10). What is the first derivative of 2*j - 4 + 4*j - p*j wrt j?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22548254\/5 or -4509650?\nAnswer: -22548254\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * -8931.\nAnswer: -5358.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p**2 + 40*p + 228. Calculate w(-14).\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2540209, -10160828, -22861859, -40643302, -63505157?\nAnswer: -91447424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/331034 and 69\/44930342.\nAnswer: 494233762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -14*r + 2*r**2 + 14*r. Let w(j) = 10*j**2. Determine s(w(p)).\nAnswer: 200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1476)\/(-41))\/36)\/(2*-17)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -4*x**5\/5 + 22*x**4\/5 - 4*x**3 - 16*x**2\/5 = 0.\nAnswer: -1\/2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**2*q*q))\/q**(2\/3) assuming q is positive.\nAnswer: q**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6660, -6673, -6712, -6789, -6916, -7105, -7368?\n\"Answer: -2*l**3 - l**2 + 4*l - 6661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 449302\/(-12194) - (-6)\/(-39)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 6828be?\nAnswer: 6828ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29622131 and 9317?\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*(-8)\/12 - 4736\/4440?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4, -i - c = 2*i - 80. Suppose 2*d - 3*r = 54, -r - i = 3*d - 4*d. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4\/8 + 2385*d**3\/8 - 376479*d**2\/8 + 745815*d\/8 - 185859\/4 = 0.\nAnswer: 1, 214, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 203596097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/2, 0.22, 3, 0.4, 0.11, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 162246884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4 + (-18)\/(-4). Find the second derivative of r + 3*r - 4*r**n + 3*r**5 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0666893s to milliseconds.\nAnswer: 66.6893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and -6 + (1 - 763)*-2?\nAnswer: 13662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45072 divided by -7512.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20181804?\nAnswer: 2, 3, 1681817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3702 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 36*z + 2919. Let v(o) = -21*o - 1752. Let q(j) = -18*v(j) - 11*x(j). What is q(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00015232 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Suppose 0 = j - q + 2*q - 1, -4*j - 3*q + 7 = a. Suppose 2*t + 0*t - j*c - 60 = 0, t - 3*c = 25. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6288544*h**5 - 11*h**3 + 2*h**2 - 13988550*h wrt h.\nAnswer: 377312640*h**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 36. Let s(n) = 36*n - 22. Let b be s(r). Find the common denominator of 89\/60 and b\/160 - (1 + (-18)\/15).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -33*q**3 - 16788*q**2 + 4581*q = 0.\nAnswer: -509, 0, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 11*i = p - 6, 2*i - 4 = 0. Solve -4*m + 3*l + 5 = 0, p*m - 30 = -m - 5*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 5:33 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 7524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5745*h - 89 + 5745*h - 3*h**2 as r*h**2 + g + c*h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 14562096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2689694 to the power of 1\/2, to the nearest integer?\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/4 of a week?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4259a0 + 3?\nAnswer: 4259a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13873, 13884, 13891, 13894, 13893, 13888?\n\"Answer: -2*k**2 + 17*k + 13858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -3*o - 198. Let p = -5664 - -5764. Do o and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 9 (b) -1296 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 93.\nAnswer: -5\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41847469 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u\/((u**(-26)*u)\/u))\/u))\/u*u)\/(u*u**(-16)\/u*u))\/(((u\/u**(-18\/11))\/u*u)\/u*u)**(-33) assuming u is positive.\nAnswer: u**77","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -438 + -0.05421.\nAnswer: -438.05421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, 5, -1381 in decreasing order.\nAnswer: 5, 2, -1, -1381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b + 6. Suppose 3*o - 19 = 5*x + 6*o, -3*x = -4*o + 23. Give s(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:47 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 801*v + 33744.\nAnswer: -3*(v - 304)*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 254610 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 8 = -9*d, 4*u - d - 42 + 64 = 4*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5 + d - 2*d + 0*d. Let q be l(0). Calculate the highest common divisor of q and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let d = i - 0.5. Let s = d - 1.404. What is s rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8049\/4?\nAnswer: -8049\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1034 - -1047. Suppose 8 + 16 = 4*t. Let o(b) = -2*b**2 + 12*b + 7. Let g(c) = c**2 - 6*c - 3. Let w(h) = f*g(h) + t*o(h). What is w(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18557 - 15559. Calculate the remainder when p is divided by 150.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.069, 67\/3, 1466?\nAnswer: 1466","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x - 3. Let b(s) = 22*s - 2. Give 6*b(n) - 4*r(n).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38467 = -33453953*i + 33453684*i for i.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d**4 - 692*d**3 - 5*d**2 + 5*d + 1553. Let z(v) = v**4 + v**2 - v - 2. Let a(p) = -n(p) - 5*z(p). What is the first derivative of a(w) wrt w?\nAnswer: -4*w**3 + 2076*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011111001000110110111 (base 2) to base 12.\nAnswer: 18b589b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-6\/5)*k)\/k**(-7)*(k*k*k\/(k**(4\/7)\/k))**(1\/85))**24 assuming k is positive.\nAnswer: k**(19536\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*p - 248*p + 5300 = -645*p for p.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 60850\/2093497 + 2\/15281. Is 1 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1092765 by 789.\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548872 (base 9) to base 12.\nAnswer: 139a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*-16*(-18)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*m + 7 - 1\/3*m**2 = 0. What is m?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**5\/20 + w**4\/12 + w**3\/3 + 2*w**2 + 8*w. Let l be m(0). Solve -5*z - 11 = 4*y, 2*y - 4 - l = 2*z for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169930075?\nAnswer: 5, 7, 971029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 398888819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l**5\/9 - 284*l**4\/9 + 2*l**3 + 1904*l**2\/9 - 1144*l\/9 - 160\/3 = 0 for l.\nAnswer: -20, -3, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417 + -387. Let r be (18\/f)\/((-189)\/(-45)). Which is the second biggest value? (a) 12 (b) r (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.08 take away -4.457?\nAnswer: -22.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 = -16*d - 91*d. Let u(s) be the second derivative of -21*s + 1\/5*s**5 + 0*s**2 + 0 + 7\/3*s**d + 0*s**3. What is the third derivative of u(g) wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1009 * 1.3.\nAnswer: -1311.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -514050 + 255?\nAnswer: -513351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 567\/5 - 113. Determine z, given that 0*z - 6\/5*z**3 + g*z**2 + 0 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001642872924 rounded to seven dps?\nAnswer: -0.0016429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 - 155. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.32435615 rounded to one dp?\nAnswer: 22.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*u**2 - 10*u**2 + 51*u**2 + 162*u - 10*u**2 wrt u.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/21 + 102\/(-105). Which is the closest to p? (a) -1\/2 (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) + 33\/39\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 332 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 3*w**5 - 2*w**5 + (9 - 2 + 1)*(4*w**4 - 2*w + 2*w)*(-4 + 4 - 2*w) - 32*w**2 + 32*w**2 - 4*w**5.\nAnswer: -65*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 6*m + 5*m)*(-2 - 4 + 0).\nAnswer: -48*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 360 = -h. List the prime factors of (h\/(-8))\/(27\/144).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 133?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/((-24)\/(-10)))\/(51\/((-2907)\/(-133))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3468549 and 3972?\nAnswer: 13874196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, z: 3, s: 1}. What is prob of picking 1 j and 3 z?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-9)*(-4)\/16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**6\/120 - b**5\/20 + b**4\/8 - 2*b**3\/3 - 2*b. Let v(f) be the second derivative of c(f). Suppose v(y) = 0. Calculate y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k - 79 + 28 - 14 - 77 to the form w*k + y and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**2 - 1\/2*k**3 + 0 - 5*k + 3\/20*k**5 + 1\/6*k**4. Find j such that s(j) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*y = 13, 2*q - y + 3 - 1 = 0. Let t be ((-3)\/(-9)*(q - 1))\/3. What is the remainder when t\/3 + 1 + 18 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3 = h. Suppose 5*z + 29 = -h. Is ((-148)\/z)\/(16\/264) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b - 1959. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 r when two letters picked without replacement from ycrkmmx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/8, -0.2, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 142*m**2 + 28*m - 4. Let p(k) = -283*k**2 - 63*k + 9. Let x(w) = 9*c(w) + 4*p(w). Let r(q) = -6*q. Determine r(x(g)).\nAnswer: -876*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1146897 and 28593.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5*y - 247317. Let m(h) = 5*h**2. What is o(m(k))?\nAnswer: -25*k**4 + 25*k**2 - 247317","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + 0 + 0)*(0*f + 5*f - 3*f)*(288 - 288 - 14*f)*(0 - 2 + 3)*(7 - 3 - 2)*(-1 + 2 + 1) to y*f**2 + j + n*f + q*f**3 and give q.\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10627223 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -1) + (-53 - -59).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -1448*t**7\/21 + 2*t**3\/3 - 11*t**2\/2 - 1278*t. What is the second derivative of b(j) wrt j?\nAnswer: -57920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46891 - -46890.99000048. Let m = -6 - -6.01. Let p = m + g. Round p to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-28)\/16 + 15\/60?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02378 rounded to three decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 116529 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -57\/13, 5 in decreasing order.\nAnswer: 5, 3, -57\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -11. Suppose -y = -4 - h. Suppose -y*m + m = -204. Calculate the remainder when 33 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 25. What is the remainder when 119 is divided by u(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/35)*g)\/(g\/(g**(-7)*g))*(g\/(g\/g**(2\/11)))\/(g\/g**5)*(g**(-3\/5)\/g**(-1\/4))**50 assuming g is positive.\nAnswer: g**(-14831\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.900003 + -0.9. What is w rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -0.31 (c) 0.5 (d) 3\/4 (e) -321 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 30748486291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -7. Let q be 17\/(-4) + (-2)\/(-8). Let t = q - -4. Solve -5*b = -4*a + n*a - 5, t = -4*a - 4*b + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = l + 49, 3*l - 21 = 3*g + 132. Let u = -28 - g. Let n be 4\/u + (-120)\/(-66). Solve -4 = -r - n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3*v - 51, -3*m + 9*v = 13*v + 19. Let k(s) = s**3 + 9*s**2 - 5*s - 4. Does 8 divide k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/11)\/(-2 + 11 + -8)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -31d8a2 + -2?\nAnswer: -31d8a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, l: 3, y: 1, n: 1, m: 4, e: 1}. What is prob of sequence yml?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-2310)*-15 - (2 + 645\/70 - -4)?\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188552 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p + 15*p - 75*p to the form r + j*p and give j.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934183862.\nAnswer: 2, 3, 173, 4753549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69560741 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, r: 3}. What is prob of sequence rrrn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 5923 and 5930 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-20) - (-2)\/(-4). Let s = -3.6 - -4. Put 0.1, j, s in descending order.\nAnswer: s, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1079, -8661, -29241, -69317, -135387, -233949, -371501, -554541?\nAnswer: -789567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -32 (c) 5\/3 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.3 + -3.5. Let i = -2735\/6 - -456. Put i, 1, v in decreasing order.\nAnswer: 1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -623*g**5\/20 + 1267*g**3\/6 + g**2 - 970*g + 2. Find the second derivative of y(i) wrt i.\nAnswer: -3738*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175400 is divided by 282?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than -8\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(176) - (0 + sqrt(44))) + -3*sqrt(396) + -5 + 3.\nAnswer: -16*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -816, -2032, -3734, -5922, -8596?\nAnswer: -11756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i)*(80 + 74 + 27 + 146).\nAnswer: -654*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11202011000202 (base 3) in base 16?\nAnswer: 267cf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24*f - 6 + 15 - 3*f**2 - 18*f.\nAnswer: -3*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804 and 2.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + c - 14948 = 0, 3*x - 44848 = -65*c + 61*c. List the prime factors of x.\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s**2. Let f(n) = 406*n + 16. Determine b(f(h)).\nAnswer: -1153852*h**2 - 90944*h - 1792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304 - 304.1. What is the biggest value in -0.4, -4, k, -4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2. Let m(w) = -2*w + 30. Determine n(m(j)).\nAnswer: 12*j**2 - 360*j + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 4:35 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 16*p - 86. What is r(-22)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1351598222 and 2610.\nAnswer: -1351595612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 + 5*u + 4. Let n = 20 + -15. Determine j(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (2 - 1) + 13. Suppose 3*f + 12 = 0, 3*f + 19 = s - f. Let n be s\/((-6)\/(-2)*(-4)\/(-52)). Calculate the greatest common divisor of n and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/23*(-4 + 5). Let r = t - -13\/46. Suppose -p - 20 = 4*p + 5*m, 8 = 3*p - 2*m. Which is the nearest to r? (a) -0.5 (b) p (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/3 - 18*u**2 + 8*u + 5. Let v(h) be the first derivative of -h**2 + 52. Determine r(v(k)).\nAnswer: 4*k - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -118*p**2 - 5364*p - 1938311?\nAnswer: -236*p - 5364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 3. Calculate h(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 96 in -1, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2. Let v(r) = -65*r**2 + 3*r + 25. Let z(x) = -67*x**2 + 2*x + 20. Let f(k) = -2*v(k) + 3*z(k). What is n(f(y))?\nAnswer: 15123*y**4 - 4260*y**2 + 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fwf when three letters picked without replacement from {w: 3, i: 4, f: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/16*-2)\/((-1)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 - -179. Let s = 2 + 0. Solve -s*z + w = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20975 is divided by 583.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5927 + 20.4073. Which is the closest to 2\/5? (a) 2 (b) 0.2 (c) m (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000120379 rounded to seven dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1625*z + 157025 = -24*z + 107*z + 1147*z for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 117 - (89 - (58 + -26))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 - 3 - 2*n - 14)*(6*n**3 + 3 - 3) to the form z*n**4 + k + g*n**2 + d*n**3 + x*n and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 2. Let t be u(9). Suppose -6*r + 13 = -t. Calculate the highest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/85 and 42\/11.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -18. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -17. Let n be (-2)\/o - 1\/(-4). Suppose n*k = 3*k - 42. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 6*p - 11*p. Suppose 503 = 2*n + 2*a - 391, p = 4*n - 3*a - 1767. Suppose 7*c + n = 11*c. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 2*s - s)*((-4 + 1 + 1)*(3 - 4 + 3) + 2 + 12 + 2 + 0 - 4 + 5) to the form l*s + j and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93*l**5\/5 + 4449*l**4\/5 - 79632*l**3\/5 + 629856*l**2\/5 - 1824768*l\/5 - 62208.\nAnswer: -3*(l - 12)**4*(31*l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5237547 divided by -6069.\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223693866 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -493 + 499 - (10 + -5 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - g = -8, -3*g + 6*g - 10 = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 2:45 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 31 = -3*z + 46, 4*t + 5*z - 25 = 0. Let b be (30 + -27)*(1 + t). Factor 12\/7*i**2 - 2\/7*i**b + 0 + 0*i.\nAnswer: -2*i**2*(i - 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2659*l**2*v*w**2 - 5*l**2*v - 10*l**2*w**2 + 3*l**2*w + 42*l with respect to v.\nAnswer: -2659*l**2*w**2 - 5*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**9\/4536 - h**7\/1260 - h**3 - 2. Let f(v) be the third derivative of z(v). Suppose f(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, s: 1, h: 2, a: 4, p: 1}. What is prob of sequence phha?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, d: 4, e: 4}. Give prob of picking 1 d and 2 e.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = -104*z - 93 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y, -y - 2*y - 14 = -2*g. Suppose 4*v - 12 = -4. Is v greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiii. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 21413593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 12 = 0, -2*f + 11 = -2*z + 3. Let r be f + -8 - (6 - 5). Let g(v) = -v**3 - 7*v**2 + 4*v + 19. Is g(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*y**2 + 1 - 192*y**2 - 1.\nAnswer: -578*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -3 + 3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*h = 4254 - 3406 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = c - m - 15, -2*c - 3*m + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 10:11 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 0.5, 80, 3, -3, -29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 0. Let q be 1 - 1 - (9 - (-1690)\/(-190)). Which is the closest to v? (a) 0.4 (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -291781 by 1.\nAnswer: -291781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 23 = -5*m + 63, -5*m + 35 = -3*j. Suppose -m*b + 8*b = -8. Suppose 3*w - 4*w + 1 = -2*s, b*s - 3 = w. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -5 - (0 + 4 + 4 - 3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54315155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 120011121 (base 3) in base 11?\nAnswer: 8344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135342?\nAnswer: 2, 3, 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7099 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let y be j(-3). Suppose y*x - 12 = -2. Suppose -141 = -2*v + 5*s, x*v - 136 = -2*s + 260. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 885364.5 millennia?\nAnswer: 88536450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -1 - 2*a**2 + 1. Let z be (0 + -2)*(-3)\/(-6). Let c(v) = 1. Let k(f) = f**2 + 5. Let s(p) = z*k(p) + 5*c(p). What is s(m(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(343)*-3*4 + (0 + (sqrt(343) + 4*sqrt(343) + sqrt(343))*4)**2 + 0.\nAnswer: -168*sqrt(7) + 197568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 - 26536*f\/15 - 26534\/15.\nAnswer: -2*(f + 1)*(f + 13267)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -212133 (base 5) in base 11?\nAnswer: -5427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103625 and 207250.\nAnswer: 207250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14526 + 14525.2581. What is b rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t. Let a(q) = -3*q - 34438. Calculate w(a(v)).\nAnswer: -3*v - 34438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-1) - 55\/11) + 4. Sort 0.5, 1, g, -2.\nAnswer: -2, g, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160214028 divided by -118\nAnswer: -1357746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -61. Suppose 88 = 4*j + n + 29, 0 = -3*j - f*n + 23. Calculate the least common multiple of 4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 756 is divided by 12\/(-66) + 1845\/165.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -5*u**4\/24 + 57*u**2 + 2. Let y(o) = 4*o. Calculate v(y(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o + b = 0, -5*o = 4*b. Suppose o = -k - 0 + 20. Suppose -2*n = 5*t - 0*t - 108, -228 = -4*n - 4*t. What is the remainder when n is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.2 + 12?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -8*f**2 + 52. Let a(x) = x**2 - 6. Let v(m) = 52*a(m) + 6*d(m). Let u(l) = 3*l + 3. Calculate u(v(b)).\nAnswer: 12*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 80448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-4)\/12*(-60)\/(-50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12246 and 2652.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.2136 plus -62844?\nAnswer: -62802.7864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4960, 102, -5, 3 in increasing order.\nAnswer: -5, 3, 102, 4960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -11*x - 36. Let o be j(-3). Let u(v) = 2*v**3 + 4*v**2 + 4*v - 1. What is u(o)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 5 (c) 316 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5248834316 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3211, 3930, 4649, 5368, 6087?\nAnswer: 6806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4650731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -5321?\nAnswer: -5322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6217794828 to the power of 1\/2, to the nearest integer?\nAnswer: 78853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164940*0.07.\nAnswer: 11545.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 110*b**3 + b**2 - b - 1. Let d = -34 - -33. Let a be l(d). Let m = a + 232. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8518.4 * -5926\nAnswer: -50480038.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 536, -5, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3 - 2 = 0. Suppose -632*u - 9904 = -13*u. What is the nearest to 0 in u, b, -2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -824970, -1650080, -2475180, -3300264, -4125326, -4950360, -5775360?\n\"Answer: j**3 - j**2 - 825114*j + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (17\/(-32))\/((-7)\/28). Let w = 83\/24 - f. What is the closest to 0 in w, 0.1, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1422, 25, 40 in decreasing order.\nAnswer: 1422, 40, 25, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26281155335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23381.875 times 0.07?\nAnswer: -1636.73125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/48*-2)\/((-14)\/(-980)*-15)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - c + 5 = 0, -2*d + 3*c = -6*d + 15. Solve d = j - 5*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*d + 3*d - 384 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*g*l**4 + 1533*g*l**2 + 5*g + 2*l**4 - 1511 wrt l?\nAnswer: 32*g*l**3 + 3066*g*l + 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - 1. Let h(p) = 5*p - 2. Let q(o) = 2*h(o) - 5*t(o). Let z be -1 + 1 - (-4)\/(-2). Let u = z - -1. Give q(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/18 - (-2)\/(-9). Let p(s) = -40*s. Let y be p(v). What is y rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9030\/3870*(1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 a factor of 769543738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87251?\nAnswer: 87251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 9*j**2 + 13*j - 189. Let r be m(7). Which is greater: -3\/25 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 6, 638 in descending order.\nAnswer: 638, 6, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 35*t**2 + 37. Let o be z(35). Suppose o*f - 129 = -6*f. Solve 2*p + y + y + 6 = 0, -15 = -3*p + f*y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 - 91. Calculate the smallest common multiple of m and 279.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8332884 divided by 1806?\nAnswer: 4614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -869 divided by -1041?\nAnswer: 869\/1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33 * -0.3.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1408337*r**2 + 1598820*r wrt r?\nAnswer: -2816674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5 = -w + 2*w, 0 = 2*r - 3*w + 10. Let v(i) = 78257*i**2 + 4*i + 7. Let l be v(r). Suppose -2*p + 5756412 = l. Round p to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*j - 23, 5*j + 2*l = 30 - 120. Let x = j + 27. 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 highest common divisor of 105424 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**6\/120 + s**5\/40 - 19*s**3\/3 + 7*s**2 - 1. Let d(a) be the first derivative of v(a). Factor d(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 583, -2, 253 in decreasing order.\nAnswer: 583, 253, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 131612 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 6:36 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111 + 11454\/(-166) + 7557\/(-180).\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -530, -740, -954, -1166, -1370?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10894*s + 11834?\nAnswer: 10894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*a**3*l**3 + 3*a**3*l**2 + 22*l**3 + 30*l**2 wrt a?\nAnswer: -45*a**2*l**3 + 9*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68302?\nAnswer: 2, 13, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -7.2. Let r = -82966 + 82967. Sort r, -0.3, k in decreasing order.\nAnswer: k, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 59*o**2 + 5*o - 53. Let m(a) = 59*a**2 + 4*a - 54. Let y(f) = -4*j(f) + 5*m(f). What is the derivative of y(b) wrt b?\nAnswer: 118*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 4*w**4 + 3*w**4 - 12*w**4 - 85 - w**3 + 85 + (6*w**2 - 3*w**2 - 5*w**2)*(40*w**2 + 6*w**2 - 4*w**2).\nAnswer: -97*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 852462.9mm?\nAnswer: 0.8524629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.5 + -5. Suppose -16*k = -17*k - 1. What is the second smallest value in 5, k, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 7. Suppose -4 + 0 = -2*y. Calculate the smallest common multiple of u and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-9\/7))\/p**(-8) assuming p is positive.\nAnswer: p**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1411*i**2 - 227339*i**3 - 2*i**5 - 5*i**6 + 227339*i**3 wrt i.\nAnswer: -600*i**3 - 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let q be -1*(-3)\/6*0. Suppose -5*a + 0*a + 20 = q. Calculate the remainder when a is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 755\/10 - 35\/15*((-51)\/(-238) - 0)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18454 + 18454 - 18*r**2.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 11*y - 9. Let z be c(7). Suppose 74 = 5*f + z. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 377791 + -4529407\/12. Let z = -1341\/4 + v. Calculate the common denominator of (54\/4)\/((-2)\/6) and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(16\/3)\/j*j\/(j**(8\/7)\/j))**(7\/4) assuming j is positive.\nAnswer: j**(109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4\/3 - 451505*g**3 + 4063635*g**2 - 12190995*g + 12191040.\nAnswer: -5*(g - 3)**3*(g + 270912)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + 4 - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-9)*-12 + 8\/6. Solve 16 = 6*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(2 - 978*o + 1776*o - 974*o).\nAnswer: 176*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r*r\/(r**(-37)\/r))*r**41*r*r)\/(((r*r**(20\/3))\/r)\/r**(2\/45)) assuming r is positive.\nAnswer: r**(-163\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 61, 0, -2\/7?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 1687391.\nAnswer: 1687390.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -194*c + 15. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/120)\/((-175)\/28).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*z - 30*z + 4085 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-63)\/(-192))\/((-1)\/12) and -2 + 7 + (-2575)\/520?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**5\/60 + a**4\/3 + 5*a**3\/6 + 5*a**2. Suppose -8*o + 27 + 53 = 0. Let q be x(o). Which is bigger: q or -17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/168*(-3)\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h = 24*h + 3*r + 6, 5*h = -3*r - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*p - 77 = 7613, -1530 = -s + 5*p. Let c = -227 - -2687. Let k = s + c. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: dbe (base 15) to base 10\nAnswer: 3104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2 + 10 = 0. Suppose -10 = -2*h - 2. Suppose -h*d = 13 + 3. Put x, -5, d in ascending order.\nAnswer: -5, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(8) - sqrt(32)\/sqrt(4)))\/(-2*sqrt(64)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5, -94, -259, -490, -787, -1150?\n\"Answer: -33*g**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.0715431 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 104196*q**3 - 4588980*q**2 + 50494752*q.\nAnswer: 3*q*(q - 22)**2*(q + 34776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 34*l**3 + 4*l**2 + 4*l. Let o(j) = -135*j**3 - 15*j**2 - 15*j. Give 15*h(r) + 4*o(r).\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*q - 25 = 0, 4*k + q + 2*q = 15. Suppose 2*d - 10 = 0, k = f + 6*d - 3*d - 25. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554463.\nAnswer: 3, 7, 13, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -6\/7 (c) -1.1 (d) -2 (e) -0.02 (f) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -771, -1543, -2325, -3123, -3943, -4791, -5673?\nAnswer: -6595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 3*z = -2, 4*z + 45 = -2*a + 37. Calculate the least common multiple of a and 832.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a = -36600 + 11415 - 20595. What is the remainder when a is divided by 111?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.000309 and 360.\nAnswer: -0.11124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4165, -4175, -4199, -4243, -4313?\n\"Answer: -d**3 - d**2 - 4163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/24*y**4 + 0 + 0*y - 1\/60*y**5 + 3\/2*y**3 + 6*y**2. Calculate the smallest common multiple of m(0) and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*n = -0*n - 32, -4*i + n + 20 = 0. Let a = 182 - 177. Suppose 253 = 3*r + r - 3*h, 243 = i*r - a*h. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100000000 (base 3) to base 12\nAnswer: -13230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((1\/1)\/2*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63901.\nAnswer: 63901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c + l - 28, 40 = 3*c + 5*l. Let p be (2\/3)\/(c\/2850). Let k = 1 - -18. Calculate the highest common divisor of k and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -35, -294, -719, -1304, -2043, -2930, -3959?\n\"Answer: g**3 - 89*g**2 + g + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578772 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h = 0. Suppose 0 = -h*i + 4*i. Let y(c) = -c + 7. Let z be y(i). Solve -p - 1 = r - 2, 3*r = -p + z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 419b4c?\nAnswer: -419b47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*k - 32*k - k - 209)*(-3*k**3 - 11 + 11).\nAnswer: 3*k**4 + 627*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26270 is divided by 954?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8467, -15841, -23215, -30589, -37963, -45337?\nAnswer: -52711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64603021 divided by -21119.\nAnswer: -3059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -1\/3*d**3 - 2*d**2 + 0*d + 1\/24*d**4 + 0. Find the first derivative of h(m) wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**5\/15 - m**4\/3 + 8*m**2. What is the second derivative of v(n) wrt n?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.9 + 18.6. What is y rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/10 + j**4\/6 + j. Factor p(o).\nAnswer: 2*o**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -15*z**2. Let l(w) = -7*w**2. Calculate l(j(y)).\nAnswer: -1575*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33352391 and 0.2.\nAnswer: 6670478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-23 + 13) - 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - n + 3. What is the units digit of b(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 54, 73, 92, 111, 130?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 16*p - 32. Solve -5*y + 20 = -5*x, -p*y = 2*x + 9 - 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + 48 + -26 + (-26 - -2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 119791020217590 - -0.06\nAnswer: 119791020217590.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62 + 67. Solve 0 = 5*h - i - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 - t**2 + 5*t**2 - 5*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n**5 + 14782*n**4 - 735256*n**3 + 4522338*n**2 - 5957384*n - 528280 = 0. What is n?\nAnswer: -1\/12, 2, 5, 47, 562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 900 = 4*o, -4*y - 18*o + 15*o = 893. Let d = 67 - y. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/(-26))\/(-86)*(-10)\/(-15)*-3?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 + 4*c - 9. Let i be w(-6). Suppose -9 = -6*u + 3*u + 3*f, 2*u + f - 9 = 0. Sort 6, u, i, 5 in descending order.\nAnswer: 6, 5, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293655.2 > -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, 3\/26, -0.5, -2 in decreasing order.\nAnswer: 2, 1\/2, 3\/26, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 23*j = 10. Let c(t) = -t**2 - 9*t - 17. Let h be c(-7). Put j, h, -4 in decreasing order.\nAnswer: h, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 833.3 + -834. Which is the nearest to 0? (a) -5 (b) 1\/7 (c) -2\/3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-56))\/(4168500\/(-350154))?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(2\/13)*b**2*b**(-3\/4)\/(b\/((b\/(b*(b*(b\/b**(-2\/7))\/b)\/b))\/b))*b**(-7)*b*b**(1\/7)*(b**1\/b)**35 assuming b is positive.\nAnswer: b**(-2201\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, e: 4, w: 2}. What is prob of picking 2 e and 1 w?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12535305*w**2 + 20*w**3 - 12535305*w**2.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 (base 5) in base 8?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4*d - 1. Let g(p) = 1. Let c(y) = 2*g(y) - n(y). Let i be c(5). Let w = 6 + i. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1960 and 707990.\nAnswer: 138766040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 835420?\nAnswer: 2, 5, 41771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z**2 + 136*z - 137. Calculate s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x + 2*x - 4*x + x**3 - 4 to the form h + d*x + z*x**2 + b*x**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idr when three letters picked without replacement from {r: 3, i: 1, p: 1, d: 5}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116359.\nAnswer: 116359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = -p, -d - 2*p + 10 = -4*p. Let z(b) = b**2 - 6*b + 20. Let r be z(d). Is (-6)\/54 + 1480\/r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1033*f**3 - 3643*f**3 + 245*f**3 - 364*f**3 to the form m*f + r*f**3 + x + p*f**2 and give r.\nAnswer: -4795","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 3 (c) 0.07 (d) 0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + s**2 - s**2 + (-s - 2*s + s)*(-10 + 3 - 5*s**2 + 6) - 11*s + 11*s + 2*s**3.\nAnswer: 9*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 21*t**2 - 538*t - 8023. Give b(-30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f + 30. List the prime factors of o(-8).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:02 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r - 120 = -39 - 206 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 1558998.\nAnswer: 4\/259833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 28. Suppose -4*w = -0*w. Let t be d(w). Let h = t - 19. Calculate the greatest common divisor of h and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 271, -4, 12512.\nAnswer: -4, -3, 271, 12512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1633)\/690 - 16\/(-6).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 4*k**2 - 3*k - 6. Let v be j(-3). Suppose -3*d = 3 - 18. Suppose d*b - v = -5*r + 282, 2*b - 5*r = 190. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 0 = c - s*c + 28. Let p(g) = -5*g - 50. What is the least common multiple of p(-12) and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 4. Let o(z) = -4*z**3 + 4*z**2 + 3*z + 1. Let l be o(n). Suppose 5*q - 1 = -2*w, -q = 4*w - l - 4. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 37\/2 of a millennium?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -229274 + 251.091?\nAnswer: -229022.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 622 - 622.15. Let a = -0.7 - -3.7. Let b = -2.6 + a. What is the third smallest value in b, x, -1, -1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28640802 is divided by 413.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by -3691?\nAnswer: -97\/3691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 - -10. Let g = k - -17. What is the tens digit of (-16)\/20*(-130)\/g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*h - 5, 4*h + 20 = -t - 3*t. Let c = -2 - t. Suppose -31 = -o - 2*l, 0 = 3*o + c*l - 0*l - 87. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 = 11*r - 147. Suppose r = -9*j + 43. Solve 0 = -5*i - 2*f + 23, j*i - 2 - 13 = 5*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from {e: 1, w: 1, r: 4, m: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553326 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3519 + -1862. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.14 from 9712.4.\nAnswer: 9712.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 2*v**3)*(-3*v - 13 + 13 - 4*v + 4*v + v + 0*v - v + 2*v - 2*v + v - 2*v + (3 + 0 - 5)*(0*v + 2*v + 0*v) + 3 + 2*v - 3).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 21. Suppose 0*l - p*l + 54 = 0. Suppose 0*b + 3*b - l = 0. Calculate the highest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395 is divided by 355.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 12*g**2 - 11*g - 2. Let x be l(11). Let w = 342\/7 - 97\/2. Let u = 29\/42 - w. Which is the nearest to u? (a) -5 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 + 2860*g**3 - 32*g**2*x - 2*g*x - 123*g - 3*x + 881 wrt g?\nAnswer: -12*g**2 + 17160*g - 64*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a week?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 53090?\nAnswer: 53090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2017869998.4 to the nearest 100000.\nAnswer: 2017900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449.11 - 444. Let j = 5 - q. Let m = j + 0.11. Which is the smallest value? (a) -4 (b) m (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 10:30 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.394026 + -23.491?\nAnswer: -28.885026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/63)\/(n\/(n**(-14)*n))*((n**(-40)*n)\/n)\/n*n*n**(-6\/13) assuming n is positive.\nAnswer: n**(-44578\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:17 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 4*g - 5. Let o be -2 + 61 - g\/(-5). Suppose 0 = 4*y - 0*y - o. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 8:04 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40\/2*120\/75. Solve -4*s - 21 = -t - 4, 4*s = 4*t - l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 7 = -1. Suppose -o = -2*q + 10, -2*q - 5*o = 2*q + p. Solve -q*n - u = -13, 0*n + 5*n - 15 = 5*u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 6*c + 30 = 3*c, 5*q - 4*c = 35 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0 - 1\/2*n**5 - 17\/10*n**3 + 0*n**2 + 2\/5*n + 9\/5*n**4 = 0.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 24\/11, 0.5, -0.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3*g + 6. Let h be o(4). Suppose 3*x + 1 = 7. Suppose -2*a = x - 0. What is the third smallest value in h, a, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 + 5*c**2 + 10*c + 22. Let k(d) = 5*d**3 + 4*d**2 + 8*d + 22. Calculate -4*b(y) + 5*k(y).\nAnswer: 9*y**3 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -20.8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s - 4*o + 4 = 0, -s + 2 = 2*o. Let y be (6\/15)\/(1\/10). Suppose -3 = -5*a + y*a. Solve s*n = -a*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -b + 16. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w)*(-31 + 18 - 7)*(0 - 6 + 4 + (-2 + 2 + 1)*(-4 + 1 + 2))*(-w - w + 3*w) + (3*w**2 + 15*w**2 - 7*w**2)*(0 + 1 + 0).\nAnswer: 131*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14128482 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {x: 2, n: 3, f: 1, a: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-20 - -12 - -15) - (-17 - 5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94*d - 6*d + 91*d + 2*d + 5*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 12*r + 19. Let v be z(10). Let c = -40 + v. Let o(a) be the third derivative of -a**5\/15 + a**4\/24 - 2*a**2. Determine o(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25048*h - 25193*h - 50 + 50015*h.\nAnswer: -226*h - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12444 + -12486. Is k < -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000232657891 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 11. Let s be d\/(-16) + 7\/4. Does 12 divide (-590)\/(-25) + s\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-22)*(18304\/48)\/(-52)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 27 = 4*l, l + l - 4*v = -6. Let i(u) = u**2 + u + 2. Let h be i(0). Let k(a) = h*a - a - l*a. Let n(s) = 2*s. Determine n(k(t)).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*u**2 + 4 + (-3*u - u + 3*u)*(-146*u - 20*u - 126*u).\nAnswer: 294*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -57, 57100, -3\/5, -0.3?\nAnswer: 57100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/((-12)\/(-20))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 7, y: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, 98 in descending order.\nAnswer: 98, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9411166809.49 - 9412519416.7899995. Let n = i + 1352608. Let t = 0.7 - n. Round t to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**3 - 7*y**2 + 26*y + 314. Let i(q) = -2*q**3 + 4*q**2 - 15*q - 157. Calculate 7*i(v) + 4*w(v).\nAnswer: -2*v**3 - v + 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346340?\nAnswer: 2, 3, 5, 19, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -515 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/2057?\nAnswer: 9\/2057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15662836 by 1.\nAnswer: -15662836","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 6:55 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((p\/p**(4\/9))\/p)\/p)*p*p*(p*p**4)\/p)**(18\/11)\/((p*p**13)\/(p\/p**(-11)))**(-12\/7) assuming p is positive.\nAnswer: p**(1328\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.04 - 0.04. Let a = -6 + s. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173 and 196126813.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8230123 is divided by 1604?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-16)*u**(-15))**24)**(-8))**(-43) assuming u is positive.\nAnswer: u**(-255936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g**2*i**2*n + 83*g**2*i**2 - 2*g*i**2 - i**2*n**4 wrt n.\nAnswer: 12*g**2*i**2 - 4*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2485 = -17*d + 2451. Put -1, 2\/17, 5, d in ascending order.\nAnswer: d, -1, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 18524.\nAnswer: 129668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -20*v + 23*v. Solve 0 = -m - 3 + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 17. Let i be k(-5). Suppose -4 = -4*s + i. Solve 3*t - 14 = -2*p, -15 = 5*p - s*t - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (-99 - 12) - 30.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**5\/7 - 1206*x**4\/7 - 193876*x**3\/7 - 3597228*x**2\/7 - 5861322*x\/7 + 9653634\/7 = 0.\nAnswer: -291, -19, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2\/11, -5, 0 in descending order.\nAnswer: 2\/11, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3122, -6221, -9320?\nAnswer: -12419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s**3 + 30*s**3 + 23*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 902 - 616. Calculate the remainder when 384 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 765801 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i**3 + 0 + 1\/448*i**8 + 0*i**4 + 0*i - 1\/280*i**7 + 0*i**6 - 7*i**2 + 0*i**5. Factor l(j).\nAnswer: 3*j**4*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.991 + 0.009. Let l = f + -31. Suppose j = -2*j. Which is the closest to j? (a) -10\/9 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**2\/5 - 357332*m\/5 + 6433272\/5 = 0.\nAnswer: -89351, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9 = 2*k - 2*h, 4*k - 14 = -2*h. Calculate the remainder when 43 is divided by -2 - -6 - (-36)\/k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/(-32)*(2\/(-15))\/(14\/20). Let s = -2 + 1.8. Let r = s - 0. What is the closest to -1 in r, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*b**3*m - 14*b**3*x + 20*b**3 + b**2*m*x + 2*b**2*x - 3*m**2*x - 2*m*x wrt m?\nAnswer: -5*b**3 + b**2*x - 6*m*x - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/76)\/((-4599)\/12483)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52813963?\nAnswer: 647, 81629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -165, -469, -967, -1653, -2521, -3565, -4779, -6157?\n\"Answer: w**3 - 103*w**2 - 2*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929 is divided by 188.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-1012 + 1 + 0). Let v = -573 + q. What is v rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x + 9. Let z be 125\/20 - (-2)\/(-8). Let p be n(z). Let s = -6\/23 - -53\/115. Put 1, p, s in decreasing order.\nAnswer: 1, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + l + 23 = 0, -2*a + 6*a + l = 102. Suppose 23*y + 60 = a*y. What is the highest common factor of 135 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*i = -4*u + 128, -2322*i + 10 = 3*u - 2317*i + 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**3 - 8*f**2 + 115*f + 1041. What is the hundreds digit of i(-25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -12\/41, -78, -0.5 in decreasing order.\nAnswer: -12\/41, -1\/3, -0.5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2358584881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 98664874 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2055*w + 2059*w - 24 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 15 = 5*u, -2284975 = -5*z + 5*u. Round z to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68) + sqrt(68) - sqrt(17))**2 + (sqrt(833)*-5 + sqrt(833) - sqrt(833)).\nAnswer: -35*sqrt(17) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/9 - (-2)\/(-6). Suppose 0 = w + a*w - 245. Let u be 80500002\/(-7) + 14\/w. Round u to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 + 0.2301505.\nAnswer: -18.7698495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 637 = 4*r + 213. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 10 + 3. Suppose 3*u = -5*a + 27, 2*u + a = 3 + 8. Suppose 5*c - 85 = -u*z, 3*z = 3*c - d*c + 68. Does 17 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12002 - 11?\nAnswer: -12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 224663843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.9 + 8. What is the nearest to n in -0.5, -4, 17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1689618\nAnswer: -2\/844809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 789*z**2 - 1077*z wrt z.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1157, 711, 235, -271, -807, -1373?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2466?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 183561 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95306484*c - 95306466*c = 414 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.114*-137.97\nAnswer: -15.72858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12.7 and 3.0192.\nAnswer: 38.34384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9126798291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:08 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 5. Let h = l + 2. Suppose u - 4*r - 4899988 = 0, 7098364 + 17401621 = h*u - 5*r. What is u rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (59 + (8 - 43) + 13).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v\/((v**(-1\/26)*v)\/v*v))*v*v\/v**(-3\/7)*v)**35)**21 assuming v is positive.\nAnswer: v**(83895\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5760?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2853\/11 + 260. What is the common denominator of (-1770)\/176 - 12\/(-66) and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 25 - 80 = 0. Let n be 4\/14 + (-48)\/u - -3. What is the derivative of -18*d**4 + 42*d**3 - 42*d**3 + 5 + n wrt d?\nAnswer: -72*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + sqrt(480)\/(sqrt(24)\/sqrt(3)) + sqrt(60))\/sqrt(12) - (sqrt(20)\/(2*sqrt(12)\/sqrt(3)))**2 - ((sqrt(90) - sqrt(90)*1)*-4)\/sqrt(2)*-4.\nAnswer: -5\/4 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -629 - -2671?\nAnswer: 2042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2 + 1 = 0. Let m(v) be the second derivative of -v**5\/20 + v**2\/2 - 2*v. Let f(c) be the first derivative of m(c). Determine f(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1973192237 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3615, 3613, 3611, 3609?\nAnswer: 3607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 2*h + 7. Let z be q(5). Let w = 12 + z. Suppose w*u - 16 = -0*u. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239759.7351 - 239746.03510793. Let a = -13.7 + f. Round a to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - q + q + 0. Let j(g) = -3*g**2 + 2*g. Let r(b) = b**2 - b. Let m(d) = 2*j(d) + 4*r(d). Give p(m(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 - 2)*(2*u - 14 + 11 - 30)*(25*u + 18 - 12*u - 15*u).\nAnswer: 36*u**2 - 918*u + 5346","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*x + 1)*(2*x**2 + 0*x**2 - x**2) + (-1 + 1 + x)*(-75949 + 75951 + 0*x**2 + 2608*x - x**2).\nAnswer: -3*x**3 + 2608*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 9, r: 2}. What is prob of picking 1 r and 1 w?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**4\/6 - r**3\/3 - 241*r**2 + 2*r + 1. Let s = 2 - 0. Let b(w) = -11*w + 7. Calculate s*b(u) + 7*o(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -1.2. Let l = 0.4 - 0.48. Let q = -0.48 - l. What is the nearest to r in q, 1\/9, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 12*l + 2. What is m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 19 = -56*n + 57. Sort -5, -9, 10, n, 5 in increasing order.\nAnswer: -9, -5, n, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from rxxarrxrazgrjrrgx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.47 - 1.23. Let v = -10 - y. Is v greater than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5462 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1053*s + 786*s - 327*s - 89658 = 1164*s for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14608 + -17?\nAnswer: 14591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 10:30 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*x - 2179 - 331 = 0 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 844934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(4 + -5)*-2. Solve b**3 + 2*b**3 - b**2 + 14*b**z - 10*b**4 = 0 for b.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, u: 5, y: 8}. What is prob of sequence vvvv?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.1 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-12)\/9)\/(-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -24.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599112311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101001101011000011 + -1?\nAnswer: 11000101001101011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 - (-2 + 6 + -2). Is 154\/5 + (-3)\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000290686 to 6 decimal places.\nAnswer: -0.000291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -15. What is the least common multiple of 7 and 6*k*4\/(-9)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/93187 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 38. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkh when three letters picked without replacement from kkhkhkkk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -5*p. Let m(z) = -6*z - 1. Let f(h) = -2*m(h) + 3*v(h). Let o(n) = -1. Let i = 4 - 6. Determine i*o(j) - f(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 + -47. Let p = 220 + j. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*o**6 + 2*o**5 + o**2 + 2735 wrt o.\nAnswer: 2160*o**3 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 16*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -65. Calculate the remainder when z is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39656 and 77269716.\nAnswer: 154539432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 + -10.49.\nAnswer: 36.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(28)\/(sqrt(12)\/sqrt(3)*-2).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1. Let i be ((-4)\/(-6))\/((-26)\/39). Let k(l) = -l + 16. Let h(s) = i*k(s) + 4*n(s). Give h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 - 6\/9. Let u(q) = -q**3 - q**2 + q + 1. Determine u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(76)*-2)**2)*4 + 1*(-6*(sqrt(304) + sqrt(19)) + 3*sqrt(304))**2.\nAnswer: 7356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2521191000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.6 + -5. Let g = -7.84 + -0.16. Let d = g - -4. Put 1, d, f in descending order.\nAnswer: 1, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + -2*sqrt(325)*6.\nAnswer: -55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/13)*h**(-1\/2))**(2\/53)*(h**(3\/7)*h**8\/h*h)\/((h*h**(-6)\/h)\/(h*h\/(h**1*h))) assuming h is positive.\nAnswer: h**(69470\/4823)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a minute?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -55*t + 62 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 323 = 8*u + 233. Which is greater: 312 or u?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2155990 and 4?\nAnswer: 4311980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -265, 334, 1349, 2786, 4651, 6950, 9689?\n\"Answer: k**3 + 202*k**2 - 14*k - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -479*q**6\/120 - 1871*q**4\/8 + 2*q**2 + 3144*q - 2. Find the second derivative of r(c) wrt c.\nAnswer: -2874*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5140272 (base 9) in base 4?\nAnswer: -22131213011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 114902162 to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241 (base 10) to base 14.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416943085 to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-92))\/((-12)\/(-108)*9\/(-12)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 701710 = 109290. Round o to the nearest 1000.\nAnswer: 81000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*m - 54*m + 5*p + 12 = -25*m, m - p - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -35114415493.\nAnswer: -35114415493.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1526641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -699*s - s**3 + 4568 - 774*s + 1031*s wrt s?\nAnswer: -3*s**2 - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -113 + 157. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*j**2 + 613178*j.\nAnswer: j*(25*j + 613178)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5597.804 millilitres?\nAnswer: 5.597804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1949736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125 and 1996625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 13. What is the highest common factor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -625980903 and 182731.\nAnswer: -625798172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174*g - 270 = -179*g. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 26 = 4*k, z - 43 = -18311435*k + 18311430*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165 (base 7) to base 6.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 4, 3, 12?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10.6575 and -13215?\nAnswer: 13225.6575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(120)\/(sqrt(5)*3))\/sqrt(12))**2.\nAnswer: -4*sqrt(2)\/3 + 38\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000 - 111?\nAnswer: -10110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - o + 1. Let g = 6 + -4. Let q be g\/(-3) - (-16)\/6. Suppose 2*c - q*u + 0*u = 0, -4*u = c. Give b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1082 - -1109. What is the remainder when 715\/7 + 1\/(-7) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + (-11 + 11 - (4 - -2)) + 13?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/1854 and -77\/20.\nAnswer: 18540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 164 = 2*c - 4*k, 2*c + k - 91 = 0. Let a be 165\/22*c\/3. Suppose 0 = -g + 5*l + 38, -5*g + 5*l + 0*l = -a. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 10*t + 7. Does 31 divide b(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*k**3*z**3 + 186*k**3 + 14*k*z**3 - 3*k*z + 2*z**4 wrt z.\nAnswer: 126*k**3*z + 84*k*z + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -15*b - 15, 888*p - 889*p - 1 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p + 81*p + 133*p - 7889 = 0 for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 121912051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h + y - 546, 3*h + 409 = y. Let c = h - -138. Let m(g) = -g**3 - 5*g**2 + 5*g + 5. Let j be m(-6). Solve -3*x - c = j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161545, -161543, -161541, -161539, -161537?\nAnswer: -161535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**6 + 4*x**3 + 14*x**2 + 4*x. Let q(n) = 5*n**6 + 3*n**3 + 13*n**2 + 3*n. Let w(a) = 3*j(a) - 4*q(a). What is the third derivative of w(k) wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 9*i - 7. Let u be f(3). Suppose -w = -18 + u. Suppose -3*q = a - 9, 3*a + 5*q - w = 4. Let k(y) = y - 1. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14050)\/75)\/((-2)\/3 + 0). Let c = -138 + s. List the prime factors of c.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s. Let h(g) = 59*g - 5118. What is h(n(f))?\nAnswer: 177*f - 5118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8825 (base 11) to base 5.\nAnswer: -333033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16 (b) -15 (c) -0.04 (d) 0.4 (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 325402.2 milligrams to micrograms.\nAnswer: 325402200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h + 3508 = 29*h. What are the prime factors of h?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -1844.4\nAnswer: 1844.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - -1130124?\nAnswer: 1130014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a century?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1471\/13 and 16\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwdwgvdwdgd. What is prob of sequence gwwg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6 = 5*p, -2*j + 5*p = 3*j - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/502 and 71\/333328.\nAnswer: 333328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115 + (2 - -2) - (3 - 1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -2*z + 3*p + 1, z + 4*p - 28 = 0. Suppose -7*o + 95 = q - 6*o, 487 = 5*q + o. What is the remainder when q is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/77*14\/(-4). Solve s*j = 6 + 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, f: 3, h: 4, o: 2, v: 1, k: 6}. Give prob of picking 2 k, 1 h, and 1 v.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784888?\nAnswer: 2, 13, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:01 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 615712100 rounded to the nearest 100000?\nAnswer: 615700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 3 + (-6 - (-3 + 20))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from xpxp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 6*i + 12*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -66*a + 300. Solve -3*d - a = 2*j + 7, 0 = -4*d + 4*j - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**6*(((o*o**(-21)*o)\/o)\/o)\/o*(o*o**4)\/(o*o*o**(-25)\/o*o) assuming o is positive.\nAnswer: o**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -161 - -162. Is a\/(2*4\/20248) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 86687*v + 520114. Calculate p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/3455, 35, -7?\nAnswer: -3\/3455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 20*x + 71. What are the prime factors of o(-15)?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 7:26 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52192 by 2.\nAnswer: -26096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -48, 244, -0.3 in increasing order.\nAnswer: -48, -0.5, -0.3, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14385 - 14380. Let i = 17 + -33. Let h = 1 + -1\/5. Sort z, i, h in ascending order.\nAnswer: i, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-126))\/((-44)\/((-2464)\/(-12)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -8 - (-1 + 6 + (-26 - -33)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(1 + 13 - 2)*(-4 + 4 + h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 180. Which is the third biggest value? (a) 0.3 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7565*f**2 + 13644*f**2 + 633*f**3 - 2*f**5 - 7179*f**2 wrt f.\nAnswer: -120*f**2 + 3798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - 4*x**3 + x**3)*(9*x + 0*x - x).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*2\/(-65) + 2160\/(-13). Let a = f - -165. Suppose 2 + 22 = 5*o - 4*m, 5*o = -2*m + 18. Put o, a, 14 in descending order.\nAnswer: 14, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h - 1. Let p be a(-1). Let w(f) = -4*f**3 - 3*f**3 - 6 + 8*f**3 - f + f**2. Let x be w(0). Which is greater: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 4*j**2 + 3*j. Let y be w(4). Let q be ((-6)\/(-4) - 1)*y. Let a be (-2)\/q - 128\/(-6). What is the greatest common factor of a and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) + 0.\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 819, -8 in decreasing order.\nAnswer: 819, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 less than -3068?\nAnswer: -3068.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 4. Let o be n(5). Let k be (0 - o)\/((-6)\/24). Let u(c) = c**3 - 4*c**2 + 2*c - 6. Let f be u(k). Solve f*w + w + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048*-165.1\nAnswer: -7.9248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13968 is divided by 2323?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(88)\/(-1*sqrt(44)) + sqrt(88)\/(-3*sqrt(1331)))**2.\nAnswer: -280*sqrt(2)\/33 + 19874\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from njnnnntjjnnpnttnjnp.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 517*-98.\nAnswer: -50666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 c when two letters picked without replacement from {c: 7, y: 1, w: 6, p: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 25*d - 72*d + 35*d + 18*d. Let k(l) = 189*l**2. What is k(v(a))?\nAnswer: 6804*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -11?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1 - -2 - 1) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, v: 3}. What is prob of sequence vtt?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let y be 15\/6 + r\/2. Suppose -y + 19 = 4*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87250?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -332 (base 6) in base 2?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fc9 + -49?\nAnswer: -2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((sqrt(1053)*3 + 1)**2 - sqrt(1053)) + -5 + -5).\nAnswer: -18936 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/8*(-2)\/(-20)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18918 and 2?\nAnswer: -37836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -2319 and 134912.\nAnswer: 132593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1010011000000110110110?\nAnswer: -1010011000000110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 + (-13 + 9)*2. Suppose 68*t + 1600 - 15132 = l. Calculate the remainder when t is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 52 = b, -5*b - 188 = 3*z. Let a = b - -44. Suppose o - 113 = -0*o + a*s, 2 = 2*s. Calculate the highest common factor of 13 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 16*i + 69. Suppose 0 = -2*j + 8, -4*o - 3*j = -7*j + 48. Let v be k(o). Sort v, 30, 2, 0 in descending order.\nAnswer: 30, v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -353 + 361. Calculate the greatest common factor of 200 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1374 - 12?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/3, -49, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*v + 9 + 4 = 5*u + 488*v, 0 = -3*u + 3*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*m + 3)*(-3 + m**4 + 3) + (-2*m**3 - 14*m + 14*m)*(0*m**2 - 4*m**2 + 5*m**2).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 4. Let c be u(-3). Let a(k) = 6*k - 113 + 63 - 7*k**2 + 57. Let f(p) = -p**2 + p + 1. Calculate c*f(z) + a(z).\nAnswer: -2*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00547970697 rounded to 4 dps?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157 - 187 = 3*o - 2*a, -3*a = o - 1 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/(-63))\/((-102)\/(-357))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/7)\/(-5*(-88)\/385).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.14678 * -5751\nAnswer: -844.13178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 - 1641 = -579*x + 50 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 2:19 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 765039.7ml to litres.\nAnswer: 765.0397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - -465. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.1 and -1248573.\nAnswer: -1373430.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4 - 19. Let n = 161.25 + -162. Let q = n + 0.35. Which is the biggest value? (a) 3 (b) m (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in -0.5, -1\/3, -287, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t + 5 + 4*t + 3*t - 15. Let s be (14\/(-7))\/((-5)\/5). What is h(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r - 1259874 = -121*r. Does 75 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-56)\/5 + 10)*-1)\/(-1 + 2).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*v**3 + 73*v**3 + 4 - 2 - 14*v**3 to x*v**2 + n*v + z + d*v**3 and give d.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**3 - 2*p**2 + 12*p - 40. Determine u(4).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -33, 399 in ascending order.\nAnswer: -33, -2, 1, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 26 = 4*m, 0 = 5*f - 3*f - 4. Suppose 0 = m*z - z - 15. Suppose 0*p + z = 3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195494 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127396954 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1956 and 562.\nAnswer: 549636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1844 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/8 or 56.384?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -217, -21, 58 in decreasing order.\nAnswer: 58, 0, -21, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160 or -9553?\nAnswer: -9553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 1 + 1 + 50*j - 124*j to the form s + z*j**2 + k*j and give k.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000857717 to 7 decimal places.\nAnswer: 0.0000858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4417*k - 4416*k - u - 9, 43 = 3*k + u for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 29605.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than or equal to 22\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -49227 and 7?\nAnswer: -344589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(3\/10)*v))\/v**(-5\/3) assuming v is positive.\nAnswer: v**(41\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 8*m + 4. Let y be q(-5). Suppose -177 = -c - y. Let s(r) = r**2 - 11*r + 3. Calculate the remainder when c is divided by s(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -1, 1, -166 in ascending order.\nAnswer: -166, -7, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**5\/15 - 31*b**4\/6 + 22*b**3\/3 + 31*b**2\/3 - 64*b\/3 - 1146. Suppose r(g) = 0. Calculate g.\nAnswer: -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 10*g + 2692 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1 - (-75)\/65). Let g be s\/3*-21 + (-4)\/(-1). Suppose -7*d + 1341 = g. Is d a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*u - 4*p - 23, -3*p = -3*u + 21. Let y be (-2 + (0 - (-7)\/2))*888\/666. Solve 4*o + u*r - 5 = -o, -2*r = -3*o - y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**3 + 33004*r**2 + 17032120*r + 12755532.\nAnswer: 4*(r + 1031)**2*(4*r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010200012210201121 - 11?\nAnswer: 2010200012210201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1. Let u(d) = d + 718176*d**2 - 6 - 2618175*d**2 + 0*d. Let h(o) = -6*f(o) + u(o). Let p be h(-1). Round p to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1615 = -3*d + p, 5*p - 510 = -d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2*sqrt(90) + sqrt(10) + sqrt(10))*-2)\/(5*sqrt(25)\/(5*-5*sqrt(5))).\nAnswer: 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {r: 1, y: 1, f: 1, o: 1, g: 2, k: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u - 5. Let h(v) = -8*v + 6. Let t(q) = 5*h(q) + 6*p(q). Let f(d) be the first derivative of 5*d**2 - 2. What is t(f(i))?\nAnswer: 20*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6530 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 352\/11 - (-5 - -1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/6 + 8\/24)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 15*l**2 + 50 - 30 as w + y*l**2 + j*l and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 208*i - 213*i + 10, 2*i = f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*(-2*sqrt(240) - sqrt(240)))\/((sqrt(108)*-1 - sqrt(12))*6))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169.7 - 170. Which is the second smallest value? (a) 3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803581811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 28. Let g be d(-14). Solve g = -7*l + 8*l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + (68\/12 - 1))*21. Suppose 0 = 5*s + d - 29. Suppose 0 = -s*u - u + 1012. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(125) + sqrt(125) + 2) - ((sqrt(125)*1)**2 + 2)).\nAnswer: -116 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6099903.99969 - -6099792. Let r = q - -112. What is r rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/(22\/330).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**5\/60 + u**4\/12 - u**3\/3 + 25*u**2. Let d be z(2). What is the greatest common factor of d and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7198?\nAnswer: 2, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3081 = -7*d + 244*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16969584 and 7038.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 - -8 - (0 + -1). Suppose 0*s - d = -4*s + 6, -5*s - d = -12. Let o(t) = 0 - 4 + 0*t**s + t**2 - 2*t. What is o(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177 and 1515.\nAnswer: 89385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 419536 and 209768?\nAnswer: 419536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4*q = 8 + 3, -2*u + 2*q + 13 = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43255 - -23120. Let f = l - 66375.470029. Let i = 0.47 + f. What is i rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*a = 12, o - 3*o + 3*a = 19 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 3, h: 1}. What is prob of sequence qqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/34 and -19\/21216.\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 9*n - 22. Give u(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1928477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3\/2*c**3 + 9*c**2 + 18*c + 12 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 15*p = 132. Let y(c) = 3*c + 18. Let x be y(5). Are p and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1978*a - 1971*a + 7880*a - 1972*a - 1984*a.\nAnswer: -25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-35))\/(10\/280*-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20, 7, 56, 127, 220, 335?\n\"Answer: 11*c**2 - 6*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 + 4 = 0. Let l(h) = -4*h**3 - 2*h + 1. Let b be l(o). Let w(m) = m - 5 - 6 + 5. Give w(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2064\/7*i**2 - 15*i**4 + 0*i + 3\/7*i**5 + 0 - 984\/7*i**3.\nAnswer: 3*i**2*(i - 43)*(i + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v + 0*v + 6 - 7*v + (-3*v + 0 + 0)*(-1 - 68 + 5).\nAnswer: 190*v + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 c when two letters picked without replacement from slcsspsccjs.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46472 is divided by 46060.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377, 386, 403, 428?\nAnswer: 461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 81. Let r be s(-24). Suppose -r*o = 21 - 48. Solve 0 = 5*z - o + 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*s + 20 = 0, 6556*o - 20 = 6553*o - 4*s for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 20 + 4 + (429 - 426).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5 in decreasing order.\nAnswer: 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 6*h + 245. Let o be p(0). Suppose -13 = s - 2*w - o, -2*w = -4. What is the greatest common divisor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/8 + r**3\/3 - 3*r**2\/2 + 2*r. Let z(a) be the first derivative of u(a). Differentiate z(f) with respect to f.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.28 + 3.68. Let t = -3 + l. Let q = -1\/12 + 5\/24. Sort q, t, -4 in ascending order.\nAnswer: -4, q, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61358 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2863, 2937, 3123, 3475, 4047, 4893?\nAnswer: 6067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (280\/(-280))\/(1\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 14*d**2 + 0*d**2 - 39*d**2 - 31*d**2 - 3*d**3.\nAnswer: -5*d**3 - 56*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*121\/6)\/(6\/(-522)). Let f = -56243\/16 - n. Calculate the common denominator of f and -35\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/51358 and 23\/77063.\nAnswer: 3957801554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 k when three letters picked without replacement from {l: 2, k: 17}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(6 - 2*a - 12 + 7) to v*a + p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 834167.\nAnswer: 6\/834167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19338 and 85303434?\nAnswer: 1758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14844 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -2981 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-44)*374\/1.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -10*v**5\/3 - 724*v**4\/3 - 1718*v**3\/3 + 413908*v**2\/3 - 1050176*v - 442176 = 0.\nAnswer: -49, -47, -2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (38\/(-4) + -1)\/(-15*(-7)\/(-280))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from qawwqyyay.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4652121986 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -1\/19, -2, 70, 13.99?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 188, 0.5, -0.6, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -57571 (base 9) in base 12?\nAnswer: -1a261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o + 160. Give d(29).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9941*q - 30 + 19793*q - 9889*q + 32.\nAnswer: -37*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17179870.\nAnswer: 2, 5, 71, 24197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3635.79 + -3597. Round d to 0 dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(128) + sqrt(128) + 2) + sqrt(128) + 4*sqrt(128) + -1)**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2.3905707 months?\nAnswer: 0.199214225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:45 PM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from ssysmxtmmtss.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -271*l + 278*l. Calculate the remainder when 24 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-55*c + 267*c + 61*c)*(6 + 5 + 9) to o + t*c and give t.\nAnswer: 5460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1056169, 1056274, 1056379, 1056484, 1056589, 1056694?\n\"Answer: 105*s + 1056064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -47*d. Give n(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(11) + sqrt(44)\/sqrt(4) + 1)**2 - (3 + sqrt(396))).\nAnswer: -2*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -871, 3, -2, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, -2\/3, -2, -871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((11\/(-1))\/1)\/8)\/((-58)\/464).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from gxewkwmxmwew?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 3871002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzwb. What is prob of sequence wbw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 77, 122, 167, 212?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 38 - 68. Let x = 28 + -26. Sort x, k, -1 in descending order.\nAnswer: x, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14745458 is divided by 37906?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*h - 3*h = 182, 0 = 3*p + 3*h - 282. Suppose -4*y - z + 2*z = -p, -z = -5*y + 115. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1\/5829, 3 in ascending order.\nAnswer: -0.5, 1\/5829, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 379 - 379 - 4*d. Let v(b) = -3*b. What is v(u(h))?\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/200*(-4)\/42*(0 + 5)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 35766*m - 106600563.\nAnswer: -3*(m - 5961)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1737070 rounded to the nearest 10000?\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 + 2*l - 13. Let z(m) = -m**3 + 17*m**2 + 19*m - 14. Let h be z(18). What is the remainder when 128 is divided by o(h)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236 + 483 - 217)*(x + 8*x - 7*x).\nAnswer: 60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + 7*m - 4. Let a be u(5). Suppose a*t = 7*t - 12. Solve -t = -3*c, -n + 3*c - 9 = 2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667191477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20892*t + 20893*t - 17 - 278 + 57 in the form j*t + n and give n.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, l: 1, h: 1, i: 6}. What is prob of sequence iii?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-2) + (-1)\/(-2). Let m = -6\/23 - -76\/115. Which is the closest to m? (a) g (b) -2\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j - 2. Does 8 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/2)*288\/(-1224)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 1\/4 (c) 3\/2 (d) 0 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 146181. Let q(c) = 2*c. What is q(v(y))?\nAnswer: 2*y**2 + 292362","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*h = -t - 8, h + 4 = -3*t. Let d be (-12)\/(0 - 2 - -1). Let b = t + d. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 39\/(-52) + (-1350)\/(-8). Let f = 250 - s. Let g = f + 157. List the prime factors of g.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*1 - (sqrt(19) + sqrt(19)*4 + 0))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55499 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m. Let k(h) = -22*h - 6. Let g(p) = -25*p - 4. Let r(d) = -3*g(d) + 2*k(d). What is -2*r(a) - 5*w(a)?\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 66879200 to the nearest 100000.\nAnswer: 66900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 18 = 3*y. Suppose v + 58 = 5*t - y, 69 = 5*t + 4*v. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2684, 9, -3\/4, -41, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = w - 5*s, 0 = -3*s - 3 - 9. Let h be (30\/w)\/(1*3). Factor -2\/9*a - 2\/9*a**2 + 0 + h*a**4 + 2\/9*a**3.\nAnswer: 2*a*(a - 1)*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 13. Let j = -13 + 13.5. Let k = 0.4 - 0.2. What is the nearest to -2\/5 in j, i, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u - 5*m = -39, -2*u = m - 19. Which is the second biggest value? (a) -2 (b) u (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 53. Let b be 4 - (-12)\/(-9)*m. Solve t = -b*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*a**2 + 16 - 16 + 2*a**3.\nAnswer: 2*a**3 + 23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 15) to base 8.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-2)\/(-40)). Let x be (-16)\/(-2)*12\/16. Let r = g - x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c. Let w(k) = -3*k**2. What is w(u(y))?\nAnswer: -363*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14018, -13968, -13918, -13868, -13818, -13768?\n\"Answer: 50*s - 14068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4821504 and 9288.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 4742.00274 + -4742. Which is the third biggest value? (a) m (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 25*d = -27*d + 2117783, 0 = -5*i + 5*d + 3529655. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4 + sqrt(18).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 4*s**2. Let d be m(-2). Solve -2*u + 2*o + d = -0, -3*u - 5*o + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1430 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -5*s**2 + 12*s. Let r(g) = -418*g. What is h(r(w))?\nAnswer: -873620*w**2 - 5016*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-27 - -10 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*a**3 + 73929*a**2 + 81756*a + 7911 = 0 for a.\nAnswer: -879, -1, -3\/28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 2*h**3 + 4*h**3)*(-5 + 11 - 5 + (4 - 6 + 1)*(3 + 0 - 4) + (2 + 1 - 2)*(-5 - 5 + 1)).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y**(-18)*y)**(-32))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69871*i - 560 = -69843*i for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 8*x**2 - 1544*x - 30277. Determine r(211).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -395804 - -395804.5400096. Let s = a + -0.54. Round s to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, g: 1, b: 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: What is the value of -9 + (2 - ((-2 - -9) + -10) - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -w - u, 0 = 4*w - 0*u - u - 83. Let s = -11 + w. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2580 and 1188060.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*h - 2*w - 2, 5*w + 239 = -3*h + 257 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/36)\/((-2)\/(-6)))\/(-4*33\/88).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 11056 = -9*n - 4*r, -5*n = -4*r - 13822. What is the highest common divisor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 29*a - 172. Let m be i(6). Suppose 5*z = 3*x + 52, 40 = 3*z + z - 2*x. Solve 9*j = z*j + m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90198 and 45018824.\nAnswer: 405169416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39494065?\nAnswer: 5, 13, 19, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1512 - -1527.46. Round g to 1 dp.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/40*-2)\/((-89)\/48950*55)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9180bc - 70?\nAnswer: -91815c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 60\/80 - (-14)\/(-8). Let g = 4 + r. Suppose s + i = -4*s + 1048, 4*s - 827 = g*i. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2195, -4390, -6589, -8792, -10999, -13210?\nAnswer: -15425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.8 + 37.8. Let u = o + -32.3. What is the second smallest value in 3\/5, 5, u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a845 (base 11) in base 12?\nAnswer: 15777b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + (-45)\/(-75). Let u be ((-2)\/(-4))\/((-11)\/(11\/(-2))). What is the fourth smallest value in -3.8, f, u, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:49 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xax when three letters picked without replacement from axkaxk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 16*p + 245. Determine l(-16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/n**40)*n*n**(2\/55) assuming n is positive.\nAnswer: n**(2257\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14288100 divided by -36825.\nAnswer: -388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -26, -49, -92, -161, -262, -401?\n\"Answer: -l**3 - l**2 + l - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3516151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8 + -9 - (-3 + 0). Suppose 4*v + x = 216, 2*v = v - k*x + 47. Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2808\/4095 - 10*4\/56.\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3280201 is divided by 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6724 and -0.6?\nAnswer: 4034.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mtjmvmdtvjmjmrt. What is prob of sequence rmt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 4*i**2 - 4*i - 7. Let m(u) = -u**3 - 10*u**2 - 8*u + 4. Let y be m(-9). What is the remainder when 100 is divided by f(y)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41\/222 + -2\/111. Let k = 5599\/3985 - 4\/797. Which is the third smallest value? (a) k (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -98a0 - 1473?\nAnswer: -10263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a millennium?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 8*t - 2*t)*(-t + 0*t + t**3 - 3*t**3).\nAnswer: -8*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*a - 2 = 6, 70 = -5*v - 5*a. Let s be (-150)\/(-54) + (-2)\/v. Let i(r) = -r + r + r**2 + r**s + 5 - r. Calculate i(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067 * 2159.2\nAnswer: 144.6664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34394743?\nAnswer: 71, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19489892 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**3 + s**2 - 2*s + 1. Suppose 3*y + 3*l = 0, 0 = 3*y - 3*l - 15 + 9. Let h be n(y). What is the highest common factor of h and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1975111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3dd + -4cb8?\nAnswer: -48db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 811800 and 769032?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 0, -11, 312 in descending order.\nAnswer: 312, 2, 0, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 609?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229341 is divided by 75.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 133 = 4*q + w, 0 = -2*q - 2*w + 58. Let t = q - 18. Let y be t\/20 - (-4)\/(-10). Which is the closest to y? (a) -4 (b) 0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 3*q - 3*n - 26, -3*n = -q + 11. Let f(h) = 16*h - 60. Let i be f(q). Calculate the greatest common divisor of i and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1094070 and 3345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4 + 2. What is the units digit of (-2)\/(-1) - (-2 + v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758272.\nAnswer: 2, 3, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/24 + m**3\/6 - 6*m**2. Let d be j(-5). Suppose i + d = -0*i. Let x(o) = o + 2. Calculate x(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 2*r**6\/21 - 12*r**5\/35 + 4*r**4\/21 - 21*r - 16. Let d(l) be the first derivative of n(l). Determine b so that d(b) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 2*b - 8, 0 = b - 12*f + 14*f - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 3:09 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + p = 0. Suppose -5*i - 103 + 13 = p. Let z = 34 + i. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4454, -4463, -4470, -4475, -4478, -4479?\n\"Answer: q**2 - 12*q - 4443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 31 (b) -1\/2 (c) -6 (d) 2\/19 (e) -188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-402 - -392 - (1 - 1 - 3)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2354 = -115*d + 22256. Solve 7*n = -249 + d for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = -272*q + 274*q - 62, 4*v - 5*q = -20 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -15*z - 94, 0 = -32*f + 34*f - 5*z - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6 = 0, -9*x - 4*y - 3 = -4*x. Let k(t) = 2*t**2 + 6*t + 4. Let h be k(-4). Let l = 7 - h. Sort x, l, 0.\nAnswer: l, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*5.07467\nAnswer: 1.522401","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 3 (b) -12 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27104222 or -27104226?\nAnswer: -27104226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73247205009\/2 - -1300430878052299\/35508. Let j = -3\/5918 - n. Let k = 151807\/22 - 6898. Calculate the common denominator of k and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.07007 - -2.082. Round p to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + (sqrt(75)*-2 + -3 - (sqrt(75)*1*-4 - sqrt(75) - sqrt(75))))*5 + 0)**2.\nAnswer: -3000*sqrt(3) + 30224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14391 - 11863. What is the highest common divisor of 395 and t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7685 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**(-1)\/y*y))**(-21)\/(y\/(y**(1\/3)\/y)*y)**(-1\/9))**(-12))**39 assuming y is positive.\nAnswer: y**(58552\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let p(a) be the second derivative of -a**7\/56 + 23*a**4\/12 - 8*a. Let z(v) be the third derivative of p(v). Calculate z(g(b)).\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 + 455*f**2 - 153*f - 258. Calculate l(-152).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-1 + 1600\/(0 + -4)).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 1. Let p(f) = 3*f + 1. Let j(o) = 5*p(o) - 4*u(o). List the prime factors of j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 4*t + 2. Let y be a(-3). Let f(p) be the first derivative of y - 4 + 2*p**3 + 5 - 2. Let o(z) = 2*z. Give o(f(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 6. Let v be (-1 - -30)*(d + 4). Suppose 0 = -5*f - v + 114. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, f: 8}. What is prob of sequence fafa?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 4*p + o - 147, -5*o = 3*p - 84. Differentiate 9 + 17*x + 21*x - p*x with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/(17 + -15). Sort -3, 5, c, -2 in descending order.\nAnswer: 5, c, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s**2 + 2*s - 6. Let o(v) = -5*v**2 - 2*v + 7. Determine 3*g(d) + 2*o(d).\nAnswer: 2*d**2 + 2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*l**2 - 20*l**5 - 24*l**2 + 48*l**2 + (-3*l - l**2 + 3*l)*(l**3 - 4 + 4) - l**5 + 2*l**5 - 3*l**5.\nAnswer: -23*l**5 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 5*f**2 + 3*f + 3. Let a be d(-2). Let y = a + -13. Let w = 5 - 3. Sort y, 3, w in ascending order.\nAnswer: y, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 313954 and 1569770?\nAnswer: 1569770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4778324 divided by 2389162?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a week in seconds?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2710121 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: Three letters picked without replacement from oihovowvihioivoi. What is prob of picking 1 i, 1 o, and 1 w?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26211 - -26214. Let y(n) = 5*n - 29. Let a(j) = -14*j + 88. Determine h*a(o) + 8*y(o).\nAnswer: -2*o + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11430, -46023, -103792, -184743, -288882, -416215, -566748, -740487?\nAnswer: -937438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 384189 >= -368\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -75412883 divided by -959\nAnswer: 78637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 - 3*f**2 + 10*f - 7. Let k(i) = -10*i**3 + 16*i**2 - 50*i + 36. What is 3*k(q) + 16*r(q)?\nAnswer: 2*q**3 + 10*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4753.0010801 + -4753. What is q rounded to five decimal places?\nAnswer: 0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -295.0354 + 0.0354. Let h = 294.95 + d. Is 4 >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(242)*-2)**2*-4 + 2*sqrt(242) + -2 + -5)*6*1*6.\nAnswer: -139646 + 792*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liilleei. What is prob of sequence el?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 175901.5818ns in weeks?\nAnswer: 0.0000000002908425625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -352.3+-865\nAnswer: -1217.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*s + 12676 - 73890. Which is smaller: s or -479?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {v: 1, k: 9, x: 1, j: 3}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 41 - 5 = 0. Let i(w) = 4*w - 8. Does 13 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/4 - 10\/(-4 - -24). Let w be -3 + 1\/t*-14. Solve 4*q + w*x + 8 = -20, 3*x = -q - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13559 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -101. Let c = -11 + z. What is the highest common divisor of 130 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 162888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -2*s - 2*s - 8*m, 2*s + 3*m - 8318 + 8291 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65049446 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 6) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 195 + -169. Solve 0 = -x*a + 22*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.366 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 1\/5*r**3 - 3\/5*r**2 + 0*r.\nAnswer: -(r - 1)*(r + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 462 + 2822?\nAnswer: 2c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, 85, 112, 135, 154?\n\"Answer: -2*l**2 + 37*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59047879, -59047884, -59047901, -59047936, -59047995, -59048084, -59048209, -59048376?\nAnswer: -59048591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 18087466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 11*j**2 - 15*j + 47. Give y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 - -0.05. What is the nearest to -2\/9 in 3, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -47) + -58 + 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 252*k**2 + 977*k + 2 - 4 - 34*k**5 - 975*k wrt k?\nAnswer: -2040*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -5. Let t(i) be the third derivative of i**5\/30 - 13*i**4\/24 + 5*i**3\/3 - 2*i**2 + 25. What is the tens digit of t(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -7818\nAnswer: 16\/3909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.27247 rounded to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**5\/60 + 6*o**2. Suppose -4*y = -2 + 34. Let a(b) = 7*b. Let f(m) = 11*m. Let s(x) = y*a(x) + 5*f(x). Determine s(l(i)).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7741607.\nAnswer: 19, 433, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3092 (base 10) to base 8\nAnswer: -6024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 10, 2, -1\/7, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -14, -5, -20\/19, -1\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + a - 4 = -2*a, 4*x - a = -12. Put 1, x, -16, 3 in descending order.\nAnswer: 3, 1, x, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 425.4981 micrometers in kilometers?\nAnswer: 0.0000004254981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**5\/11 - 1338*i**4\/11 + 44522*i**3\/11 - 241398*i**2\/11 - 1160856*i\/11 = 0.\nAnswer: -701, -3, 0, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4*f - 2*f + 5*f)*(0*f + 4*f + 0*f) to z*f + q*f**2 + m and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.18688ml to litres.\nAnswer: 0.00018688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, p: 5, b: 1, j: 1}. What is prob of sequence ggjg?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 29. What is the third smallest value in 2\/7, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b**2 + 133*b - 889. Give i(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 0 + (32 - -2). Let w = x + -35. Let a be (w\/6)\/(3\/(-18)). Solve 2*t = 3*t - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**3 - 10*d**2 - 6*d - 6. Let m(r) = -14*r**3 - 29*r**2 - 17*r - 17. Let w = -77 + 71. Calculate w*m(x) + 17*j(x).\nAnswer: -x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 8, s: 2, l: 4}. What is prob of picking 2 m and 2 s?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 0 - 1)*(450*w - 397*w + 514*w) in the form c*w + f and give c.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 477065478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 3070\/37, 33 in descending order.\nAnswer: 3070\/37, 33, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -192*(2 - (-3131)\/(-3)). What is c rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.9 + -3.9. Let v = 42.71 - g. Let t = v + 1.29114. What is t rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*h + 182*h = -k - 3, -4*k + 3*k = 2*h + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -41 + -4 + (2 - -1)*1. Is -42 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 + 3479494*v\/3 + 3479492\/3.\nAnswer: 2*(v + 1)*(v + 1739746)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 267 = p + 2*y, 4*p + 1071 = -5*y. Let r = -263 - p. Calculate the remainder when 8 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2751728, 5503390, 8255052?\n\"Answer: 2751662*n + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 9.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -16, -72, -182, -364?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 239.3052ml?\nAnswer: 0.2393052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1253 + -1253.541. Let b = 0.031 - q. Round b to 2 dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159711?\nAnswer: 3, 139, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-8))\/(14*21\/3528). What is the second biggest value in o, 9, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*r**4 + 20*r**3 + 133 + 5*r**2 - 34 - 42*r**4 - 40*r**4 wrt r?\nAnswer: -240*r + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6138174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4239 + 4241. Solve 23 = 4*n - 3*b, 0*b + f = -4*n - 2*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - -1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - -60. Let o = -101 + z. List the prime factors of (83 + -2 + o)*(-6)\/(-12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -5, 63, 2\/3, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (42 - 67) + 29?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8359*h + 10838*h - 17109*h in the form d*h + f and give d.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.8079 - 0.3\nAnswer: 3.5079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -923*h**6\/12 + 199*h**4 + 2072*h**2 + 3*h. What is the second derivative of o(r) wrt r?\nAnswer: -55380*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -680 + 50*h**3 + 341 + 339.\nAnswer: 50*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = 0, 33*v + 22 = 35*v + 2*y. Solve -8 = 5*q - 4*f, -3 = 5*f - v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5801172, 5801159, 5801138, 5801109, 5801072, 5801027, 5800974?\n\"Answer: -4*g**2 - g + 5801177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9e4 (base 16) in base 7?\nAnswer: 10245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(3 + 11*l**2 - 3)*(l + 0*l - 3*l).\nAnswer: -22*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1103.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 7:19 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 7*a = -3. Let c be (-8)\/(-6) + (-2)\/a. Differentiate 0 - 3 + 2*v**c + 2 with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -554 - -1326. What is the remainder when g is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6649021?\nAnswer: -6649022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 7:10 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8336190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 264 - 97. What is the remainder when r is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -1, -0.3, 42615?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x**2 + x - 5*x**2 - x - 2*x**2. Let u(c) = -21*c. Give u(b(z)).\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -2. Let u(o) = -2*o**3 - 22*o**2 + 2*o + 27. Let z be u(-11). Suppose -z*q = -c*q - 12. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k + 45*k + 161 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**2\/11 - 413*j\/11 + 2940\/11 = 0. What is j?\nAnswer: -420, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujjrjjjjuuujjbuuj. Give prob of picking 2 u.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*x**6 + 79*x**3 - 6*x**2 - 225*x wrt x?\nAnswer: 13440*x**3 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o**3 + 3*o**3 - 17*o**3)*(-3 + 2 + 3 + 4 - 2 - 3 - 3 - 1 + 2 + 0 + 3 + 0 + 0 - 1 + 0 + (2 - 2 + 1)*(2 + 2 - 3) + 0 - 2 + 4)*(5 - 5 + 2*o**2).\nAnswer: 88*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)\/sqrt(800))\/(6*sqrt(4)*4 - sqrt(4)).\nAnswer: sqrt(11)\/230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 17*t + 2. Let n(u) = -3*u**2 + 52*u + 8. Let f(g) = 17*j(g) - 6*n(g). What is the remainder when 113 is divided by f(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 371210671?\nAnswer: -371210671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 325 or 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 3*u)*(6 - 4 - 20).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-12)*(-6)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.072, -21, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 89 = 17. Suppose g = 3*d + d + 4*i, -2*d - 5*i + 27 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 3*k + 43 + 39 + 39.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 102\/(65\/(-10) + 3 + 5). What is the greatest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 88?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) 1488 (d) -1\/9 (e) -4 (f) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 + 54. Let x be o\/9 + (-30)\/135. Suppose x = 13*c - 126 - 134. Calculate the greatest common factor of 160 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.085 + -0.165. Let s = o + 0.08. Let n = -3 + s. What is the second biggest value in -2\/17, -4\/9, n?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/((-9126)\/378)*(-1)\/((-7)\/33).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*g**3 - 19*g**3 - g**2 - 20*g**3 + 14*g - 18*g**3 - 15*g**3 + 2 in the form z*g**3 + o*g + k*g**2 + r and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 17*m**3 + 3478*m**2 - 26*m - 28. Let k(x) = -8*x**3 - 1740*x**2 + 12*x + 13. Give -13*k(g) - 6*l(g).\nAnswer: 2*g**3 + 1752*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195780410?\nAnswer: 2, 5, 7, 53, 113, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 9*l - 59. Give v(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -254 - 0.5\nAnswer: -254.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(833) + 3) + sqrt(833))**2 - sqrt(51)\/((sqrt(3) - sqrt(27) - sqrt(3))*6).\nAnswer: 1513*sqrt(17)\/18 + 869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6237)\/(-540))\/(399\/76)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 8 - 180*s - 3 - 149*s to the form l + p*s and give p.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 10*w**2 + 170*w + 16. Let s be c(19). Let q(p) = -9*p. Calculate q(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**4\/8 + 11*x**2\/2 + 2. Let d(m) be the second derivative of f(m). Let y(o) = -5*o + 5*o - 2*o**2. Determine d(y(p)).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37421882 is divided by 72523?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 762326 is divided by 1873.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 82*y - 9*y + 124*y as q + d*y and give d.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -653a6129?\nAnswer: -653a612a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/7 of a week in hours?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -42*s + 8. Suppose -6*u + 22 = 46. Let p(x) = 14*x - 3. What is u*l(t) - 11*p(t)?\nAnswer: 14*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2049372595 is divided by 6263.\nAnswer: 6261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14175 + 1169. What is the tens digit of u\/84 + (-1)\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008292371 rounded to 6 dps?\nAnswer: 0.000829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.08, 1, -0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -58. Suppose 8 = 4*v + 2*d - u, 4*v - 5*d = 34. Suppose v*o = -2*f + 2*o - 4, -5*o = 3*f + 4. Solve -f*r = 3 + 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.14?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -317, -1272, -3871, -8936, -17289, -29752, -47147?\nAnswer: -70296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -413857800 to the nearest 1000000.\nAnswer: -414000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.7 + -2. Let o = 1 - z. Let a = -35 - -29. Do o and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 385506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65013.5 - -65013.7599756. Let d = 0.26 - b. Round d to 6 dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164 - -163) + 57 + -121?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d - 440 = -53*d. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 58*h - 2. Let i(q) = -347*q + 11. Let m(j) = -6*i(j) - 34*w(j). Find the first derivative of m(s) wrt s.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 47 and 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**3 - 16 + 28 + 28*a**3 - 7*a**3 - 85.\nAnswer: 5*a**3 - 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 121 in 3, -5, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -35, -93, -175, -275, -387, -505, -623, -735?\n\"Answer: h**3 - 18*h**2 - 11*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 78 - 83 + 172 - a**2 + 0*a**2. What is c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 2350\/348953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + 103 - (0 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.4 - -13. Let j = 0 - -0.1. Which is the closest to j? (a) f (b) 5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 - l**2 - 2*l - 3. Let r(k) be the second derivative of k**5\/20 + k**3\/6 + k**2\/2 + 4*k. Give -b(f) - 2*r(f).\nAnswer: 2*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9913 at most -13317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 15. Let x be a(5). Suppose x*z - 10 = 10. What is the remainder when 13 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**3\/11 - 438*q**2\/11 + 20*q.\nAnswer: -2*q*(q + 110)*(2*q - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 250821*k - 250829*k - 5*c, -3*k - 62 = -c for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*j**6*v - 20*j**5*v - j**2*v - 192*j**2 + 2*v wrt j.\nAnswer: -3600*j**3*v - 1200*j**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d - 12. Let j be d\/11*-2 - 2. Let k be 1 + (20\/15)\/(-2) - 0. Which is the closest to k? (a) -3 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09413 to 3 decimal places.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196582.\nAnswer: 2, 227, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455 is divided by 121.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/1872 and -71\/670414.\nAnswer: 627507504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiiuuuiztzuq. What is prob of sequence uit?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2171.953 to the nearest ten.\nAnswer: -2170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2136 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-76)\/(-874) - (420\/69 - 4). What is the third smallest value in 3, -41, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 6, -n + 0*h = -h + 14. Let m(w) = -w**2 - 11*w + 15. Let s be m(n). Solve -5*y - 4*x + 9 = 0, 5*y - s*y - 18 = 2*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-9)*57\/2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2\/9, 0, -4.\nAnswer: -4, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y + y - 2*y**2 - y**2 - y**2 + 4*y**2 + (0*y + y - 3*y)*(-43*y - 29*y - 137*y).\nAnswer: 418*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*w = 3*a - 56, -2*a + 3*w + 36 = 0. Suppose -8 = 3*c - 2. Let b be ((-12)\/a)\/c*10. Sort b, 2, -1 in decreasing order.\nAnswer: b, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/7 - 4584548*d**2 - 64183678*d\/7 - 32091840\/7 = 0.\nAnswer: -1, 16045920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 14*d - 8*d)*(-2*d + 0*d + 4*d)*(2*d**2 - d**3 - 2*d**2).\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/(-960)*(312\/169)\/(-2).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26462 and 707.\nAnswer: 185234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 413, 655, 639, 365?\n\"Answer: -129*v**2 + 629*v - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {k: 2, u: 1, g: 3, y: 6, p: 5}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3*t**4\/5 + 82992*t**3\/5 + 575795592*t**2\/5 + 5042925888*t + 55383955440 = 0.\nAnswer: -13810, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0 - 1\/6*y**3 - 1\/24*y**4 + 0*y + 8*y**2. What is l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(1 - 28\/24). Let q(p) be the third derivative of -p**4\/24 + 4*p**3\/3 - 11*p**2 + 2. What is the remainder when 6 is divided by q(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*i**2 - 7*i**2 - 3*i**2 + 21*i**2 in the form x*i**2 + a*i + o and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/720 - 7*c**5\/90 + 5*c**4\/12 - 2*c**2 - 33*c. Factor a(r).\nAnswer: -r*(r - 2)*(r + 30)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7)\/(147\/6) + (-3381704)\/(-1043)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6069, 24458, 55429, 99252, 156197, 226534, 310533, 408464?\n\"Answer: 45*t**3 + 6021*t**2 + 11*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/12*(87\/15 - 4). Let a(p) be the first derivative of t*p**2 + 0*p**3 - 3*p - 4 - 3\/8*p**4. Factor a(m).\nAnswer: -3*(m - 1)**2*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-5\/7)*i)\/(i*i**1*i*i))**(24\/11)\/((i**(2\/23)*i**(2\/9))\/((i\/(i**(-8)\/i))\/((i\/(i\/(i**(3\/7)\/i*i*i)))\/i))) assuming i is positive.\nAnswer: i**(18463\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3083 (base 15) to base 3.\nAnswer: -112001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-2)\/(-20)*-2). Let s = i - -7. Suppose s*b - 44 = -5*t - 9, t = 4*b - 15. Calculate the lowest common multiple of 1 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -60. Let t = -22 - o. Factor 2*k**2 - 2*k**t + k - 2 + k**2 - 2*k.\nAnswer: (k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-16)*42\/15. Suppose -4*n - y*d = -6*d, 17 = 3*n + 5*d. Let l(k) = -6*k - 1. Determine l(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g = -70. Is g a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -440 - -22443412?\nAnswer: 22442422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 21 + 19)*(-9*h - 4*h + 7*h - h + 0 + 0 + (-1 - h + 1)*(0 + 3 - 2) - 2*h - 2*h + 5*h) to r*h + w and give r.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53790*s**3 - 368*s**2 + 246701525*s - 2 wrt s.\nAnswer: -322740*s - 736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 4830030056 and 0.10747.\nAnswer: 4830030056.10747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3096*w**3 - 3 + 1 + 2 + 40*w**2.\nAnswer: 3096*w**3 + 40*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**4 + a**3 - a**2 + a. Let u(v) = 2*v**3 - 2*v. Let d(r) = 2*q(r) + u(r). Determine b, given that d(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 1\/20*x**5 + 0 + 5*x**2 + 0*x**6 + 0*x**3 + 1\/210*x**7 + 0*x**4 + 0*x. What is the third derivative of k(o) wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**3\/3 - c + 3479. Let p(s) = -3*s**2 + s - 4. What is 14*d(w) - 4*p(w)?\nAnswer: -2*w**2 - 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16263?\nAnswer: 3, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 9919.\nAnswer: -120\/9919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*y**2 - 24*y**2 - 26*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-192928)\/(-48))\/(2\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40068722 to 3 decimal places.\nAnswer: -0.401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/18*318\/106. What is the nearest to 0.34 in b, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-4)\/3)\/(80\/(-1380))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**3 - 9*s**2 + 11*s. Let z(b) = 3*b**3 - 4*b**2 + 5*b. Let x(n) = n**2 + 4*n - 14. Let r be x(-5). What is r*z(c) + 4*u(c)?\nAnswer: c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 991541.8 grams in kilograms?\nAnswer: 991.5418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*s - 7778, 3016 = 2*y - s - 97. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 18*q**2 + 10*q + 12. Is j(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2696, -2697, -2698, -2699, -2700, -2701?\nAnswer: -2702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.919 - 0.081. Let g = 200 - o. Let w = g - 240.73. What is w rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 311726295 divided by 187223?\nAnswer: 1665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n - n - 2*n)*(5 + 0 - 4) - 1 + 1 + n + n - 4*n + 2*n - 45*n - 29*n + 16*n)*(-2 + 4 - 4).\nAnswer: 114*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/15 + 112*h**3\/15 - 982*h**2\/15 + 2912*h\/15 - 184 = 0.\nAnswer: 2, 3, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 4*t**3\/3 - 5*t**2\/2 + 11*t. Suppose 7*q = 9*q - 74. Let p = q + -45. What is x(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.01, -1\/6, -1 in decreasing order.\nAnswer: 0.01, -1\/6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - 97?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/(-6))\/(-5)*0. Suppose -4*x + 5*g = -42, i = 5*x - 3*x + 3*g - 32. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 19 - 3. Suppose 0 = h - 2*a - 4, -a = -5*a + f. Is 3 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -3. Let d(w) = w**2 + 6 + 4 + 4*w + 4*w. Let o be d(a). Solve -9 = 3*z - o*q, -z - 2*q + 4 + 5 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/270)\/((1\/(-1))\/(-8)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/352 (b) -0.425 (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + c = -6*f - 77, 4*c - 72 = -2*f. Suppose f*i + 136 = 39*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = m - 75. What is the units digit of ((-10)\/m)\/((-4)\/(-138))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3576331, -3576289, -3576247, -3576205, -3576163?\nAnswer: -3576121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 4, 55489543?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31422288 by -5.\nAnswer: -31422288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 9*n - 14. Suppose 5*a - 3*h = -39, -15 = 2*a - 5*h + 4*h. Let p be s(a). Suppose 0*d + p*d = -76. Round d to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + -13 + (-564)\/(-40). Suppose -3*f**2 + p*f + 3\/2 - 3*f**3 + 3\/2*f**5 + 3\/2*f**4 = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 11*j**2 - 4*j - 3. Let z(h) = -h**3 - 10*h**2 - 5*h - 2. Let q be 6*(-1)\/(-3) - 4. Let y(n) = q*x(n) + 3*z(n). Calculate y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 818523 - 495016. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/10)\/(4\/(-20)) + 331. Suppose 7*i = 3*i + 20, -a = -g + 2*i. Is g a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43082*-6.6\nAnswer: -284341.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2484457 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = p + 24. Let c = p - -78. Suppose z = 2*t - c, 3*z + 84 = t + 4*t. What is the highest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28239 + -17612. Suppose -r = -18*s + 7319. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 44 = -55. Let t be (-5)\/((-15)\/66) - (4 + -10). Let x = t - h. What is the smallest value in x, 0.1, 0, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.438967 decades?\nAnswer: 0.0438967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = t - 34*p + 31*p, 0 = -5*t + p - 6. Let g = -0.2 + 0.4. What is the nearest to g in t, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -5. Let g(a) be the second derivative of -2*a + 0*a**2 + 1\/3*a**4 - 2 + 1\/3*a**3. Let o(p) = -12*p**2 - 7*p + 1. Determine m*g(s) - 2*o(s).\nAnswer: -4*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-10)*(-15)\/6. Suppose -q*b = -4*m + 11, 3*m - 2*b - 12 = -3. Let a be -3*-3*1\/3. Solve -5 = h + 4*h - m*v, -a*h = v + 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -16, 106, -21, 4, 3, 0 in descending order.\nAnswer: 106, 9, 4, 3, 0, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z\/z**(23\/3))*z**(-2\/5)*(z**(8\/9)\/z)**(-21) assuming z is positive.\nAnswer: z**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20179 + -20184. Let d(o) = -26*o. Let v(k) = 441*k. Determine g*v(c) - 84*d(c).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m + 34. Calculate v(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) + 77\/22. Suppose 0 = -c*x - k + 224, -x + k = x - 151. Let u(y) = 2*y + 1. Let m be u(7). Calculate the greatest common factor of x and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 809 (c) -153 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -69.90848?\nAnswer: 209.72544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1438 - -75. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**3\/2 - 5*s**2\/2 - 67*s - 3. Let o(k) = -k + 2. What is 7*o(p) + 3*z(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 338481730 to the power of 1\/3, to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 5 = -2*r, -20391*r + 20390*r - 3 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 43*a - 292. Let m be o(-33). Solve 36*x - 8 = m*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23\/36 - 26\/9. Let q(k) = 3*k**2 + 22*k + 13. Let v be q(-7). Find the common denominator of i and v\/(-9)*-2*(-2)\/(-96).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 55. What is the units digit of i(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/4 + 6133*a\/2 + 12265\/4.\nAnswer: (a + 1)*(a + 12265)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 80213.91s?\nAnswer: 80213910000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {g: 6, z: 1, r: 2, w: 3, e: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -555099*a**5 - 2*a + 2667908.\nAnswer: -11101980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14680 + 19560 = 2394*r - 82608 - 17216 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2114 = 2*y, 9 - 5 = m. What are the prime factors of y?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1471 + -1416. Is o bigger than 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in -4, -0.5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2717 - 1546. Let i = l - 692. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6 = -f - 1, 2*f - 28 = 3*n. Calculate the remainder when 43 is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -129. Calculate the remainder when b is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 181638188*g\/7 + 4124053917490418\/7.\nAnswer: 2*(g - 45409547)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 1. Let a(r) = 3*r**2 - 1. Let d(w) = 5*w + 69. Let j be d(-13). What is j*c(f) - 5*a(f)?\nAnswer: -3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*s = -7*s + 24717. What is the remainder when s is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.500332458 and 2.\nAnswer: -0.500332458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -547170 to the nearest one thousand.\nAnswer: -547000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6179\/25 < 248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 6. Let u = 7 - f. Suppose u = -2*o + 6, 6*m - o - 52 = m. 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 the hundreds digit of 8366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/3 (b) -16 (c) -7 (d) 0.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**4 - g**2 - g - 3. Let k(d) = -12*d**4 - 114*d**3 - 254*d**2 + 355*d - 15. Let p(h) = 5*f(h) - k(h). Let p(a) = 0. What is a?\nAnswer: -3, 0, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/11674128 and 11\/151.\nAnswer: 1762793328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1451\/9 - -161. Let x = 24.2 + -24.7. Which is the fourth biggest value? (a) x (b) r (c) 1 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 4:31 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -12. Suppose -w*f + 18 + 7 = 0. Solve 0*l - l = -4*c - 8, c = l - f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.36 to one dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -12 + -11 - (2 + 0 + -13 + 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 108 = 11*o. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -134403062*o. Let v(r) = -2*r**2. Calculate f(v(i)).\nAnswer: 268806124*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrnxxxhlnhhxnhnlxn. Give prob of sequence lxn.\nAnswer: 25\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -16 (b) 0.9 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.003 - -5.997. Let l = 6 - 7. What is the second smallest value in -3, i, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/6*(-24)\/(-18)*(-630)\/(-1120)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4*b - 6. Let w(u) = -9*u + 13. Let j(p) = -5*l(p) - 3*w(p). List the prime factors of j(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15 - (-222)\/(-180)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -629718?\nAnswer: 1\/629718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 1:04 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d1d5 (base 14) to base 8.\nAnswer: -221347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*y + 410*y + 142*y = 10735 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 291*v + 2484. Determine h(-4).\nAnswer: 1320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(9)\/sqrt(3))**2*3.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -322625208 times 3\nAnswer: -967875624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54027 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-14) - 52\/(-70)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + 3*x**2 + 5. Suppose w = -5*s - 25, 4*w + 17 = s + 1. Calculate y(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 243169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4712*t - 1. Let j(z) = 18*z**2. Calculate j(n(g)).\nAnswer: 399652992*g**2 - 169632*g + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose 4*j**3 + 3*j**2 + 2*j - 6*j**3 - 3*j**u = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348692824.\nAnswer: 2, 151, 288653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 24079336?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -400.3412 and 309.\nAnswer: -91.3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(5) + -3*sqrt(5) + sqrt(5) - sqrt(5)) + 0.\nAnswer: -2*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 534435 + 0?\nAnswer: 534435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3100043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 558 and 342?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 - k - 204. Let o be r(0). Let d = 4 - 58. Is (-4)\/(-18) + o\/d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381088 smaller than 1381100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7040098 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 2 + 8 - 7)*(0 + 1 + 0).\nAnswer: q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6384451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 569*g**2 + 6*g + 822*g**2 + 4*g.\nAnswer: 1391*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/12 + (-8 - (-4506)\/552). Is y < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + 534\/12. Suppose 3*i = 3*c - a, -1 = -3*i - 16. Solve 4*t + c = -10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 7:53 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45.9 - 43. Let q = -3 + v. Let o be 2\/(-8)*8\/6. Which is the nearest to o? (a) q (b) -1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 - m**2 + 2*m**2)*(39 - 65 - 5)*(-3*m - m - 4*m) in the form j*m + d + i*m**2 + k*m**3 and give k.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/144396 and 125\/419436?\nAnswer: 8808156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -29)*17\/(-34)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljd when three letters picked without replacement from djeldqoeldooeq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k + 1 + 0*k + 2*k)*(-2 - 1 + 7) - 1 + 1 - 2*k to the form g*k + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2778)\/8797)\/((-3)\/38). Solve 1 = -2*x + 3*w, 47 = u*x + w + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 557748*u. Let q(y) = -y. Calculate z(q(f)).\nAnswer: -557748*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a factor of 283500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*g + 21 - 205, -2*v = -5*g + 243. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.6555574 rounded to two decimal places?\nAnswer: -18.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64393019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*z**2 - 623*z**2 - 311*z**2 - 1.\nAnswer: -595*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -2) + 11 + (-4 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263761 is divided by 100.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 209, -8.3?\nAnswer: 209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pqmm when four letters picked without replacement from qmqpmqqmmm.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**4 + 3*d**4 + 8*d**4)*(3 - 9*d + 14*d - 11*d)*(1 + 1 + 2).\nAnswer: -120*d**5 + 60*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 4 + -7 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**3 - 14*v**2 - 27*v + 6. Let i be y(-8). Suppose -862 + i = 4*h. Is 46 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*c - 8. Is (1414\/21)\/(c\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) 5 (c) 142\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -26. Suppose 0 = -4*j - 25 - 7. Let y(l) = -l**3 - 9*l**2 - 8*l + 6. Calculate the remainder when u is divided by y(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 + -51. Which is the closest to g? (a) -0.2 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-1 + (sqrt(60)\/(sqrt(36)\/sqrt(3)) - sqrt(5))**2.\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*o + 44, 4 = 3*x - x. Suppose -3*n + h + o = 2*h, -5*h = 4*n - 20. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/24)\/(84\/224)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4594 (base 11) to base 7.\nAnswer: 23405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-136) + (-5)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m**3\/6 - 1765*m**2\/6 - 709*m\/6 - 71\/6 = 0.\nAnswer: -1\/5, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 396232470 rounded to the nearest one hundred thousand?\nAnswer: 396200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 528 = -8*q. What is the greatest common divisor of q and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-4) + -3 - -5. Sort -39, -3, i.\nAnswer: -39, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -490683*v + 245339*v + 875*v**2 + 245344*v. Let q(m) = 11*m. Give o(q(b)).\nAnswer: 105875*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82126, -328400, -738820, -1313386, -2052098?\n\"Answer: -82073*m**2 - 55*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -15. What is the highest common divisor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 395178588 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46997 < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m. Let h(r) = 2*r + 3. Let f be h(0). Let g(x) = 3*x + 0*x - f*x + x. Calculate g(p(d)).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, l: 5, o: 1}. Give prob of picking 2 k, 1 l, and 1 o.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**5 + 20*c**4 + 60*c**3 = 0 for c.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 46*c = 44*c + 64643, -2*v + c + 129261 = 0. List the prime factors of v.\nAnswer: 64633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-6))\/(-12*(-10)\/180)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -283\/80 + 8107\/720. What is the common denominator of -81\/28 and g?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*y + 11, 4*q - 13 = 3*q + y. Suppose 0 = -q*u + 4*u + 2*u. Solve u = -0*d - 4*d + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6711*(5\/9 - (-4)\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 + 197\/3. Let p = -3.97 - 0.03. What is the nearest to x in 0.3, -3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2064.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 195552 and 10434872.\nAnswer: 375655392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8 - (-1 - -3)) + 0 - 20) + -1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26353660 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 682*o**2 + 7368*o**2 - 9 + 5651*o**2.\nAnswer: 12337*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/350 and ((-1)\/(-3) - (-54)\/(-4))*1344\/(-548800)?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2202210 (base 3) to base 14.\nAnswer: a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -315.74 and 4893.\nAnswer: 4577.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2. Let a = 75079\/3 + -25022. Let m(n) be the first derivative of a*n**3 - 8 + 0*n**2 + 0*n. Calculate m(z(q)).\nAnswer: 13*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151741 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41769, 1, -1369.\nAnswer: -41769, -1369, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Suppose -3 = u*h - 6. Let v(j) = 5*j + 1. What is the remainder when 28 is divided by v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -565?\nAnswer: -565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-60) + 546\/45. Let x be 12\/((0 + 1)\/1). Let r = f - x. Solve 4*c + 13 + 7 = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072942107 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 - 81*y - 21 + 23 + 19*y + 166*y as k + h*y and give h.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 + f**2 + f**4 - 38 + 74 - 37 + f to the form z*f + s + l*f**3 + x*f**4 + t*f**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 23*w**4\/8 - 11*w**3\/6 - 7*w**2. Let r be f(5). Suppose -318 = -3*o - 4*p + p, 5*p + r = 3*o. Does 18 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and 71.827?\nAnswer: 71.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/51850 and 129\/1031050.\nAnswer: 62894050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, y: 7, x: 7}. What is prob of sequence xx?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -1. Is u - -4 - 17\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 8. Let s(d) = 3*d**3 + 55*d - 59*d - 3 - d**3 - d**3 + 3*d**2. What is the units digit of s(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-1)*61\/549?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - 0.06. Let y = -0.22 + 0.02. Let i = 32 + -33. Which is the nearest to u? (a) i (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 3*w**5 + (-5*w**3 - 10*w + 10*w)*(3*w - 3*w**2 - 3*w) - 3*w**4 - 8*w**5 + 3*w**4.\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10961209*r**4 - 60144*r**2 + 31*r?\nAnswer: -263069016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 66.5 (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:58 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1682 + -1657. Solve -m*c + 23*c = -6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y, -3*l + 2*l - 2*y - 6 = 0. Solve -8 - 10 = 4*p + 2*s, -l*s = -4*p - 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*o + 580*o - 132928 = -1449*o for o.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -27*s + 28. Let o(g) = -83*g + 85. Let a(p) = 2*o(p) - 7*r(p). Differentiate a(k) with respect to k.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17531379799 from 52355.\nAnswer: -17531327444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.063155 years in decades?\nAnswer: 0.5063155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -152*p - 15070. Calculate s(-99).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/11*f**2 + 4*f - 22 = 0. Calculate f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 8 = 40. Let p = 0 - 0. Solve p = -3*s + 9, -s - 2*s + o = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1604.68659 to the nearest integer.\nAnswer: -1605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 50528, -4 in decreasing order.\nAnswer: 50528, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -2)*((-136948)\/9125 + 15)\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 788 greater than 781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u - 7. Is 4 a factor of i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -226759858*d**2. Let r(o) = -4*o**2. Give r(c(f)).\nAnswer: -205680132800720656*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:46 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 895675110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1575\/37 - -951855\/22348. Find the common denominator of -15\/2114 and j.\nAnswer: 4228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 2, m: 7}. What is prob of sequence eo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3931*z. Let m(o) = 2*o. Determine t(m(k)).\nAnswer: 7862*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*3525362.\nAnswer: -1762681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22760265 is divided by 9913.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841\/4 + 29\/2*y + 1\/4*y**2 = 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 - 27. Suppose -2*j - 3*d + f = 3*j, 5*j - d - 16 = 0. Let m(a) = 2*a + 3. Let y be m(j). Solve 3*c - y - 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(2 + (1 - 2)). Let v(o) = b*o + o - 3 + 3*o. Let k(p) = -p + 1. Let u be -5 + (-136)\/(-28) - (-396)\/28. Calculate u*k(m) + 4*v(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4429 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: Two letters picked without replacement from {n: 9}. Give prob of picking 2 n.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47 (base 11) to base 7.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139998933*f**4 + 3*f**2 + 115871*f + 12.\nAnswer: 3359974392*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(sqrt(121)*1 + sqrt(121)))\/(sqrt(77)\/(sqrt(7) - (sqrt(21)\/sqrt(3) - sqrt(7)))).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171.6 - -141. Let j = -3.6 - w. Let l = -25 + j. Which is the nearest to -1? (a) 2\/7 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**2 - 41*z + 19. Let d be k(-14). Solve 0 = 2*y + 8, 2*r - r + 19 = -d*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -588\/869 - 4\/79. Which is smaller: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108576149?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/15 - 862*n**4\/5 - 686*n**3 + 28346*n**2\/15 - 5156*n\/5 = 0.\nAnswer: -1289, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 3. Let x be g(-7). Let v(h) = 5*h**2 + 4*h + 2. Suppose 5 = 3*y - 4*y. Let o(w) = -6*w**2 - 5*w - 2. Determine x*o(l) + y*v(l).\nAnswer: -l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2314524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -106 - -110. Suppose 0 = 5*n - r - 111, n + 0*r + l*r - 39 = 0. Differentiate n + 21 - 2 - 22*d wrt d.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.19 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1296 or 1304?\nAnswer: 1296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 9*r**2 - 3*r = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6253930 and -0.4.\nAnswer: -2501572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -256 + 1601. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289549869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**3 + 1 - 2*x**2 - 3*x**3 + 27*x - 30*x in the form f*x**3 + k + o*x**2 + r*x and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-60)*3*12\/45?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(20\/7)*x\/(x\/x**(-5)))\/((x*x**(-13)*x)\/((x*x*x**15*x)\/x)) assuming x is positive.\nAnswer: x**(181\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 + 1 + 5 - 19*p**2 + 7*p**2 + p**3 + 4 - 6*p. Calculate q(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 10:44 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*n + 19, -1030*n - 13 = -1032*n - 3*y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-7) + (-988)\/(-133). Let n(k) = -k**2 + 9*k + 6. Let z be n(t). Suppose -4*u - 17 = -3*o + 5, 4*o = -4*u + z. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1446003 and 578?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 1. Let y be a(-4). Suppose h + 4*j + 5 = 4*h, y = 5*h - 3*j. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.135 + 0.195. Let q = 0.06 + -5.06. Which is the closest to 2\/7? (a) -0.2 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22106, 44087, 66068, 88049?\n\"Answer: 21981*r + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22325364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 46*i. Let o(b) = 136*b. Calculate 6*o(m) - 17*q(m).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -55*h + 120. Let a(r) = -5*r + 11. Let f(u) = -65*a(u) + 6*y(u). Let l(o) = o**2 + 2*o - 10. Let i be l(0). Is 29 a factor of f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 94048*l**2 - l + 19. Let b(a) = 3*a. What is b(x(i))?\nAnswer: 282144*i**2 - 3*i + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 8*j**2 - 6*j + 9. Suppose 5*w + g - 3*g = 22, -2*w = -3*g. Let a be r(w). Suppose -2*v - v = -a. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 2*x - 1. Let o be w(2). Let m be (890\/o)\/(4\/120). Suppose 3*i = 5*i - m. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzstszuzzzzu. Give prob of sequence ztzs.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11778 divided by -3?\nAnswer: -3926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275041 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46869628 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 403.3 and -0.5?\nAnswer: 403.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1200)\/9)\/((-10452)\/(-7839)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2843 + -1242389\/437. Find the common denominator of -39\/46 and l.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 448, 562, 676, 790, 904, 1018?\n\"Answer: 114*p + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (240\/(-8 - 4))\/(-1 + 0). Solve -5*k - 25 = -0*f - 3*f, 0 = -4*k - 5*f - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -0.2 (b) -0.6 (c) 0.5 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35642279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3802, -15333, -34550, -61453, -96042, -138317, -188278?\nAnswer: -245925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -7. Suppose 0 = 2*p - x*p. Suppose 0 = -p*f - f - 5. Which is the third biggest value? (a) f (b) -0.1 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 22. What is the nearest to 1 in v, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((66\/32)\/(-11))\/(64\/(-17408))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciifiicfiicccciii. What is prob of picking 1 i and 1 f?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1218 - -1848.8. What is p rounded to the nearest 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4828 is divided by 547.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -742 + 692. Which is the smallest value? (a) f (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 136. Suppose -5*k - 10 = -3*i, 0*i - 5*k = 2*i + l. Solve i = -7*f + 11*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*0.05.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 1:58 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-8))\/7*(-775)\/930?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 4\/1)*6. List the prime factors of (90\/75)\/(s\/(-10)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120783 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -101 - -44?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 7 + -22 + 18 + 8 + -96?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -3*r**5\/5 + 39*r**4 - 132*r**3 - 21216*r**2 - 221952*r + 348. Determine g, given that c(g) = 0.\nAnswer: -8, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:22 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 at most as big as -61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:38 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -a5 (base 11) in base 12?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18267 to three decimal places.\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 6*x**2 - 22*x + 39. What is q(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x*x*x\/(x\/x**(-5\/4)))\/x*x**(1\/3)*x assuming x is positive.\nAnswer: x**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08 and 22834?\nAnswer: -1826.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -644 + 648. Solve -10*h = -6*h + 2*m + t, 2*h = 5*m + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 less than -303.5595?\nAnswer: -236.5595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 14)*(0 + 1). Let y(u) = -u**2 - u - 8. Let a be y(0). Let k = a - m. What is the highest common divisor of 24 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*m = -982*m - 966 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 3*k**2 - 3*k. Let t be w(-2). Let z(y) = 13 + 6*y + 36 - y - 5. Let f be z(-8). Solve f*o + 2*v - 4 = 2, t*o - 1 = v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 4*t + t**3 + 5 - 7*t - 2*t**3. Let n(h) = h - 10. Let c be n(5). Let x be s(c). What is the greatest common divisor of 38 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -799489.492 less than -0.5?\nAnswer: 799488.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 3. Let n(y) = 84*y - 378. Let d(s) = -n(s) + 126*r(s). Let u(z) = 21*z. Give d(u(l)).\nAnswer: 882*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -176. Suppose -5*a - 4*w + r = 0, a + 3*w = -a + 47. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 1 - 13 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 30927.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 less than -24.9?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*x**2 - 52*x**2 - 82*x**2 + (3 - 3 - 2*x)*(3 - 2*x - 3) + 0*x**2 - 4*x**2 + 5*x**2.\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from ovvvoio.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/19904 + -7465\/19904. Let u = 1 - 0. Which is the biggest value? (a) u (b) n (c) 2\/3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let a be (-1 + -2 - -4) + 2. Let d(n) = -n - 3. Let k(w) = 1. Let m(b) = a*k(b) + d(b). Calculate l(m(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37934 and 7462.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/404 and -39\/4141.\nAnswer: 16564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3649 is divided by 388.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 23*r**2 + 9*r + 888. Let c be p(-24). Solve 3*f = -2*m - 11, 88 = -4*m + c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 521854, 1043707, 1565560, 2087413?\n\"Answer: 521853*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 175239?\nAnswer: 3329541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (226 - 71) + -171 + -27.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 - -2 - -8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*h**3 + 114*h - 414*h**3 + 219*h**3 + 223*h + 304*h + 178*h.\nAnswer: -2*h**3 + 819*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 2056 (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72325025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5935 by -1187.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1491 (b) -3\/2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + i + 2. Let b(k) = -2*k**2 + k + 3. Let l(p) = 6*b(p) - 11*s(p). Let w be l(-3). Solve -3*d = -w*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, 0, -5, 78, 1.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -20219703*z + 164112. Let y(j) = -3943*j + 32. Calculate 2*a(t) - 10257*y(t).\nAnswer: 3945*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(102)\/sqrt(6)*4 - 3*(sqrt(17) + 0 + 4))**2.\nAnswer: -30*sqrt(17) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 + 39*i**2 + 19*i + 39. Let j be w(20). Solve -28*b + j = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {y: 3, r: 1, j: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x**2 + 48*x + 103. Give f(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 5140 (b) 5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27558.\nAnswer: 2, 3, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 83. Suppose o - 60 = -2*l - 6, -4*l + p = o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114020\/148226 - 835\/(-13)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 25*z**2 - 1002*z - 10639. Determine o(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 4*t)*(-2*t + 2 - 2) + (7*t**2 - 17 + 17)*(-2 - 1 + 5)*(-35 - 3 - 6).\nAnswer: -620*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871422349*w - 12*w**3 + 871422349*w.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 17}. What is prob of sequence ppj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**3 + 6*y**2 - 38*y - 10. Let j be m(-6). Sort -4, -1, -292, j in ascending order.\nAnswer: -292, -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/5 of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692 is divided by 68.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13*b. Let c(d) = 6199248*d. Determine f(c(i)).\nAnswer: -80590224*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**4)**25)**(-42))**10)**(-11\/6) assuming i is positive.\nAnswer: i**77000","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11 = -15. Which is greater: l or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**4\/n*n**(-1\/2)*n\/n**7*n*n**(-6)*n)**(-10\/9) assuming n is positive.\nAnswer: n**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaeasaaa. What is prob of sequence eas?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/2)\/((-4 + 5)*7). Let f = 3.04 + -0.04. Let k = f + -5. Which is the third smallest value? (a) g (b) -2\/15 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -26. Let o(j) = -4*j. Let l be o(-1). Determine b so that l*b + 3*b**3 + b - i*b**2 - b**4 + b**2 - 4*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*k + 10 = -73*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - ((-897)\/27 - 2\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580875587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 207 (b) -3 (c) 403 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -175275 (base 13) in base 14?\nAnswer: -112491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 4. Let q be d(6). Solve -q*x + 5*x = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-6)*-6*1. Suppose 0 = -b - 4*b - h*r + 68, -3*r = -b + 6. What is the remainder when 21 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542828 and 5548?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1571, 1473, 1227, 773, 51, -999?\nAnswer: -2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 9*c + 29. Let b = -32 - c. Let l be (-3)\/(1 - (-14)\/(-8)). Put 3, b, l in descending order.\nAnswer: l, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 5, 9 in ascending order.\nAnswer: -26, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from ffffffffffffffffffw?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 46280000 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44804 is divided by 3980?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -111.26 smaller than -114.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*x + 18. Solve -8 = -x*w + 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/7, -1, -5\/52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*j + 11, 4*w = 2*j - 6*j + 4. Suppose w*b - 2 = 4*y, 3*b - y = -3*y + 11. Solve 0 = b*k - 18 + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/1189353 and 23\/3.\nAnswer: 1189353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f944bf + 2?\nAnswer: -f944bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-12)\/56)\/((-60)\/(-14)).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(12) - sqrt(6)\/(sqrt(242) + (sqrt(242) - (sqrt(242) + 2*sqrt(242)))))**2.\nAnswer: -84*sqrt(3)\/11 + 1807\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 2655637?\nAnswer: 2655643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*g + 49, -15*t + 10*t = -4*g + 1. What is the units digit of 1\/((-9)\/g) + (-21480)\/(-45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2540000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1478 >= -264580\/179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 771739*b**3 - 14*b + 59019?\nAnswer: 4630434*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104305275.\nAnswer: 3, 5, 463579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11474 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -5, -3 in decreasing order.\nAnswer: 37, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.211 + 0.401. What is i rounded to one decimal place?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 - -1 - (-4 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vbv when three letters picked without replacement from {v: 8, q: 1, b: 4}?\nAnswer: 56\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millimeter in micrometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 714404.\nAnswer: 4286424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 35 - 9. Let c = 21 - g. Suppose -144 = 4*q - c*q. Is 18 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 40, 115, 260, 499?\nAnswer: 856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/7 and -5\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - y - 2. Suppose -d + y = -2. What is the biggest value in d, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 27*d + 154. Calculate q(-31).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*z + 53. Let d(x) = 0*x**3 + 4*x - 3*x**2 + 8 - x**3 - 5. Let k be d(-4). Solve -k*g - g = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 413645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 201.4531 nanometers in kilometers?\nAnswer: 0.0000000002014531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 10:44 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 76908 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y + 15. Suppose 2*q - q = 4*c - 4, 3*c - 6 = 0. Let x(r) = 193*r + 1 - q - 191*r. Let p(d) = -2*t(d) - 11*x(d). What is p(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 24\/27 - 1155\/378 and 107\/2922?\nAnswer: 2922","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 181158.201 microseconds?\nAnswer: 0.0000002995340625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -838000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8*2\/4)\/1. Let j be (-126 - -171)*1\/(-15)*-3. Sort 2, j, l in decreasing order.\nAnswer: j, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - -6)*(1 - -1). Let n(j) = -6*j**2 - 4 + j**3 + j**2 - j**f. What is n(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156673*b*q**2 - 136*b*q + 56*q wrt q?\nAnswer: 313346*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/15)\/(32\/1280*-48)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*j + (j + 5*j - 5*j)*(2 - 2 + 1))*(387 + 57 + 109) to the form t*j + h and give t.\nAnswer: 1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Let w(g) = -16*g - 67. Let c be w(-14). Let a = -134 + c. Solve 7 = -s - 2*k, -y*k - a = 7*s - 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -19)*(-148)\/592\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 95, 98, 101, 104, 107?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 5:53 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 113*n**2 - 434*n - 212. Let z be d(109). Let o(v) = 6*v - 34. Determine o(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 91.159 (b) 1\/16 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112753553 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = f + 1, -17*c + 16*c + 8 = 2*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -3100?\nAnswer: 3100.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-seven fifths of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 1278 = -10*f. Let g = f + -209. What is the nearest to -5\/2 in 1, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163644964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -333, -729, -1123, -1515, -1905, -2293?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/(-2)*2)\/1. Let j = -2 + -5. Let p = j - m. What is the least common multiple of p and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9302, 9305, 9310, 9317, 9326, 9337?\nAnswer: 9350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65\/(-1365) - (-141624)\/1323.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4\/3, 2, 3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-63)*(-28)\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(5)*-3) - sqrt(14))\/sqrt(7).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 1, 0, 18, -5 in ascending order.\nAnswer: -5, 0, 1, 18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2 = -a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2350)\/705)\/(-1 + 2\/6). Let j(r) = r**2 - 5*r + 5. Determine j(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 a factor of 2078626454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/(-58) + (1 - 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 124b59 (base 14) to base 13\nAnswer: 18ca26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1327*b - 95*b + 421*b)*(2 - 3 + 2) + 5 - 5 + b + 0 + b + 0 + 2*b - 2*b - b + (-b + b + 2*b)*(0 - 3 + 4) + 2*b + 1 - 1 - b + 1 - 1.\nAnswer: -997*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*a + 24. Let z = 40 + a. Solve -4*w = -0*w - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) + sqrt(170) + -4*-4*sqrt(170) + sqrt(170))*2)\/((5*sqrt(50))\/sqrt(5)*-5))**2.\nAnswer: 24548\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m - 15*m - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*j**2 + 0 + (-27*j**2 - 150*j + 150*j)*(4 - 1 + 1)*(2 - 5 + 5).\nAnswer: -218*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*d = 1078, -s + 1603 = 2*s + d. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*t**2 - 13*t*x - 128*x wrt t.\nAnswer: 58*t - 13*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2916*w**2 - 16443*w**4 - 11099*w**2 + 16710*w**4 wrt w?\nAnswer: 6408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4335 = -190*l - 2315 for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.19 + 1.2. Let s = p + -0.11. What is the smallest value in -0.4, 1\/2, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116207.\nAnswer: 7, 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 2)*(-1 + 5 - 2) - 1 + 4 - 2)*(-266*b**3 + 320*b**3 + 116*b**3).\nAnswer: -170*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4599 + -6?\nAnswer: 4593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375 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 y be 9\/2*8\/12. Suppose y*x - 2 = 10. Solve w = 3*w - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32576 and 1463.\nAnswer: -47658688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b9 (base 12) to base 10.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4600 - 2\/(-6)*(7 + 28\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3479 + 3481. Solve -18 = -3*a - 3*u, -2*u = -j*a - 7 + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2150639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 6\/(-2)*(-6)\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-16) + 1\/(-8). Let a(l) be the second derivative of 0*l**2 - 1\/6*l**4 - 2*l + 0*l**3 + r. Let v(k) = k. What is a(v(c))?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5798621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 26*i + 20. Let x(o) = 2 - 2 - 7 - 9*o. Let a(n) = -6*l(n) - 17*x(n). Find the first derivative of a(z) wrt z.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3581848 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-200)\/35) + (-2)\/(-7). Solve 7 - x = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5644 and 111884?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -354 or -16301\/46?\nAnswer: -16301\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 15*t**5 - t**4\/6 + 52*t**3\/3 - 122*t. Find the third derivative of k(v) wrt v.\nAnswer: 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - p**2 - p - 1. Let z be s(-2). Let c = -322 + 322.4. What is the closest to z in c, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 12. Let z be y(-7). Solve 7*i - z*i = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -239350 or -4068954\/17?\nAnswer: -239350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 223441.9 from -0.0431.\nAnswer: -223441.9431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 9*w**4\/4 + 5*w**3\/3 - 5*w**2 - 5*w - 13. Let r be q(5). Suppose 0 = 3*m - 9628 + r. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -20, 1, 0.1, -1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -22. Let o be (-5)\/75 + k\/10. Let m = 160377\/34 - 4717. Which is smaller: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 22*q**3 - 28*q**2 - 48*q.\nAnswer: 2*q*(q - 2)*(q + 1)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2055 - 2054.94. Which is the nearest to 1? (a) 0.4 (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 96*v - 34*v - 3 - 53*v + 6.\nAnswer: 9*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 300976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - h**2 + h + 1. Let l be q(-2). Suppose -4*p = -5*p + 2. Is p >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 19\/5 (b) -5\/4 (c) 0.4 (d) 2\/3 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 6 + -4 + (-40 - -16) + 103 + -4.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1615 and 38760?\nAnswer: 38760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 14, -10, -54, -124, -226, -366?\n\"Answer: -a**3 - a**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 52. Solve 0 = x*u + 3*s + 9 + 4, 4*u - 3*s = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 1. Let c = -35 + 36. Let n(b) = -9*b + 4. Let r(o) = c*n(o) + 2*v(o). Determine r(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55521 is divided by 41?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2436700 divided by 1\nAnswer: 2436700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183585005 to the nearest integer?\nAnswer: 13549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13337 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(528) + (sqrt(528)*2 - sqrt(528)))*2)\/sqrt(11)*1)**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -57*g - 49. Let i(h) = 229*h + 196. Let t(v) = 6*i(v) + 26*p(v). Is 34 a factor of t(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447080071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 26 + 18. Suppose 4*n - 4*v = 4, -z = -0*n - 3*n + 5*v. Which is the nearest to 2\/7? (a) 4 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -1338*g + 1588. List the prime factors of p(-40).\nAnswer: 2, 23, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + r = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2 - 5*i + 5. Suppose 24*x + 4 = 25*x. Suppose 2*z - 3 = l, -3*l + 0*z + x*z = 3. Does 8 divide h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 20690 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*u**4*x - 31*u**3*x - 676*u**2*x - 955*u*x + u - 26*x - 2 wrt u.\nAnswer: 192*u**2*x - 186*u*x - 1352*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 10*z - 28. Calculate a(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -27, -1, 4\/5, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 2. Let s be p(-7). Let w = -5 - s. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 22 + 2 = 0. Let v(t) = 2*t**2 - 3*t - 4. Let i be v(c). Suppose i*n - 132 = n. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-6) + 7\/((-252)\/2964). Let m be (-6 - (g\/9 - -5))*3. Put -3, -27, m, -4 in decreasing order.\nAnswer: -3, -4, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 2\/3 in decreasing order.\nAnswer: 5, 2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5899731 + 6.59. What is x rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5 - 4, -x + n = -131. List the prime factors of (x\/44)\/((-6)\/(-998)).\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**3 + 0*p - 7\/4*p**2 + 0.\nAnswer: -p**2*(p + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1580 and 209745.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 360978, 360979, 360980, 360981, 360982?\nAnswer: 360983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7390.9 times 17.35?\nAnswer: 128232.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pme when three letters picked without replacement from {p: 1, m: 4, e: 2, h: 4, c: 3}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19941 + -16374. Is 3568 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = -20*a - 62. Calculate the remainder when 83 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.2 minus 50.080794?\nAnswer: -168.280794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233751 is divided by 150?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a + 0 + 12*a - 1 - 6*a**3. Suppose 5*x - 156 = -151. Calculate c(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65218104?\nAnswer: 2, 3, 7, 129401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787321 is divided by 9507.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9878859645 rounded to four decimal places?\nAnswer: 0.9879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -16. Put 1, m, 3 in descending order.\nAnswer: 3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10962943 divided by 33941\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1630242 is divided by 1391?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44785613.\nAnswer: 44785613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**5\/9 + 36362*d**4\/9 + 2196244*d**3\/3 + 389380324*d**2\/9 + 7106775110*d\/9 - 8335196282\/3 = 0. What is d?\nAnswer: -61, 3, 18361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -162 - -161.09. Let l = v + -0.09. Let y be -4*2\/(-8)*-3. What is the nearest to l in -0.1, 5, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 22 = -4*m - 8 + 11, 7*w - 11*m + 2*m = 27 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = -10*t - 16. List the prime factors of 634\/(-1*(-4 + (1 - t))).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*u = -4, -2*i + 2 = -5*u - 5. Let w = -1 + 1. Suppose w*k - j = -4*k - i, 17 = 2*k + 3*j. Sort -1, -4, k.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 109 = -11*y + 184, -5*y = 5*f - 76 - 39 for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 2 - -5)\/1. Suppose -2*f + 105 = -3*l, 0*f + 199 = 4*f + 5*l. Calculate the remainder when 47 is divided by 1 - (2 - f\/r).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 267*i**2 + 10104*i + 19116.\nAnswer: -3*(i - 118)*(i + 2)*(i + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83.4 - -86. Let y = u - 2.71. Let w = 4.11 + y. Which is the fourth smallest value? (a) w (b) -3 (c) 7 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = -408 + 390 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6164*o + 3586. Let f(l) = -9231*l + 5379. Let u(i) = 5*f(i) - 8*v(i). What is the first derivative of u(g) wrt g?\nAnswer: 3157","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13895976 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -10*w**2. Let x(l) = 6*l**2. Give x(a(k)).\nAnswer: 600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57017351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27906 - -2)\/(11 + -12) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125722715 to the nearest one million.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 828120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87514 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 163. Let c(h) = h**3 - 3*h**2 - 505*h + 5. Let s be c(-21). Give f(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313023023021 - 11?\nAnswer: 2313023023010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*a + 3427, 0*a = 3*a - m - 5140. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/2, 7598, 0.4, 2\/9 in descending order.\nAnswer: 7598, 0.4, 2\/9, 0, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2, c: 2, r: 1, v: 1, y: 2}. Give prob of picking 2 c.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k - 3. Let h(j) = -j - 16. Let y be h(-9). Let z be u(y). Suppose -5 = -4*n - 13, p + n - z = 0. Solve 4*t + 8 = l, 0*t + p = -2*t for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2385632278991 - -20?\nAnswer: -2385632278971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + n + 6, 16*a + 5*n = 11*a - 25 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-1\/3))\/a*a)**(-36)\/(a\/a**(-3)*a*a\/a**5) assuming a is positive.\nAnswer: a**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4579.73201+100\nAnswer: -4479.73201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (120750\/(-60))\/(-115)*(-5)\/(-35)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1081 or 1080?\nAnswer: 1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*h - 19*h + 11*h**3)*(h - 1 + 1)*(18*h + 105*h + 133*h - 47*h).\nAnswer: 2299*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by (-1)\/(-4) - 2886\/(-104).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(((z**(-1)\/z)\/z*z*z)\/z))\/z)**(5\/19) assuming z is positive.\nAnswer: z**(10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b29228 + 5?\nAnswer: b29230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 11 - 26 = 0. Let x = 54\/11 - i. Sort 5\/3, x, -1.\nAnswer: -1, x, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 16*z - 972. What is m(59)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**12\/l)\/l**(-21))\/(l\/(l**(4\/13)*l*l)*(l\/((l\/(l*l**(-2\/7)))\/l))\/l) assuming l is positive.\nAnswer: l**(2966\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n + 74. Let m be f(-7). What is the hundreds digit of m - (-672)\/6 - 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -776*r - 5442. What is a(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 9:17 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.008332*37\nAnswer: 0.308284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 0, 0*j + 120 = 5*j + 3*k. What is the greatest common divisor of j and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27141, -54420, -81699, -108978, -136257?\nAnswer: -163536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36908 = -s + 83205. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 6*-1*sqrt(175) + sqrt(175) + -4)**2.\nAnswer: 160*sqrt(7) + 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1)\/2)\/((-6)\/108) and 147.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by 340\nAnswer: -5\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 561 - 559. Let q(y) = -6*y + 8 - 81*y**2 + 44*y**i - y**3 + 44*y**2. What is q(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 + 4?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25322162?\nAnswer: 2, 29, 331, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1431\/106*(12 - 21\/3 - (-5)\/(-5))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -62, -82, -104?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-132)*-26)\/((-1)\/(-42))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 7. Let z(h) = -243*h + 29. Determine 4*p(c) - z(c).\nAnswer: 239*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -29*q**2 - 175*q - 10. What is y(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26\/66 + (-212)\/3498\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 5. Let w(r) = 2*r + 4. Let h(i) = -4*c(i) - 5*w(i). Let d(t) = 20*t**2. What is d(h(b))?\nAnswer: 80*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(649\/(-55) - -12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-17 - -24 - 31)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1048, 1105, 1162?\nAnswer: 1219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 4*o**2 + o + 0*o)*(205 + 10*o**2 - 205).\nAnswer: 30*o**4 + 10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 11*a + 27. Suppose 2*t - 3*t + 22 = 0. Calculate the remainder when t is divided by b(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 h, and 1 u when four letters picked without replacement from {h: 1, e: 1, u: 1, p: 1, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*j + 13. Suppose o = 3*o - j. What is the nearest to 0.2 in -4, -2\/7, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 2. Let x = 2 + u. Which is the closest to x? (a) 2\/21 (b) 0 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -7\/10*j**5 + 0*j**3 + 9\/2*j**2 + 4*j + 0 + 0*j**4. Differentiate n(h) with respect to h.\nAnswer: -42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 39 + 45 = 0. Find r such that -20*r - 164*r - 4*r**n + 32 + 48*r**2 = 0.\nAnswer: 2\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a**3 - 18*a**3 - 61*a**3 + 112*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/986 and 27\/34.\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84.45 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - -0.03. Let q = -28.7 - -27. Let j = -2.2 - q. Which is the closest to 1? (a) 2\/11 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l - 4 - 2*l + l**3 + 19*l + 3*l - 19*l - 2*l**2. Let n(p) = p - 3. Let q(c) = -1. Let u(b) = n(b) - 2*q(b). Let y be u(4). Calculate j(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/(-7) - (-2)\/(-7). Suppose 0 = -4*k + 4*o + 28, 3*k - k + 5*o - 14 = 0. Let r = -5 + k. Sort -1, r, n.\nAnswer: -1, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/2 + 2)\/((-19)\/38)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 13253\/4, -31 in decreasing order.\nAnswer: 13253\/4, -31, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35120815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**4 + 14*h**3 - 12*h**2 - 14*h + 13 = 0. Calculate h.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*p = 2*p + 14, -3*x - 5*p - 11 = 0. Suppose 24 = x*v - 3. Which is greater: 48\/5 or v?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 less than 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -3, 7\/10, -2, -2\/21, -0.37 in ascending order.\nAnswer: -3, -2, -0.37, -2\/21, 7\/10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/3 - 359542*w**2\/3 + 2157190*w\/3 - 1797650\/3 = 0. Calculate w.\nAnswer: 1, 5, 179765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41091 + 6?\nAnswer: -4108b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*t + 2*t + 30 = 0, -3*t + 31 = 4*v. What is the third derivative of -131*d**4 + 30*d**2 + 144*d**v - d - 70*d**4 wrt d?\nAnswer: -1368*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhbhbybbkxwwbw. What is prob of picking 1 y and 1 b?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/4 + b**3\/3 - 15*b**2 - 8*b + 1. Differentiate o(m) wrt m.\nAnswer: -6*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -1 (b) 67 (c) -2.29 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22540928 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) - -2*sqrt(5200))\/(sqrt(576)*-2)*-6.\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-30)*(-4 + 7). Let s be (-2)\/2*2\/(-2). Let t be s*2 + 32\/(-18). Which is the second smallest value? (a) v (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3126 + -2921. Calculate the remainder when x is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.748 - 0.552. Let q = -30.2857 - m. Round q to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567 - 1212 + 645 - 270*w**3.\nAnswer: -270*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.0755 + 0.0755. Let y = -648.9 + 616. Let b = 33 + y. Is m >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 21 = 2*h + 2*h, -28 = -7*h for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 241*u + 188*u + 1482*u to g*u + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 18 = -2*h, 5*x + 7 = 3*h + 30. Sort h, -22, -4.\nAnswer: -22, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 - 4*v**2 - 5*v. Let t be w(-2). Suppose -9 = -3*f, 2*z - 5*f + 16 = z. Let c = t - z. Calculate the smallest common multiple of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25236 - 25236.00006829. What is o rounded to six decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26202 (base 13) in base 12?\nAnswer: 34a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 822248 a multiple of 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*(-14)\/12 + (-36)\/(-54). Suppose 7*x = k*x + 777. Let z = 10 - x. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 7*y**2 - 4*y - 1. Let o(v) = 11*v**2 - 6*v - 2. Let n(w) = 5*o(w) - 7*q(w). Let i be n(-1). Solve 0*u = -u - 2*j, i*j + 1 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110010011011000 (base 2) to base 7\nAnswer: 135160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y - 24*y - 28 + 17*y + (-38*y - 19*y - 33*y)*(-1 + 1 - 1)*(-3 + 4 - 3).\nAnswer: -179*y - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 0*r + 3*r - 310 = 0, 2*y + 98 = -4*r. Suppose 4*i = -4 - 92. Let z = i - y. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 293, 639, 1117, 1721, 2445, 3283?\n\"Answer: -q**3 + 75*q**2 - 10*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 112 + 108 + 29 - 126 - 236 + 113.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -9 and -21493\/2315 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*5*(-13)\/(-5). Solve -h = -4*h - p - 8, p = 4*h + n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222222 (base 5) in base 6?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7928 + 7918 - 15*s**3 - 7*s - 19*s**3 as r*s**2 + v + t*s**3 + q*s and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + 26 - 70. Suppose -t = -i + 1. Suppose -4*r = -4*z, 4*z + 0*r = -2*r + i. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 946 and 1293182?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.16 plus -9621104316?\nAnswer: -9621104317.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 5.69.\nAnswer: 0.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 13*d - 3*l - 3 = 0, 3*d = -4*l - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 - 388 - 379)*(4*q - 2*q - 4*q) - q - 3*q + 6*q.\nAnswer: 466*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65940 + 65940. Let b = 2.6 - 0.6. What is the smallest value in f, b, -0.5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 652196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrureurbru. What is prob of picking 1 b and 2 u?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000025451 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2488\/1866*(-42)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Find the second derivative of 2*v - v**3 - 2*v**3 + 0*v**b wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1211012210 (base 3) to base 9\nAnswer: -54183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 20 = -2*t - 4*n, -4*n = -2*t + 20. Let x = t - -1. Suppose x = i - 1. Let j(f) = f**2 + 3*f - 2. Determine j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1790 - 1790 - 171*y**3 + (1 + 9 + 1)*(0*y**3 + 4*y**3 - 3*y**3) + y**3 + 2*y**3 - 2*y**3.\nAnswer: -159*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1 - 4) + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -18.1. Let p = -1.44 - -0.04. Let z = 0.4 + p. Which is the nearest to o? (a) 1\/9 (b) z (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 + 186*g - 88. Let p be f(57). Solve 762*i = p*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9 - (-9067)\/(-1158). Let f = -2\/579 + c. Calculate the common denominator of (-45)\/(-8) + (2 - 4) and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 13 = 3*b, -2*m - 4*b - 2 + 22 = 0. Solve 3*q = -m*p - 0 + 6, -3*p + 13 = -2*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3 - -6?\nAnswer: -a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5040 - 5038. Solve -2*c = -3*k + 2*k + 9, j*c = 3*k - 11 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:43 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15100?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.8415kg in tonnes?\nAnswer: 0.0958415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**0*o)**(2\/17)*o\/(o\/o**(1\/2))*o*o**(-3\/8))\/((o\/o**(3\/2)*o)\/o**2*(o\/(o\/(o\/o**(-2))))\/(o\/((o*o**7)\/o))) assuming o is positive.\nAnswer: o**(-835\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 7532*g + 222360.\nAnswer: 4*(g - 1853)*(g - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -3477107031.\nAnswer: -3477107036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 839424806 to the power of 1\/2, to the nearest integer?\nAnswer: 28973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t + 4*f, 0*f - f - 77 = 4*t. Let d be (-2)\/t - 1160\/720. What is the nearest to 1 in -6, d, -1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -7900247182634.\nAnswer: -7900247182630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 399 + -462.9. Let d = g + 58. Round d to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 99*s - 1677. Give o(16).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*j - 646*j - 175*j + 260*j.\nAnswer: -996*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -150*i**3 - 8559*i**2 - 513*i.\nAnswer: -3*i*(i + 57)*(50*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5058*b**2 + 2*b + 1966323 - 1966323.\nAnswer: -5058*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 886.8326 nanograms to micrograms.\nAnswer: 0.8868326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(125)*-3 - sqrt(125))*-6 - (-3 + sqrt(125)*2 - sqrt(125)) - ((sqrt(125) - (sqrt(125) + 0 - sqrt(125)))*4 - 3*(sqrt(125) - sqrt(125)*1)))*4)**2.\nAnswer: 9120*sqrt(5) + 722144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.072 - 4.928. Let k = -3.95 + -0.05. What is the second smallest value in k, z, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*l + 0*l - 6*l)*(-2*l + l + 3*l).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1320, 29690, 81372, 153726?\n\"Answer: 10336*x**2 + 2*x - 11658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 128 and 2296?\nAnswer: 36736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1252693\/103530 + 2\/10353. Calculate the common denominator of -20\/11 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 102*v + 216.\nAnswer: -3*(v - 36)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.8386 - -3.8386. Sort 7\/8, 3, 1\/3, g.\nAnswer: 1\/3, 7\/8, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -80, 3, 4, 8.\nAnswer: -80, 2, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 7:24 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16259993?\nAnswer: 16259993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -237.274 + 237. Round j to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p**3 + 1278*p**2 + 181510*p + 8589864. Let f(c) = 5*c**3 - 426*c**2 - 60504*c - 2863288. Let o(m) = 17*f(m) + 6*k(m). Factor o(g).\nAnswer: (g + 142)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*v**2 - 5*v + 7*v - 716*v**2 - 585*v**2 + 12*v + 0*v.\nAnswer: -4*v**2 + 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -9, 10 in descending order.\nAnswer: 10, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -494*u - 275274 + 257490 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*a + 14 - 14 + (2 + 3 - 3)*(5 - 1 - 2 + a).\nAnswer: 13*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1012088\/(-318))\/62)\/((-4)\/(-2))?\nAnswer: -77\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48 - 53 + 157 - 1119*j - 56 to the form b*j + t and give b.\nAnswer: -1119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 420*p**2 - 3972*p + 9360.\nAnswer: -3*(p - 130)*(p - 6)*(p - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14906 + 14904. Let j(q) = 2*q**3 + 3*q**2 - 4*q - 9. Calculate j(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1731294 - 1732764 = -49*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*f + 2. Suppose 0 = f*n - 39*n - 502. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-198)\/(-180))*(-14)\/(-21)*1\/2?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 266939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -162*t + 17. Is k(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(1216) - sqrt(1216)*1)*4 - (sqrt(2736) + -2 + sqrt(2736) - sqrt(95)\/(sqrt(35)\/sqrt(7))))**2.\nAnswer: -184*sqrt(19) + 10067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 22 + -8 + -2 + 1. Suppose 3*m + 24 = 2*t, g - 39 = -t - 2*m. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(91)*3)\/sqrt(7).\nAnswer: -4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133808078 a multiple of 439?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3600120 and 205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32500781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 158\/(-158)*-1*(-6)\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367548?\nAnswer: 2, 3, 109, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9324179, 18648340, 27972505, 37296674, 46620847, 55945024?\nAnswer: 65269205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, 2\/5, -49\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, -1, -228 in ascending order.\nAnswer: -228, -8, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -11*c**4\/24 + 13*c**3\/6 - 5*c**2. Let s(b) be the first derivative of -5*b**2\/2 + 6*b - 9. Determine -6*a(h) + 13*s(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*f + 3*f + 8, 0 = 3*y + 5*f - 20. Suppose y = -0*k - 2*k + 6. Factor 5\/2*v**k - 2*v + 0 - 4*v**2.\nAnswer: v*(v - 2)*(5*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 1022?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0*s**2 + 2*s**2 - 2)*(s + 72*s + 10*s)*(2 - 5 + 2) to the form l*s**3 + f*s + n + a*s**2 and give l.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -16 - 14 - 20\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102029 and 218707?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.6 + -1.4. Let k = a - -15. Let m = k + -8.991. What is m rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3611*w + 50560. Calculate p(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = 2*s. Let j be s\/6 - (-128)\/24. Suppose 0 = z + 4*m - 51 + 18, 2*z + j*m = 63. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 25.4 (c) 1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m - 17. Let q(c) = 9. Let f(b) = -4*k(b) - 9*q(b). Let a be f(8). Find the common denominator of (-6)\/9 - a\/(-78) and 2\/3.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gt when two letters picked without replacement from {g: 1, o: 4, t: 5, b: 1, r: 3, d: 4}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 706 = 3*b - 891, 0 = 5*r + 4*b - 3975. Find the second derivative of -3 + 791*h**4 + 0 - 19*h**5 + h - r*h**4 - 3*h**3 wrt h.\nAnswer: -380*h**3 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.5518229 rounded to two decimal places?\nAnswer: -227.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + -5 - (2 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 26*g**2. Let v(k) be the second derivative of -16*k**3\/3 + 148*k. What is q(v(c))?\nAnswer: 26624*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 129\/4*o**2 + 67\/4*o**3 + 3*o**4 + 24*o + 5 = 0.\nAnswer: -2, -5\/4, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 divided by 3.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:23 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -885*a**2 - 36286*a - 23. Determine u(-41).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81937?\nAnswer: 81937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 4. Let z be t(-2). Find the second derivative of 0*n**z + 0*n**2 + n + 0*n - 3*n**4 wrt n.\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2.8, -19, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328297*b**3 - 464838*b**2.\nAnswer: 1969782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1130592 divided by 376864.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 21\/2*o**2 + 9*o - 1\/60*o**5 - 3\/2*o**3 + 0 - 3\/8*o**4. Let q(t) be the first derivative of g(t). Give q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boooboyooouoooyo. What is prob of picking 2 o and 1 b?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/2)\/((-310)\/(-65) - 5) and 79\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6311753 is divided by 654.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 2528250\/53 and 47702 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 3) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -273104, -1092432, -2457978, -4369742, -6827724?\n\"Answer: -273109*v**2 - v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/(((-90)\/(-140))\/1)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 199515 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -241 + 282. Let t(q) = 779*q**3 - 41*q**2 - 41*q. Let j(c) = -39*c**3 + 2*c**2 + 2*c. Give b*j(h) + 2*t(h).\nAnswer: -41*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-40635)\/90)\/(-129)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 106652 (base 7) to base 12.\nAnswer: b138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-3)\/(10 - 1))\/(1215\/19683)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2 + 12*m - 9 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37573? (a) 7\/5 (b) 4 (c) -0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73313069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, a: 7, v: 2}. What is prob of picking 3 a and 1 v?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42596 and 9108?\nAnswer: 4217004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - (-34 + 74 + -31)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*s**2 - 3*s - 15 wrt s.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11))**(2\/25) assuming c is positive.\nAnswer: c**(-2\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 155 = -0*m. Let s = 9 - m. Let c = -13 - s. Solve -c = 4*p - 29 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.11 + 5.11. Let r = 669.1 + 98.9. Let p = -767.5 + r. What is the third biggest value in d, -4, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 24*l + 30. Let q be z(-9). Suppose -454 - q = -4*c. Suppose -5*x + x = -c. Calculate the remainder when 221 is divided by x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122135846.\nAnswer: 2, 7, 31, 281419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k + k - k)*(26*k**3 - 16*k**3 - 13*k**3) in the form u + q*k + g*k**4 + j*k**3 + x*k**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/9, 0, 1\/6, 14685?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -173*t**2 - 323*t - 325. Determine m(-1).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 5:41 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18789.\nAnswer: 3, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4685, -5, 3, -31 in increasing order.\nAnswer: -31, -5, -1, 3, 4685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let j be (-3)\/24*-2 + (-54)\/216. Which is the closest to j? (a) 7 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/65)\/((-14)\/(-385)) - (-2 - -8). Is y less than or equal to 0.00041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/(-12))\/11*6\/4*(-1916)\/(-4790)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 41, -79.9, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 80?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130628 and 791.\nAnswer: 914396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55247.77 centuries to millennia.\nAnswer: 5524.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2578*n - 2160 = 2606*n - 5244*n for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-4*sqrt(88)\/sqrt(2))\/(sqrt(484)*1 - sqrt(484) - sqrt(484) - sqrt(4) - sqrt(4))*-4 + 2).\nAnswer: -4 + 32*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from jhhhhhhh?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204823, -409641, -614459, -819277?\nAnswer: -1024095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + sqrt(1100) + 3 + -4.\nAnswer: -1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3 + q**2 + 23996*q + 738867 wrt q.\nAnswer: 3*q**2 + 2*q + 23996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/(-2)*(5 - 7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 3, r: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*y**5 - 36059*y**4 + 523922*y**2?\nAnswer: -1260*y**2 - 865416*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -220c95 - -a?\nAnswer: -220c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 37397 + 5875 = -9*u. Let z = u + 7835. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**6\/3 + 11*x**5\/5 - 19*x**4\/4 + 13*x**3\/3 - 3*x**2\/2 - 3. Suppose b(i) = 0. What is i?\nAnswer: 0, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n - 35. Let s be w(-10). Suppose -36 = -5*z - i - 0*i, -i - 34 = -s*z. What is the greatest common divisor of z and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14488531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2042097 is divided by 696?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 363135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.944. Let o = 1.984323 - -0.015677. What is the smallest value in 1, k, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1329, 1335, 1345, 1359, 1377?\nAnswer: 1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 565514?\nAnswer: -5\/565514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -21. Let r be (j\/4 - -2)*-6. Differentiate 2*d - 2*d + d**r + 1 wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/10 - (-55)\/25. Suppose -u*i - 3*i + 6 = 0. Suppose 5 = 4*v + 1. What is the remainder when v is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**5 - 32*o**4 + 48*o**3.\nAnswer: 4*o**3*(o - 6)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50482977.\nAnswer: 3, 53, 317503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36778?\nAnswer: 2, 7, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17952*j**4 + 3*j**3 + 351811*j wrt j?\nAnswer: 215424*j**2 + 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*l - 18 - 11, -4*i + 3*l - 1 = 0. Let z be 4 - (i\/5)\/(12\/30). Suppose -73 = 5*u - s, z*u + 67 = u + 4*s. Does u = -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (1 + 2) - (-11217)\/(-11). Let o = -1021 - c. Let w = o + -160\/99. What is the common denominator of -83\/6 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10881 + -10861. Is -1 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4757 + 4853. Solve -9*h = 7*h + k for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, y: 10, s: 3, d: 2}. Give prob of picking 1 s and 1 b.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/9 + (-650)\/90. Let u(s) be the second derivative of -s**3\/6 - s**2\/2 + 10*s + 136. Calculate u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-7 - (4 - (-5 + 12))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1183649 and 518?\nAnswer: 1184167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2733125ml to litres.\nAnswer: 0.0002733125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155795 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-2)\/(-1) - (-77)\/(-33)). Let l(s) = s + 6. Calculate l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1999*k + 9016 + 16186 = -21108 - 27653 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -751.3 - -751. What is the nearest to -3 in -2, v, 1\/2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -328, -676, -1036, -1408, -1792, -2188, -2596?\nAnswer: -3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -2\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 63*u + 10. Let w(p) = -252*p - 39. Let f(z) = 9*m(z) + 2*w(z). Let a = -1507 - -1512. Is f(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400265619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -211202 (base 6) to base 16\nAnswer: -42f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-23)*r**(-6) assuming r is positive.\nAnswer: r**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -143, -0.4, 5, -108 in increasing order.\nAnswer: -143, -108, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.298467 and -1556.\nAnswer: -1556.298467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262155825 to the nearest integer?\nAnswer: 16191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -8. What is v in 24*v - 2*v**2 + k + 1 + 16*v + 20*v**2 = 0?\nAnswer: -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -398 - -4d?\nAnswer: -34a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(343) + sqrt(343) + -1)*-4*-4.\nAnswer: -19 + 224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10100, 10101, 10102, 10103, 10104, 10105?\n\"Answer: f + 10099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14656 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4560 and 167\/2400?\nAnswer: 45600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114180*z**3 + z + 2*z**2 + 96116*z**3 - 3*z.\nAnswer: 210296*z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/21 - 1190\/(-6).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/59184 and -151\/168.\nAnswer: 414288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34029, -35506, -36983, -38460, -39937?\n\"Answer: -1477*p - 32552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*k - 3947 - 1648 = 0, -4*k = 4*a - 22416. Let w = a + -44739\/8. Calculate the common denominator of -23\/11 and w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or -74?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l + 2. Let u be o(-3). Let y = u - -17. Let j = y + 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591462 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010010101000110 (base 2) in base 6?\nAnswer: 2151142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13\/4*m**2 - 1\/8*m**4 + 0 - 11\/8*m**3 - 2*m = 0. What is m?\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(((-2)\/146)\/(-1)). Let p = x + 7. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444140?\nAnswer: 2, 5, 122207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 788867?\nAnswer: 788867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3240) - (4*sqrt(3240)*-3 - sqrt(3240)))*-2)\/(4*(sqrt(8) + (sqrt(8) - (-2*sqrt(968) + sqrt(8))))*3).\nAnswer: -21*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 1:28 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3*sqrt(76))*-1 - (3 + (-2*sqrt(76) - sqrt(76)))*-4)**2.\nAnswer: -540*sqrt(19) + 6381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -67*k**2 + 33700*k - 17. Determine t(503).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2982292 is divided by 222?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3486 - 3279. Is 69 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -617357*c - 759728?\nAnswer: -617357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20118, 39756, 59394?\n\"Answer: 19638*y + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 23*u - 47. Suppose -3878 - 1690 = 232*r. Give f(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 612 (c) -1 (d) -20 (e) 0.42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 704, 2844, 6416, 11426, 17880, 25784, 35144, 45966?\nAnswer: 58256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43400141 (base 5) in base 16?\nAnswer: 5acd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12039 - -12096. What is the greatest common factor of 123 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 1920867?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*p = 2*f, 0 = 4*f + 3*p - 5. Let w be 2\/4 + (-535)\/(-2). Suppose f*i - i - w = 0. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70769.74 minutes in nanoseconds?\nAnswer: 4246184400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3\/5, -1, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**6\/660 - h**5\/165 + h**4\/132 + 2*h**3\/33 + h**2 - 28*h. Factor r(l).\nAnswer: -2*(l - 1)*(l + 1)*(l + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1155800 to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = a - 15 - 0, -84 = -4*a - 4*s. Calculate the least common multiple of 2 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 6*d + 5. Let t(u) = 2*u + 1. What is s(w) - 6*t(w)?\nAnswer: 2*w**2 - 18*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 6*k**2 - k**2)*(k - k + k)*(1 - 5 + 2)*(k + 4*k - 3*k).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -1\/2*m**4 - 3*m**3 + 1\/80*m**6 + 0 + 1\/8*m**5 + m**2 - 13*m. Suppose b(x) = 0. What is x?\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51457 or -51456?\nAnswer: -51456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1262450 and 955855?\nAnswer: 66909850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*-3*4\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*a + 24, -3863*a - 4 = -p - 3867*a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -955*q + 24. Let g(o) = -238*o + 5. Calculate 9*g(c) - 2*j(c).\nAnswer: -232*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.1651705 rounded to 3 dps?\nAnswer: -6.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 2*s**6\/15 + 7*s**3\/2 + 8*s**2 - 6. Let u(w) be the second derivative of m(w). Differentiate u(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 710055*p + 3579098 wrt p.\nAnswer: 710055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -81685\nAnswer: -4\/81685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) + (-3 + sqrt(13))**2 + sqrt(13))*-3*-1.\nAnswer: -12*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1026*z. Let b(v) = 19*v. Let t(w) = 323*b(w) + 6*u(w). Let h(s) = 38*s. Let n(m) = 3*h(m) + 5*t(m). Let i(f) = -f**2. What is n(i(p))?\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 5, r: 6, c: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011010 (base 2) in base 4?\nAnswer: 3122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 2*d + 4, -4 = -2*d - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 4*j**2 - 3*j + 4. Let c be g(3). Let n(t) be the second derivative of 3*t**3\/2 - 156*t. Let v be n(0). Solve -l = -v*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 28*r + 37. Calculate v(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/((-16)\/4))\/(6\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0468 + 6.1532. What is i rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 188*u**4 - 3 + 5*u**3 - 44*u - 191*u**4 + 569*u**4 - 192*u**4 to the form s*u**2 + h*u**4 + x*u**3 + a*u + d and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123.035 - 113.29. What is u rounded to 1 dp?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 11) in base 14?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005741917839 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*u = 86*u - 276. Suppose 0 = -2*y + u + 29. Let s = 55 - y. Sort 2, s, 5, 1.\nAnswer: 1, 2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d + 1 - 1)*(2 - 4 - 1) - 176 - 179 - d + 357 to f + p*d and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p**3 + 2*p**2 - 4*p - 1. Let y(i) = 4*i**3 + i**2 - 4*i - 2. Let g(h) = -3*q(h) + 2*y(h). Give g(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -139 - -137. Let h = 1 - m. Let d = 6 + -4. Solve -8 - 17 = 2*s - h*n, -4*n = -d*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, j: 1}. Give prob of picking 3 h.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 - 8*a + 54. Let u be z(-7). Suppose 17*j = u*j + 2620. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 1495828.\nAnswer: 7\/1495828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10014 and -3.\nAnswer: -30042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115422 less than -1.08157?\nAnswer: -115423.08157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4366 = -10*a + 12894. Let z = -615 + a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5205 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 - 2584*n**4 + 508120*n**3 - 27589056*n**2 + 26077572*n + 54177336 = 0. What is n?\nAnswer: -1, 2, 87, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 18*r**2 + r + 11. What is the smallest common multiple of 32 and c(3)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/8, -0.9, 4, 1, 14\/5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/(k**(-1\/4)*k))\/(k*k**(-3)*k\/((k**(-2\/15)\/k)\/k*k)))\/((k**(1\/4)*k)**42*(((k*(k\/k**(-1))\/k)\/k)\/k*k)**20) assuming k is positive.\nAnswer: k**(-4583\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i + 7*i + 9 - 4. Suppose -40*h + 81*h + 287 = 0. Calculate g(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 6) - (171 + -140).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -0.2, 1\/4, -0.12, 0.1, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596 = 10*q + 134. Let m = 67 + q. Let c(z) = 7*z. Let p(k) = 3*k. Let g(u) = -4*c(u) + 9*p(u). Determine g(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -263473 <= -263009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w - 0. Suppose -3*f + 1 = -5. Suppose 5*c = f*c + 6. Solve 5*j + w*d = j, -c*d = -5*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -544*b + 467291. Calculate y(859).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -135 - (27 - (29 + 50))\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 + -1 - 4\/((-16)\/84) and (-294)\/(-24) + 1\/(-4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14855 - 14857. What is the fourth biggest value in -4, 14, u, 2\/3, 13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48511759?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/6)*y*y*y**(-3\/2))**50*(y**(-2\/25)\/(y\/(y**(2\/13)*y)))\/((y*y*y*y**(-1\/4))\/(y\/((y*y**(-6)*y*y)\/y))) assuming y is positive.\nAnswer: y**(269063\/3900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41.69 - -0.69. Let b = k - -42. What is the closest to b in 0.1, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 221210.46 microseconds?\nAnswer: 0.00000256030625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99 - 26 - 42 + 2*p**3 - 31 + 91*p to f*p**3 + y*p + n*p**2 + b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.8 from -11.3.\nAnswer: -15.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 11*l + 0 - 1\/2*l**2 + 0*l**3 + 0*l**4 + 1\/10*l**6 + 0*l**5. Differentiate o(h) wrt h.\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 625, 611, 583, 535, 461, 355?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -29842, -0.2 in descending order.\nAnswer: 10, -0.2, -29842","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivvqjii. What is prob of sequence ij?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 + 3*z**3 + (4 - 6 + 3)*(1 + 0 + 1)*(-26*z**3 - 171*z**3 + z**3) + z**3 + 1 - 1 + 1.\nAnswer: -388*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 3*y**4\/4 - 8*y**3\/3 + 11*y**2\/2 + 2*y + 18. Let o(p) = -2*p**3 + 5*p**2 - 7*p - 1. Determine 5*f(a) + 8*o(a).\nAnswer: -a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -6. Let s be (-10)\/(-8) + h - -1. What is the nearest to 2\/9 in s, -2, 1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 968.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -d + 15, -5999*x + 15 = 4*d - 5996*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31432.9 + 31433. What is the nearest to d in -0.5, 2.2, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-840)\/(-490))\/(2\/((-224)\/12))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (2 + (2 + sqrt(1088))**2 - -2*(sqrt(1088) - sqrt(1088)*-3)) + 4 + -3).\nAnswer: -2188 - 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-33))\/((-1)\/(-18))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 19850*o - 19846*o + 89, o = 2*g - 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*j - 8147, -10*n - 2035 = -j - 9*n. Which is the third smallest value? (a) -2\/3 (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (570\/30)\/95*24\/(-4).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**3\/3 - p**2 - p + 1. Let n be j(3). Solve 3*i + 14 = -2*b - 3*b, 2*i - n*b + 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**2 - 456*h + 902. What is g(34)?\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 295\/2867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:10 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 683 + -680. Solve w = -w - t*m + 8, -w + 4*m = -4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-14)\/(-6))*-15. Suppose 21 + 54 = s*v. Solve -5*i = -v - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 7*w**2 + 8*w + 70. Let b be j(-6). Suppose -b = 60*m - 62*m. Calculate the remainder when m is divided by -5*((-56)\/10 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3969)*2 + sqrt(3969))\/sqrt(7).\nAnswer: 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -91*u + 86*u + 270. What is the remainder when u is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8280 + 8316 = 12*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 11*b + 56*b = 2304 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*((-121)\/(-6))\/11. Let p(c) = c**3 + 11*c**2 - c - 6. What is p(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 + 1)*98224\/84.\nAnswer: 2, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/4921 and -69\/4.\nAnswer: 19684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 47.3. Let x = -23\/3 + 19\/3. What is the second smallest value in 2\/5, -0.1, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-203)\/14)\/(-29))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -0.1375.\nAnswer: -5.1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/3 - 4*c**4\/3 - 6*c**3 - 20*c**2\/3 - 7*c\/3.\nAnswer: c*(c - 7)*(c + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146, -242, -338, -434, -530?\n\"Answer: -96*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 2:12 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141769 is divided by 19802.\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 12:26 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31, 5543 in ascending order.\nAnswer: -2, 31, 5543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 581 - 583. Let d be (-1)\/(-1)*1\/(-5). Put -2\/7, d, i in descending order.\nAnswer: d, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**38*n**(-15\/7))\/(n**(-32)*n**29\/n) assuming n is positive.\nAnswer: n**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - (2 + 0)) + 9. Let x = p - 14. Let g be 2\/x + 26\/(-7). Which is the closest to -2? (a) -3 (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 29\/4, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134*h**3*p - 2*h**2*p - 5*h*p wrt h?\nAnswer: 804*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 + (-4)\/5). Is o\/(4\/(-44)*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1534?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -16*h**2 - 1\/120*h**6 + 0*h - 7\/6*h**3 - 1\/60*h**5 + 0 + 1\/24*h**4. Give a(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 3)\/(2\/(-8)). Suppose 6*k + 5*t - 122 = 2*k, -116 = -z*k - 2*t. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-495) + (-14091)\/(-1089)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {q: 7, j: 2}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44501994 divided by -164214?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 4:02 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15207803 and 809883.\nAnswer: 136870227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**13*n)\/(n*n**35*n*n))**(-7\/9) assuming n is positive.\nAnswer: n**(56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 231, 245, 201, 93, -85?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21235 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*((sqrt(245) + -1 + sqrt(245))**2 + sqrt(245))*-2.\nAnswer: -630*sqrt(5) + 29430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5816*i - 2784*i - 2903*i.\nAnswer: 129*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-84)*(12 + (-18 - 532\/(-56)))\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -243498 and -0.15.\nAnswer: -243498.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11759, 11611, 11365, 11021, 10579, 10039?\n\"Answer: -49*v**2 - v + 11809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 33 = -3*m. Let v = -4 - m. Calculate the remainder when 27 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**4 + 2 + 354*z**3 - 356*z**3 + 45*z**4 to the form p + q*z**3 + s*z**2 + i*z**4 + h*z and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.9 + -4.9. Which is the second smallest value? (a) 5 (b) 0.41 (c) 2\/3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.3, -65, 5\/3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3113742.7 to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42103049*y**5 + 30051972*y.\nAnswer: -842060980*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4367893565 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*z**3 - 69*z**2 - 12 - 53*z**3 - 123 - 271*z - 68*z**2.\nAnswer: -(z + 1)**2*(z + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6924944 divided by -20488\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -252*f**3*w + 2*f**3 - 4*f**2*w + 303*f**2 + 9*f*w - 2*f - 12*w + 46 wrt w.\nAnswer: -252*f**3 - 4*f**2 + 9*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -5*n**2 + 6 + 4*n**2 - 3 + 4*n - n**3. Let a be g(-2). Sort 5, -5, a in decreasing order.\nAnswer: 5, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 0.58 (b) -1\/1093 (c) -0.4 (d) 2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 11) to base 13.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -367246 to the nearest 100.\nAnswer: -367200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2 + 5*f**2 - 5*f**2 + f**2. Let q = -8 - -10. Let r(i) = 14*i**2 - 10*i**q - 6*i**2. What is r(c(b))?\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5*p - 25441, 6*q + 38228 = 9*q - 2*p. What are the prime factors of q?\nAnswer: 2, 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-616)\/528 - (-3247)\/(-1422)) + 4\/18. Which is bigger: o or -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minus -43099?\nAnswer: 43109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-2\/21)*b*b*b**(3\/2)*b*b)**26 assuming b is positive.\nAnswer: b**(4043\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(208) + 3) + (0 + 0 + sqrt(208) + sqrt(208) - (-2 + -1 + sqrt(208))))**2 + 5.\nAnswer: 72*sqrt(13) + 1886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 2*h + 0*h)*(-2*h + 3*h + 0*h) + (2*h - 2 + 2)*(-3*h + 2*h - h) + 3*h**2 - h**2 - 4*h**2 - h**2 - h**2 + 0*h**2 + h**2 + 2*h - 2*h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5333993 is divided by 1333479?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*t + 22, 0 = 2*t + 3*t + 3*x - 26. Let r(v) = -v - 1. Let a be r(-1). Differentiate 6*d**3 - t*d**3 - 1 + a with respect to d.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5213101?\nAnswer: 17, 306653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * -112.9.\nAnswer: -2.1451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -4 (c) 5 (d) -88\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/4*(-2)\/10. Let j = -17 - -16.92. Which is the third smallest value? (a) j (b) l (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*f**2 + 2443*f + 326.\nAnswer: -(f - 163)*(15*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5280 in 22, 3\/4, -2\/3, -5, -1\/5, -2\/13?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 2*g - 13. Let j be r(6). Let m(u) = -6 - 71*u - 8 + 3 - j. Is m(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-40) - -6*3\/(-6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**2 - 6*z - 3465 = 0.\nAnswer: -33, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5186)\/(-56) + (-3)\/(-12). Let q = 93 - f. Let z = 364 + -369. What is the smallest value in 0.5, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 19*s**4 + 4*s**3 - 173. Let j(u) = u**4 - u**3 - 1. Let c(r) = 2*j(r) + w(r). Find the first derivative of c(k) wrt k.\nAnswer: 84*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491 - 461. Calculate the common denominator of (-427)\/w + 12\/30 and -83\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((a*a**(2\/5))\/a*a)))**(-5\/7)\/(a**1\/a*a\/(a**6\/a)))\/(a**(-3\/2)\/(a**(-4)\/a)*(a\/(a\/((a**(-1\/2)\/a)\/a)*a))**(-2\/9)) assuming a is positive.\nAnswer: a**(-23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*f + 11*f - 18*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 2*m. Let p(f) be the first derivative of -2*f**3 + 15*f**2\/2 - 42. What is 30*h(q) - 4*p(q)?\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -24*i**3 + 2*i**2 - 5*i - 2. Let p(q) = q + 6. Let h(m) = 1. Let y(d) = h(d) - p(d). Let o be y(-2). Is x(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13 + (-4 - -60)\/(-7). Solve 4*a + 12 = -u*b, 0 = 3*b - 0*b + 5*a + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02298077 * 3\nAnswer: 0.06894231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -1\/6*b**4 + 0 - b + 0*b**3 + 0*b**2. Let d(o) be the second derivative of o**4\/12 + 14*o. What is d(k(q))?\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 33003*c + 3 = -33001*c, 2*c = 6*l + 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3678*x - 2144277. Determine h(583).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 28152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4424*f**3 + 3145*f**3 + 1273*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-301)\/(-903)*1\/(-1*(-48)\/(-9))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 + -78. Is 8\/9 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*5\/30*0. Suppose 0 = -0*p + 5*p - 20, u = 3*s - 4*p - 950. List the prime factors of s.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 6*y**5\/7 + 6*y**4\/7 - 144*y**3\/7 + 24*y**2\/7 + 960*y\/7 - 1152\/7 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5536 to 2 dps.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 200630.\nAnswer: -1\/40126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39726 + 38868 = -39*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/12217230 and 25\/21.\nAnswer: 85520610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 424, 0.05 in decreasing order.\nAnswer: 424, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -48*f**2. Let x(t) = -13*t**2 + 36*t**2 - 28*t**2 - 28*t**2. What is x(v(p))?\nAnswer: -76032*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 378031206 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -89, -123, -137, -125?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17820173 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/2*10\/85. What is the second biggest value in v, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24827323?\nAnswer: 4271, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.13 + -0.57. Let p = x + 1.1. Sort p, 0.3, 3 in decreasing order.\nAnswer: 3, p, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-30))\/((-1553)\/(-46590))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o - 34. Let p be i(8). Suppose 3*k = 2*f, -5*k - 4*f + p = -16. Suppose -71 - 13 = -k*c. What is the greatest common factor of c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(4\/5)*p*p**(-3\/5))\/(p\/p**0)**(-1\/21)*((p**2*p*p)\/p)**(-9)*(p\/(p**(-2\/3)*p))**(-14\/9) assuming p is positive.\nAnswer: p**(-25316\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1481858340423 + 0.09?\nAnswer: 1481858340423.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -2 - (0 + -5). Suppose 0 = n*o - 17 - 127. What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4134611?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6316 divide 1744491832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92824531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 7) + 3 + -84 + 57 + 17?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccbbccccbcbcbcccbcb?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.152 + 0.552. Sort -0.3, 0.5, h, -2\/5 in descending order.\nAnswer: 0.5, h, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(304)*2 - sqrt(304))*-2 + -1)**2.\nAnswer: -3651 - 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 1. Let w(b) = -118*b**2. Determine w(h(k)).\nAnswer: -472*k**2 - 472*k - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/3478 and -45\/812?\nAnswer: 1412068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -27*o + 10. Let m(t) = 43*t - 16. Let v(r) = 5*m(r) + 8*u(r). Let a(i) = 12*i**3 - i**2 + 2*i. Determine a(j) + 2*v(j).\nAnswer: 12*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3122000 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -479, 1.4, -0.2 in descending order.\nAnswer: 1.4, -0.2, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18517 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f + 19 - 1 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -668\/3 - -2669\/12. What is the second smallest value in s, 5, -5, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24 and 403361.\nAnswer: 403385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -133 and -5224\/39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*z + 57. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 58334*i\/3 + 175004\/9.\nAnswer: -2*(i - 87502)*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + o**2 + 3. Let j be w(0). Let 0*t**j - t**3 + 2*t - 6*t + 4*t**2 = 0. Calculate t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -15, 4.\nAnswer: -15, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 1, j: 1, m: 2, b: 2}. Give prob of sequence ej.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Let o = 8476 + -8484. Is f > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*b = -3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 12. Let j = m + -3. Let d(z) = z**3 + 7*z**2 + 5*z + 1. What is the remainder when d(-6) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5167278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t - 1. Let b be r(-2). Suppose 5*m + 15 = -u + 176, b*u = 2*m - 61. Let j = 33 - m. Solve -2*z + j = 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 8, z: 3}. Give prob of picking 1 r and 2 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5 - 1. Suppose 2*n = -n + a - 64, 2*a - 8 = 0. Let d = s - n. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 4*o**2 + o. Suppose -t - 5 = -1. Determine u(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111110011011010101 (base 2) to base 3.\nAnswer: 222022100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -85*i**8\/56 + i**5\/30 - 37*i**4\/6 - 7*i**2 + 20. What is the third derivative of y(p) wrt p?\nAnswer: -30600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -654.0995 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*i = -423, 711 = 5*z - 2*i - 337. Solve z*a = 214*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*u - 10 = -108*u. Find the third derivative of -5*h**2 + 8*h**5 - 21*h**5 + 2*h**u - 16*h**5 wrt h.\nAnswer: -1740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1227 and (1 + (-105)\/(-18))\/(63 + -57).\nAnswer: 14724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 2*p**2 - 6*p + 5. Let u be l(4). Let z = u - 11. Solve -m - 1 = z*t, 0*t + 5*t + 3*m = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(13\/(-78)*4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 603*i - 583. Let d be j(1). Let l = -9 + 17. Solve -3*w = 4*c - d, 5*c - l = -2*w + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3. Let m be l(1). Let t be 96\/(-54) - (40\/18 - m). Let x(u) = -473*u**3 + 3*u**2 - 2*u - 7. Is x(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 5*d**2 - 2*d + 14. Let c be (-7)\/14*-8 - -1. Let u be p(c). Solve -4*a - 4*w - u = -0*w, -3*a - 7 = w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 0*u + 1\/2*u**2 - 7. Let r(z) = -3*z**2. Give b(r(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 13*k**2 + 63*k - 232. Is o(22) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20 - -48) + -26 - (-242)\/6 - (-20)\/12 is divided by -9*(-1 + 1\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*u, 3*b - 40 = 2*u - u. Let w(c) be the second derivative of -4*c**3\/3 + 215*c**2\/2 + 33*c + 2. What is the remainder when w(24) is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 less than -6759950.2963?\nAnswer: -6759950.1263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -4577 (c) 532\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 15. Let p be 0\/(i\/2 + -4). Suppose -64 = -4*n - 2*a, n + p*a - 11 = 2*a. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + ((-18)\/54)\/(1\/12). Let h(s) = -2*s + 6. Let a(q) = -7. Let d(y) = -11. Let l(n) = -8*a(n) + 5*d(n). Calculate w*h(o) + 6*l(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssbtssllsssb. Give prob of sequence lt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -3.93. Let q = m - -4.2. Let v = 1.2 - q. Which is bigger: v or 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (3 + 29) - -15?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2122239493 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 740502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 180 + 26 = -39*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345184 and 10?\nAnswer: 1725920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194 - -196. Suppose -6*u + 2*u = -l*g - 12, -2*g - 15 = -5*u. Solve -4*f = 4*o + 8, 0*f + u*o = 2*f - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18400 and 1983200?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 16565*x - 1064259. Determine g(-64).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 4:23 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5944 + 1261 = 0. Let f = v - 967. Let n = -174 - f. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 4*o - 2*i, 0*o = o + 4*i - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - -3) + (-8 - -14) - (3 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = -8. Let l be w - -6 - 12\/(-9). Factor 8\/3 + 10\/3*d**2 - l*d - 2\/3*d**3.\nAnswer: -2*(d - 2)**2*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2294886 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 1 = -15. Let l = -5 - v. What is the second derivative of -o + o**2 - l*o**2 - o**2 wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -65*(-2282)\/70*1.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093667377 to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 3. Give f(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*o - 8, 20 = 4*o + 33*c - 34*c. Let b = -5 + 8. Solve -3*k + o*k = m, b*m = k - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0 - (1 + -6)) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4349 + -2543. Is 17 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-757*s - 185*s - 18*s)*(5 - 4 + 1) to the form l*s + x and give l.\nAnswer: -1920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -7439*z**4\/4 + 4416*z**2 + 11990. What is the second derivative of w(x) wrt x?\nAnswer: -44634*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 630, 2492, 5490, 9534, 14534?\n\"Answer: -15*b**3 + 658*b**2 - 7*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 15*l**2 - 13*l + 10. Let n(k) = -3*k**3 - 44*k**2 - 38*k + 29. Let i(p) = 6*n(p) - 17*r(p). Give i(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 + 10*w + 4. Let y(s) = -7*s**2 + 21*s + 8. Let i(p) = -4*y(p) + 9*z(p). What are the prime factors of i(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 295? (a) -1 (b) 0.09 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 7 = -3*v - z, 6 = 4*v + z. Let w = 258.18 + -263. Let n = w + -0.18. Which is the nearest to v? (a) 5 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, h: 2, v: 2, o: 3}. What is prob of picking 1 j and 1 v?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 - 3*r + 3. Let o(v) = v**2 - 7*v + 3. Let s be o(6). Let d(z) = -z. Let t(y) = s*d(y) + a(y). Find the first derivative of t(h) wrt h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*r**2 + 4414 - 2211 + r**4 - 2209 to the form g*r**4 + c + h*r**2 + u*r + b*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61639 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(126)*1 + sqrt(126))\/(-2*sqrt(700) + sqrt(700)) + -4 + -4))**2.\nAnswer: -768*sqrt(2)\/5 + 25888\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eerceveeeceeeveeeer. Give prob of sequence eve.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21996 divided by -6.\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.4 and 0.04546206?\nAnswer: 1.35453794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3050*f + 3057*f + 722*f**2 - 1 - 6109*f to the form q + p*f**2 + v*f and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/15 - (-17)\/35. Let h = 4 + -2.2. Let o = -2 + h. Which is the third biggest value? (a) o (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*s - 2. Let o = s - -18. Suppose 0 = 3*p - 21 - o. Calculate the highest common divisor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 1. Let g = -0.3 - -0.6. What is the second smallest value in -3, d, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*d - 315 + 1663 = 0, h - 346 = 5*d. Suppose -5*u = 136 - h. What is the highest common factor of 24 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = 1. Suppose k - 13 = -0*k. Suppose 0 = -5*h + 3*c + 18, 0 = 2*h - z*h + 4*c + k. 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 value of (-11)\/((-198)\/63)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i\/i**(19\/3)))*i**12*(i\/i**(10\/9))**(-4\/7) assuming i is positive.\nAnswer: i**(424\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 421 and 24839?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(-1\/11)))\/(o**5*o*o*o)*o**(1\/5)\/o*o**(-14))**17 assuming o is positive.\nAnswer: o**(-21233\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 6 = -1. Which is smaller: s or 57?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -1364?\nAnswer: -1358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239653779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1141 + -1141. Let x(t) = -t + 7. Let k be x(5). Suppose 5*p - 4*h + 7 = q, p = -4*h + k + 11. Sort 2, 0, p, -2 in ascending order.\nAnswer: -2, 0, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8346359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-63))\/(8\/(-18)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11340*g**3 + 158*g**2*t - 167*t + 18322 wrt g?\nAnswer: -34020*g**2 + 316*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-145)\/35 + (-1)\/(-7). Let i be (-14)\/b*(-8)\/(-14). Solve -x = -2 - i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 84 = 4*d, 3*g - 4*d = 34 + 92. Let o be (-4)\/14 - (-26)\/g*1. What is the second smallest value in 4, -2, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:37 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.2 and 1.8.\nAnswer: -124.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1 + 2 - t + 1. Let x(f) be the third derivative of -f**3\/6 + 5*f**2. Let h(p) = -p**3 + 5*p**2 - 4*p + 1. Let n be h(4). Determine n*j(o) + 2*x(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 551 = -197. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98316 - 187982 - 356906 = 11492*x + 196980 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a tonne in kilograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1396890575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/21)*l**5)\/(l**(-2)*l*l**(5\/3)) assuming l is positive.\nAnswer: l**(110\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1467*m - 1472*m + c - 10 = 0, 9*m - c = -18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -227141260*r**2 - 1994160*r - 1 wrt r.\nAnswer: -454282520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phs when three letters picked without replacement from bphzpsbttzstbt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/3713 - -3464237\/7426. Let b = u + -23399\/50. Calculate the common denominator of 31\/8 and b.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - r = -1181, -h - r + 134 + 99 = 0. List the prime factors of h.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(2 - 0 - 0). Let h be a\/2*(-7)\/2. What are the prime factors of 16\/h - (-6)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*u + 3*j + 11 = -82*u, 9 = 3*j. Solve 0 = -3*z - 9, m = -12*z + 15*z + u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 250, 500, 750, 1000, 1250?\n\"Answer: 250*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 10095 - 10284 = 0 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/160293956 and 149\/721322802?\nAnswer: 1442645604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 67.5, 5, 0.2, 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211, -268, -323, -376, -427, -476?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007252883333 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18583, 284, -5 in ascending order.\nAnswer: -5, 284, 18583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52413079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 14227956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d**3 + 40*d**3 - 143*d**3 + 41*d**3 + 36*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**7\/126 + o**6\/15 + 11*o**5\/60 + o**4\/18 - 2*o**3\/3 - 4*o**2\/3 - 298*o. What is x in y(x) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - -0.02. Let t = p + -1.85. Sort t, -0.2, -2\/3.\nAnswer: t, -2\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*-1*3. Find the second derivative of -q*t**4 + 0*t - 3*t - 3*t**3 + 3*t**3 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1844860810 and 1339?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s + 32. Let c(u) = u**3 - 5*u**2 - 22*u + 56. Let w be c(7). Let l be o(w). Solve -3*d = -2*a - 22, -2*d = 4*a - 5*d + l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 6*q - 9*q + 1)*(-q**4 + q**4 - 2*q**4).\nAnswer: -4*q**5 - 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k - 2*k + 3*k)*(-4 + 0 + 2) - 1 + k + 1 + 4*k - 2*k + 0*k + 3 - 4*k - 3 + 15*k - 6*k + 14*k)*(0 + 2 - 5).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 11374 = -15*o. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -18*r - r**2 - 3 + 16*r - 7 + 10*r. What is a(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3640 divided by -7?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3633464 (base 7) to base 2.\nAnswer: 1110000110110110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*v - 3*m + 11, 0 = 2*m - 4. What is the nearest to 0 in v, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 14 - 1\/((-1)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.12 (b) 1 (c) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30f + -a?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 2*a - 2*a + a**2 - a**2 - 2*a**3 + (0 + 0 - 2)*(-2*a**3 + 0*a**3 + 0*a**3) + 0 + 2*a**3 + 0 + 418 + 443 - 2*a**3 - 833.\nAnswer: a**3 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14338, -57336, -129000, -229330, -358326, -515988?\nAnswer: -702316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5409 and 24.\nAnswer: 43272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32466970, -64933943, -97400916, -129867889, -162334862, -194801835?\nAnswer: -227268808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24840928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {b: 3, d: 7, z: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3 + h + 3 - 3 + h**2 + 4*h. Let c be w(-6). Solve 0 = -5*x + a - c*a, -a = -5*x - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, 76, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1219 + 3954 = -116*x - 2093 + 72 for x.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146871404 a multiple of 416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 6*h**2 - 9*h + 20. Let b be s(7). Let i = b + 2. Let p(g) = -g**2 + 9*g - 4. What is p(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 2*u + 7*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1753*k. Let c(w) = -673*w. Calculate d(c(r)).\nAnswer: -1179769*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2139, 2147, 2155, 2163, 2171?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26 - 22) + (0 - -1). Suppose a*p - 380 = 2*k, 2*p - k + 4 = 155. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - t - 555, 0 = 4*m + 2*t + 113 - 659. Suppose 3*p = -0*p + m. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -10*t**2 - 4*t + 1. Let x(b) = -3*b**2 - b. Calculate -4*o(w) + 14*x(w).\nAnswer: -2*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-27))\/(12\/(-9)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71833*p - 71839*p - 2*v = 26, -5*v = -5*p - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) + sqrt(108) + 3*sqrt(108) + sqrt(108) - sqrt(108))\/sqrt(2)*-6)\/(2*1*sqrt(12)*3))**2.\nAnswer: 225\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11581617517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 5. Suppose 5 = -6*g + 5*g + 2*t, g + 3*t - 20 = 0. Sort -5, d, g.\nAnswer: -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/28896 and 173\/480.\nAnswer: 144480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21.1 + 5.9. Let r = j + -9. Let b = 7 - r. What is the third smallest value in -0.2, b, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2185.83 + 2168. Let y = n - -17.83000733. Round y to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**(1\/3)\/(y*y**(1\/6)*y**(-6\/11)*y))**(-4\/7) assuming y is positive.\nAnswer: y**(29\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - r**2 + r + 8. Let f(s) = s**2 - 11*s - 10. Let p be f(8). Let z = 56 + p. Calculate the remainder when z is divided by m(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 >= -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 12\/(0 + 4). Let b(g) = 5*g**2 - 5. Let i(t) be the third derivative of -t**5\/12 + 2*t**3\/3 + 334*t**2. What is h*b(m) + 5*i(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4 - 2. Let p(f) = f**2 + 5*f - 4. Let a be p(-5). Let c = a + 31. Solve -g + c = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.054 - 1.054. Let p = -5.8 - -0.8. Let n = -7 - p. Is n greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2683*f - 2746*f - 93706 = 215747 for f.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 26e5e5 (base 15) to base 13\nAnswer: 506870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261319545 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 328*j - 3187. Calculate n(10).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -51995944 divided by -499961?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.1 - -4.66. Let x = v + 0.1. Is -1\/2 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 0*x + 1\/3*x**3 + 0 + 0*x**5 + 0*x**6 - 3*x**2 + 0*x**4 - 1\/70*x**7. What is the derivative of m(s) wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 3*a - 3*a - 4*a + 49 - 247, -18*p = -3*a - 66 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19.8777 times 1.7\nAnswer: 33.79209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c090 (base 15) to base 7.\nAnswer: -1431153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2375, 2368, 2359, 2348, 2335, 2320, 2303?\nAnswer: 2284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uoofutuvpptv. Give prob of sequence tvt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3070, 13352, 30504, 54532, 85442, 123240, 167932?\n\"Answer: f**3 + 3429*f**2 - 12*f - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: -16.588 times -908\nAnswer: 15061.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122 and -38.\nAnswer: 4636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/2848 and 25\/370596.\nAnswer: 2964768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-6*z**4 + 13*z**4 + 3*z**4).\nAnswer: -30*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + ((-279)\/(-72))\/(5\/40)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17031 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*p = 323*p + 144 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -46. Suppose 0 = 4*o - f - 6. Suppose -o*m + 1640 = 3*q + 2*q, -2*m = -5*q - 677. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(2016)*-1 + sqrt(2016)))\/(-2*sqrt(200)*-4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1. Let i = 1 + 2. Calculate the lowest common multiple of i and d(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-14))\/((-9)\/12*23).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.34451 years in months?\nAnswer: 16.13412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111020 (base 3) in base 10?\nAnswer: -1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4544, -4543, -4540, -4535, -4528, -4519, -4508?\nAnswer: -4495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-36)\/10)\/((-12)\/(-80)). Let p = y - -35. What is the remainder when 30 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 4. Let j(u) be the second derivative of 0 - 3*u - 1\/2*u**2. What is 3*j(w) + p(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 55*i**2 + 755*i - 62. Determine s(31).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63*d**2*h*q**3 + 41200*d**2*h + 4*d**2*q**3 + 84*d**2*q**2 - 5*d**2*q + 26*d*q**3 + 3*q**3 wrt h?\nAnswer: 63*d**2*q**3 + 41200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46b2 (base 13) to base 3.\nAnswer: 111122102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.92 - -4. Let m = -2866.69 + 2866.49. Let p = -1 - -1. Which is the nearest to m? (a) p (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 258657 and 2500351?\nAnswer: 7501053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -30 + 6. Let a be 100\/(-3) + q\/(-18). Let c = a + 48. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5614458929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1854, 6422, 14026, 24660, 38318, 54994?\nAnswer: 74682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y + 12*y + y**2 + 3*y**3 + 1 - y**3 - y**3 to t*y**2 + z*y + r*y**3 + n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*o = 13 - 8, 0 = 4*b - o - 1. Let c(a) be the third derivative of -1\/9*a**3 - 4*a**2 + 1\/24*a**4 + b*a + 0*a**5 - 1\/360*a**6 + 0. Factor c(z).\nAnswer: -(z - 1)**2*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)\/(30\/(-20)). Let j(b) = 3*b + 39. Let t be j(-12). Suppose -2*f + t*d = 7*d - 16, 4*d - 20 = 0. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 18*g = 35 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89a143 (base 12) to base 2.\nAnswer: 1000010111110101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(-5*i + 0*i + 3*i) + 28 - 18 + 5 - i - 10 + 10 + 3*i.\nAnswer: 6*i + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/t**(-8)*t)*t\/(t\/(t\/(t\/((t\/(t*t\/(t*t\/(t*t**1))))\/t)))*t))\/(t*t**(-2\/5)*t*t**(-2\/7)) assuming t is positive.\nAnswer: t**(-501\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*k - 7*m - 23, 0 = -2*k - 4*m - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-7))\/(-2 + 0). Suppose 0*j + 4*j - 13081496 = q. Suppose 5*k - 520374 + j = 0. Round k to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 5:40 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/2, 4, -100.7, 1\/6, -17?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/336 + 11*t**5\/60 - 6*t**2. Find the third derivative of a(n) wrt n.\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*t - 4 = 0, 179 = -5*o - 2*t + 192 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p - 48. Let d be z(-17). Suppose 50 - 6 = 4*n + g, -5*n - d*g = -55. Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39 + -0.09. Let h = 2.95 + 0.05. Let z be (-2)\/(-7) - 68\/42. Which is the smallest value? (a) h (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12113011130 (base 4) to base 12\nAnswer: 684b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87376319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = 19*v - 22*v. Which is smaller: v or 90?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x + 11. Let t be f(-3). Find the common denominator of -15\/11 and (214\/t + 1)\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 279 - i - 101 - 161 + 6*i - 7*i - 4*i.\nAnswer: -4*i + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-7)*7\/(7\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -12, 47\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 6 - 9*n + 0 + 2*n. Let g be c(-4). Let -9*k**4 + g*k**4 + 40*k - 20*k**3 - 5*k**5 - 15*k**3 - 20 - 5*k**2 = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53970\/13 - -22290195\/5369. Let a = 2\/59 + r. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*c. Suppose c*z - 12 = 3*z. Put z, -1, -3 in descending order.\nAnswer: -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let j(p) = 278*p**2. Calculate j(v(d)).\nAnswer: 1112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54954982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 4227580.49?\nAnswer: 4227580.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597336, -597439, -597542?\nAnswer: -597645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*y - 62*y - 12*y)*((1 - 3 + 4)*(1 - 3 + 3) + (-3 - 1 + 3)*(3 - 4 - 1))*(-y + 4 - 4) as i*y + b + h*y**2 and give h.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, -21877, 3.\nAnswer: -21877, -73, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 10 + 4*f**2 + 10)*(321 - 624 + 325).\nAnswer: 88*f**2 - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.1 (c) -2\/47 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 2. Suppose 4*l + 2 = -3*y + 7, -10 = -3*l + u*y. Suppose 20 + 7 = 9*c. Solve 1 - l = -q - k, -c*q - 3 = k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 39863408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4961330 to the nearest 10000.\nAnswer: 4960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 21308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 193, 1, 3, -0.2 in decreasing order.\nAnswer: 193, 3, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 11*h**2 + h - 11. Let l be b(11). Solve 0 = -4*g - 16 - l for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957.975g in kilograms?\nAnswer: 3.957975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007980958356 rounded to 7 dps?\nAnswer: 0.0007981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 2*x**2)*(-5*x + x**3 + 5*x).\nAnswer: -2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 6:35 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**3 - 7*i**2 - 14*i - 15. Let q be r(-3). Let c be (-10)\/3*3\/1. Let g = q - c. What is the greatest common factor of 5 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4326401 - -22?\nAnswer: 4326423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, r: 6}. What is prob of picking 2 r and 2 g?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-3\/4)*b)*b\/(b\/b**(1\/7)))\/(b**16*b*b**(1\/7)) assuming b is positive.\nAnswer: b**(-79\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 47451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3 = -9. Sort 4, t, -3 in descending order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (-10 - 6) - (3 - -1 - -5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -35*b**2. Let w(s) be the first derivative of 15*s**2 - 1157. Give w(f(g)).\nAnswer: -1050*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2915\/8 + -11017\/24. Let m = 98 + j. Let 10\/3*u**5 - m*u**3 + 4\/3*u**4 + 0*u + 0 - 4\/3*u**2 = 0. What is u?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 321 - 1?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -87 times 940\nAnswer: -81780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + (3\/(-45))\/(2\/206). Let r(j) be the second derivative of -9*j + 1\/30*j**4 + 0*j**2 + z*j**3 + 0. Factor r(i).\nAnswer: 2*i*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 6317263?\nAnswer: -6317266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 1 = -2*d, -d - 25*f = -18*f + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 107*i**3 + 33*i**2 + 9*i + 24. Let l(p) = 27*p**3 + 8*p**2 + 2*p + 6. Let v(j) = -9*l(j) + 2*t(j). What is the third derivative of v(u) wrt u?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 7*o + 2*o**2 + 3*o.\nAnswer: 2*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 14*y**2 + 2*y - 11. Let r be p(14). What is the highest common factor of 17 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 304 (base 6) to base 16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -8. Let g be (-2)\/o*18\/(-4). Solve 2 = -d + 3*d + 2*b, d + g*b = 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -k + 4*j - 26663, -17737 = 2*k + 5*j. Let m = k + 444067\/50. Find the common denominator of 38\/35 and m.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 31*f + 211. Give v(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 77700*i + 97. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (-4 + 18 + -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 3)\/(1\/29775). Let g = z + 97875. What is g rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*2\/(-8)*2. Let l(p) = -p**3 - 11*p**2 + 3*p + 11. Let i(z) = -z**3 - 10*z**2 + 2*z + 10. Let y(k) = 5*i(k) - 4*l(k). Give y(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 210005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/3 - 2266*y + 447360 = 0.\nAnswer: -6990, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 647*b**4 + 213 + 2*b + 3*b - b - 2*b wrt b.\nAnswer: 7764*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let b(c) be the first derivative of c**6\/24 - 4*c**3 + 2. Let x(s) be the third derivative of b(s). What is h(x(y))?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 52350654 divided by 17450218\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 44*y**2 - 1. Give s(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -53, 3, -1 in ascending order.\nAnswer: -53, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -24*d**5 - 58*d**4 + 754*d**3 + 2636*d**2 + 768*d - 576 = 0.\nAnswer: -4, -3\/4, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3267 is divided by 1632.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 242030 divided by 5\nAnswer: 48406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2104*i**2 - 6252*i**2 + 2090*i**2 + 2034*i**2.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (318*d - 17*d + 46*d)*(-2*d**3 + 0*d**3 + 0*d**3).\nAnswer: -694*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 1 + 7. Let y(r) = 29*r**2 - 5*r - 6. Let q(h) = 6*h**2 - h - 1. Let u(c) = 5*q(c) - y(c). Determine u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x**3 + x**3)*(32 + 3*x - 32) - 2 - x**2 + 2*x**4 + x**2.\nAnswer: 8*x**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/645989 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38\/7 - -37\/7. What is the nearest to 2\/3 in 3, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.3860849ns to weeks.\nAnswer: 0.00000000000010149815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -453*b + 4. Let l(x) = -21*x. Give l(r(m)).\nAnswer: 9513*m - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(500) + 3 + -1) + ((-3*sqrt(55))\/sqrt(11)*2)**2 + -1.\nAnswer: -30*sqrt(5) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732 = -8*c - 220. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-120))\/(-2*(-2)\/(-4))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + f**2 - 2*f - 1. Let x(c) = -15*c**3 - c**2 + 12*c + 4. Determine 6*p(r) + x(r).\nAnswer: -27*r**3 + 5*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2132*r - 7. What is the hundreds digit of n(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i + 41. Let t(r) = -r - 53. Let g(h) = 4*t(h) + 5*v(h). Let k(l) = l - 6. Let y be (8\/24)\/((-3)\/27). Determine y*g(o) + 4*k(o).\nAnswer: o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6295324879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/120 - 81*x**5\/20 + 163*x**4\/8 - 245*x**3\/6 - 2*x**2 + 34*x. Factor l(y).\nAnswer: -(y - 1)**2*(y + 245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 929 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -3*j**3 + 78*j**2 - 90*j - 119. What is w(24)?\nAnswer: 1177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -31cca978?\nAnswer: 31cca975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176\/27 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -23037 at most -23038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/8710 and 97\/8710?\nAnswer: 8710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1466811527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m - 68. Let z be q(0). Let a = 74 + z. Let g(x) = -9*x - 8. Let v(b) = -8*b - 7. Calculate a*g(i) - 7*v(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6944094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -44.67. Let p = -2.67 + c. What is the closest to -0.3 in 0.2, p, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6944 + 6943.9. Suppose z - 15 = 4*z. Let p = -1.18 - -1.3. Which is the third biggest value? (a) z (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -188176, -376371, -564592, -752839, -941112, -1129411, -1317736?\n\"Answer: -13*j**2 - 188156*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17\/4 - 2)\/((-63)\/1428*-17). Solve -2*h + c = -q, 9*h - 5*q - 15 = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71730*d - 71394*d + 143127*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111220 - 2?\nAnswer: 111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81013559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -228590, -458097, -687604, -917111, -1146618, -1376125?\n\"Answer: -229507*v + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 0.0299627.\nAnswer: 0.4299627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 58, -4, -1062, -0.1, -3\/22 in descending order.\nAnswer: 58, -0.1, -3\/22, -3, -4, -1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1213 (base 7) to base 14\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477513 is divided by 29841?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (3 - -2 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38892*s - 1764 = -38808*s for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 3.1. Let n = -2808 + 2806. What is the second biggest value in -0.3, c, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 18 = q. Let a = -12 + q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24972 >= 25996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 157\/3*(4 + -19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -7*p**4\/12 - 5*p**3\/6 - p**2. Let s(m) = -m**2 + 4*m - 4. Let a be s(4). Does 17 divide r(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z**2 - 1)*(4*z**2 + 0*z**2 - 5*z**2) + 7*z**4 + 51650*z - 51650*z + 82.\nAnswer: 9*z**4 + 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -191*l + 820. Let h(n) = -41*n. Determine h(t(j)).\nAnswer: 7831*j - 33620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -21\/520, 29\/11, 2?\nAnswer: -21\/520","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h - 13 = 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 2*n**2 - 12*n**2 + 2 + (-3*n + n + n)*(-4*n + 0*n - n) + (n + 3*n - 2*n)*(-5*n + 0*n + 3*n)*(3 - 2 + 0) to s*n + o + p*n**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 995881949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 12*z - 5. Let t(d) = -3*d - 4. Let o be t(-5). What are the prime factors of n(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73\/4 + -147\/8. Is -6\/7 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 23*d + 5. Let g be b(-23). Let x(o) = -o**2 + 8*o - 10. Calculate x(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*p + 19 + 9, 4*p = 4*u - 28. Suppose y = 17 + u. Solve y = -6*s - 0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -837*j - 2377. Determine w(-3).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2383 a factor of 34412109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(2\/3)\/x)\/(x**(2\/5)*x*x*x)*((x*x**(1\/4))\/x)\/((x*x**(1\/7)*x)\/x)*x*(x*x**(-2)*x)\/x*x**0*x**(-1\/5)\/x*x\/((x*x**(-5)*x)\/x)*x assuming x is positive.\nAnswer: x**(913\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4058851 to 3 decimal places.\nAnswer: 0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l**3 - 4 + 4.\nAnswer: 47*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + 8*j - 1. Calculate h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + -1 + (-4 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k - 14. Let w(z) be the second derivative of 7*z + 0*z**2 + 0 + 1\/2*z**k. Let m(d) = -d**2. Give w(m(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*n + 9. Suppose -15 = n*q, -2*h + 2*q - 3*q - 1 = 0. Let z be ((-1)\/4)\/(h\/(-40)). Solve v - 1 = 4*l, z*l - 5 = -2*v - 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 3. Suppose 0*p - 5*p = s + o, 4*p + 18 = 5*s. Let n = -24 + 40. Calculate the greatest common divisor of s and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 810720\/(-309650)*5\/6?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*x - a, 5*x - 2*x - 23 = 4*a. Suppose -11 - 4 = 3*n. Put -4, x, n in descending order.\nAnswer: x, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 15\/14, 0.05, 1, 2\/17, 0.0755?\nAnswer: 0.0755","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/8445516 and 157\/135780?\nAnswer: 42227580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-8)\/(-45)*(165\/2772)\/(15\/9)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -7*b**3\/3 + 2433. Let h(m) = -102*m**2. Calculate p(h(z)).\nAnswer: -72828*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1645 by 5.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1999 + 5089. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 - 145*h**2 - 5*h**4 + 4190123*h**3 - 4189973*h**3 + 0 = 0.\nAnswer: 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - (-8 + 3 - -1)\/1. What is the common denominator of 51\/5 and 1 + (1 - n) + (-113)\/(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 16 = 32. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6587676 rounded to 1 dp?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2340423 = -6*r + 3*b, 4*r - 7*r = b - 1170214. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 226578\nAnswer: -453156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1326\/10 + (-6)\/(-15). Suppose 2*w - 4*w + 2*y + 42 = 0, -85 = -5*w - 5*y. Calculate the highest common factor of w and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*s - 37. Let k = -5 - s. Let q(z) = 14*z - 14*z - k*z**2. Let y(i) = 4*i**2. What is y(q(w))?\nAnswer: 100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -14224 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -42.858.\nAnswer: -128.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2120104 divided by -289\nAnswer: 7336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**2 + 19*h - 19*h)*(2*h**2 + 2*h**2 + h - 3*h**2).\nAnswer: -12*h**4 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**5 - 436*j**4\/3 + 2680*j**3 - 3440*j**2\/3 - 10752*j + 6912 = 0.\nAnswer: -2, 2\/3, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.30363 - -1.30274841. What is s rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -118*v + 117*v - 12 - 1. Let b be j(-9). Let k be -1 - (b + 4 - 4). Solve 24 - 9 = k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z - 10. Let r be m(-3). Suppose -1 = -4*l + 55. Let n = l - r. Solve 3*k = -3*j - n, -2 - 10 = 4*j for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*m - m**4 + 139*m**3 - 14*m + 1 + m**2 - 39*m as x*m**4 + u*m**3 + y*m**2 + n + r*m and give u.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = g + 7, 4*g + 182*z = 183*z - 15. Let y(t) = -5*t**2 - 6*t - 3. Let k(o) = -9*o**2 - 11*o - 5. Let j(a) = -4*k(a) + 7*y(a). Calculate j(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -249*q + 255*q - 3*f, 5*f = -5*q - 25 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 931, 1467, 2925, 5767, 10455, 17451?\nAnswer: 27217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 14*p**5\/15 - 52*p**4\/15 - 86*p**3\/15 - 4*p**2\/3 = 0.\nAnswer: -1, -2\/7, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5, 8, 11, 14?\n\"Answer: 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28, 162, 398, 742, 1200, 1778?\n\"Answer: z**3 + 45*z**2 - 8*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - -1*(2 - 0). Let m be ((-2)\/(-4))\/(-11 - -12). Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2\/5 - 84404*o\/5 - 759312\/5.\nAnswer: -4*(o + 9)*(o + 21092)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v**4\/13 + 5084*v**3\/13 + 107674*v**2\/13 - 36456*v\/13 = 0.\nAnswer: -21, 0, 1\/3, 868","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -20. Let l be (u\/4)\/((-45)\/(-450)). Let b(g) = g**2 + g + 2. Let t(y) = 2*y**2 + 2*y + 3. Calculate l*b(f) + 3*t(f).\nAnswer: f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.4 (c) -1\/11 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-449 + 878 - 494)*(0 + 1 - 4)*(-2*c - c + 5*c).\nAnswer: 390*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 18097 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.9 + 17. Let h = q - 2. Let s be (-275)\/77 - (-21 + 17). Sort s, h, -0.3 in ascending order.\nAnswer: -0.3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27450 = 25*y - 169275. What are the prime factors of y?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19593?\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 18?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from jjjjjjmmjjjmmm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4 - 22415*f**3*h**2 + 12*f**3*h - 35302*f**2*h - f**2 - 2*f*h**2 + h**2 wrt f?\nAnswer: 48*f - 134490*h**2 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -28. Suppose -2*q = f*p - 24, -6*p - 24 = -4*q - 2*p. Calculate the remainder when 21 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 6*y**2 + 2*y - 9. Calculate the remainder when 5 is divided by f(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/6711 and -89\/172.\nAnswer: 1154292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3055352 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**4\/8 + w**3 + w**2. Let l(z) = z + 1. Let d(i) = -i**3 - i**2 + 3*i + 2. Let v be d(2). What is v*l(k) + y(k)?\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**4 + 0*n**4 - 2*n**4)*((2 - 5 + 4)*(-2 + 3 + 0) + 9 + 2 - 10) as w*n**3 + a*n**2 + i + l*n**4 + s*n and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415828721?\nAnswer: 7, 11, 17, 28879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, 0.1, -2\/17, 0.3, -2\/3 in ascending order.\nAnswer: -2\/3, -2\/17, -0.09, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00851 + 0.09149. What is the second smallest value in 1, 2, -28, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/4 + 170399*x**4\/2 - 38714879991*x**3\/4 + 733040441346411*x**2\/2 - 1465955062740801*x + 1099444520702394 = 0.\nAnswer: 1, 3, 113598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/9 and 65\/3268?\nAnswer: 29412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -17, -83, -193, -347, -545, -787?\n\"Answer: -22*d**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21764 = 2547*n - 57193 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 16) in base 4?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -36c + 14?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01214 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*s*u**2 - 3*s*u + 489263*s + 2*u**2 - 8*u wrt u.\nAnswer: -24*s*u - 3*s + 4*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {l: 1, y: 1, h: 1, p: 2, g: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.24\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82839126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 20*w**2 - 4*w + 3. Let h = 22 - 20. Is 25 a factor of s(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s - s)*(37 + 5*s**2 - 37) - 263*s - 5*s**4 - 4*s**3 + 263*s.\nAnswer: -15*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/12 + 5*i**4\/2 + 180*i**2. Factor a(c).\nAnswer: 5*c*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -130. Suppose 0*b + 4*b = -5*w + t, -2*b + 58 = 3*w. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -2 - 76\/(-20) - 2. Let r = 0.4 - 0.2. Let g = r - 0.1. Which is the nearest to g? (a) u (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 (base 4) in base 8?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(((-24)\/(-36))\/((-16)\/12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-7))\/(5*(-6)\/105).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5161 - 8933. Let s = -26771146\/9 + 2970808. Let a = s - y. What is the common denominator of a and 45\/7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2. Let s(d) = 31*d - 2. Determine s(v(o)).\nAnswer: -31*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -55*v - 169 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175*l = -2311*l - 544 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Let k(z) = -z - 1. Suppose -2*o + 8 = -0, m - 2*o + 14 = 0. Let w be k(m). Let y be (-2)\/2*(w - 159). Calculate the greatest common factor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64.4 + -64. What is the third biggest value in x, 0, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -610.1 - -638. Let i = -28 + t. Is 2\/5 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l\/(l*l**(-2\/5))))**38)**6 assuming l is positive.\nAnswer: l**(1824\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (9\/(-4))\/(((-165)\/20)\/11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 j when two letters picked without replacement from jpgne?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 28, 1.5568, 0?\nAnswer: 1.5568","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/17 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -6\/7 (b) 0 (c) 1 (d) 72\/5 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -38.8 and -12.5.\nAnswer: -51.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/24)\/(340\/(-425)*225\/96).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and -15?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -98*i + 90. Let r be 7 - (-2 + 14) - 0\/(-1). Is 5 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7619 + 24529 = 114*n. Calculate the least common multiple of n and 9.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-8 - 2) - 19\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -2268.6.\nAnswer: 1134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -819*x - 813*x + 1633*x. Let r(z) be the first derivative of 407*z**2\/2 + 11. Determine r(t(b)).\nAnswer: 407*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(52)*2*5.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35491.31068 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 205?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.2 + -15. Let l be 147\/18 - (4 + 0). Let x = 269\/66 - l. What is the third smallest value in x, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -605216450*v. Let x(z) = -2*z. Calculate q(x(t)).\nAnswer: 1210432900*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*u - 1944 = 38*u. Which is smaller: u or 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1737\/10915 + 27\/185. Let j = g - -310\/531. Find v, given that -j + 2\/9*v - 2\/9*v**3 + 8\/9*v**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-78754)\/55 + 369\/205. Let q = -1429 - j. Suppose -q - 20\/11*p**3 + 42\/11*p**2 - 10\/11*p = 0. What is p?\nAnswer: -2\/5, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5072985mm in centimeters?\nAnswer: 0.05072985","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 547906147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 + 0 = r, 4*r = f + 20. Let z(l) be the third derivative of 0*l**3 + 3*l**2 + 0 + 0*l + 1\/60*l**5 - 7\/24*l**4. Give z(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.4877768 hours?\nAnswer: 29.266608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 419240 divided by -5\nAnswer: -83848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s**3 + 8*s**2 + 8*s - 8. Let i(a) = 3*a - 1. Let m be i(4). Let j(c) = -7 + 3*c - m - 4*c**3 + 3*c**2 + 15. Determine -8*j(u) + 3*t(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 536*w*y**3 - w*y**2 + 1233*w*y + 2*w - 1481*y**3 + 501*y**2 wrt y?\nAnswer: 3216*w - 8886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, 0.23, -5.91, -4 in decreasing order.\nAnswer: 0.23, -0.01, -4, -5.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -98 + 23. Let k = 33 - z. Solve -4*l + 2 = 5*y - k, 0 = 5*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 10*d + 4. Let j be r(16). Suppose 11*f = 15*f - j. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 - -14) - (-3407 + 3393)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8*u - 30 = -3*u, -u = 2. Let z(p) = p**3 + 8*p**2 + 16*p + 26. Let i be z(-6). Solve -5*s = 5*a, a + 8 = -i*s + h*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 37?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6143.\nAnswer: 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 629 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (-9 + (2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 878, 2, 39, -164 in increasing order.\nAnswer: -164, 2, 3, 39, 878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*m - 667 + 3464 = -899 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - k**3 + k**2\/2 + k.\nAnswer: -k*(k - 1)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2\/3, -13\/12.\nAnswer: -13\/12, -2\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (32\/80*2*2)\/((-3)\/45)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 3*v**2\/2 + 4. What is d(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1298*z - 604*z + 88023 = 15153 for z.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22\/15 - 19\/15. Suppose -o*q**2 + 0 - 3\/5*q = 0. Calculate q.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 114 - 284 = 0. Solve 5*k - 4*u + i = 8, -2*k - 20 = -4*u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 3, 26, -4.\nAnswer: -4, 3, 14, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*w**2 + 8*w**2 - 38*w**2 + 10*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 + 4 = -4*b, m - 5*b = 10. Suppose 0 = 3*f + 4*k - 5*k - 142, f - 4*k - 40 = m. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.0369772722 minus 0.4?\nAnswer: -84.4369772722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4773 divided by -3?\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766\/4835 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2)\/(-1) + 21. Suppose 5*j + 4*p = 2*j - 2, -5*j - p + u = 0. Let b = 3 + 2. Solve -2*y + j*y - 3*l + 18 = 0, 0 = b*y - l + 17 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32424 - -64737\/2. Which is the third smallest value? (a) s (b) -2\/13 (c) -0.4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 - 2. Let g = -7 + 11. Suppose 2*l - g*v = 8, 3*v = l + 2 - 7. Let f(q) = -2 - l*q**3 - 2*q**3 - 1. What is -2*f(y) + 3*u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 4:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6)\/(4\/(1404\/65))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 22086, 22100, 22114, 22128, 22142?\n\"Answer: 14*h + 22072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(15409821\/(-6))\/(-7). Let d = 273801 - a. Round d to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + r - 5. Let p be l(-5). List the prime factors of 1176\/60 - 4\/p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = -0*o. Let q be (-1)\/o - (-24)\/5. Suppose 0 = q*d - 5, -85 = -u - 3*u + 3*d. What is the highest common factor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = -n + 67032. Suppose a - s = -6*s + n, 3*a + 3*s = 22380. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(76) + ((sqrt(76) - -1*sqrt(76))*5 + sqrt(76) + sqrt(76) - sqrt(76)))\/(-1*sqrt(576)*-2)*1.\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p - 44. Calculate r(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*n + 3, -2*p + 1 + 1 = -3*n. Suppose -4*s - m + n*m = -57, -s + 12 = -2*m. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6929 - -2.5929. What is the closest to d in -11\/7, -5, 5?\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -205057, -205071, -205073, -205057, -205017, -204947, -204841?\n\"Answer: l**3 - 21*l - 205037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14\/497131, -1, -0.3, -1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -175, -549, -1115, -1873, -2823, -3965?\n\"Answer: -96*w**2 + 106*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 10*k. Let b(z) = -z - 2. Let u(h) = h + 3. Let c(q) = -3*b(q) - 2*u(q). Calculate c(s(i)).\nAnswer: 2*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:59 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 - -307. Let o(x) = -x**2 + 7*x - 2. Let n be o(7). Let t be 6 - 2*(n - -1). Are q and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147852229 plus 61264?\nAnswer: 2147913493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = a + 2, -4*p - 8 = 0. Let z = 455 - 452. Suppose -a*s + 4*k = 492, s = z*s + 2*k + 266. Round s to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 - 0.54\nAnswer: 15.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 850313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-2*-4 - sqrt(204)) + sqrt(204) + sqrt(204))\/(sqrt(48)*1).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76*k**3 - 232*k**2 - 225556*k + 11872.\nAnswer: 4*(k - 56)*(k + 53)*(19*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26430782?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 38327494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279882144 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 - 285*m + 67. Let l be h(-41). Let x(w) = -54*w + 2. Let u(v) = 378*v - 15. Give l*x(q) - 2*u(q).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-4 + 4 + 2*b) + b - 2*b + 2*b + 28*b + 69*b + 2*b.\nAnswer: 102*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -643 + 641. Which is the closest to 0.03? (a) -1\/3 (b) -8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -661776327.99999946 - -661776319. Let c = s - -9. Round c to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136847 (base 10) to base 12\nAnswer: -6723b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/1 + -1)*48\/9. Let u(s) = 31*s**2 + 34*s**2 - 5*s - 4 - l*s**2. What is the tens digit of u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -328, 71, -3, -5 in descending order.\nAnswer: 71, -3, -5, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-16)\/6 + (-211194)\/(-162) is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b - 25. Let u(z) = 2*z - 8. Give -2*q(m) + 7*u(m).\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -3\/304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -66. Let h = -13 - q. What is the nearest to -1\/2 in h, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.724 + 2.024. Sort -7, f, 52.\nAnswer: -7, f, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56487.7 - 56511.7527. Let r = o + 0.0527. Which is the smallest value? (a) 2\/9 (b) r (c) -0.4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2)*(9*q + 12*q + 16*q)*(4*q + 4*q - 2*q)*((-5*q + q + 2*q)*(-3*q + 0*q + q) + 2*q**2 + 3*q**2 - 6*q**2).\nAnswer: -1332*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-6))\/((-6)\/(-9)). Solve a + b = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3271898, 3271906, 3271914, 3271922?\n\"Answer: 8*k + 3271890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-95)\/20)\/((-838)\/(-10056))\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582 is divided by 137?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*k**2 - 1381*k**2 + 4332*k**2 - 4 - 1566*k**2 + 0.\nAnswer: 4*k**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-1 + -2))*7. Suppose h = 5*d - 3. Let y be 3\/d*(6 - 4). Solve -y*w = -j - 8*w - 7, 4 = 4*j + 4*w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -55*k**4 - 2*k*v - 2661*v wrt k.\nAnswer: -220*k**3 - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-13)*(-6)\/(-30))\/(2\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204 + 208. Which is the third smallest value? (a) -0.5 (b) 1\/5 (c) -8 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 365\/2*196\/(-35). Let k = u + 1608. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 1736. Let o(z) = 3*z**2 - 9*z + 3. Determine o(a(q)).\nAnswer: 3*q**2 + 10407*q + 9025467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 5:12 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 + -0.27. Let l = z + 0.0900015. Round l to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/2 - 30*s**2 - 1197*s\/2 - 3969.\nAnswer: -(s + 18)*(s + 21)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 6, h: 2, n: 1}. Give prob of picking 2 l.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 14421?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 7 = -3*c, -k + 13 = k + 3*c. Suppose 0*s - k = 2*s. Is 5 a factor of s + 0 + -2 - -17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -12?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3*(5 + (sqrt(392) + (-1 + sqrt(392))*6 - sqrt(392))))**2 + 1)*-2.\nAnswer: -254046 + 3024*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*n = -82, 0 = 4*l + 5*n - 10*n - 142. Let b be -108 + 124 - (-6)\/2. What is the greatest common factor of b and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -17. Suppose -c*k + 3*k = -k. Suppose y - 10 - 19 = k. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -2)\/((-6)\/(-20)). Let v = -265 + 192. Let g = v + 73. Solve 0 = 2*l - g*l - p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -204 - -208. Calculate the remainder when 14 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 12 = 39*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 9*g**2 + 31*g + 72. Give x(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 4. Let l be s(-4). Suppose -5*j = -l*j - 30. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -50301440*i - i**2 + 2*i**2 + 50302524*i = 0.\nAnswer: -1084, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - -2) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 32. Let w be (-6)\/9 - (p\/(-12) + -1). List the prime factors of 142 - (-2 - -2)\/(w + 5).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 6815 - 2497 = 0. Let w = s + -408. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 103\/55 + 704\/(-440). Find o such that -4\/11*o**2 - 1\/11*o**3 + 0 - x*o = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(4\/15)\/r)**10*r**(-2\/65)*r**(1\/52)*r assuming r is positive.\nAnswer: r**(2851\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2. Let t(q) = 80*q**2 + 2. What is p(t(i))?\nAnswer: -32000*i**4 - 1600*i**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9205 and 665?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2. Let q(p) = 1217 - 1217 - p**2. Determine a(q(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.4 + 16. Let i = -1.5999951 + k. Round i to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*a + 4*a - 48 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/85 + (-2)\/(-10). Is o bigger than -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -34. Let x(s) = s**3 + s**2 - s - 5. Give x(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/(-221) - 10672\/(-1564).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 105. What is the smallest common multiple of 6 and (-1)\/3 - 84\/g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11829 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*u - 254 = 247, -5*y + 4*u = 509. Let v be (-164)\/(2 + 24\/(-8)). Let m = v + y. List the prime factors of m.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 - 38*r + 225. Is c(39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0e2c78 + -3?\nAnswer: -c0e2c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5*z)\/z*z**(1\/2)*z*(z\/z**(-9))\/z**(-3) assuming z is positive.\nAnswer: z**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -683.05 + 677. Let j = i - -6.55. What is the third smallest value in 0.07, -3, j, -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from wwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - o - 3, -o = -l - 4*o + 1. Let k(d) be the first derivative of -16*d**3\/3 + d**2\/2 - d - 90381. Determine k(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1552800988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzy. Give prob of sequence yzy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -374874 and -374873 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 15 - 3. Suppose -4*v + 468 = -u*f, 3*v + 2*f - 234 = v. Let x(n) = 321*n**2 + 1924*n + 5. Calculate the remainder when v is divided by x(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 12, j: 6}. Give prob of sequence jkjj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -24, -2, -3, -580284 in descending order.\nAnswer: 5, -2, -3, -24, -580284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294422987 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63893 (base 15) to base 6.\nAnswer: 10434033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15921131 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uduhrudduhhu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g - 3 + 4 + 87*g.\nAnswer: 55*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29609 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.8 + 2.33. What is g rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*r. Suppose c + 29 = 5*t, 2*c + r = 4*t - 26. Calculate the remainder when 8 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -98853 (b) -10 (c) 0.21 (d) -1\/3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m + 4. Let l be c(-3). Suppose 0 = 2*b - l, -b = -5*k + 4*b - 35. What are the prime factors of 1\/k*2 - -13?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5975 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93030386 a multiple of 2347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254 and 193294.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -619, -663, -805, -1093, -1575, -2299, -3313?\n\"Answer: -8*k**3 - k**2 + 15*k - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/3 or -10\/701?\nAnswer: -10\/701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6888, -6971, -7044, -7101, -7136?\n\"Answer: q**3 - q**2 - 87*q - 6801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 632119259 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-553)\/77 + 6 + 1\/1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -45. Is j*(3 - 2) - (23 - 243) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 p when three letters picked without replacement from pooppoooppmmokkpkmk.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/65*-2*90\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1607358448?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 535 and 204253370?\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14078359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllllelleeellllle. Give prob of picking 2 l and 2 e.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (162\/(46008\/355))\/((-545)\/8)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 86 = 8*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:47 PM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -504a6 + -31?\nAnswer: -50507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*y + 5*y - 14, -2*y - k = -8. Suppose -y*v + 287 + 289 = 0. What is the lowest common multiple of 18 and v?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2 - 1\/2. Let s(w) = w**3 + w**2. Let y be s(1). Let i = -107 - -111. Sort k, y, i in decreasing order.\nAnswer: i, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h + 8 = 7*h - 2*z, 0 = 4*h + 2*z + 8. Solve 2*c + h*c = 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123291107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 734712 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21278433.999966 + -21278411. Let r = 23 - o. What is r rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 685 = -0*p + 49306*i - 49327*i, 5*p + 4*i = 142 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46644?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36004 - 7239 = -67*l + 2652. Calculate the greatest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/(432\/(-1800))*9\/15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqxq when four letters picked without replacement from {q: 3, x: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 0.01, 3, -29, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -71973 divided by -3?\nAnswer: 23991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 11. Calculate b(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u + 16*u + 2*b = -4, 0 = 4*b + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/4 - 1003*f**2\/4 + 67480*f - 2265159 = 0.\nAnswer: 39, 482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130958384 to the nearest integer?\nAnswer: 11444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by -26?\nAnswer: 157\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 78*t**3 + 4*t**2 - 5*t + 2. Let c be n(1). Let p = -67 + c. What is the remainder when 22 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 1\/36*z**4 + 1\/6*z**2 + 1\/9*z**3 + 0 + 2*z. Factor o(w).\nAnswer: (w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v + 6 - 5 - 10*v)*(1 + 10*v - 4 - 9*v) in the form n*v + h + x*v**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -164 in 0, -1\/2, 8, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -709, -1603, -2855, -4465, -6433, -8759?\nAnswer: -11443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5530, 5146, 4868, 4750, 4846, 5210?\n\"Answer: 9*n**3 - n**2 - 444*n + 5966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33412920?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 29\/2*u**2 - 9\/2*u**3 - 4 = 0. What is u?\nAnswer: -1, 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(162)*2)**2 + (sqrt(162)*-2)**2*5 + (-4*(sqrt(98) - (sqrt(98) + 1)) + 3 + -4)**2.\nAnswer: 19449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*b - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + 30\/(-25)*-5. Let g(i) = 5*i**3 - i**2 + i. Let v be g(1). Sort v, -1, k in descending order.\nAnswer: v, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 48355.18 tonnes?\nAnswer: 48355180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 1 (c) -2\/11 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -294 + 38?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 + 12*n**2 + 10*n. Let v = 11 + -21. Let g be (-38)\/v + 6 - 1\/(-5). Let u be c(g). What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/9 - (-848)\/6. Suppose -q + w = 4*q. What is the least common multiple of 20 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97126639\/91860 - 1\/91860. Which is bigger: x or -1057?\nAnswer: -1057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 5*t + 162 + 10*t - 155.\nAnswer: 2*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 31*g**2 + 230*g - 458. Let j(m) = -78*m**2 - 459*m + 915. Let n(v) = 15*i(v) + 6*j(v). Factor n(y).\nAnswer: -3*(y - 230)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 8.1. Let d = -0.31 - -7.81. Let a = d + h. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13257 - -39770\/3. Let m = 3.92 - -0.08. What is the nearest to g in m, 2\/13, 37?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 12641956069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 8, -87756, -4.\nAnswer: -87756, -36, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 394345961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18159 + 18193. Solve 30*v + 16 = u*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y + 3*y + 3*y)*(147*y - 12 + 145*y + 30*y + 12) + (2*y + y - 4*y)*(-4 + 4 - y) + 5*y**2 + 7*y**2 + 7*y**2.\nAnswer: 342*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80\/32 + (-498595)\/(-10).\nAnswer: 2, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11\/5 - -107\/35. Let 0 - x*b + 4\/7*b**2 + 2\/7*b**3 = 0. What is b?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 18*v**2 - v + 336. Let i be t(-19). Let g(o) = o - 4. Determine g(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/(20\/(-40)). Let d be ((-1225)\/5)\/5 + 3\/b. Which is bigger: d or -47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 205 + -155. What is the greatest common divisor of u and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -44. Let g = 7 - k. Let u = -0.008 - 4.992. What is the biggest value in g, u, -22?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3*v - 172 = -4*v, 86 = -2*u + 4*v. Let q = u + 106. Find the third derivative of -14*y**2 + 45*y**6 - q*y**6 + 35*y**2 wrt y.\nAnswer: -2160*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 25*d**2 + 13*d - 7*d + 24*d**2. Let p(c) = 6*c - 27. Let h(r) = -3*r + 14. Let g(t) = -5*h(t) - 2*p(t). Calculate m(g(y)).\nAnswer: -9*y**2 + 96*y - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181*m**2*u**2 - m**2*u - 14*m**2 + 41*u**2 - u - 1449 wrt u.\nAnswer: 362*m**2*u - m**2 + 82*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 1:14 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1, 2.8, 190338?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10086\/21 - (-9 - 585\/(-63)) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/17? (a) 0.2 (b) -9 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -10*z**3 - 12*z**2 - 18*z - 7. Let n(b) = 5*b**3 + 6*b**2 + 8*b + 3. Determine -9*n(f) - 4*y(f).\nAnswer: -5*f**3 - 6*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 2*z**2 - 2. Let d be 1\/3 + 16\/(-3). Suppose -12 = -3*x - 3. Let g(s) = 3*s**x - 5*s**2 - 8 + 1 - s + 2 + 0*s**3. Determine d*t(r) + 2*g(r).\nAnswer: r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (35\/5 + -14)*(-1396)\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -4*n + 20. Let o(s) = 4*s - 21. Let j(z) = 3*f(z) + 4*o(z). Let l be j(-6). Let i = l - -113. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = v - r - 110, -4*v = -3*r + 88. Let j be 0 + (-4)\/(-22) + (-84)\/v. Solve 4*a**4 - 5*a**4 - j*a**4 + 5*a**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3\/3 - 7*f**2\/3 - 58*f\/3 + 8 = 0. What is f?\nAnswer: -3, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 207. Let p = 151 - w. Let -2\/3*o**3 + 2\/3*o - 2\/3*o**p + 2\/3 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1020, 904, 712, 444?\n\"Answer: -38*u**2 - 2*u + 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -15*p - 3. Let v be f(-4). Let r be -5 - (2 - 0)*-5. Suppose 0*y + 4*y - 5*x = v, 78 = r*y - 4*x. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22)\/(-297) - 11\/(891\/(-73866)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 379334709.9999708 + -379334901. Let o = -191 - k. Round o to six dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 43 + 8. Let b be -5 - u - (7 + -2). Is 13 a factor of (-2)\/3 - 41\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 1, j: 1, d: 2, u: 1, p: 2}. Give prob of picking 1 u, 1 p, 1 j, and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 168782 * -86.\nAnswer: -14515252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8205589 and 294.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/6 + 2*j**5\/5 + j**4\/4 + 3. Determine m so that w(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 73*f**2 + 7*f + 38. Let d(i) = -74*i**2 - 7*i - 51. Determine 4*a(b) + 3*d(b).\nAnswer: 70*b**2 + 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1500)*3*3)\/((sqrt(240)\/(sqrt(4)*1))\/(sqrt(20)\/(sqrt(4) - sqrt(16)))))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*r - 2*r**2 + 7*r - 2*r - 12747*r**3 + 12738*r**3 to the form m + j*r**2 + z*r + s*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4657933 <= -4657931?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/3)\/g**5)\/((g*g**(-4)*g*g)\/g**(5\/4))*(g**(-2\/7))**(2\/31)*(g*g**(4\/5))\/((g\/(g\/(g**1*g*g)*g))\/g) assuming g is positive.\nAnswer: g**(-8269\/13020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((-15)\/(60\/(-8))). Which is greater: 6\/65 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s - 13*s - 8*s + 4*s + 22*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 25. Let s = -99 - -142. Let n = s + r. What is the second biggest value in n, -2\/3, 3\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i + 2. Let u be x(2). Suppose 0 = -u*a - 5*a + 15. Solve 0 = a*m - 5 - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5876 and 923?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19243 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -932831\/738 + 1264. Is 0 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11607 (base 11) in base 9?\nAnswer: -24821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11052*b - 11042*b + 70 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10102102101 (base 3) to base 2\nAnswer: -10000011100101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -4\/5 (b) 0 (c) -239 (d) 5 (e) -25 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 - 598*y**2 - 88800*y + 180000.\nAnswer: -(y - 2)*(y + 300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(-k - k + 4*k) - 5 - 5*k + 5 to the form l + m*k and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/39*(-29)\/(5800\/260)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 5*h)*(-2*h + h - h) - 1103*h**2 - 6868*h**2 + 1069*h**2 - 1182*h**2.\nAnswer: -8080*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + sqrt(44)\/sqrt(4))*1.\nAnswer: -6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - m. Let o(c) = 12*c**3 - 4*c**2 + 4*c - 3. Calculate o(k) + 4*v(k).\nAnswer: 4*k**3 - 4*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 124. Let k = -6 - t. Suppose -6*o + 2*o + 40 = 0. Calculate the highest common factor of k and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**4\/12 - v**2\/2 - 1. Let b(n) be the second derivative of s(n). Let i(m) = m - 4. Let h be i(5). Calculate b(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*b + 30, -9*m = -14*m + b + 27. Sort 5, m, -2.\nAnswer: -2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3690\nAnswer: 1\/738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*y**2 + 17818*y - 220668.\nAnswer: 2*(y + 2982)*(3*y - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 6:43 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16553 and -0.5.\nAnswer: -8276.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-18) + -1)*9\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -295b7b (base 12) in base 2?\nAnswer: -10101001100101001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (13645\/10)\/((-1)\/(-2)*1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {d: 1, a: 1, h: 4, s: 3, f: 6, q: 3}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -0.3, 197, -112?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.06 + -7. Let s = 55 + -51. What is the third smallest value in -0.4, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180020 - 555964 = -4*h. Suppose 0 = 3*u - a + 276004, 2*u + a + h = -0*u. What is u rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9 - (-5 - -2))\/(2\/(-9)). Solve n*j + 21 = 6*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, v: 2}. What is prob of picking 1 g and 1 v?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:02 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + (0 + sqrt(1088))**2).\nAnswer: -5415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.36 - -0.4. Let n = -2.04 + m. Let f = 10 + -15. Which is the closest to -2\/9? (a) f (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 i when three letters picked without replacement from {x: 2, i: 1, n: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 9 - 57 = 0. Solve -4*b + m = -0*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:35 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/60 and -127\/103620.\nAnswer: 103620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmnllwmllw. Give prob of sequence mw.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.086 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 238476 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppamppmppppmpamppmp. What is prob of picking 2 a?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/3 + 4960*k**3\/21 + 472*k**2\/7 = 0.\nAnswer: -354, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2024443 + -2442?\nAnswer: -2032440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 4\/480 - -3) + -3. Let l(r) be the third derivative of 0*r**4 + 1\/60*r**5 + 0*r + 1\/2*r**3 - u*r**6 + 0 + 4*r**2. Calculate l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 8*j + 4. Let q be y(5). Let r = -8 - q. Suppose r*l - 2*h - 12 = 11, 3*l - 5*h = 8. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.3 (b) -24\/7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2974\/77, 2\/17, -4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 2*q - 4*l - 58, -9 = 3*q - 3*l for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**4 - y**3 + y**2 - y + 1. Let i(s) = 14*s**4 + 5*s**3 - 5*s**2 + 5*s - 26. Let x(f) = -i(f) - 5*l(f). What is the first derivative of x(k) wrt k?\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -7*i. Let v = i + 2. Let c be (4\/(-10))\/(v\/(-20)). Solve 0 = d + c + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.22, 0.092, -3, 3\/28, -5, -1 in descending order.\nAnswer: 3\/28, 0.092, -0.22, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/57 and -52\/21.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86, 94, 106, 128, 166, 226, 314, 436?\n\"Answer: p**3 - 4*p**2 + 13*p + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 527950645 and -863?\nAnswer: 527951508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1257, -1610, -1949, -2268, -2561, -2822, -3045?\n\"Answer: i**3 + i**2 - 363*i - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + 7. Let b = -2.45 + 1.27. Let o = 0.18 + b. What is the closest to 1\/3 in -2\/5, o, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 (base 14) in base 2?\nAnswer: 101011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 249 - 246. Suppose -p - a = 0, -h*p - 2*a + 3*a = -12. Solve 4*m - 13 = p*q, -5*q - m + 5*m = 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 54*q - 58*q. Suppose -2*l + 16 = 2*l - q*o, 29 = 5*l + 4*o. Let g = 3 - 2. Which is the closest to 0.2? (a) g (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -148 - 6?\nAnswer: -14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4519001?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*m + 24, 2*u - 40 = -m - 3*m. Let l(j) = 6*j - 13. Let r be l(-6). What is the smallest common multiple of u and (-1085)\/r - 2\/14?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2194 minus -567411607?\nAnswer: 567409413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00517781296 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8797663717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7\/22 (b) -2\/23 (c) -0.01 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 3*z + 11 + 6 + 2 + 0.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 - (2 + (-111)\/(-6)) and 25\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**6 - u**4 + u**2 - 1. Let t(r) = 5*r**6 + 3*r**4 + 2*r**2 + 3. Let l(s) = -12*m(s) - 4*t(s). What is the third derivative of l(v) wrt v?\nAnswer: -3840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2853 - 197 = 332*q for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpfb when four letters picked without replacement from afppbpbmpmmp.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/45)\/(-2*2\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 30, 211, 636, 1407?\nAnswer: 2626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i, -4*i + 18 + 7 = -o. What is the second smallest value in -0.1, o, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/35 - 1998\/(-14). Let d = w - 105. Calculate the highest common divisor of d and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - 1 + 8 - 8)*(109*n**3 - 36*n**3 + 52*n**3).\nAnswer: 500*n**5 - 125*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 87, 169, 249, 327, 403?\n\"Answer: -b**2 + 85*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19548 and 318198.\nAnswer: 1086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j*z**5 + 9*j*z**3 - j*z**2 + j*z - 2*z**4 wrt z?\nAnswer: -300*j*z**2 + 54*j - 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:08 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 191 = -4*n, 0 = n + 3*n - 4*h - 192. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**3\/6 - 2*y**2 - 7*y - 3. Let h(i) be the first derivative of o(i). Calculate h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbb when three letters picked without replacement from jrbjobrjjob?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1018*n**2 + 8142*n - 31. Determine x(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -762, -1116?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*k**2 - 255*k wrt k?\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 26*g**2 + 111*g + 126.\nAnswer: (g + 2)*(g + 3)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 9*n**2 + 5*n + 5. Let y = 19 + -13. Let p be t(y). Let h = 16850 - 16839. What is the highest common factor of h and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 613, 944, 1275?\nAnswer: 1606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 8\/(-2)) + 78\/42.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-112*j - 21*j + 220*j)*(10*j - 23*j - 9*j) + (5*j - j - 2*j)*(-2*j + 6*j - 3*j) - j**2 + 0*j**2 + 2*j**2.\nAnswer: -1911*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 5812 and 4019 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 263666110 to the power of 1\/4, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 3:48 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25, 364, 855, 1498, 2293?\n\"Answer: 76*s**2 + 111*s - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/8)\/(64\/(-192)). Sort 0.28, 3\/8, -0.2, n in decreasing order.\nAnswer: 3\/8, 0.28, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 18 = m, -106*a + 17*m = -107*a + 134. Let b(z) = 11*z**3 + 3*z**2 + 2*z. Let w(n) = -12*n**3 - 4*n**2 - 3*n. Calculate a*w(k) - 3*b(k).\nAnswer: -9*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125132 take away -29?\nAnswer: 4125161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3549765701?\nAnswer: 31, 114508571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 10*r + 34, 0 = -r - 14*n + 10*n + 4. Which is the smallest value? (a) -0.3 (b) 0 (c) r (d) -732\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a second in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278967329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7491 is divided by 823?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1412*d + 79041. What is m(-56)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13139, -3\/4, -1 in ascending order.\nAnswer: -1, -3\/4, 13139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 5*f**2 + f - 3. Let i be v(5). Let y(c) = 9*c**i - 13 + 13. Let q(k) be the first derivative of -k**3\/3 + 2. Calculate q(y(r)).\nAnswer: -81*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(2))\/sqrt(6)*4.\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*f**3 - 951594*f**2 + 543804*f - 77688.\nAnswer: -3*(f + 6474)*(7*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 1 - 12 - 76*y**2 + 3 + 144*y**2 - 69*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.803514 litres to millilitres.\nAnswer: 6803.514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -592 by 4.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -13*w. Suppose -20*y + 5 = -35. Let b(c) = 11*c**2 + 187371 - 187371 + 21*c**y. Calculate g(b(j)).\nAnswer: -416*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1071.00499 - -1071. Round i to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 7*t + 6. Let j be s(2). Let w(g) be the third derivative of -3*g**2 - 1\/84*g**4 + j + 2\/105*g**5 - 1\/105*g**6 + 0*g + 0*g**3. Factor w(o).\nAnswer: -2*o*(2*o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 223 - -7?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - f**2 + f + 5. Let h be i(0). Suppose 0 = -h*k + 4*k + 2. Suppose 0 = 4*o + 5*t - 32 + 5, 0 = -2*o + k*t. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 0 + 2)\/1. Suppose 0*k - k + 3*y + 12 = 0, -2*k + 20 = -5*y. Solve -g*z + 2 = a - 8, 3*z + 2*a - 13 = k for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2\/7*t**5 - 16*t**4 + 4\/7*t**2 - 216\/7*t**3 + 108\/7 + 218\/7*t = 0.\nAnswer: -54, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(108) + sqrt(15)\/sqrt(5) + 0)**2.\nAnswer: 49\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -i - 5*n + 3*n, 2*n - 1483 = -3*i - 1368 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (-3 + -2*(sqrt(220)*3)\/(sqrt(11) - (sqrt(11) + (sqrt(132) + sqrt(132)*-1 - sqrt(132))\/sqrt(12))))**2).\nAnswer: -2936 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 - -514?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, -26, 3, 0, -5 in increasing order.\nAnswer: -29, -26, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9457 is divided by 123?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 10*i**2 - 6*i - 2. Let m be x(-5). Let z = 36 - m. Let r = z + 45. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 17\/4 of a second?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157 and 7379?\nAnswer: 7379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 233, 233, 231, 227, 221?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/136 and (-54)\/(-1584)*8 - 534\/143.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 6162 = -5*o. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*((sqrt(700) + 0)**2*6 - sqrt(700)).\nAnswer: -30*sqrt(7) + 12602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 5 + 8)*(r - 5*r - 4*r) to x + k*r and give k.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 12 = -2*k. Let g = -105 - -105. Suppose 142 = 4*n + b, -n - 6*b + 2*b + 28 = g. Calculate the greatest common factor of n and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2162\/188*(-8)\/7*(-1239)\/236.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 - 17*r**2 - 2*r**3 - r**3.\nAnswer: -2*r**3 - 17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -73978*z**2 + 72767 wrt z.\nAnswer: -147956*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3274 by -3274.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 12:39 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 555d + 3?\nAnswer: 5562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*4 + -8. Let m(u) = -u**3 - 6*u**2 + 8. Let c be m(w). Solve 3*v + c = -7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8970*q + 35870. What is b(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*r - 11585 - 6665. What are the prime factors of r?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v. Let n(b) be the second derivative of b**7\/2520 + 13*b**6\/720 + 17*b**4\/4 + 19*b + 1. Let h(d) be the third derivative of n(d). Calculate m(h(y)).\nAnswer: y**2 + 13*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -152. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 3:58 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 + 8*h**2 - 12*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 - 8*n**2 - 8*n - 8. Let y(r) = r**3 + r**2 + r + 1. Let k be (-6)\/16 + (-1445)\/136 + 8. Determine k*g(d) - 24*y(d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 61*x**2 + 311*x - 4725. Determine f(57).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 7. Let t be q(-6). Let g be -2 - (-7 - -2 - t). Solve h = -0*h + g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1276 and 45270276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -8.9 (b) -4\/3 (c) 18 (d) 0.2 (e) -3\/5 (f) -26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.097 and -0.003226?\nAnswer: 0.000312922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8972.14 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68763271727.19 - 4.\nAnswer: -68763271731.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 49907.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*a - 2*a - 8 - 14*a**2 + 8*a + 3*a in the form p*a + x*a**2 + n and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvp when three letters picked without replacement from evedeedueevdupppd.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - n. Suppose -48*c + 45*c = -9. Suppose -c*p = -15, -p = h - 6*p + 7. Let a = h - 16. Let j(r) = 3*r**2 + 4*r + 1. Determine a*f(z) + j(z).\nAnswer: z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/3)*b))**(1\/2)*(b**(-5\/4)\/b)\/(b*(b*b*b**(3\/2))\/b*b*b))**29 assuming b is positive.\nAnswer: b**(-2755\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1\/7, -7\/38, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9669627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 6. Let g be i(5). Let n = 1.7 - 1.87. Let c = -2.17 - n. What is the nearest to -1\/4 in c, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 1, -2\/5, 0.5, 4, -4086?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, v: 3, d: 5}. What is prob of sequence ddvv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46\/9 (b) -7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-5))\/((-4)\/(-10)). Suppose 8*j - 151 = -55. Let w be ((-100)\/18)\/(-2) - j\/(-54). Solve x - 16 = -w*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/80)\/(2\/(-5)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-7 + 5 - 0) + -1) - -2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**3 + q**2 + q. Let s be b(-1). Suppose -v - 2*z = -19, -3*v + 3*z - 24 = -s*v. Solve -3*d + 8 - 29 = 3*c, 2*c + v = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 2826743.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -1\/4 (c) 2686\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*1\/2*5. Let o be (1 - (-2)\/((-6)\/j)) + -2. Suppose o*m + 0*m - 3*v = 0, -2*v = -2*m. Solve 0 = -4*d - m*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 17 = 4*y, 12 - 7 = -y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*t**3 + 147*b*t**2 + 7*b*t + 98*t wrt t?\nAnswer: -12*b*t + 294*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*m**2 + 18*m**2 + 6*m**2 + 6*m**2.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20.4 - 6.6. Let u = i + 34. Let n = 0.11 - 4.11. Which is the smallest value? (a) n (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 12, 4*j + 562*b - 560*b - 6 = 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4) + ((-901)\/(-68) - (2 - -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41585605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/2520531 and -18\/50267.\nAnswer: 17643717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 21 - 19 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/((-45045)\/(-110)))\/((-44)\/1834) - -11?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y. Let w(f) = -6*f**2 - 10*f. Let z(b) = -5*r(b) + w(b). What is the second derivative of z(j) wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 27. Let r be p(-13). Let b be (4 + -4 + r)\/(1\/5). Solve g = 6*g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 589*z**3 + 9*z**2 + 10. Let s(p) = 587*p**3 + 11*p**2 + 12. Determine 5*s(n) - 6*y(n).\nAnswer: -599*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22724469.\nAnswer: 3, 280549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.765 - 10.53. Let x = 145005898 - 145005898.234999107. Let u = b + x. Round u to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 208.651484 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/30 and -83\/3330.\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/18*32\/40?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397, -1607, -3631, -6475, -10145?\nAnswer: -14647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s**2 + 25*s**2 - 36*s**2.\nAnswer: -41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13061\/6 - 2177. Let s = 4.7 + 0.3. What is the third smallest value in -0.2, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(175) - -3*(1*sqrt(175) + sqrt(175))) + 3)*3.\nAnswer: 14 + 105*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26433*s**5 - 92*s**2 - s + 2.\nAnswer: -1585980*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 - (1 + -1 - 0 - -7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19779\/46 + 430. Suppose -3*p + 2*j - 7 = 11, 2*p = -j - 19. Let y = p - -8. Is r at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 5:07 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiihhiiihhiihhiii. What is prob of picking 2 i?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -15. Let x = s + -24. Let d(o) = -5*o**2 + 3*o + 4. Let t be d(x). Sort -1, 4, -3, t in descending order.\nAnswer: 4, -1, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 12:34 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -9) - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49774 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 + 4 + 2)*(-2*c + 0*c + 0*c) + 1 + 2 + 5*c - 2)*(5 + 0 - 2).\nAnswer: 27*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-95)\/(-40))*(-33)\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (-16)\/6)*-3. Let y(z) = -35*z + 17*z + 19*z + 4. Calculate the least common multiple of 21 and y(r).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - 100?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.19 (b) 0.1 (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*k + 4991319 - 4991319.\nAnswer: -647*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from hvvvhhvhhhhvv.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47141, 94296, 141437, 188558, 235653, 282716, 329741?\n\"Answer: -v**3 - v**2 + 47165*v - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.26 or -56?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/48 and -49\/856.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -6*d + 14735. Suppose 7*b + d = 411. What is the common denominator of 119\/18 and (-21)\/(-70)*b\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0343 plus -5?\nAnswer: -5.0343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/98040 and 179\/1710.\nAnswer: 294120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/(-140) + (-12)\/28 - (35 + -36 - -2).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -408\/13 equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 17*j**2 + 22*j + 7. Let a(n) = 8*n**2 + 11*n + 4. What is -7*a(s) + 4*z(s)?\nAnswer: 12*s**2 + 11*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 9*o - 28)*(6*o**3 - 3*o**3 - 2*o**3 - 2)*(-78*o + 38*o + 41*o).\nAnswer: 9*o**5 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*r**2 + 4288*r**2 - 4179*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -66, -190, -438, -852, -1474, -2346, -3510?\nAnswer: -5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16471 - -3837749\/233. Is b less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52012, -52010, -52008?\n\"Answer: 2*w - 52014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13)\/g**(2\/21))\/(g**1)**15*((g*g\/(g*g\/g**(-2\/5)))\/(g*g\/(g*g\/(g**(-4\/7)*g)*g)))\/(g**1\/(g**(-8)*g)) assuming g is positive.\nAnswer: g**(-31501\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14557 (base 11) in base 3?\nAnswer: -1001022011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10*s. Suppose 0 = -d - 3 - 4. Let g be a(d). Let r = 12 + -2. What is the highest common factor of r and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.5 in 2, 29, -17\/7, 1.2, -0.4?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 139102, 277857, 416612, 555367?\n\"Answer: 138755*n + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 5, b: 1, n: 3, e: 1, z: 1}. What is prob of picking 3 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2 - 268*u + 546*u - 281*u - 22. Give i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3464 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*u**2 + 367 - 367 + 0*u**2 - 51*u**2 - 8*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - ((-1)\/(-10))\/(12\/136)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 17. Let i be w(-6). Let k(p) = 2*p + i*p**2 - p**3 - 6*p - 27*p**2 - 5. Is 18 a factor of k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-20)*(-10)\/1*84\/(-30)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*n + 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -a2661?\nAnswer: a2661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 72 = -68. What is the closest to s in 0.2, -0.5, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/5))\/(t\/t**(-4)*t)*t\/(t*t*t**(-1\/2))*t**1 assuming t is positive.\nAnswer: t**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 26*b**2 - 28*b - 18. Let k(y) = -9*y**2 + 10*y + 6. Let o(z) = 17*k(z) + 6*q(z). What is the remainder when 48 is divided by o(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-6*(sqrt(121)*-3 - sqrt(121))*-1)\/(sqrt(99)\/(((sqrt(9)*-1*-2 - sqrt(9)) + sqrt(9) - sqrt(9)) + sqrt(9) + sqrt(9))).\nAnswer: -432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, k: 7, p: 1, n: 3, m: 2}. Give prob of sequence pnm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + sqrt(2) + -2 + 3)**2*3 - ((-1*sqrt(2) + -5)**2 - (sqrt(12)\/sqrt(6))**2*-1)).\nAnswer: -120 - 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**4\/4 + 2*h + 1. Let z(w) be the first derivative of x(w). Let k(i) = i - 3*i + i. Calculate k(z(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q - 1799 = 280 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 - g**3\/6 - g**2 + g - 3. Let s(f) = -f + 41. Let h be s(45). Calculate p(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 197*d**3 + 2*d**2 + 374 wrt d?\nAnswer: 591*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -719 (base 10) to base 4.\nAnswer: -23033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -5*m - 2*x - 38, 3*m + 3*x + 18 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -47, -5 in decreasing order.\nAnswer: 5, 3, -5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*g = -51, -43 - 2 = -3*j + 4*g. Solve -f - j = -4*h, -f - 4*h + 10 = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -364?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 17*n**2 + 5*n + 77. Calculate the remainder when c(-16) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 1. Let m(b) = 32*b**2 - 44. Suppose -154*k - 168 = -70*k. What is k*m(n) + 88*z(n)?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*v = 2*v + 1, 5*p - 12 = 2*v. Suppose 2*x = p*j + 30 - 0, 2*j = -2*x + 50. Let b = 33 - x. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*v = -1928 + 6868. Calculate the remainder when 544 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33590638.\nAnswer: 2, 16795319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -3*n, 5*n = -2*a + 6*a + 2. Suppose -3*f + n*z + 22 = 0, -1 = f + 3*z + 10. What is the least common multiple of 18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.77766685 rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5.78 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let j(f) = 56234*f**2. Give l(j(p)).\nAnswer: 56234*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((11 + 1 - 5)*(23*f - 8*f + 6*f) + 0*f - 6*f + 4*f)*(2*f + 2*f - 3*f) in the form z*f**2 + r*f + a and give z.\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 265, 1066, 2401, 4270, 6673?\n\"Answer: 267*g**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-20)\/236) - 0. Let s = -39 + v. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -61. Calculate the greatest common divisor of y and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 54*a**2 + 135*a - 905. Give q(-51).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7421? (a) 2\/5 (b) 3\/2 (c) 2\/3 (d) -1\/4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 2576.698 to zero dps.\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 697\/82*60\/1105?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jjjhjrrrhrhjjrrrrrrh.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -27. Let w(v) = -37*v + 15. Let b(h) = -15*h + 8. Let p(g) = 5*b(g) - 2*w(g). Let d be p(j). Let u(m) = 5*m**2 + 3*m + 3. What is u(d)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 34 = -2. Suppose 0 = 2*b + m - 3*m + 14, -q = 4*b - 2*m. Let n be 32*155\/b*125. Round n to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2\/21 (b) -11 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 387*z + 27382. Determine m(-448).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 27*c - 23*c - 9*c - 1 in the form t*c**2 + l + p*c and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 140322 by -1.\nAnswer: -140322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 2, p: 3, u: 3, f: 1, g: 3, j: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 498, -4, -206.\nAnswer: -206, -4, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108 by -27.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 5:08 AM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 12312124 (base 6) to base 7\nAnswer: 3246250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14571\/(-36) + 4\/(-16). Let f = -402 - j. Solve 0 = f*b + 5*y + 14, -y + 8 = -2*b - 3*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -30053, -60108, -90163, -120218?\n\"Answer: -30055*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72330*-2903.\nAnswer: -209973990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:29 AM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 2*j - 9\/2*j**2 + 0 + 1\/3*j**3. What is the units digit of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 1 - 3 + 4)*(-2 - 4 + 4).\nAnswer: -8*g - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47862 > 47839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1212?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 52 + 73 + -19?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*r + 308*r**2 - 44*r**2 + 1976 - 260*r**2 = 0 for r.\nAnswer: 2, 247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 5*i + b + 8, 2*i - 3*b = -2. Let d be ((-10)\/4 - i)*6. Let u = d - -40. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2450) + sqrt(2450) + -1*sqrt(2450)*-4)\/((sqrt(80) + (sqrt(80) - (sqrt(80) - sqrt(80)*-2*6)))\/sqrt(8)).\nAnswer: -42*sqrt(5)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d**3 + 13*d**2 + 11*d + 26. Let p be f(-6). Which is the nearest to -0.5? (a) 3\/4 (b) -1\/10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/25*10\/(-12))\/(28*(-71)\/650076).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3970927 or 31767419\/8?\nAnswer: 3970927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**2 - 3*v - 6. Let t(w) = w**2 + w + 3. Let s(a) = 3*j(a) + 7*t(a). Let z be s(-3). Is -9 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -704 - -696.6. What is the closest to -1\/2 in m, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 8*y**2 + 19*y + 18. Give a(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2592971.\nAnswer: 491, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - 4*n + 2*n + (2 + 0 + 0)*(-1 + 1 - n) - n - 17 + 0 - n.\nAnswer: -5*n - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2 - 0. Let g be (-67)\/441 + 170\/4165. Which is the third smallest value? (a) g (b) 5 (c) 3\/5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 0*w**4 + 1 + 0*w - 1\/60*w**5 - w**2 + 0*w**3. Let i(k) be the second derivative of f(k). Let u(l) = 3*l. Determine u(i(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(2\/3))\/n*n)\/n*n*(n*n\/(n*(n\/(n*n*n**(1\/3)*n)*n)\/n)*n*n)\/n*n)\/(n**(-3)*(n*n*n*n**(-2\/13)*n*n*n)\/n)*n**37\/(n**(-4)*n**4) assuming n is positive.\nAnswer: n**(548\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c = v - 10575, -2*c - 52923 = -5*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/8 (c) 2\/17 (d) 14\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135 times -3?\nAnswer: -9405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/52608 and 133\/55584.\nAnswer: 30460032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339\/2 or 1389?\nAnswer: 339\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*k - 5*f - 47, -5*k = 4*f - 118. Suppose -7*l + 2 = -k. Suppose 9*p - 50 = l*p. Solve 4*j = -2*i + 4, -i + p = 4*i + 3*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a7 (base 13) in base 11?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 9:35 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 1, u: 1, d: 1, s: 1, p: 2}. What is prob of picking 1 u and 1 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*q - 19. Sort -1, -2\/9, q in descending order.\nAnswer: q, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-52)\/(-22) + 20\/40 and 79\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21129 > -739496\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 196 + -193. Put j, 4, 5 in decreasing order.\nAnswer: 5, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r. Let l = r - -2. Solve 4*p = -22 + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v**(-2\/7)\/v)\/v)**(-30))**(-1\/28))**(1\/43) assuming v is positive.\nAnswer: v**(-120\/2107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/8)\/p*(p**(-8)\/p)\/p)**(1\/5))**(2\/85) assuming p is positive.\nAnswer: p**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 - -135. Suppose -2*h - 5*i - 15 = 0, 0*h + 5*i = -4*h - 5. Solve -5*p + s + h = -8, -2*p - w = 3*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 160*g + 1. Let f be i(1). Suppose 5*b + 211 = 3*c + 84, -5*b - f = -4*c. Suppose -v + t + 30 = 0, -v + 2*t = -t - c. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -68 + 3?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*c**3 + 129*c**3 - 1074*c**3 - 375*c**3.\nAnswer: -1229*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001001001100011 (base 2) in base 11?\nAnswer: -48858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 1.42. Let w = v + -0.12. Let q = -2.2 + w. Which is the biggest value? (a) q (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwwwwwwwwwww. What is prob of picking 1 w and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875 less than 2636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*n - 126. Suppose 26*r - n*r = -65. Suppose 0 = 17*p - r*p. Which is smaller: -2\/3 or p?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -504\/5 (c) 17.64 (d) -2\/9 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -2 + (-6)\/2. Let p = 10 + h. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2644625 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/8*58\/3. Suppose 876*o - 878*o = -116. What is the highest common factor of o and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49.730769 + -687299.\nAnswer: -687348.730769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 738*y**4 - 914*y?\nAnswer: 8856*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/((-26)\/(-150891)*-53).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 203?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -256*q. Let c be h(-4). Let o(s) = -2*s**2 + 15*s + 24. Let i be o(21). Let k = i + c. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -116. Find the second derivative of 3*c**2 + i + 10*c**3 + 3*c**3 - 7*c + 0 wrt c.\nAnswer: 78*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - -32 - (-4307 - -4286).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 7. Let w be h(6). Let p = w - 21. Let o be p\/(-6) - 2\/6. Solve -t = o*t - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 11:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94 + -78. What is the greatest common divisor of l and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5344130 is divided by 77451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/108*27\/2. Let u(p) = 2*p**2 - 2*p. Let a be (4\/10)\/(2\/20). Let y(x) = 311 - 311 - 5*x + 5*x**2. Calculate a*y(m) + b*u(m).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*w + 9. Let d = w + 15. Solve -2 = -x - d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 9. Let v be d(8). Let o be v - (-1 - (-12)\/4). What is the first derivative of -o + 2*t**2 - 4*t**2 - 6*t**2 + 1 wrt t?\nAnswer: -16*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5072 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239979583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 173331 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**2 + 47*k + 55*k - 183*k + 31*k + 50*k.\nAnswer: -43*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 138 + -88. Suppose 150 = 6*a - a. What are the prime factors of (j\/15)\/(4\/a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:49 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5629*z - 510*z + 47109 = 149489 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (3 + -6)\/((-70)\/630) and 105.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 0*t - 56. Let n = t - -30. Suppose 0 = 3*f - o - 106, f + 30 = n*f - 3*o. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 1 + 3, 4*q + g + 25 = 0. Let j be 2\/(-4)*(-4)\/q. Suppose 4*n + r + 0 - 2 = 0, 3*n + 3*r = -3. Sort j, 0, n in decreasing order.\nAnswer: n, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-148305\nAnswer: 593220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 - -260. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330774 a multiple of 365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-3 - 4) + 13 - -39)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2911 * 17\nAnswer: -49487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1921.7 - 1632. Let y = l - 304. What is y rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5513180 and 4134885.\nAnswer: 16539540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + 3*n**2 + n - 4. Let f be ((-5)\/(25\/(-20)) - 3)\/(8\/(-32)). Let t(g) = -2*g**3 - 4*g**2 - g + 5. What is f*c(v) - 3*t(v)?\nAnswer: -6*v**3 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - 0.11. Let i = z - -0.04. Let n = 0.73 + i. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 47*q. Let u(z) = -77*z. Let o(g) = -5*h(g) - 3*u(g). Let i(f) be the third derivative of -f**4\/4 - f**2. What is i(o(r))?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9323+-12.17\nAnswer: -9335.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k + 8*m - 4*m + 24, -5*k - 6 = -3*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/30 + 1)\/((10\/(-3))\/((-1872)\/351))\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - m - 90, 348*c + 39*m - 101 = 349*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*p + 15. Let t(l) = -l - 1. Is t(p) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, a: 5}. Give prob of sequence sss.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 7*v**2 - 6*v + 1. Let y be m(-6). Let t be 4 - ((-33)\/(-3) + y). Is -8 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 56*h - 245 wrt h?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9022c - 97?\nAnswer: -902c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twnw when four letters picked without replacement from wtttttttnntnttnwtttw?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 20*k + 3. Let r(x) = 21*x + 4. Let s be (324\/126 - (-6)\/(-7))*(-14)\/(-4). Calculate s*c(q) - 5*r(q).\nAnswer: 15*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybyoyooyyoyyyyoyoy. What is prob of picking 2 y, 1 b, and 1 o?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 95, 222, 417, 692, 1059?\nAnswer: 1530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -3\/5, 27, 3\/4, -1\/3, 0.8, 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 62. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 8 - 21*u - 19*u**2 - 14.\nAnswer: -3*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-97)\/(-4) + (-562 - -538). Let i be (-10)\/12 + (-1)\/(-2). What is the closest to i in d, -1, -28?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-72))\/((-26)\/(-117))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*c - 1150*c + 2341*c + 9 - 29.\nAnswer: c - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**3 + 11*o**2 + 72*o + 91. What is z(-2)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let v(j) = j**2 + 2*j. Let k(r) = r**2 + r. What is a*v(g) + 5*k(g)?\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -732 - -726. Let h(f) = -f**2 - f + 33. Let l be h(s). Solve -5*o - 3 = -2*n + 6, 4*n = -l*o + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 82795464 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6, 2*s - 1805 = 2*z + 9859. What is the hundreds digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -170.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12510113 (base 6) to base 10\nAnswer: 413469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53581263*n*y - 128302823*n wrt y.\nAnswer: -53581263*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 6*w - w + (1 - 3 + 0)*(658 - 11*w - 658) - 6*w + 3*w + w to q*w + t and give q.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 6*n**2 + 2*n - 8. Let j be b(6). Let h(x) = x**2 + 6*x + 7. Let v be h(-5). Let u = v + 2. Solve -2*q + 7*q = -u*c, -3*q - 8 = j*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -352.7 + 352.702639. Round l to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29319516 divided by 2443293\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 100221?\nAnswer: 100210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*573.\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 0.1 (c) -32 (d) -5 (e) -6532 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -5\/7, -1.2, 2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - x + 1. Suppose 2*p = 5*u - 3, 0 = 3*u + 2*p - 6 + 1. Let m(k) = -22*k**2 - 6*k + 3. Let f(z) = u*m(z) - 3*s(z). Let n(l) = l. Give n(f(r)).\nAnswer: -19*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45960, 45957, 45952, 45945, 45936, 45925, 45912?\nAnswer: 45897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - 10. Let v be ((-10)\/15)\/(2\/c). Let p = v + -1. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 2.3. Let i = b - -1.1. Let m = 0.4 + i. What is the second biggest value in 3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.10502 rounded to 2 dps?\nAnswer: -42.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 3*w - 5. Let a(m) = m**2 + 5*m + 9. Let d(s) = 3*a(s) + 5*j(s). Calculate d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -1577*k + 30. Let m(l) = -7884*l + 144. Give 5*m(j) - 24*s(j).\nAnswer: -1572*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**4 - 3*o + 3*o)*(5 + 1 - 1) + (-2*o**3 - o**3 + o**3)*(13*o - 3 + 3) + o**4 + 15*o**4 - 4*o**4 as i*o + k*o**3 + x + d*o**2 + q*o**4 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8999, 36045, 81113, 144197, 225291, 324389, 441485, 576573?\nAnswer: 729647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -19 (b) 4 (c) -1\/6 (d) -3 (e) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4006 or 4004?\nAnswer: 4006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 196 + 710 + 452 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.61 and 47.8718.\nAnswer: 45.2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1315*c**3 + 1320*c**3 - 3967*c**3 + 1338*c**3.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**4 + 4*p**4 - 2*p**4)*(-25 + 49 - 79*p - 25).\nAnswer: 79*p**5 + p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 863421 divided by 39\nAnswer: 22139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 162177174 a multiple of 1087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2208 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 29*v - 49. Let z be u(27). Solve 2*a - 4*a + z*l = 0, l = -5*a + 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose -15 = -l*p + 21. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, w: 1, u: 1, t: 5, n: 3}. What is prob of sequence wt?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.886458 nanograms to grams.\nAnswer: 0.000000001886458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -10 - 8 - (14 - 8)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 3 (b) 4 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11734905 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*y = -20*y - 3420. Does 2 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 5*r**2 + 5*r. Suppose -944 = -11*x - 724. Suppose 6 - x = -7*m. Let s(g) = g**3 + 2*g**2 - 2*g. What is m*l(z) + 5*s(z)?\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c - c)*(3 + 17*c - 10 - 21*c)*(c + c - c).\nAnswer: 8*c**3 + 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 9. Suppose -3*q - 4*c = -17, -4*q - 5*c + 22 = -q. Let l be q + (0 + -5)*-3. Let u be t(l). What is u rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95448771 + -5?\nAnswer: -95448776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -16. Let d(v) = v**2 + 1. Let x(i) = -7*i**2 + 5*i - 2. Let r(j) = 6*d(j) + x(j). Let z be r(w). What is the highest common factor of 44 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 6*f + 2. Let t be h(5). Which is the second biggest value? (a) -2 (b) -2\/9 (c) t (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 + 231236*d\/7 - 462480\/7.\nAnswer: 2*(d - 2)*(d + 115620)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2864*h - 3848. Let g(s) = -11392*s + 15391. Let x(p) = 3*g(p) + 13*r(p). What is the first derivative of x(z) wrt z?\nAnswer: 3056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.067 + -15.067. Which is the closest to s? (a) 0.3 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 12:48 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h + 20. Suppose -3*y = -21 + 15. Suppose -y*s + 10 = 0, a - 139 = -3*a - 3*s. Calculate the remainder when w(-15) is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 125\/(-6)*(4760\/51)\/(-2). Let q = -131\/755680 + 6644931569\/6801120. Let k = y - q. Find the common denominator of -45\/14 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75188260 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/38606403 and -91\/263076?\nAnswer: 154425612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 0, 2, -2, -8 in ascending order.\nAnswer: -8, -2, 0, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from yaeoaalapaeeeel?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 1\/2, -3, -1\/6, 0.\nAnswer: -3, -4\/7, -1\/6, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 3:12 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 123*s**2 + 59*s + 123. Let b be j(61). Suppose -4*c = -h + 6071, -c - 2*h - 1521 = h. Is -1 - c - (-4 - (b + -9)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of 0*a - 3\/4*a**5 - 1\/24*a**6 + 0 + 15\/2*a**3 - 126*a**2 + 5\/24*a**4. Suppose k(l) = 0. Calculate l.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-6)\/((-540)\/42))\/(96460\/16536).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*c - 16 + 8 + 71*c**2 - 3*c - 11*c.\nAnswer: 71*c**2 - 17*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -23*q**3 - 2*q**2 - 3*q - 3. Is v(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*r - 42*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 37*q + 2. Let m(d) = -d - 1. Let x(c) = 6*m(c) + o(c). Differentiate x(j) wrt j.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 + 24. Let p = v + 113. Calculate the remainder when p is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*t + 10647 = 114*t. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 6*g - 7. Let y(u) = -u**2 + 5*u + 6. Let w = 6 - 1. What is w*y(f) + 4*r(f)?\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - y**3 - 2*y**3 - 1 + 1 to the form h*y + u*y**2 + b + s*y**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 6:26 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3013 times -0.1?\nAnswer: -301.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 1:11 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 914783.89 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.342 + 16.342. What is the third smallest value in 17\/6, s, 1\/5, 1\/7?\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2126183107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3941 - 3937. Let l(y) be the third derivative of 0 + 0*y**3 + 0*y**b + 0*y - 3*y**2 - 29\/70*y**6 + 6\/35*y**5 + 25\/784*y**8 + 13\/49*y**7. Factor l(z).\nAnswer: 3*z**2*(z + 6)*(5*z - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/389 in -2\/25, -2\/33, 28, -2?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 3*s - 6. Let r(v) = 2*v**2 + 2*v - 5. Let j(f) = -3*i(f) + 4*r(f). Let c be j(-2). Let x = -62 + 64. Sort 4, x, c.\nAnswer: c, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -i - 112 + 120, i - 2*m = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**2 - 3*h + 5. Let c(x) = 4*x**2 - 2*x + 3. Determine 5*c(d) - 3*i(d).\nAnswer: -4*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-2 - (-9 + 2)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {c: 5, d: 1, s: 4, l: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (155\/35 - 1) + (-5 - -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbsevjyvjyvs. What is prob of sequence by?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0038117231 to four decimal places.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.3. Suppose -39*z + 32*z - 6 = 15. What is the closest to -1 in -4, z, p, 0.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - 27*v - 131. Calculate the remainder when 1219 is divided by m(-14).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4306269383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 20. Let r be -2 + (1 - 1) + 4. Suppose -3*u + 4*j = -4, 5 = -5*u - r*j + 3. Let b be t(u). Solve 5*k - n - 2*n - 5 = 0, 2*n = -5*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 5, -1 in increasing order.\nAnswer: -5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/168*(-15 + (-2 - 4)).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3 = -b, -5*f + 28 = b. Suppose f*w = 109 + 51. Suppose -2*r + 3*a - 7 + 23 = 0, 0 = 4*r - a - w. Solve -3*c = k + r, 24 = 4*k + c - 3*c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.97 - -0.23. Let t = -1.2 + q. What is the third smallest value in t, 0.1, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12197 + -12193. Let k(j) be the first derivative of -j**4\/4 + j**3 + 7*j**2\/2 - 5*j + 1. What is k(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -366aa3 + 89?\nAnswer: -366a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrd when three letters picked without replacement from {r: 1, s: 2, d: 2, l: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/3 - (0 - 257). Suppose 23*n = 28*n - a. Suppose -2*k + n = -29. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 66, 146, 258, 402, 578, 786?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 5799 to the nearest 100.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -151, -1, 5, -689 in descending order.\nAnswer: 5, -1, -151, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5874, -11008, -16100, -21150, -26158, -31124?\nAnswer: -36048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5*i - 9. Let d be t(-4). Suppose -d*v - 3*v = -140. What is the least common multiple of 22 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5102 + 5*n - 3*n + 5085.\nAnswer: 2*n - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 5*w**2 + w - 2. Let j be a(5). Let s be (6\/(-9))\/((-4)\/30). Suppose -u + j*y + 198 = 3*u, -3*u - s*y + 134 = 0. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32.1 - 6.1. Let s = v - 26.22. Let d = s + 0.15. What is the smallest value in 0.1, d, 0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7479 - -7696. Solve 222*i - 20 = y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 7193208?\nAnswer: 7193204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23180?\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 12*f + 12. Let s be i(8). Let k be (-8)\/s + (-16)\/(-10). What is the third derivative of n**5 + 3*n**2 - k*n**5 - n**2 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.16 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169351 is divided by 56450.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258186 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -741 + 1616. Let m = -857 + t. Calculate the highest common divisor of m and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, i: 1, y: 2}. What is prob of sequence yni?\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2187 + 2232. Solve -49*z + 34*z = r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s - 62. What is the remainder when 4 is divided by g(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 10 + 0*x + 14*x - 5*x - 2 + 2 + (-1 + 3 - 1)*(-2*x + 2*x - 2*x).\nAnswer: 7*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 43*q**2 + 221*q - 45. Let k be g(-37). Let j(i) be the second derivative of i**5\/20 + 7*i**4\/12 - 5*i**3\/3 - 6*i**2 + i. What is j(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10230300 - 1?\nAnswer: 10230233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-3\/4)\/c*c)\/(c**4\/c))\/((c*c*c**5)\/(c\/c**(-3\/13))))**(-16) assuming c is positive.\nAnswer: c**(1980\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*-4*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21235525, -21235537, -21235551, -21235567, -21235585, -21235605?\nAnswer: -21235627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let x(s) = s + 1. Let q(f) = d(f) - 2*x(f). Let u be q(-2). Let z = -1 - -1. What is the second biggest value in z, 2\/9, u?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -221 or -220?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-3*h + 5*h + 0*h) + 2*h + 0*h - h + (-1 + 0 - 1)*(3 - 3 + h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2967 * -0.5\nAnswer: 1483.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 23*u**3 - 2*u**2 - 2*u + 11. Let i(r) = -12*r**3 + r**2 + r - 6. Let d(j) = -6*a(j) - 11*i(j). What are the prime factors of d(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/6 - o**4\/8 - o**3\/3 + 8*o**2. Suppose -4*f - 5*a = 37, -f + 2*a + 0*a = -7. Is w(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17898 + 11?\nAnswer: -17887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(3842*369\/2091).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8325 and 9618300.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 10*t**5 + 38902336*t**4 + 37834785875954*t**3 - 15133920574756*t**2 = 0.\nAnswer: -1945117, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2\/3, -1354, 2, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4) + 67\/2. Let g be (h\/3)\/((-10)\/(-30)). Suppose -5*t + g = -21. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12759 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -412020 (base 5) in base 11?\nAnswer: -a069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2062912697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22061*n + 22142*n + 22116*n - 68359*n.\nAnswer: -2040*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -144 divided by 180\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -2. Let b = g - 7. What is the units digit of ((-4)\/6)\/(b\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 1 = x, -4*y - 12 = 0. Let i = -322 + 350. Suppose 23*v - 51 + i = 0. What is the lowest common multiple of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -152999\/2 greater than 468?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14195 is divided by 123?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607*h - 4 + 28 - 363*h + 60*h - 161*h.\nAnswer: -1071*h + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 495*r - 1088. Give u(1).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + (-4 - -4))\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u + 6. Suppose -u*x + 36 = -4*t + 7, t - 4 = -x. Which is smaller: -1\/28 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-20)*-36*127\/2. Let h = 681 - d. Suppose -b = -5*b - 16. Is b at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -145 + 3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-6 + 3)) + -9 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 226978.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185208 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6782 + 1511?\nAnswer: 8403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -19. Suppose -32 - 168 = -p*f. Let z be 216\/f - (-4)\/(-10). Solve 0 = z*n - 3*j - 3, 5*j = 2*n + 2*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, 3.5, 0.3, -55\/2, -0.2 in ascending order.\nAnswer: -55\/2, -0.2, -2\/23, 0.3, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 33 - 23. Let x(y) = y**3 - 8*y**2 - 7*y - 13. Let n be x(9). Solve -n*g - 11 = -4*l, -2 = r*l - 3*g + 2*g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20706843 or 0.1?\nAnswer: -20706843","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jaas when four letters picked without replacement from aacaijaajsaja.\nAnswer: 21\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -10*r + 12*r, 8 = 2*y - 4*r. Suppose 0 = f - 5*f + 8. What is the third derivative of -11*l**5 + 2*l**2 + 8*l**f + y*l**5 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393222113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 76 + 212. Is 97 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.0278?\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1870*z - 215381 = -28381 for z.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-10) + 66\/(-5). Let f(u) = 16*u + 3. Let g be f(8). Let l = g + r. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/158790 and -67\/210.\nAnswer: 1111530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -104*t + 2388. Calculate l(21).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3915506 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -178a41 (base 12) in base 6?\nAnswer: -12434521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -465\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**20*h**4\/h assuming h is positive.\nAnswer: h**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -153*l - 15447. Give m(-101).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 71 = 11. Let b(w) be the second derivative of w**3\/6 + 7*w**2\/2 + 5*w. Let h be b(8). Calculate the highest common divisor of h and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 42 = 14*l, 3*i = l - 1138 + 1141 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -493926 + 197570523\/400. Find the common denominator of d and -11\/150.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1263144, -1263143, -1263142, -1263141, -1263140?\nAnswer: -1263139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66582 and 1370.\nAnswer: 332910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, -28, -70, -140, -244, -388?\n\"Answer: -p**3 - 5*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 83973*o**2 - 122*o - 15. Is g(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2301*q - 1 + 1 + 2303*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/(z*z*z**7*z)))\/z*z*z**(-32))\/(z**(-3\/19))**(-10\/7) assuming z is positive.\nAnswer: z**(-2823\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/4 - 35*x**4\/4 - 285*x**3.\nAnswer: 5*x**3*(x - 19)*(x + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/4 - -2)*(-36)\/(-60). What is the biggest value in 1, f, -3, -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bobooqobobuosbooo. Give prob of sequence bqso.\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433 + 429. Let i(p) = 6*p - 3. Let z(k) = -6*k + 4. Give h*z(q) - 5*i(q).\nAnswer: -6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 343*m - 339*m. Suppose -v + 9*w = m*w - 15, 46 = 5*v + 4*w. Which is smaller: 9 or v?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.743 + 0.043. Sort 3\/5, p, 2\/17, -1\/9 in descending order.\nAnswer: 3\/5, 2\/17, -1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, c: 10}. Give prob of picking 2 c.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 239022185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 105435715?\nAnswer: 105435722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 19 = -q, t - 5*t + 90 = 5*q. Let p = -9 + q. Let u(z) = 2*z + z**2 - 10*z + p*z. Let d(l) = -2*l**2 + 5*l. Determine -6*d(f) - 10*u(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/31000185 or 0?\nAnswer: 2\/31000185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 1763*j + 5*j**3 + 1252*j + 2950*j.\nAnswer: j**3 + 5965*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Suppose r*a - 56 = 7*a + 4*s, -s - 3 = 0. What is the units digit of 2\/a - 200\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31)\/(-11) + 2\/11. Suppose 0 = 4*j - 5*j. Let y be j + 7 + 1 + -1. Solve a - 6 - y = -5*r, -3*a = d*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*y, -3*y = -5*g + 10*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2 + 2)*(-3 + 2 + 3)*(-2*l**2 + 39 + 3 - 15).\nAnswer: -20*l**3 + 270*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 10:56 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 4, a: 6}. Give prob of sequence ai.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 38 = -22, 2*i - 8*g = 17*g - 68 + 348 + 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 5*v**2 - 7. What is l(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/25 (b) 2 (c) 29 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.66474cm to meters.\nAnswer: 0.2866474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 w when three letters picked without replacement from {g: 2, c: 1, p: 1, j: 1, h: 1, w: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m - 2. Let j(p) = -2*p + 2. Let g be j(1). Let o be (-2 - -6)*(g + 6\/8). Determine d(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752866921?\nAnswer: 431, 983, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:53 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -293, -587, -881, -1175, -1469?\n\"Answer: -294*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3727*m**2 - 272099*m + 2044.\nAnswer: (m - 73)*(3727*m - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**24))*(r**(6\/19)*r)\/r*r*((r*(((r*r**(2\/13)*r*r)\/r)\/r)\/r*r)\/r)**(9\/5))**(-33) assuming r is positive.\nAnswer: r**(-231429\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 22340?\nAnswer: -22346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4616367 is divided by 230805?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/(-72)*-73 - (-2)\/(-8). Let d = m - 42. Let x = 0 - -0.1. What is the closest to d in -1, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + 109 + (-1 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwl when three letters picked without replacement from {p: 11, l: 2, r: 1, x: 1, w: 2, t: 1}?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-1)\/(-2))\/(45\/30)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/4)\/c**(-8))\/(c*c\/(c*c**0))**(-2\/5))\/((c**(-2))**16\/(c**(7\/2)\/c*c**4\/c)) assuming c is positive.\nAnswer: c**(913\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/6251 - 314332\/6251. Let t = l + 50. Let a = 3.7 + -4. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = n + 4. Let z be (n\/(-9))\/(1\/(-3)*-1). Which is the third smallest value? (a) -2 (b) z (c) -0.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 32. Suppose -2*o + 6*o - 200 = i. What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(3) - sqrt(108)) + 0)*6*-5)**2 + 1.\nAnswer: 607501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33010697.136 minus -0.056?\nAnswer: -33010697.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 11*q**2 + 10*q + 7. What is m(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 147808 - 147593. Let u be (-10)\/3*(-3)\/2. Calculate the highest common factor of u and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1666*x + 1676*x - 3341*x + 2*x**3 - 238*x**5 - 4*x**2 - 22 wrt x.\nAnswer: -14280*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 0. Let l be 140\/42 + 6\/4*(1 - 3). Let h be 4\/10 + (-19)\/10. Which is the closest to l? (a) h (b) s (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(4\/30). Let t(z) = z**3 + 42*z**2 + 41*z + 4. Let r be t(-41). Sort -4, p, r in descending order.\nAnswer: p, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)\/j)\/j**(-1\/9)*(j*j*j**(-1\/2))**(-30) assuming j is positive.\nAnswer: j**(-2909\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 94, -3 in decreasing order.\nAnswer: 94, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7276 - 21041. Let a = -29765 - f. Round a to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 3*h**3 - 3*h**3)*(-2*h + 5*h - 2*h)*(-3 + 5 - 1).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + f - 137, 4*m + 8*f - 6*f + 103 = f + 4*f for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*u**5 - 47*u**5 + 86*u**5 + u**5 - 3*u**5 + u**5 + (u**3 - 2*u**4 - u**3)*(0*u + 0*u + 2*u).\nAnswer: -12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 13. Let b be a(10). Suppose 3*c**5 - 2*c + 5*c**4 - c + 3 - 2*c**4 + 6*c - 6*c**2 - 6*c**b = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 14, 61, -2 in decreasing order.\nAnswer: 61, 14, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.061 - -9.939. Let w = y + -100. Let o = -78 - w. Which is smaller: o or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7410 and -449.\nAnswer: -3327090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rblsbsysyb. Give prob of picking 1 l and 1 y.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/((-14)\/35)*2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**2 + 1958134*c + 3426710.\nAnswer: 2*(c + 244765)*(4*c + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174455852377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 104664697 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 26*q**4 - 162*q**3 - 33494*q**2 - 150870*q + 184500 = 0.\nAnswer: -30, -75\/13, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(11) + 0))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h**(-1)))*h)\/(h**5\/h*h)*(h\/((h*h\/h**0*h)\/h*h))**(4\/13) assuming h is positive.\nAnswer: h**(-47\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 596?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -1. Suppose -5*x = 2*b + 17 - 6, 19 = -4*x - 5*b. Does 4 divide r\/(-18) - x\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 24*a - 92 - 10*a + 22*a.\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 0*q**2 + 0*q**2 + 3*q**2. Let p = -1426 - -1428. Let m(z) = -2*z - 2*z + 5*z - 3*z - p*z. Give x(m(c)).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (85*d - 130*d - 138*d - 78*d)*(3*d**4 + d**4 - 3*d**4).\nAnswer: -261*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 + 5*w + 15. Let l(b) = b**2 + 6*b + 17. Calculate 5*l(c) - 6*n(c).\nAnswer: -7*c**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -95 + 109. Let o = -37 + 314. Suppose -5*w = -h - o, j*h + 114 = 5*w - 3*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 80\/3473457 and -137\/2652.\nAnswer: 13893828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/6 (b) 54 (c) -3\/2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16)\/((-7)\/14)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3959, -3950, -3931, -3896, -3839?\nAnswer: -3754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 1436.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -99\/13 and -0.2189 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q - 0. Let f(g) = g**3 - 3*g**2 - 5. What is the remainder when f(q) is divided by (-2*1)\/(4\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*z - 22 = -3*q, 6 = -2*z. Suppose 3*a + q = -4. Let m = 0.56 - 0.46. Is a at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/11 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 614905 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-7))**(2\/13)*(g\/((g\/(g**(-1\/5)*g))\/g))**(-43))**(-19) assuming g is positive.\nAnswer: g**(94069\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 4*q - 1. Let r be 0\/2 + 0 + -3. What is the remainder when 68 is divided by u(r)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 12. Suppose -2*r = -2*n + 1 + 1, 4*r = -n + 11. Let p be v(r). Solve -d - 6 = -p*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 2*j + 6*j + 2*j - 13*j**4 - 7*j**3 - 11*j as n*j + u*j**4 + q*j**2 + p*j**3 + b and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1501 + 1501.1. Are 233 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdvw when four letters picked without replacement from {p: 1, c: 1, w: 1, s: 2, v: 1, d: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 4478?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 10*m + 2. Let w be y(12). Let j = -13 - w. Calculate the remainder when 35 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -79069*b + 211. Let h(v) = -v. What is h(g(i))?\nAnswer: 79069*i - 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 11 = v, -1100*j + 1105*j - 3*v = -28. Suppose 5*z + 11 = -114. Put z, 1, j in increasing order.\nAnswer: z, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -246 (b) -188 (c) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 + 2*k**2 + 5*k - 11. Let p(d) = -4*d**3 + 3*d**2 + 5*d - 10. Let m(t) = -4*p(t) + 3*r(t). Is m(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-5))\/2 + (4 - 80\/25)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, 5, 0, -33 in ascending order.\nAnswer: -33, 0, 1.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i - 91. Let a be x(-9). Is a < 1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/4*(3 + 191). Suppose -2*u = 2*o - o - b, -94 = -2*u + 2*o. Suppose -4*f = 2*r - u - 26, f - r = 14. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3. Suppose 9*z = -1 + 19. Solve 1 = o*j - l - 4, 0 = -2*l + z for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3*18)\/3 - -3. Let x = 54 - j. Does 20 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7295 is divided by 659.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151 - -359. Suppose 5*i - 97 = c. What is the remainder when 181 is divided by i?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -1\/3, -0.3, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2792 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Suppose d - 2*z - 8 + 1 = 0, a = -4*d - z + 19. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h + h**3 + 9*h**2 - 4*h + 2*h - 8. Let z be c(-7). Let i = z - 16. What is the smallest common multiple of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 11*r**2 - 12*r + 12. What is p(10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 418*z - 414*z + 60 = 0, -5*r - 125 = -8*r + 14*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-1\/11))**(-5\/2)*x**(2\/11)*x*x**(2\/5)*(x*x*x*((x\/x**(-2\/3))\/x*x)\/x)\/(x\/x**7) assuming x is positive.\nAnswer: x**(1856\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 - -3*(2 - 1) and 1?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 13. Let o be k(9). Suppose -5*t + g = -o, -t = -3*g - 12 - 0. Solve 6 = -3*v, t = -0*r + 3*r - 5*v - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 1 + 1 = -3*p, 0 = -s - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*b**5\/3 - 80*b**4\/3 - 92*b**3 - 328*b**2\/3 - 128*b\/3 = 0. What is b?\nAnswer: -16, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/195 and 64\/429.\nAnswer: 2145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16025256 and 8788.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 5*r + 38, 2*r - 479*s + 478*s + 15 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 t when four letters picked without replacement from tttttwwttttwtttwttt?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from bfdddfbfbbbffdfddfd.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7770.627kg to tonnes.\nAnswer: 7.770627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.4, -2\/13, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2486 and 506?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -930 + 930 + 60*o**2 + 4*o**2 - 5*o**2 + 0*o**2 + 3 - 4*o**2 - 3 + (-3*o + o - o)*(-4 - 2*o + 4).\nAnswer: 61*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/2*(-27)\/36. Let v be 3 - ((4 - -2) + 1). Is 37 + 2\/(i - v) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {m: 10, b: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, u: 2}. What is prob of sequence huhu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/4558 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50186646 divided by 96143.\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 304 + -304.000001. Round r to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 21*d**2 - 41*d - 13. Let b = -170 + 183. What is the hundreds digit of x(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.8 - 7.8. Let w be 0 - 2\/((-12)\/1). What is the nearest to 2\/9 in d, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + -135?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/7)*z**(3\/4))\/(z**(-7)*(z**(-16)*z*z)\/z))**1 assuming z is positive.\nAnswer: z**(633\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001269 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212002212 (base 3) to base 11.\nAnswer: -25497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(187) - (sqrt(187) - 3*(sqrt(187) - (sqrt(187) - sqrt(187)*-4 - sqrt(187)))))\/((sqrt(99)\/sqrt(3) + sqrt(33))\/sqrt(3)).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + p + 3 + 0 + p + 3 - 1 + (4*p - 3*p - 3*p)*(26 + 25 - 15) in the form m + d*p and give d.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q - 10. Let m be l(11). Let f(p) = -2*p**2 - 3*p - 7. Let u be f(5). Let n = u + m. Calculate the greatest common factor of n and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.92308 and 0.05636.\nAnswer: 0.97944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 2525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ximilxilixii. Give prob of picking 3 x and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d - 10. Let r be (-3)\/((-36)\/(-15) - d). What is the second derivative of -50*n + 7*n + 46*n**r - 373 + 373 wrt n?\nAnswer: 920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1574354 = 87*x - 1575833 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -953\/8 - -119. Let h = 5674 - 5678. Which is the third smallest value? (a) z (b) 91 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 31\/5 of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44837943 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 369 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 3*h = d + 25, d = 4*h - 18. Suppose d*q = 5*q - 4965. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from vog.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 4*x - 30. Let s = 28 - x. Suppose -64 = -25*u + 186. What is the remainder when s is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)*-3)\/sqrt(3))\/sqrt(4)*2.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10230430 rounded to the nearest 10000?\nAnswer: 10230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 - -158. Let g = s - -27. What is the remainder when g is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 220 = -13*z. Let a(r) = -r**3 + 5*r**2 - 4*r. What is the lowest common multiple of a(3) and z?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:07 AM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000840865 rounded to six dps?\nAnswer: 0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4630.2 - -37?\nAnswer: -4593.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ylloloylolyoo. Give prob of picking 2 y.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -113 + 83. What are the prime factors of (19668\/110)\/((-9)\/g)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 178 = 5*x, 2*x - 7*x = -20. Let m = d + 4. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -327672*o**2*s + 137*o**2 + 2*o*s**2 + o + 1514 wrt s.\nAnswer: -327672*o**2 + 4*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*x - 245 + 3800 = 0. Which is the nearest to 0? (a) x (b) -3 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 is divided by (6\/12)\/(2\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + w = -310, -3*d + 0*d + 226 = -4*w. What is the highest common factor of d and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 935 and 71720.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 c when three letters picked without replacement from bccc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16625320 or -1\/29?\nAnswer: 16625320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -194*o. Let n(v) = -5684*v**2 + v. Determine n(b(u)).\nAnswer: -213923024*u**2 - 194*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-2)\/(1080\/45)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 64*x - 4*v = -1604, 3*x = -2*v + 1201. Calculate the remainder when x is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033937 rounded to four decimal places?\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 943922541544?\nAnswer: -943922541545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 9. Suppose 17 = -4*v - 43. What is the least common multiple of 4\/6 - 65\/v and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106462 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 9*j + 13*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.289421 litres?\nAnswer: 5289.421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/50 + 3291*s**4\/10 + 10830681*s**3\/5 + 35643771171*s**2\/5 - 34*s + 141. Factor u(h).\nAnswer: 2*(h + 3291)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of (-7)\/(49\/(-70)) - -1041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 + 4)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18a - 31?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216730 is divided by 2146?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + q + 1689 = 6*q, 11*w = 4*q - 4674. Which is bigger: -428 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1\/3) + 14\/(-21). Let r be 2 + -1 + -11 - g. Let d be (-16)\/(-6) - (-6)\/r - 2. Solve 8*m - 3*m + 20 = d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*v + 5, 5*v - 4 = z - 9. What is the tens digit of (-1)\/((-2988)\/597 + z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, -7 in decreasing order.\nAnswer: 3, 2\/3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 15. Let i = -15 + z. Let a be -2 + 0 - i\/3. Is -0.6 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90678093*c**2*j**2 - 2*c*j**2 + 2*c*j + 4*c + 273*j**2 - 2950 wrt c.\nAnswer: -181356186*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25204 is divided by 184.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, f: 2}. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*(-3)\/((-6)\/19). Suppose -2*c + 4*x = -a, -5*c - 6*x + 178 = -4*x. Let t = 36 - 25. Solve -5*o - c = -t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z + 220736 = -263889. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1180672690 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3033 less than or equal to 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c - 35*c + 9*c - 113 + 9*c as s*c + f and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 709716 and 96?\nAnswer: 5677728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 55802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 690104, -0.02, -0.3?\nAnswer: 690104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 14 + 347 = -45*q - 102, 4*u = -q - 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 358 + -355. Let b(q) = -q**3 + 9*q**2 + 1. Let i(s) = -s**2 - 1. Let o(l) = -b(l) - 6*i(l). Let f be o(p). Solve 0 = -f*a + 10 + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 5:04 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 - g - 5. Suppose 97*y - 90 = 112*y. Determine n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/5)\/(15\/76575) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2 - 2 - h + (-7*h + 2*h - h)*(27 - 43 + 38).\nAnswer: -133*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 4 + 4 - 12*k + k - 11*k + (0 - 2 + 1)*(-3*k + k + 4*k) as a + f*k and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 132269.013 to the nearest one hundred.\nAnswer: 132300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*u + 12 = -5*k, 3*u + 14 = -8*k. Put 0, 4, 17, k in decreasing order.\nAnswer: 17, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8956 and 265612570?\nAnswer: 4478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3) + 0)*6\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42774454.\nAnswer: 2, 21387227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c + 10, -3*l = -c - 1202. List the prime factors of l.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121502 (base 8) in base 4?\nAnswer: 22031002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2222*l + 2230*l - 16 = 0. Which is the closest to l? (a) 1 (b) -3 (c) 14.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/((-21)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 7. Let b(r) = 5*r + 6. Let d(w) = -4*b(w) + 3*y(w). What is d(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27, -1, 23, 45, 65, 83, 99?\n\"Answer: -k**2 + 29*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 9:06 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 8 (b) 5 (c) 5.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/168*6\/24*-266.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3626246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - f - 1103*i - 1097*i + 2195*i - 69, -4*i - 92 = 4*f for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 + 11111?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 - 62\/14) + 178\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/11? (a) 2 (b) 0.042 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*t**2 - 4 + 145*t**3 - 138*t**3 + 2 as i + x*t**3 + k*t + z*t**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1759171652 to the nearest integer?\nAnswer: 41942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -456 - -447. Let s(j) = -203*j**2 + 11*j - 18. Let h be s(c). What is h rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:47 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.4 - 1.6. Let r = g - -0.204. What is r rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721325 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: What is the third derivative of 483*s**3*u**3 - 58*s**3*u - s**3 + 2*u**5 + 2*u**2 wrt u?\nAnswer: 2898*s**3 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33.125182527 and 4.\nAnswer: -29.125182527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + z**4 + (-5*z**2 + 6*z**2 - 2*z**2)*(-z**2 - 3*z**2 + 2*z**2) + 2*z**4 + 4*z**4 - 4*z**4 - 3*z**4 + 7*z**4 + 9*z**4.\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 47 + (-2)\/6*(-1 + 7). Suppose 13 = -b + t. Suppose -b = -5*f - 2*c, 2*f - 6*c + c = 36. Calculate the smallest common multiple of 6 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003102 rounded to 6 decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -27. Suppose 0 = 4*b - 4*g, -2*b + 3*b - 4*g + 12 = 0. What is the remainder when i is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 364970 to the nearest one thousand.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1016*z - 17539 = 10896 + 15253 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821242 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -45 + -53?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*l - 15 + 94 = 0, 3*l + 15 = 0. Suppose 43*o - w*o = 20. Solve -18 = 3*d + 3*a - 0*a, 2*d = o*a - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17604*q**3 + 22874*q**2 wrt q?\nAnswer: 105624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0.6. Which is the closest to 1? (a) -0.06 (b) -0.2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217211.\nAnswer: 83, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*p - 23, -4*p + 4*n = n + 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 17 (c) -2\/11 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 432199.5km?\nAnswer: 43219950000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 39 + 81. Let b be (-72)\/j - 4\/10. Let g(f) = -f**3 - 4*f**2 + 3*f - 7. Let w be g(-5). Is b at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 20860?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -13, -4, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 821*x + 799*x + 800*x + 766*x - 4108*x + 779*x.\nAnswer: -143*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + a + 3, -5*g - 5*a + 0*a + 25 = 0. Suppose u = -t - 4*t + 1200, -733 = -3*t + g*u. Let x = t + 38. List the prime factors of x.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**0*i*i)\/i)**33\/(i**(-2\/7))**(-6\/11))\/((i\/i**0)**(1\/4)*(i**(1\/2)*i)**(-31)) assuming i is positive.\nAnswer: i**(44689\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/23? (a) -13 (b) 3 (c) 2\/7 (d) -6\/19 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004638664 to 6 dps.\nAnswer: -0.004639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -26, -50?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 3*i**2 - 5*i + 4. Let c be l(4). Suppose 5*b - 349 - 181 = c. Let k = 148 - b. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 915 + -1528. Let v = 1072 + f. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/5*(-2560)\/48. Calculate the highest common divisor of 72 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.2 + -28. Let a = -27 - d. Put 0.3, a, -1 in decreasing order.\nAnswer: 0.3, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-4) + (-11)\/((-374)\/(-51)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 48*r**2.\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 2*s + 1. Let i(x) = 4*x**3 - 2*x**2 - 26*x + 4. Calculate 6*h(j) - i(j).\nAnswer: 2*j**3 + 2*j**2 + 14*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 31*r**7\/15 + 359*r**5\/15 - 339*r**2 + 1. What is the third derivative of q(b) wrt b?\nAnswer: 10416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9374 and 602?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 2, 5, 3, -5.\nAnswer: -137, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-12)*55\/990?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(8\/5))\/b*b**(4\/5))**(3\/16)\/((b**0)**(-5)\/((b\/b**1)\/b)**(1\/8)) assuming b is positive.\nAnswer: b**(13\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9071490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-2) + 9\/6. Suppose 0 = -0*h + z*h + 12. What are the prime factors of 161\/21 + 4\/h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.54, 33\/2, -90, -3\/4 in decreasing order.\nAnswer: 33\/2, -0.54, -3\/4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 3*v = -0*s + 15, 3*s + 9 = -3*v for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3 + 880172*c**2 - 48414960832*c - 435805944336 = 0. What is c?\nAnswer: -9, 110026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/33747 or 0?\nAnswer: 2\/33747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -105841\/90 - -1176. Suppose 4*j + 3 = -1. Is j >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 109434769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1659786.6 months in decades?\nAnswer: 13831.555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**4\/12 - 9*q**3 + 53*q**2\/2 - 79*q\/3 - 271. What is v in k(v) = 0?\nAnswer: 1, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 277 = -32*f + 37*f, 2*f - 3*w = 126. Suppose 0*c + 678 = 3*c. Calculate the remainder when c is divided by f.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + (9 + -9 - -4) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 6324 = -184*f + 14*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 4, -0.15, 180796, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 259411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 656 + 186. Let a = z + -531. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 1 + 6. Suppose 0*o + 20 = c*o. Suppose -31049321 = o*r + 32950679. What is r rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - -375.85. Let v = -376.000000594 + h. Round v to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v = -13*v + 105 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 233206.2mm?\nAnswer: 233.2062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*2*2\/3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95739 - 95739.4. Let x = 0.2 + 1.8. Suppose -4*w - 4 = 4. Put c, w, x in descending order.\nAnswer: x, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 92 = -4*l, -96*l + 18 = 18*k - 100*l for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33a - 701c8?\nAnswer: -70535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-42)\/(-3) + (-10)\/(-5) and 6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 + 18 = 0. Suppose -3*c = 3*r - 1212, y*r = 3*c + 7*r - 1216. Suppose -u - j = u - 406, -2*u - 5*j + c = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8822 + 43209. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -10*q + 2*m + 12, 0 = -3*q - 4*m - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19380 - 9*q - 19383 + 4*q - 18*q.\nAnswer: -23*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*l = 20 + 37, 20 = -4*l. Let m = v + 10. Let a = m - -23. What is the lowest common multiple of a and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147395207*f**2*z - 2*f**2 + 3380*f*z - 2256*f - 2*z wrt f?\nAnswer: -294790414*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**3 - 10*h**2 - 282?\nAnswer: -12*h**2 - 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 71. Suppose 4*m = 23 + z. Calculate the remainder when 19 is divided by 215\/m - 1\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653890229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, -1212, -2752, -4304, -5868, -7444?\nAnswer: -9032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 507433.\nAnswer: 17, 19, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.414 + 0.114. Are d and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -641 or 192?\nAnswer: -641","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 28*s - 331. Calculate z(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (1 + sqrt(832) - sqrt(832)) + 4 - ((-1 + sqrt(832) + sqrt(832))*4 + -5))**2.\nAnswer: -53537 + 2176*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 2*m = 24, -2*f + 5*m - 16 = 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 599 + -596. Solve w*n - 9 = r + n, 25 = 5*r + 4*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojojjjjjooojjjjjjoj. What is prob of sequence ojoj?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*y**3 - 365*y**3 + 60*y**3 - 39*y**3.\nAnswer: -423*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xy when two letters picked without replacement from qbiiyxo?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -319.5 + 319. Put -4\/5, -3\/10, t in ascending order.\nAnswer: -4\/5, t, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1142.417 - -1143. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u - 2. Let f be 1*(1 + 0 + -7). Let a be o(f). Let d = -15 + a. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000402931 to six decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1973.611 weeks?\nAnswer: 1193639932.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.065*649552\nAnswer: 42220.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 4:47 PM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135455 + 1403?\nAnswer: -134052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -244014730.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -20*n**2 + 161*n + 24. What is w(15)?\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.17 + 7. Let t = 0.1655 + 0.2645. Let b = t - r. Which is smaller: 0.2 or b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-28))\/(30\/(-120)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124086 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4621880.57 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/365873?\nAnswer: 3\/365873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128 divided by 4?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**3 + 8*m**2 - 20*m - 3. Let a(r) = -14*r**3 - 22*r**2 + 61*r + 9. Calculate -4*a(j) - 11*t(j).\nAnswer: j**3 - 24*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let m be o(2). Let l(z) = -26*z**2 - 11. Let y(t) = 9*t**2 + 4. Let a(k) = m*l(k) - 11*y(k). Let g(h) = 3*h**2. Calculate g(a(c)).\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2 + 2*a**2 - 8 + 8 + 3*a wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351132910 to the power of 1\/2, to the nearest integer?\nAnswer: 36758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 + 58*d**2 + 801*d - 23129. Determine r(29).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/35, -0.4, -1\/54, 5, -1\/3, -5.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 2*j. Let y be l(-2). Let i = 36 + -31. Sort 2, y, i.\nAnswer: 2, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 144035*(-1)\/((-1)\/(-57)). Round x to the nearest 100000.\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxexhhxxxxhxhxxxxhxe. What is prob of sequence hx?\nAnswer: 13\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 926 - 923. Do p and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxxwxrwerwsxsrrssggs. What is prob of sequence es?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiimwuwiumii. What is prob of sequence muw?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.59 + 2.49. Sort f, -1.5, -0.3.\nAnswer: -1.5, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -71. Suppose p = t - 31. Suppose -415 - t = -5*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 52. Solve 0 = -4*n + q*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in centuries?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2*a = -8, 5*a + 15 = 4*p - 9*p. Let d = p - -6. Suppose -3*m + z + 10 = 0, 0*z - 3*z = d*m - 26. Solve -2*r = -3*r - m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123281\/16260 + -2\/1355. Let u = 8\/1079 - 160819\/6474. Calculate the common denominator of p and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107158 is divided by 4368.\nAnswer: 2326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 181474 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v - 4 = l + 41*v - 21, -5*v = -4*l + 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*p**2 - 98*p**2 + 80*p**2 + 22*p**2 + 30*p**2 + 26*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2256929?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wmwwsqo. What is prob of sequence oqm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2691)\/46)\/((-78)\/36)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 741.9 + 0.036364?\nAnswer: 741.936364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1073235 divided by 179.\nAnswer: -1073235\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2 = -3*l, -10*c + 8*c + 5 = 3*l. Solve -q + 7 = 4*j, 5*j - c*j - q = -3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -1, 9, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 103740?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {m: 3, q: 6, h: 6}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssl when three letters picked without replacement from {s: 3, p: 4, y: 1, l: 5, u: 1}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 2, c: 5, a: 3, k: 2, l: 2}. What is prob of sequence akvv?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30325 (base 10) to base 4.\nAnswer: 13121311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319, -670, -1019, -1366?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, r: 4, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -837 (c) 25\/24 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2*t = -3*d - 3, -9 = 3*d. Let g = -34 + 17. Let s(u) = 11*u**2 - 23*u + 3. Let x(y) = 4*y**2 - 8*y + 1. Give g*x(o) + t*s(o).\nAnswer: -2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20014*j + 20067*j - 1824 + 181 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15666, -1, -2, 211 in decreasing order.\nAnswer: 15666, 211, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17249 and 0.1.\nAnswer: -1724.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 27*i**2 - 4*i + 20. Let o(a) = 3*a - 2*a - 2*a + 1 + 3 + 5*a**2. Let t(y) = -2*g(y) + 11*o(y). What is t(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29213 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t + 4. Let z be i(-4). Suppose 0 = 218*d - 236*d - 72. Sort 3\/2, 5, z, d in increasing order.\nAnswer: d, z, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f - 12*f - 11*f**2 + f**2 + 11.\nAnswer: -10*f**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 541516546 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 466763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22460426267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 87010326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**4\/24 + k**3\/6 - 2*k**2 - 48*k. Let w = 32 - 32. Suppose -g + w*g = 3*y - 14, 12 = 4*y. Give l(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 100 = 112. Let j = 44 + -29. What is the greatest common divisor of j and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165932 and 12636?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4826536 to the power of 1\/2, to the nearest integer?\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 6*r**2 + 8*r - 2. Let j be g(7). Let f be j\/(-3)*6\/15. What is the nearest to 0.1 in 2\/3, 2, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m**3 + 19*m**3 + 210*m**3 - 176*m**3.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**5*v - 25*d**2*v**2 - 12*d*v**2 - 9*d*v + 1 wrt d?\nAnswer: -60*d**3*v - 50*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**2 + 908010*c + 68706846675 = 0. What is c?\nAnswer: -151335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9414871?\nAnswer: 41, 229631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 434976 + 19 + 7 + -2. Round y to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*f*p**3*q**2 + 13*f*p**3 + 3*f*p**2*q**2*u - 2*f*p**2 + f*p*q**2*u + 3*p**3*u - 77*p**2*q*u - q*u wrt p?\nAnswer: 72*f*q**2 + 78*f + 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + 1\/(-4). Let t be (1 + u)\/((-5)\/185). Let y = -22 - t. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34668.53 years to decades.\nAnswer: 3466.853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 576891 = 2*g + 923103, -4*s + 5*g = -5999985. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -19\/7. Which is the closest to 2\/7? (a) -3 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5626762?\nAnswer: 2, 17, 61, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 1940832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 3. Give l(-11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7505183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*z**3 + 11*z**2 - 11*z**2 + 0*z**3 + 4*z**3 - 6*z**3 + (3*z + z - 2*z)*(2*z - z**2 - 2*z) + 3*z**3 + 33 + 12*z + 16*z - 25*z.\nAnswer: 5*z**3 + 3*z + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 + -607?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 15*t**2 + 97*t - 23. What are the prime factors of g(19)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.406265 seconds?\nAnswer: 2406.265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 + (5 - -10 - 8))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1323 + -b2c?\nAnswer: 4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h**3 + 39*h**2 + 12. Let z(y) = -8*y**3 - 38*y**2 - 12. Let j(w) = 6*c(w) + 5*z(w). Calculate the remainder when 18 is divided by j(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s**2 - 5*s - 1. Calculate the remainder when f(3) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eexxee. What is prob of sequence eex?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*v**2 + 6*v**2 - 4*v**2 + (-v - 2*v**2 + v)*(0 + 1 + 1) - v**2 + v**2 + 2*v**2 + v**2 - 3*v**2 + 3*v**2.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 + 29\/3)*6\/1. Solve -80*v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87388226?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8331112631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64a94 (base 14) in base 4?\nAnswer: -323131222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340893 is divided by 9213?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98305567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -2626 and -2628 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-1 + 0 - 2)*(-2*l - 4*l + 0*l).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 22 = 8*q. Let x be 0 - 0 - (1 - -1). What is the remainder when x\/(-6)*42\/2 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b + 5. Let t(s) be the first derivative of 2*s**2 - 2*s - 2. Let w(q) = 2*h(q) + 5*t(q). Let y(a) = 2*a - 2*a + 4*a**2. Calculate y(w(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -73, -89, -109, -127, -137, -133?\n\"Answer: u**3 - 8*u**2 + u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 18*p - 26*p + 18 as f + j*p and give j.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6*l - 256 = 2*s, 0 = 3*l - 3*s - 150. Let o be (-98)\/(-8) - (-1)\/(-4). Let x = o + l. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -8 + (4 + (-5 - (-14 - -4)) - 4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.31 in -4, -25170, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.240143 and 26628.926.\nAnswer: 26629.166143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/382 and 33\/74260.\nAnswer: 14183660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -64, -137, -210?\nAnswer: -283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yomk when four letters picked without replacement from kykmmoykmyobyk.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4466651224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 22*k**2 - k - 2. Let t be h(-2). Suppose 25 = 5*b, 5*b - 57 = -g - 3*g. What is the greatest common factor of g and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 15, 11 in increasing order.\nAnswer: 6, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7457376.\nAnswer: 2, 3, 77681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43134759469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23.198 + 24. Let i = p - 0.89. What is i rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/2 + 243*p\/2 + 924 = 0.\nAnswer: -7, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260 and 126620?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*a**3 - 6*a**3 - a**3 - 41*a.\nAnswer: a**3 - 41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - -5. Suppose 3*d = 5*c + 7*d + 87, -3*c + 2*d - 39 = 0. Let r = c + y. Is 3 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 3:34 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from seesedeeseedess?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -19 - 2)\/2. Suppose 4*p + 1 = -4*u + 13, -5*p - 3*u + h = 0. Solve 6 = 2*z - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + j - 2102, 9*j - 10*j + 2 = 0. Is p a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 0*z - 4*z = -216, 146 = -3*f - 5*z. Let l = -52 - f. Let v(p) = -p**2 - 6. Determine v(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 f, and 1 i when four letters picked without replacement from {z: 3, q: 2, m: 1, i: 1, f: 12, p: 1}.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04700001 - 0.047. What is p rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 - (57 + (-20 - -2))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*h**2 + 19*h**2 - 7*h**2)*(-2 + 6 + 2)*(h - 3*h - h) to r + w*h**2 + v*h + i*h**3 and give i.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1698085 from -0.167.\nAnswer: -1698085.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-14)\/6) - 2250\/630. Let r be 204\/(-8)*2*u\/(-24). Which is greater: -9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445846 and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/7 (c) -3880 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 210545196?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((0 + sqrt(153) + 4)*4 + -1))**2*-1.\nAnswer: -66825 - 9000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 23*i = 0. Suppose 18*j - 20*j - 10960 = i. What is j rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.268 + 146.268. Let i = v + -146.2. Suppose 0 = -5*b + 4 + 6. What is the nearest to 0.1 in b, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 57 + 11. What is the first derivative of -4 + p - 4*w + 17*w wrt w?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqdfjjdqjjjj. What is prob of sequence fq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -180 divided by 18?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -556\/11 + 1209\/22. What is the common denominator of t and 239\/(-48) - (-385)\/55?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 16*c - 18*c = -26, -8 = -2*c for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/2 + (-3 - -7). Let j be (-2 - 1)*(-8)\/6. Let s be 2\/j + (-7)\/(-2). Are s and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 0 - (-43 - -38).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*t + 49, -24 + 127 = -6700*t + 6696*t + 12*w - 5 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 6. Suppose 11*v - v = 30. Calculate the remainder when b is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w - 15*w - 6*w + 294 = 4*z, 33*z = -4*w + 2434 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (5 - (-2 + (5 - (14 + -10) - 42)))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 10*v + 20. Let j be x(7). Let q be 2\/(-8) + (-6)\/8. Let k = q - j. Solve r - 6*r - 25 = k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t + 89. Suppose -214*y + 980 = -539 - 407. Calculate g(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-5))\/(3510\/(-780))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/10 - t**3\/3 + 8*t. Let a(l) = -6*l**3 - l**2 - 6*l. Suppose -3*i + 28 = 1. Let b = 16 - i. Determine b*k(w) - 2*a(w).\nAnswer: -2*w**3 + 2*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24 and -0.094602?\nAnswer: -2.270448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 217.552 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110976 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 330 and 513210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2656122 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 + u - 4. Let t = 1241 - 1241. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/68725 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1152) - sqrt(1152)) + 0)**2.\nAnswer: 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**5*m\/(m**15\/m*m*m) assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/2265, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**3 + 155*v**2 - 511*v - 205. What is o(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**4 + 0*d**5 - 1002*d**2 + 1014*d**2 + 2*d**5 + (6*d**3 - 15*d**3 - 4*d**3)*(3*d**2 - 4*d**2 - d**2).\nAnswer: 28*d**5 + 3*d**4 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(sqrt(800) + 1 - sqrt(800)) + sqrt(800) - (sqrt(800) + 1)*3))**2.\nAnswer: -8640*sqrt(2) + 115524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -746343 or -746340?\nAnswer: -746340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:08 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (59 - 62)*(0 + 2 - 3). Sort 2, -5, c, -28, -3 in ascending order.\nAnswer: -28, -5, -3, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-1))**7 assuming k is positive.\nAnswer: k**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2211*x - 66 = -2189*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4 + 0 + 5*f + 5. Let v be z(2). Let q = -1502.5 - -1502. What is the third smallest value in v, q, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 4*b + 2. Let y = -178 + 646. Let s be 12\/(-22) + y\/132. Solve a - 4 = s*m, b*a = -4*m + 6 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -153? (a) 215 (b) -1\/7 (c) -1 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2 - 9432*g\/5 - 5661\/5 = 0 for g.\nAnswer: -3\/5, 1887","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53779*a*g**3 - 17*a*g**2 + 1696*a + 1161 wrt g.\nAnswer: -161337*a*g**2 - 34*a*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*v - 27, -21 = 2*h + 6*v - 3*v. Which is the closest to -0.1? (a) 2 (b) h (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 times -0.35?\nAnswer: -125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/4*((-3)\/15)\/(3\/33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/6 + 7\/3)\/((-1181)\/3543)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -94b25 (base 15) to base 2\nAnswer: -1110011001001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -36, -77, -134?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650397?\nAnswer: 3, 11, 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29313? (a) 4 (b) 2\/7 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/48 - 19\/240. Which is the third smallest value? (a) -3 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1474 + -1472. Sort 0.4, k, 2117 in decreasing order.\nAnswer: 2117, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/1884 and (7114\/(-4396) - 4\/(-2)) + (-6)\/14.\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405 rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1101121 + 33202?\nAnswer: -1001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-213)\/142)\/(6\/15*15\/(-4)). Which is the smallest value? (a) -2\/19 (b) 14 (c) 0.5 (d) p (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 r when three letters picked without replacement from iiigirirrg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5\/2 + 15\/4*b - 5\/4*b**2 - 15\/4*b**3 - 5\/4*b**4 = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10393264 divided by -3976?\nAnswer: -2614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2768417, 2768330, 2768243, 2768156, 2768069, 2767982?\n\"Answer: -87*b + 2768504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1, 25, 59, 95, 127?\n\"Answer: -u**3 + 10*u**2 + 3*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 + -55. Let t = -62.2 - -13.2. Let h = t + j. Put 0.5, h, 0.3, -0.3 in ascending order.\nAnswer: h, -0.3, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(-2)\/3. Suppose 0 = -3*t + 4*l + 10, 4*l = -3 - d. Suppose 2 - 14 = -4*z. Solve 0 = q - 3*n - 11, z*q - t*n = q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6 + (3 - 125\/(-45)). Let w = 5 - 2. Which is the second smallest value? (a) w (b) f (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - -0.132177.\nAnswer: -24.867823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.9892 or -1?\nAnswer: 13.9892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*s + 2*s. Suppose -z + 48 = s*g, -84 = -2*z + g - 3*g. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4 = 5*h, -5*h + 0*h - 3*k + 12 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 707*h + 67*h - 120*h + 280*h.\nAnswer: 934*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17937741 < 17937744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8673 - 4630. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 3:54 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**4\/l*l*l*l)\/l**5)\/(((l\/(l*l*l**(-24)))\/l)\/(l\/(l*l**(-25)))) assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*t - 4*t + 3*t)*(-2 - 1 + 1)*(-1 + 1 + 1)*(1 + 1 + 0) in the form c + i*t and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 6*v**2 + v - 3. Let j be u(6). Let l(s) = s**2 - 2*s**2 + 7*s**2 + 3*s**2 - 4 - 8*s**2. Give l(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - -5 - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*c*z**3 - 6126*c*z**2 + 14*c + 8952*z**4 wrt z?\nAnswer: 222*c + 214848*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2420 in 1.4, -3, 0.49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22976 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4 - 5*u**4 - 24*u**2 + 24*u**2 with respect to u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - 12*x**2 + 13*x - 7. Let p(f) = -10*f**2 - 11*f**3 + 22 - 48*f + 10*f + 45*f**2. Let h(w) = -8*a(w) - 3*p(w). Is h(8) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.134 * -4.\nAnswer: 0.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(7\/(-7*(-3)\/6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.71 + -1.61. Let c = 1 - 2. Let x = -0.3 + -1.7. What is the closest to -1 in j, x, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -8, -115, -1\/10, 4, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 - 8*w - 8. Suppose 9*b - 5*b = 8. Suppose -b*l = -5*m - 7 - 6, 0 = -3*l - 3*m + 9. What are the prime factors of f(l)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 8, -44 + 30 = 2*b + 2*i. Sort -33, -1, b, 12 in increasing order.\nAnswer: -33, b, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 62*x**2 - 61*x - 99. Give v(30).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**3\/2 - 2427*h**2\/2 + 93519*h - 182196 = 0?\nAnswer: 2, 84, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 7*i**6\/60 + 17*i**5\/15 + 9*i**2\/2 + 60. Let v(m) be the second derivative of n(m). Find the third derivative of v(w) wrt w.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l - 121. Let q(y) = -40837*y. Give q(v(t)).\nAnswer: 163348*t + 4941277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34650 = 28*l - 13*l. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 36\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 691097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*a - 74586 + 187281. Let l(u) = -2*u - 7. Let t be l(-6). Suppose -2*m = t*d - 2563, 3*m + 2*d - a = 424. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15 and -63848.538?\nAnswer: 63863.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230903?\nAnswer: 233, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -89*c**3 + 7*c**2 + 9*c - 1. Let l(q) = -44*q**3 + 3*q**2 + 4*q. Give 7*l(j) - 3*m(j).\nAnswer: -41*j**3 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 3, d: 1, v: 7}. Give prob of picking 2 n, 1 v, and 1 l.\nAnswer: 9\/143","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 10:59 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -405*o**2*v*w + 3*o**2*w**2 + 3*o**2*w + 3*o**2 - 464*o*v + o*w**2 - 3*v*w**2 + 17237*w wrt v.\nAnswer: -405*o**2*w - 464*o - 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 - 21*m + 210. Let n(l) = -2*l**2 + 4*l - 40. Let g(i) = -21*n(i) - 4*v(i). Let b(h) = -9*h**2 - 173. Give g(b(f)).\nAnswer: 162*f**4 + 6228*f**2 + 59858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -40, -60, -78, -94, -108, -120?\n\"Answer: k**2 - 25*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 12*a**3 + a**4 - 2*a**2 + 6*a**2 + 12*a**3 to z*a**4 + d*a + m + c*a**3 + b*a**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 18 - 212 = -5*n, 0 = 4*n - 3*k - 191. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28814.418 plus -5?\nAnswer: 28809.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -15*s**3 - 7*s**2 + 16*s**3 + 15*s + 1 - 2 - 2. What is the units digit of t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7603 - -44?\nAnswer: 7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1*(3 - 226\/40) and -87\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 402500 and 2702500?\nAnswer: 18917500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -525010 or -524676?\nAnswer: -525010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b4 (base 12) in base 8?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*s + 105 = 324*s - 152*s - 475 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 16 = -5*x + 3, 4*d + 4*x = 32. Suppose -d*c - 28 = -85. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + v - 54 + 13 + 6 + 10.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 40*i**5\/3 + 14*i**4\/3 - 62*i**3\/3 - 10*i**2\/3 + 22*i\/3 - 4\/3 = 0.\nAnswer: -1, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 1)*(-2 + 3 + 1) + 0 - 4 + 2 + 2 - 3 - 1)*(-3*i**2 + i**4 + 3*i**2)*(-393 - 1756 - 1919).\nAnswer: 24408*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 + 1 = 0. What is the remainder when 32 is divided by 34\/h*(-12)\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 555550 - -5221?\nAnswer: 1005211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (14 - 8) + 0 + -2 + 62 + -39.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*-2*sqrt(77)*6)\/(3*-6*-2*sqrt(7)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q + 11. Let i be z(-4). What is the third derivative of -52*l**i + 41*l**2 + 43*l**2 - 70*l**3 - l**3 wrt l?\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -64*p + 1956. Calculate m(32).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -237*v + 0 + 15\/2*v**2 - 1\/2*v**3. Determine c(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38412 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1577838813 and 7041.\nAnswer: 7041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 7*u - 9. Let a(c) = -c**2 + 3*c - 4. Calculate 7*a(o) - 3*n(o).\nAnswer: 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 1\/98010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5)**29 assuming v is positive.\nAnswer: v**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-552*l + 11 + 10 - 27 + 7)*(3 + 5 - 2).\nAnswer: -3312*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of y**5\/20 - 13*y**4\/12 + 4*y**3\/3 + 14*y**2 - 2*y - 69. What is s(12)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-33)\/(-3) - 6))\/(18 - 20)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1379669, 5518620, 12416871, 22074422, 34491273?\nAnswer: 49667424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5718.3 or 0.2?\nAnswer: -5718.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -4, -2 in ascending order.\nAnswer: -16, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -143?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + u = 6, 21*g - 31*g - 2*u - 12 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 - r**2 - 2*r - 2. Let a be z(-1). Suppose 34 = 4*q + a. Let v be (2\/q)\/((-3)\/(-60)). Put -27, v, -1, 2 in descending order.\nAnswer: v, 2, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/3100 and 11\/8813920?\nAnswer: 44069600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 81*m - 33. Let o(z) = -5*z + 2. Let y be (9\/(-2) - 3)*4\/5. Let v(j) = y*u(j) - 99*o(j). Let n(x) = x**2. Give n(v(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 30*b**2 - 10517*b - 293723. Calculate x(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2468911 and -27\/2?\nAnswer: 4937822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 1. Let g(k) = -68*k + 131*k - 36 - 68*k. Let q(m) = 5*b(m) - g(m). Differentiate q(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/6)\/((-5)\/510). Let z be (-6)\/(-2 + 1) + 0. Let l(c) = -c - 2. Let a(t) = 6*t + 12. Let d(j) = r*l(j) + z*a(j). Calculate d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 122711 and 7088?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**4 - 4*h**4 + 0*h**4 + (-2 + 1 - 8)*(-3*h**3 + 3*h**3 + 3*h**4) - 2 + h**4 + 2 in the form d*h**3 + x*h**4 + o*h**2 + v*h + i and give x.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**4\/24 + 2*f**3\/3 - f**2 + 2655*f + 1. Suppose -2 = -o + 3. Give l(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 10 = 4*d, 0*d = 3*d. Let z = 1 - 2. Let g be z\/(-3 - (-20)\/6). Sort a, -4, g.\nAnswer: a, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 0*q**4 + 3*q**4)*(-3 + 0 + 0)*(0 - 2 + 1) + 14*q**4 - 22*q**4 + 14*q**4 + 2.\nAnswer: 15*q**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -0.3, 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/2967*-230*1*(-2)\/(-16)*16?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 2*v + 2. Let a(u) be the second derivative of u**4\/6 - 2*u**3\/3 + 5*u**2\/2 + u. Suppose 2 + 0 = r. Let l = r + 2. Determine l*a(d) - 9*f(d).\nAnswer: -d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*p - 10. What is the smallest value in 2, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 70784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 564474, 564477, 564490, 564519, 564570?\n\"Answer: n**3 - n**2 - n + 564475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -899 - -895. Which is the closest to 0.1? (a) 1\/15 (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z - 140 = -5*d - 29*z, -z - 140 = -5*d. Calculate the highest common factor of 182 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (18 + -19)\/((-8)\/6896)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -532*38\/(22344\/(-42))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 926, 978, 1040, 1118, 1218, 1346, 1508, 1710?\n\"Answer: f**3 - f**2 + 48*f + 878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(132) + -1*sqrt(132))\/sqrt(4) - -2*1*sqrt(33))\/(-1*-2*sqrt(1584))*1.\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1371 - 510*l - 688 - 683 to x*l + h and give x.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -27*s**2 - 4028*s - 30. Let u(c) = -5*c**2 - 806*c - 6. What is 2*n(o) - 11*u(o)?\nAnswer: o**2 + 810*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15019, -21191, -37947, -70579, -124379, -204639, -316651, -465707?\nAnswer: -657099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 24*h + 1147. Let g be u(36). What is the highest common divisor of g and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1734 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*((-885)\/(-60) + -9). Solve 0 = -i*m + 17*m + 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 3, -5, -8, 42 in decreasing order.\nAnswer: 42, 6, 3, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113611085?\nAnswer: 5, 7, 17, 79, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 4*b + 2. Let q be h(-4). Suppose -q + 0 = -r. Let a = 0 + r. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 952 in -5, -2\/31, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 66 = t. Let c(o) be the first derivative of -3*o**2\/2 - o - 3. Calculate the remainder when t is divided by c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 4*w**2 - 2*w - 3. Let p be h(3). Let o(n) be the third derivative of n**5\/60 + 4*n**3\/3 - 27*n**2. Calculate o(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 2\/3, 31.\nAnswer: -0.04, 2\/3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*w**4 - 41 - 39 - 2*w + 78 to o*w**4 + j*w + i*w**3 + d + g*w**2 and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2756 - 2763. Let b(w) = 141*w + 981. Give b(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 - 38. Suppose -q = -5*j + 5. Suppose 0 = -j*v + v + 667. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1, f: 1}. Give prob of sequence ca.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-30))\/(11\/(-99)))\/1.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 3 + 136*h**3 + 1 + 174*h**3 - 2*h.\nAnswer: 310*h**3 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 3*v**2 - 3*v**2 - 4*v**2 + 2*v**2 + 3*v**2 + (-2*v**2 + 1 - 1)*(2 - 3 - 1).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 204823?\nAnswer: -204827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 11. Let b(k) = -6*k + 10. Let z(q) = -5*b(q) - 6*f(q). What is the derivative of z(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 1. Let j(s) = 122*s - 115*s + 0 - 4 + 0. What is j(p) + 4*r(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 0 - 1\/2*p**2 + 0*p**3 + 0*p**4 - p + 1\/5*p**5. What is the derivative of k(h) wrt h?\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3716320966?\nAnswer: 2, 227, 8185729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -375*j**3 + 4499 + 965*j**3 - 1779 + 1125*j**3 + j**2 wrt j?\nAnswer: 5145*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/5)\/(-2)*(-1105)\/(-442).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -68313386*a**2 + 9711175 wrt a.\nAnswer: -136626772*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 769 = 863. Suppose 4*a - 8 = 4*g, -g + 4*a - 2 = 5*a. List the prime factors of 3\/15 + g + c\/(-5).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 28, -20198 in decreasing order.\nAnswer: 28, 1, -3, -20198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, -2\/171, -1, -5, -202 in increasing order.\nAnswer: -202, -5, -1, -2\/171, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u - 2585 + 10220 = 0. Let d = u - 483. Let g = -81 - -178. What is the remainder when g is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.805 + 3497.195. Let x = l - 3505.964. Let y = -6 - x. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34327\/8 - -4299. Let f be (-2)\/(-4) + -4 + (-28018)\/4. Let d = 126109\/18 + f. Find the common denominator of y and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57\/2? (a) -2\/5 (b) -0.6 (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 0*a - 19*a + 0*a - 237*a**3 + 239*a**3 as h*a + b + l*a**3 + r*a**2 and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18.6 in 36, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4346, 0, -3, -2, 4 in ascending order.\nAnswer: -3, -2, 0, 4, 4346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*i - 3, 5*n - 15 = -i - 0*n. Suppose -16 + i = -4*v. Solve 0 = 5*s - v*s - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**3\/3 + 2*t**2 + 18*t + 1419. Give s(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 11:21 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, d: 2}. What is prob of sequence dl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21599740, -43199483, -64799228, -86398975, -107998724?\n\"Answer: -y**2 - 21599740*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 k when two letters picked without replacement from {k: 5, c: 2, n: 1, a: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*t + 4 = 0, 3*h - h - 8 = 2*t. Suppose h*a = 21 - 1. Suppose 65 = a*y + v + 4*v, -5*y = -v - 77. Calculate the remainder when y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 382 (b) -2\/21559 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 1)\/((-9)\/426). Suppose 2*r = r + a. Suppose -5*q - 2*w + r = 0, 9 + 77 = 3*q + w. What is the greatest common factor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 6 - 10. Suppose 3*f = f + 2*v + b, 0 = -4*f - 4*v. What is the biggest value in 1\/5, 0.06, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 14*o**3 - 11*o - 8. Let t(k) = 5*k**3 - 4*k - 3. Suppose 30 = -2*r - 0*r. Let v = -7 - r. What is v*t(i) - 3*w(i)?\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + 0.3. Let o be ((-4)\/5)\/(26\/(-5)). Which is the closest to n? (a) 0.5 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + q - 1. Suppose -c + 180 = 3*i + 2*c, 5 = 5*c. Let p = -57 + i. Suppose -v + 2*l + 0*l = 5, -p*v + l = 1. What is g(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (407 - 1598 + 618)*(5*a**3 + 3 - 3) in the form m*a**2 + g*a + k + z*a**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41d9a + 5?\nAnswer: -41d95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5 - -10) + 1435 + 0?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 12) in base 8?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**3 - 6*q + 8. Let u(v) = 10*v**3 + 5*v - 7. Let c = -33 + 39. Let x = 819 + -814. Calculate c*u(j) + x*w(j).\nAnswer: 5*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 8 = 2*s, -2*u - 5*s + 2 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 23. What is the nearest to -2 in w, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b + 5. What is the remainder when v(7) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -171746 - 3274?\nAnswer: -175242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*x - 31134 = 300*x + z, -x = -2*z - 7780. Calculate the greatest common factor of x and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, o: 2, b: 2}. Give prob of sequence bovo.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2619416691 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594 and 1793871?\nAnswer: 118395486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3311797349 to the nearest integer?\nAnswer: 57548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -1544\/11, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*-5*(sqrt(1216) + -2*(sqrt(1216) - (-1 + sqrt(1216) + sqrt(1216))) + 3).\nAnswer: -1440*sqrt(19) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - 273\/(-26))*10. What is the nearest to 0 in -0.2, x, -107?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3085.6 - -5.9831.\nAnswer: -3079.6169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13454 (base 6) in base 9?\nAnswer: 2817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 922*k + 12902. What is u(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Let t = 41.2 + -41. Which is the closest to -1? (a) t (b) -4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 - w + 1. Calculate h(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 7*t**4\/6 + 1005*t**2\/2 - 2134*t. What is the first derivative of o(i) wrt i?\nAnswer: 28*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 12*a**2 - 9*a + 16. Let w be g(-11). Let x be 1807 + (-1 + -3)\/8*w. Round x to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336065663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4*-102*(-1148)\/20910.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(35)\/(-1*sqrt(5)) - sqrt(7)) + 1 + sqrt(1008) + 5)**2.\nAnswer: 120*sqrt(7) + 735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k**3 + 747*k**2 + 725*k**2 - 2192*k**2 + 714*k**2 - 22*k**3.\nAnswer: -28*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.856 - 0.344. What is q rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 7, 5, 2, 61, -3 in increasing order.\nAnswer: -8, -3, 2, 5, 7, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 138887.5823 rounded to the nearest 1000?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183624 and 16395?\nAnswer: 918120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*x + 50 + 9, -5*f = 5*x - 140. What is the least common multiple of f and 8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*z + u - 9, -5 = z + 3*u. Suppose j = 2*j - z. Suppose 5*l - j = l. Solve 2*o - 3 = l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 1728?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/2 (b) 3 (c) 39 (d) 2\/21 (e) -69\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 103142466, 206284931, 309427396, 412569861?\n\"Answer: 103142465*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283252 is divided by 924.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**7\/840 - k**6\/480 + k**5\/240 + k**4\/96 + k**2 - 1. Let p(a) be the second derivative of u(a). Solve p(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61342 = -2821*s - 164338 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33322.\nAnswer: 2, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-10)*(-1)\/6*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2119585 - -4?\nAnswer: -2119581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -1 - (250 - 266)) + -13 + 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -11) + (5 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*a - 4*r, r = 3*a + 6*r - 29. Let j = a - 5. Let w(q) = -3*q + 1. Let m(z) = 4*z. Let p(h) = j*m(h) - 3*w(h). Differentiate p(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 4 (c) 108\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 - (7 + 1 - 8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15832651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -2*f**6\/15 - 2*f**5\/5 + f**4\/3 + 4*f**3\/3 - 14*f. Factor r(w).\nAnswer: -4*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(2*i**2 + 7*i**2 + 5*i**2) to y*i + k + c*i**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 38.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*r**2 + 48*r**2 - 15*r**2)*(2*r**3 + 2*r**3 - 3*r**3 + (-4*r**2 + 3*r**2 + 3*r**2)*(-r - 5*r + 5*r) + 0*r**3 - 2*r**3 + 0*r**3).\nAnswer: -21*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9257574, -18515124, -27772674, -37030224?\nAnswer: -46287774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -108*g**2 - 159*g**2 - 56 + 224*g**2 - 70*g**2 as s*g**2 + m*g + p and give p.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-120) - (-8)\/15 - (-174)\/9. Calculate the highest common factor of 7870 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154365763 divided by 1953997.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1121 + -12323\/11. Suppose 0 - 2\/11*t**2 + s*t = 0. What is t?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 662 - 1544. Let w = b + 881. Is -2\/27 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 1\/1*3\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1421 = -7*t + 35. Let i = -4997\/24 + t. Find the common denominator of 17\/24 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 - 34. Suppose -5*d = 5*v - a, -v + 0*d + 3 = -2*d. Let n(u) = u - 2. Let t be n(v). Solve t - 2 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1378.0471 to the nearest ten.\nAnswer: -1380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 1. Let b(k) = 3*k**2 + 2*k - 1. Let w be (-38 + 30)*(-2)\/(-4). Let g(l) = -2*l**2 - 2*l. Determine u*b(x) + w*g(x).\nAnswer: -x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*a + 11, -4*a - a + 4 = c. Let z(j) = j**3 + 5*j**2 + 2*j - 2. Calculate the remainder when c is divided by z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -963596 - -3963596. What is h rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*z - 798 - 2106 = 4494 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.27 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(6\/(-4)*7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37206\/(-1431)*2\/4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 0*c + 2*c)*(2*c**2 + 5*c**2 - 5*c**2) - 43*c**3 - 131*c**3 - 9*c**3 to t + m*c**3 + d*c + h*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 166906.2 minutes?\nAnswer: 2781.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2257350 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(2430) - (sqrt(2430) - 4*sqrt(2430))))\/(sqrt(360) + (sqrt(360) + sqrt(360)*2)*-6 - -2*(sqrt(360)*2 + sqrt(360))).\nAnswer: 180*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 54 = 4*h. Let q = 28 - h. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y**2 + 169*y - 3523. Give b(28).\nAnswer: -359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - c = -2, 2*c - 2 = -3*i + 2. Suppose 70 = g + 3*g + 2*n, -5*g - 3*n = -87. Let a = 596\/33 - g. Which is smaller: i or a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, 0.4, 1 in descending order.\nAnswer: 5, 1, 2\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-64)\/(-160)*(36 + -1). Solve 0 = -2*w + 8 - u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) 2\/5 (b) -2 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*u + 16*u = -1170. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 600 - 579. Calculate the remainder when 25 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.55558mg to kilograms.\nAnswer: 0.00006755558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2)\/z**(1\/2))\/(z*z**2)**(1\/4) assuming z is positive.\nAnswer: z**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:49 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - 84.3. Let x = z + 89. Round x to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 23*a**2 + 22*a - 41. Let g be r(-24). Let q(d) be the first derivative of d**4\/4 - 7*d**3\/3 + 3*d**2\/2 - 9*d - 2. Is q(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 3*m - 5. Let f be h(4). Let g(n) = -10*n + n - n**2 - 1 + 2 + 9. Does 10 divide g(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggcg when four letters picked without replacement from {g: 7, o: 2, c: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -153, 23\/4, -1, 3, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -13.\nAnswer: -322\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 688716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**7\/294 - g**5\/70 + g**3\/42 + 7*g. Let l(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7472691 greater than 7472703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + j = 15, 2*j - 5 = -3*w + 4*w. Suppose -3*q - 2*k = -0*k - 10, 0 = w*q + 4*k - 20. Suppose q = -4*l + 20 + 36. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 155*s**2 + 612*s + 20. Calculate y(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/4, -4, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 88.\nAnswer: 7\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31890532 * -0.3.\nAnswer: 9567159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26839.503 minutes to days.\nAnswer: 18.63854375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67488?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-141)\/(-21) - (-4)\/56*4. Let g = -1 + 10. Suppose -g*o = -a*o. Solve -5*t - 15 = -o*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 - 17*q - 14. Let m be l(-7). Suppose 824 = 15*i - m*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-699)\/(-1165))\/((-9)\/300)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from vkvvkv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/208 and 83\/3760?\nAnswer: 48880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 357, 337, 255, 81, -215, -663?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 95 (b) -5 (c) -0.9 (d) -0.03269\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5789*b**2 + 306 with respect to b.\nAnswer: -11578*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -6, 123\/20, -0.08 in decreasing order.\nAnswer: 123\/20, -0.08, -1\/2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (8\/6)\/((-14)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + k - 11. Let o(q) = 6 + 7*q + 0 + 0*q**2 + 0*q**2 + q**2. Let r be o(-6). Determine f(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2668708?\nAnswer: 2, 7, 95311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0.1. Let b = -5 + -6. Suppose 27*y = 5*f + 31*y + 13, 2*f = y. What is the biggest value in f, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k**2 + 146*k + 3625. Calculate o(-26).\nAnswer: 2533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122303030 (base 4) to base 14.\nAnswer: -2c00c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 54 = -19*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(242) + 1 + sqrt(242)) + (sqrt(242) + 2)*4)**2.\nAnswer: -396*sqrt(2) + 8721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 6415248?\nAnswer: 6415248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3104*r = -3114*r + 136070. What are the prime factors of r?\nAnswer: 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -9*y - 8. Suppose -2*s + 3*b + 489 = y*b, -b - 735 = -3*s. Let j = -148 + s. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -221007 greater than or equal to -221193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bigu when four letters picked without replacement from {u: 2, b: 3, s: 2, a: 2, g: 1, i: 4}?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 813 and -122382.\nAnswer: -121569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8265l in millilitres?\nAnswer: 23826.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180016?\nAnswer: 2, 73751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3512 in -2\/7, -3, 1, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p. Let c(a) = -a. Let q(x) = -4*c(x) + n(x). Let j(r) = -103*r - 112*r + 216*r. Give q(j(l)).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -77a (base 11) to base 15\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -5*a + 37. Let m(q) = -183999*q + 2. Let p be m(a). Round p to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 870, 1089, 1312, 1539?\nAnswer: 1770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*n**2 - 160954*n + 160954*n.\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = t, 11 = -n - 0*t + 4*t. Let k(i) = 9*i**3 - 1. Let d = 4 + -1. What is the remainder when k(n) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.13 - -0.13. What is the nearest to f in 1\/3, 0.3, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14267964 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a day in hours?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 3*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Let x(p) be the first derivative of -s + p - 1\/2*p**2. Differentiate x(y) with respect to y.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*v + h, 3*v - 24 = v + 4*h. Factor -2 + 25*o**2 - 4*o**2 + 69*o + v.\nAnswer: 3*(o + 3)*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 80\/15*6\/4. Let o = -6 + f. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151466 is divided by 49999.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 15*v + 21. Let x = 69 + -54. Let o be d(x). Calculate the highest common divisor of 105 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3474*o**4\/7 + 156460*o**3\/7 + 5850*o**2\/7 = 0. What is o?\nAnswer: -45, -65\/1737, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 33. Suppose 0*u + 4*u = -4*l + q, -3*u + 5 = -4*l. Are 1 and l equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.0009 + -1.03. Let g = -3.9709 + r. Sort g, -0.2, 1, 19\/4.\nAnswer: g, -0.2, 1, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1785.1 + -1785. Which is the nearest to w? (a) 0.4 (b) -1\/4 (c) 0.02 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 3*x**7\/70 + x**3 + 8*x**2. What is the first derivative of z(k) wrt k?\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2)\/o**(4\/7)*((o*o\/(o\/o**(-1\/3)))\/o*o)**16 assuming o is positive.\nAnswer: o**(170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7 + 3*g**2 + 0*g**2 to the form t*g**2 + s*g + p and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 57772688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.5 times 117236?\nAnswer: 644798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34188396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13707 - -82261\/6. Let g(v) be the third derivative of 24*v**2 + 0*v + w*v**3 + 0 - 5\/4*v**4. Differentiate g(t) wrt t.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22145230.19999992 - 22145231. Let c = y - -0.8. What is c rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24882.94 and 19?\nAnswer: -472775.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 46*x**2 - 83*x**2 - 33.\nAnswer: -129*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 8*p + 5. What is the units digit of z(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 4 = l, 11*x = 10*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 9:32 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = r - 1, -2*r - h + 0*h = -6. Suppose -7 = -0*j + r*j - i, 4*j + 17 = -3*i. Let y = 5 - 0. What is the third smallest value in y, -0.2, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10899971 is divided by 279.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 3*m, 6*p - 2*p + 2*m - 22 = 0. Let l = -1.777 + -0.223. Which is the nearest to 0? (a) -3 (b) l (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 5. Let j = -3.6 - 1.4. What is the biggest value in -2, h, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59918654 divided by -202.\nAnswer: -296627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 0*b - 12*b**3 + 5 - 5*b + 14*b**3. Let q(h) be the third derivative of h**6\/60 - h**4\/8 + 2*h**3\/3 - h**2 - 25. Give 6*q(g) - 5*s(g).\nAnswer: 2*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 765130 (base 8) to base 11\nAnswer: 165873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 17 = -5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f**3 - f**2 + 62*f + 140. Give h(-2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*z - 9*z + 11*z + (-4 + 5 - 3)*(4*z - 6*z + 3*z) + 0*z - 3*z + 2*z)*(z - 6 + 6) to the form u + b*z**2 + q*z and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -32. Let f(d) = d**3 + d**2 - 32. Let x be f(0). Let o = n + x. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1186.3 + -1186. Is 2\/153 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -1956*y. Let p(q) = 29*q. Give l(p(z)).\nAnswer: -56724*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*l + 4*y - 85, 0 = 4*l + 4*y - 176. Suppose -w = 17 - l. Is 25 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, and 1 j when three letters picked without replacement from zggddkkgjdzkkldzdk?\nAnswer: 25\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31*o**3*u**4 + 10470919*o**3*u**2*y - 383191*o*u**4 - 11*o*u**2*y + o*u*y - u**3*y wrt u?\nAnswer: 744*o**3*u - 9196584*o*u - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7703 = v - 7635, 4*a = -v - 55 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - -94)\/((-4)\/1) + 1\/(-14)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 130\/(-208) + 390\/400. Let c(f) be the third derivative of -19\/160*f**6 - 1\/70*f**7 + 0*f**3 + 0 - l*f**5 + 19*f**2 + 0*f - 3\/8*f**4. Factor c(g).\nAnswer: -3*g*(g + 2)**2*(4*g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 370880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 13, -1, -5, 4, 3 in descending order.\nAnswer: 151, 13, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-12) + (-4)\/(-6). Let m be (8\/3)\/(2\/3). What is the closest to -0.1 in 0.1, v, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-723)\/(-2))*(-17 - -19) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -12*v + 44. Let y be i(7). Let p be (-10)\/y - 0\/(2 - 0). Let j = -9 + 11. Which is the nearest to 2? (a) p (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + 0 + 1 - (-154 + (-154 - -288)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 2\/9, -12331, 4, -2 in increasing order.\nAnswer: -12331, -3, -2, -1, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2323 - -10?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1\/3))\/((o\/(o**(4\/7)\/o))\/o*o))\/(o*o\/(o**(2\/7)\/o))**7)\/(o*o**(-4)*o\/(o**7\/o*o)*o*(o**6*o)\/o**9) assuming o is positive.\nAnswer: o**(-205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*((-332)\/(-12) + -1). Let w = 118 - b. What is the highest common divisor of w and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57525 divided by 4425.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -28 - 206. Suppose 5*z - f = -2*r, -3*z - 110 = -4*r + 2*r. Does 17 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(2592)*-2 + sqrt(2592) + sqrt(2592)) - sqrt(2592)*1*-1)\/(-2*sqrt(9)*-2 + sqrt(225)*-1))**2 + -5.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 521 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -425 - -607. Suppose 0*m + 7*m = j. Find the first derivative of 12 - m - 3 - 19*x wrt x.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:20 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13922?\nAnswer: 2, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 43297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 - 146*w**4 - 577*w**3\/4 + 437*w**2\/4 + 289*w\/4 - 145\/4 = 0 for w.\nAnswer: -145, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**3 - 4 - 435*d**4 + 2*d**2 + 436*d**4 + d**3 - 5*d**3 + 3*d - 3 to i*d**2 + c*d + n*d**4 + o*d**3 + j and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4947 - 4947 + 116*l**3 - 216*l**3.\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 888 and 13431?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of 779*k**4\/24 - 230*k**2 - 2*k. Let z(w) = -39*w. What is -2*x(t) - 41*z(t)?\nAnswer: 41*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i*q**2*s - 32*i*q*s + 3*i*s + 3*i - 3*s wrt q?\nAnswer: -4*i*q*s - 32*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 3:12 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:36 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**2\/2 + 3*x. Let g(w) = 5*w - 3. Let h(m) = 3*d(m) - g(m). Let l(s) = -s**2 + 5*s**2 - 2*s**2. Give l(h(v)).\nAnswer: 50*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-315) - 12\/90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/10)\/(2\/20). Let b = 21 + n. What is the remainder when 42 is divided by 2\/b - (-931)\/63?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - o, 2*i - 2*o = -2887 + 2907 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 4*m + 5. Let h = -8 + 3. Let r be a(h). Suppose -s + 3*s - 12400 = r. What is s rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 13. Let h be y(9). Suppose h - 41 = -5*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (5\/(-10))\/(5\/50)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/13 in -3, 5, 2\/5, 7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 23*p. Let c(x) = -15*x**2 - x - 3206. Calculate h(c(l)).\nAnswer: -345*l**2 - 23*l - 73738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1314096 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 69261848 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 135762\/161, -6 in descending order.\nAnswer: 135762\/161, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/272 and -91\/50?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 994471 to the power of 1\/2, to the nearest integer?\nAnswer: 997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 4 + 4 + 0*a**2 + 0*a**2 - a**3 + (2 + 2*a - 2)*(-a**2 + 0 + 0) + 2 + 30*a**3 + 19*a**2 + 27*a**3 - 55*a**3)*(37 - 3*a**2 - 37).\nAnswer: 9*a**5 - 57*a**4 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 20209551 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*4012.\nAnswer: 5215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 - 116.889. Let c = y + -0.110949. Round c to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + 8*m + 4. Let v be g(-5). Suppose -v + 1 = -p. Find the third derivative of 9*f**2 + p*f**2 - 30*f**2 + 7*f**6 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 1363 + 4*t**3 + 3009*t**2 + 1360 + 1347*t**2 - 2723 = 0.\nAnswer: -1089, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 279067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001100010000101 (base 2) to base 3.\nAnswer: -221021211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**3 + 8*t**2 - 64*t**2 + 3*t**2 + 53*t**2.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -26. Sort -3, a, -4, 4.\nAnswer: -4, -3, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = x - 2*u, -x + 2 = -u + 8. Sort 16, 2, x in increasing order.\nAnswer: x, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/16)\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8004*b**2*g**2 - 168*b**2 - 2*b + 1684416*g**2 wrt b?\nAnswer: -16008*g**2 - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v = -2961 - 2265. Calculate the remainder when v is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (792\/(-726))\/((-24)\/(-352)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 d, and 1 q when four letters picked without replacement from {q: 2, s: 4, d: 6}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -116*i + 125*i - 6300. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18876 and 8008.\nAnswer: 264264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243430 - -243435. Let v = 82 - 42. What is the greatest common divisor of x and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 6*r + 73*r - 158 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*i + 30 = 0, 14*l = 10*l - 3*i + 49. Suppose 3*u = -4*t + 27, 2*t - 3 = t. Solve 0 = 5*p - 3*a + l, -u*p - 4*a = -a + 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/6352 + -12649\/69872. Let h = -9\/26 - 2\/13. What is the third smallest value in -1, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*i + z, -i + 3 = -5*z - 7. Suppose 2*y + 16 - 3 = 3*t, 5*t + i = -4*y. Let n be 5 + (-40)\/(-5) + y. Solve n = 4*r - 6*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - 101101?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*z - 72*z + 477 = 0. Solve z*r = r - 2*l + 4, r - 5*l = 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60682072 plus 0.4?\nAnswer: 60682072.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245 - 125. Calculate the least common multiple of 10 and i.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15)*3)\/((848\/40)\/(-2))?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**3\/4 - 19343*h**2\/2 + 94297280*h - 14658516992 = 0.\nAnswer: 158, 19264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1732 and 217538.\nAnswer: 188387908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*i + 7*f, -4*i = 5*f. Suppose -4*y + 5 = 5*m - 7, 2*y + 4*m - 6 = i. Suppose -y - 8 = -h. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 140778, 2, -4 in decreasing order.\nAnswer: 140778, 3, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*s = -25, 0*d = 3*d + s - 13. Which is the third biggest value? (a) 2 (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 - -3?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 477 and 11658051.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14.768 + 411148549\nAnswer: 411148534.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -57312 != -57326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -324405 - 12?\nAnswer: -324417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/21440 and -59\/4480.\nAnswer: 300160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 - 7*x + 2. Suppose 0 = 3*n + c - 4*c - 6, 0 = 5*n + c - 34. Suppose 0 = -z - i - i + 14, z - 3*i = -n. Calculate s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b. Let q(i) = -3*i + 4*i - 7*i + 4*i. Give q(h(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 2*y - 721 - 9703, -5*y - 10421 = -2*l. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-50) - (-68)\/10. Let x = 19 + -11. Suppose l - x = -2. Solve l = -h*j + 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 10*p + 944. Let h = 234 + p. Which is greater: -11\/4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v - 15. Let a = -4819 - -4818. Calculate m(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -2*h**7\/105 - h**6\/30 + 8*h**5\/15 + 2*h**4 - 9*h**2 - h. Factor t(u).\nAnswer: -4*u*(u - 3)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -502 (c) 1 (d) 14 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s**2 - 189*s + 189*s.\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -209?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 6*w = 10, 11644*w - 11645*w = 3*o - 15. Let t = 280\/3 - 347\/3. Let b = t - -326\/15. What is the smallest value in -3, 8, b, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 138744 and 449688.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4404 and 133\/387552.\nAnswer: 387552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3765, 7550, 11335, 15120, 18905, 22690?\n\"Answer: 3785*q - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*c**6 + 34*c**5 - 3*c**4 - 17683*c**2 wrt c?\nAnswer: -960*c**3 + 2040*c**2 - 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t - 2070 + 6845 = -210*t for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 4*n**2 - 16*n - 22. Let p be b(-6). Suppose 4*v - 10 = 6. Solve p*c**3 + 3*c**2 + c**2 + 2*c**4 - 8*c**3 + 0*c**v = 0 for c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -239239*a. Let f(r) = 2*r. What is q(f(y))?\nAnswer: -478478*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2614001 and 0.2.\nAnswer: -522800.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.16 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4*j + 2*j)*(-5*j - 5 + 7 - 3)*(32 + 51 + 18).\nAnswer: 505*j**2 + 101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.058 (b) -0.23 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1643 + 1641 = 2*n. Put -20, 10, n, -3 in descending order.\nAnswer: 10, n, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -175\/32223126 and -63\/26852605.\nAnswer: 161115630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 576541 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: Let i(r) be the second derivative of -r**3\/6 - r**2 + 13*r - 1. Let c be 3 + 0 + -1 + -1. Let z = 1 - c. Determine i(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16196139 - -1993771.\nAnswer: -14202368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0. Let n = -0.25 + -4.75. Put n, t, 0.1 in decreasing order.\nAnswer: 0.1, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0 - 4 + 0 - 1 - 3 + 3 + 2 + (-5 + 5 + 1)*(2 - 5 + 4) + 4 - 3 + 1)*(4*v - 3*v + 4*v) to w + f*v and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018699 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(4)*2) + 5*(sqrt(20) + sqrt(140)\/sqrt(7)))\/(-6*(sqrt(2268)*1 - sqrt(28))\/sqrt(7)).\nAnswer: -7*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**4\/4 + 2*i**3\/3 + i**2\/2 + 56*i - 7. Let k be b(0). Let j = -34 + k. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -40. Suppose -6*i + 132 = -x*i + s, 4*s = 16. Calculate the remainder when 60 is divided by i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + s**2 + 18*s + 10. Let q be (-162)\/(-81)*(-6)\/4. Give l(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -7, -5.\nAnswer: -7, -5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.73 - -80.27. Let f = m + -80.5. Which is the third smallest value? (a) -2 (b) f (c) 0.08 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16 + 36 - 102) + 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2 = -5*j. Suppose 3*b + 42999994 = j*y, -5*b - 72152721 = -3*y - 7652731. Round y to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 9*j**2 - 2*j + 25. Let b(o) = -o**3 - 5*o**2 + o - 13. Let i(w) = -2*a(w) - 5*b(w). Let x be i(7). Solve x*s = 3*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/231053696 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i**2. Let q be s(1). Let d be (-3)\/q*12\/(-27). Let p = 3.4 - -0.6. Which is the closest to 0.1? (a) p (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n - 106\/105*n**7 + 0*n**6 + 1\/3*n**3 + 3\/4*n**4 - 164*n**2 + 0 + 0*n**5. What is the second derivative of j(w) wrt w?\nAnswer: -2544*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104757, 104712, 104671, 104634, 104601?\nAnswer: 104572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 129137585 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-845)\/(-4) - (11 + 423\/(-36))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 30679 - 30701 = 0 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*g = 2*s - 23, 0 = s - 2*g + 8. Let f = 6 - s. What is the least common multiple of 632\/72 + (-8)\/(-36) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -219478?\nAnswer: 21947b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -46529 less than -651393\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssspssss. Give prob of picking 2 s.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/8*-2 - (-4564)\/112. Suppose 8*v = -7 - c. What is the remainder when 89 is divided by 17 + 2*(2 + v\/4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a1a4 (base 13) to base 5.\nAnswer: -1203043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i + 12. Let o(q) = q - 1. Let l(u) = 12*o(u) + r(u). Let t(g) = -g. Calculate t(l(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -266, -0.9, -5, 2\/7.\nAnswer: -266, -5, -4\/3, -0.9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 207, 500, 975, 1620, 2423, 3372, 4455, 5660?\nAnswer: 6975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {x: 1, s: 2, w: 1, v: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12*(27\/12 + -2 - 2). What are the prime factors of (-54)\/(d\/6 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2 - 684928*c + 29320397824 = 0. What is c?\nAnswer: 85616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11, -7 in decreasing order.\nAnswer: 11, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/13))**(-34\/5) assuming g is positive.\nAnswer: g**(68\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -2\/7 (c) -6 (d) -4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -55\/36 - -1\/36. What is the closest to 1\/4 in -4, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**4 - 1286748*r**3 + 14154054*r**2 - 43748732*r + 30881424 = 0. What is r?\nAnswer: 1, 4, 6, 643363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2750538 and 191898?\nAnswer: 8251614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4617*p**2*r - 34*p**2 - p*r**3 - 2*p + 45 wrt r.\nAnswer: 4617*p**2 - 3*p*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1639205.8 + -1.95?\nAnswer: -1639207.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18401, -18383, -18365?\nAnswer: -18347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265225*y**3 + 132544*y**3 + 132684*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16221, -16221, -16213, -16191, -16149, -16081, -15981, -15843?\nAnswer: -15661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 less than 3\/619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82687197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q - 1 + 1)*(-3*q - 3 + 3) - 4*q**2 + q**2 - 2*q**2 - 4*q**2 + 2*q**2 + 3*q**2)*(187 - 187 + 115*q + (4 - 1 - 4)*(1 - q - 1)).\nAnswer: -1160*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82692180 to the power of 1\/2, to the nearest integer?\nAnswer: 9094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(209) + ((sqrt(209) + sqrt(209)*1 + sqrt(209))*-1 - sqrt(209))))\/(sqrt(99)*-2 - sqrt(44)\/sqrt(4)*1)*-3.\nAnswer: -36*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 3*n - 2. Let l be u(-5). Let y be 4\/l + 6\/4. What is the third derivative of 0*f**2 + 3*f**2 - 4*f**y - 2*f**4 wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(84) - sqrt(21))\/sqrt(7)) + sqrt(3) + -4 - ((sqrt(18)*1)\/sqrt(6) + 1 + sqrt(27)))**2.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4478860 and -93\/74960.\nAnswer: 17915440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 2*p - 1. Let u be c(-1). Let z = u - 3. Let j = 1 + z. Solve j*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2. Let p(x) = 384*x**2. Determine l(p(d)).\nAnswer: 737280*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, -0.4, -2\/13, -2693.\nAnswer: -2693, -4, -1, -0.4, -2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 159, 165, 175, 189, 207?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -1677775?\nAnswer: 1677782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377543.\nAnswer: 377543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 53*j**2 - 2264*j - 139. What is q(81)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 302143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**3\/6 + 89*y**2 + 3011*y. Let k(m) = m**2. Give k(q(s)).\nAnswer: s**2 + 356*s + 31684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/8 - 11*r**2\/8 + 15*r\/4.\nAnswer: r*(r - 6)*(r - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159940 is divided by 39931.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:29 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 25*s + 4168 = 0. Let j = -1246 + s. Round j to the nearest 10.\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 + 78 - 44 - 158 + c - 2*c to the form s + k*c and give s.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 18 - 7. Let l = 7 + -3. What is the second derivative of -56*z - t*z**l + 46*z - 3*z**4 wrt z?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/36)\/((-16)\/(-72))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -2. Suppose 2*v - 40 = 2*g - r, 5*v - 3*g - 65 = 0. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*n = 5*n + 14, -s = -5*n - 29 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m = -71*m - 476. Calculate the highest common factor of 1275 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1187646750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 - 2016\/(-216). Solve -5*f - w + s = -9, -3*f + 29 = 5*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(-3)\/6*5. Let h = 7 - 4. Let k(n) = 3*n**2 + 2 + n**3 + h*n**2 + n - n**2. Calculate k(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809006463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 8. Suppose 1 = -5*m + 4*d + 4, v = 5*d - 15. Solve 5*o = -4*q - 20, m*q - 2*o + 15 = 2*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4870 (b) -371 (c) -0.2 (d) 0.11 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/14 - 13\/(-13). Let z = 3 + -2.7. Let y = -1877 + 9388\/5. Which is the biggest value? (a) s (b) z (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20*(-4)\/(-8) - (-8)\/2. What is the highest common divisor of 49 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/139378 and 25\/12438.\nAnswer: 866791782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, o: 17}. What is prob of sequence ojoo?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 19040*n**2 + 1454305*n + 1473350.\nAnswer: 5*(n - 3730)*(n - 79)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, 1 s, and 1 x when four letters picked without replacement from {q: 10, x: 4, u: 4, s: 1}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 20*x - 1. Let v be u(1). Suppose 3*t = t + 4*y + 72, 5*t + 3*y - 193 = 0. Calculate the highest common divisor of v and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 314768 by -3.\nAnswer: -314768\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 29*v. Let w(y) be the third derivative of y**4\/24 + 6*y**2. Give g(w(b)).\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 123397.01287053?\nAnswer: -123400.01287053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1396740679 is divided by 791.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. List the prime factors of (2\/x)\/(2\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - z**2. Let n be y(1). Suppose 0 = -n*r + 4*r + 112. Does 6 divide (12\/14)\/((-2)\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(1175*c - 1175*c - 6694*c**4 - 14072*c**4) to m*c**3 + g*c**2 + r*c**4 + z + n*c and give r.\nAnswer: -20766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 118.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 31*f**2 + 67*f - 33. Let i be y(33). Let k(l) = 2*l**3 - 2*l**2 - 4*l + 2351. Is k(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 47*x + 46. Let j(u) = -20*u + 80. Let k be j(5). What is the hundreds digit of c(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 6 + 20. Let v = 18 - x. Suppose v*t + 3614029 = 164029. Round t to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (0 + -5 - -2). Suppose 0 = -2*u + 15 + h. Suppose d = 3*t + u, -4*d + 5*t + 25 = -2*d. Solve 0 = d*p - 2*p - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (5*(4*1*sqrt(88) - sqrt(88)))\/(sqrt(24)\/((sqrt(24) + sqrt(120)\/sqrt(5))\/sqrt(8) - sqrt(3))))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76153721?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:07 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 + 26 + 111*l + 212*l + 3*l**2.\nAnswer: 3*l**2 + 323*l + 73","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/30009 or -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 975062977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -898 times -2495?\nAnswer: 2240510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*z + 3, -622 = -26*y + 4*z - 596 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 7 - 23. Let b be 4\/12 + z\/(-6). What is the third derivative of 0*p**5 - b*p**2 - 2*p**5 + 3*p**2 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 815584\/44 + (-1 - -6) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -55*f - 8 - 49*f + 106*f. Calculate d(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19433 + -19424. Suppose -124 = 2*u - 5*u + 4*n, -n - 112 = -3*u. What is the highest common factor of m and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umd when three letters picked without replacement from {u: 4, m: 1, d: 6}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2. Let v(s) = -2*s**2 + 5. Let g(p) = -p**2 + 2. Let i(t) = -15*g(t) + 6*v(t). Give r(i(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5709365 centimeters to kilometers.\nAnswer: 0.000005709365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -75*n**6\/2 + n**4\/2 - 62*n**3 + 253. Find the third derivative of g(t) wrt t.\nAnswer: -13500*t**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4\/3 + u**3 - 25*u**2\/3 + 2*u.\nAnswer: u*(u - 2)*(u + 3)*(4*u - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48689 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 265832016.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 40, -3\/4, -2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -2, 24, 70, 142?\n\"Answer: r**3 + r**2 + 2*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of 67*f**6\/8 + 69*f**5\/4 + 404*f**2. What is the third derivative of c(p) wrt p?\nAnswer: 6030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 17320, -0.048, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**2 + 216*t - 6*t**3 + 9*t**3 - 216*t.\nAnswer: 3*t**3 + 50*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-two fifths of a gram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 144905 = -9*b + 7*b, 2*b + 10 = 0. What are the prime factors of o?\nAnswer: 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4 = 4*f, y + 1 = 2*f + 2. Suppose -2*i + 4*n - 106396 = f, -3*i - 6*n = -n + 159605. What is i rounded to the nearest 1000?\nAnswer: -53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - 320*v - 4628. Let j(m) = m**2 + 2*m + 2. Calculate the remainder when j(-5) is divided by k(-61).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 168*i**2. Let d(m) = -13689*m. Give d(h(g)).\nAnswer: -2299752*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-926*n**3 + 172*n**3 + 245*n**3)*(-4 + 3 - 3)*(2 - 2 - 1) to the form g*n + v*n**2 + f*n**3 + u and give f.\nAnswer: -2036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 17\/(-2)) + (-2)\/(-4). Let u be ((-9)\/c)\/((-4)\/48). Differentiate u - 1 + 0 - 10*z + 2 wrt z.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23341\/7 + 346787\/104. What is the common denominator of -131\/624 and y?\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/5 + (-133)\/35. Let q(x) = -x**3 - 4*x**2 + 2. Let k be q(-3). Let j = n - k. What is the closest to -0.2 in -5\/6, j, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/11 + 398782*g\/11 - 13954920\/11 = 0.\nAnswer: 35, 199356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 15.2. Which is the third smallest value? (a) 4 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 53 = 5*r, 5*r - 7 = 4*r - 3*n. Let w(m) = -2*m**2 - 2*m - 2. Let i(x) = -x**3 - 5*x**2 - 5*x - 5. What is r*w(k) - 4*i(k)?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d + 8*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -118, -245, -370, -493?\n\"Answer: a**2 - 130*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 927970 and 1484752?\nAnswer: 7423760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5497642 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -7, 4, 5 in decreasing order.\nAnswer: 5, 4, 3, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5703\/4 + 1426. Let r = 4 - 4. What is the closest to r in 2\/9, 0.5, d?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81935, -82196, -82473, -82772, -83099, -83460?\n\"Answer: -i**3 - 2*i**2 - 248*i - 81684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/756)\/(72\/(-224)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9506*-761.7.\nAnswer: -7240720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 + 3*h - 14. Let b be j(7). Calculate the greatest common factor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqssq. What is prob of picking 3 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -12. Let t = 4 + -8. Put t, k, 1 in increasing order.\nAnswer: t, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -79. Calculate the greatest common divisor of 132 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/(g*g**(-1\/6)*g)*g**(9\/4) assuming g is positive.\nAnswer: g**(41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 281*r**2 + 282*r**2 to z + g*r**2 + a*r and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -22a - 4?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 81*f + 1622. Let u be j(-20). Factor -1\/2*a - 3\/4*a**u + 0 + 0*a**3 + 1\/4*a**4.\nAnswer: a*(a - 2)*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12582182 at most -12582183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -1\/2*x**2 + 0 + 1\/20*x**5 + 2*x + 2\/3*x**3 + 5\/12*x**4. Give o(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2593 is divided by 1131?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.933 + 25088138225.3.\nAnswer: 25088138227.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**2 - 29*z. Let c(b) = 5*b**2 + b. Let s be c(1). Let q(p) = p**5 + p**2. Let m(d) = s*q(d) - f(d). Find the second derivative of m(r) wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(z - 2 + 2) - z + z - 4 + 2*z.\nAnswer: 3*z - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4796*c + 718. Does 57 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 477, 961, 1453, 1953, 2461, 2977?\nAnswer: 3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33669722?\nAnswer: 2, 1439, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 631 + b - 744*b**2 + 675*b**2 - 260.\nAnswer: -69*b**2 + b + 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 10011010?\nAnswer: 10100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12798172 to the power of 1\/2, to the nearest integer?\nAnswer: 3577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 28\/109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of z**8\/168 - z**6\/24 + z**5\/15 + z**4\/12 + 6*z**2 + 2*z. What is the third derivative of p(r) wrt r?\nAnswer: 120*r**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 4*k + 4, -2*c = k - 7 + 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 330 = -14*a - 17*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -599 - -397. Let c = q + 265. What is the remainder when 247 is divided by c?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*165\/(-11). Let d be 75\/s*(-1)\/(-9). Which is the nearest to 0.2? (a) -0.4 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59903208 to the power of 1\/2, to the nearest integer?\nAnswer: 7740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 20. Suppose -4*x - 427 = x - k*o, -3*o + 261 = -3*x. Let t = x - -258. Calculate the greatest common factor of t and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25880 and 98?\nAnswer: 1268120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*q - 1390 = 99*q - 244*q + 830*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 1*(-1)\/((-3)\/(-3)). Let u(o) = -5 + 164*o - m + 11. Is u(1) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1452) + -5)**2*2.\nAnswer: 1320*sqrt(3) + 26186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v + 5*m = 14, 0 = v + 5*m - 23. Suppose -9 = v*u - 12. What is the highest common divisor of 4 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c + 6*c - 2*c)*(24 - c - 44 + 23) in the form u*c**2 + g + t*c and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -71, -105, -139, -173, -207?\nAnswer: -241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 6*v**3 + 30*v**2 + 2*v + 18. Let q(o) = 8*o**3 + 29*o**2 + 2*o + 22. Give 5*f(t) - 4*q(t).\nAnswer: -2*t**3 + 34*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**4 - k**4 + 0*k**4 - 195*k**4 + 103*k**4 + 107*k**4 - 2*k + (-k + 2*k + 0*k)*(-4*k**3 - 3*k**3 + 2*k**3).\nAnswer: 6*k**4 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -524436.962 + 529416.90311. Let x = 4980 - r. What is x rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -203, -190, -177, -164, -151, -138?\n\"Answer: 13*s - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(56)\/sqrt(8))**2 - sqrt(7)) + -3 + sqrt(7)*-1.\nAnswer: -24 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/37 + -134\/259. Sort y, -2\/7, -0.5 in increasing order.\nAnswer: y, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 10*p**2 - 8*p - 4. Let a be w(9). Suppose -a*h = 3*l - l - 25, -5*l + 71 = 4*h. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 905 + -895.74. Let c = 9.219 - m. Let d = -8 + 5. What is the nearest to 0 in -1\/7, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-1)*-4*(-22)\/1848\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g. Let h(l) = 2844*l**2. What is h(d(p))?\nAnswer: 182016*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.05, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -119 + 312. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 55 = 6*v - 3*o, o + 96 = 2*v. Let m = -47 + v. Suppose h + 67 = m*k - 249, k = 4*h + 151. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10042*o - 227800 = 43334 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1049 - 14696\/5245. What is the common denominator of p and (-15)\/(-50)*29\/(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328830151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 9348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -110100?\nAnswer: 110012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 72\/11921677?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(180))**2 + -1 + (-4*(4 + sqrt(180)))**2.\nAnswer: 828*sqrt(5) + 3340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 107412031 and 18.\nAnswer: 107412049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.17 - -0.2. Let h = -0.97 - d. Which is the closest to h? (a) -4 (b) 5 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j - j. Let p(t) = 2*t - t + 1 - 5 - 3*t**3. Let z(u) be the second derivative of u**5\/10 - u**3\/6 + u**2 - u. Give j*p(k) - 5*z(k).\nAnswer: -k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88838977289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 1:41 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/3 - 21*o**2 + 1540*o\/3 - 492 = 0.\nAnswer: -82, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - h + 3*h. Let a(i) be the third derivative of -i**4\/8 - 12*i**2. Determine r(a(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40411556?\nAnswer: 2, 19, 531731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t + 52. Let r(c) = c - 13. Let g be r(t). Suppose g = -12*a + 4*a + 840. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26.94 and -16.005.\nAnswer: 431.1747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, 47508, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 - 0.01. Let m = -2.02 + 0.02. Which is the smallest value? (a) -1\/2 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 4*h + 730 - 4292, -2*f + 4 = 0. List the prime factors of h.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80*g + 1 - 1 + 618*g - 181*g in the form z*g + y and give z.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(380) + (-2*sqrt(380) - sqrt(380)))*1)\/((sqrt(90)*-1 - sqrt(90))\/sqrt(9)))\/(4*(sqrt(2) + sqrt(10)\/sqrt(5))*-2*5).\nAnswer: -sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25096 - -25114. Is 5\/7 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.25.\nAnswer: 0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -9, 17, 1, 5, 448, -5 in decreasing order.\nAnswer: 448, 17, 5, 1, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*0\/1. Solve 2*m + 5 - 13 = t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1330 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -51\/981625?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1218840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11751 to three decimal places.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-3) + 5\/(-15). Suppose h = 2, 121 = n*w + 5*h - 145. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9 + 4 = 0. Suppose -3*c = b*j + 2*c - 790, c + 627 = 4*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1400 (base 5) to base 13\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1527 + 1527. Let z(q) be the second derivative of 1\/2*q**2 - 6*q + h. Let r(c) = -c + 5. Calculate r(p) - 3*z(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-13)\/f)*f)*f\/(f*f**(-3\/10)*f))**(-29))**(-33\/5) assuming f is positive.\nAnswer: f**(-150249\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2))\/((-1)\/(-18)). Let y be 5 - 52*(-3)\/(-12)*41. Let u be 18\/w + y\/14. Put -1\/4, 2\/5, u in decreasing order.\nAnswer: 2\/5, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46 * 705.\nAnswer: -32430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -24.6145903?\nAnswer: -24.8145903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 13*d + 1. Let a = 12 + -11. Let y be i(a). What is the units digit of 5\/((-54)\/y - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**3 - 28*p**3 + 4*p**3)*(13*p + 18*p + p) - 2*p**3 - p**4 + 2*p**3 as q*p + k*p**4 + m + c*p**3 + a*p**2 and give k.\nAnswer: -737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -89. Suppose v + 373 = 3*d, -t*d + 5*v = -4*d + 260. Is d a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 10:05 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8 - 9*k + 3*k**2 - 4*k**2 + 0*k**2. Suppose 8 = d + 3*m, 8*m - 6*m = 5*d + 45. Calculate f(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 773622 + 0.2?\nAnswer: 773622.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -18.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126973749 = 319*j - 69211251. Round j to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*d - 5*q, 0*q + 3 = -3*d + 3*q. Let c(r) be the first derivative of -4*r**3\/3 + 2*r**2 - 1. Let l(n) = 3*n**2 - 3*n. Give d*l(m) - 2*c(m).\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 309*p**3 - 770*p**3 + 47*p**3 + 304*p**2 wrt p.\nAnswer: -2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1151128 or -1151130?\nAnswer: -1151128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 11. Let v(t) = 106*t**2 - 3*t - 1. Let f be v(g). Suppose 3*y + 688 + f = 0. Round y to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63668 and 576554.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2298*r + 714*r**2 - 2298*r - 15 + 15 as b*r + h*r**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let v(f) = -2*f + 6. Let j(w) be the first derivative of w**2\/2 - w - 1396. Give z*v(l) - 3*j(l).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1906*d**2*f**2*o - 778*d**2*f*o**3 + 8*d*f**2*o**3 + 2*d*f**2*o**2 - 66347*d*f**2*o - 2*d*o**2 + d*o + f*o**3 wrt d?\nAnswer: -3812*f**2*o - 1556*f*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.935579um in kilometers?\nAnswer: 0.000000009935579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 25\/12*i**4 + 19\/20*i**5 + 2*i**2 + 0 + 10*i + 1\/42*i**7 + 8\/3*i**3 + 7\/30*i**6. Factor z(n).\nAnswer: (n + 1)**3*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -4, 48, -1\/4 in descending order.\nAnswer: 48, 3, -1\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/19 (b) 6 (c) 2 (d) 0.06738371\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*c = -20. Let z be (12\/7)\/(c\/(-14)). Let w(v) = 8*v - 6. Calculate the common denominator of w(z) and -64\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:08 AM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29892 or -29894?\nAnswer: -29894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9746615ng in milligrams?\nAnswer: 0.0000009746615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74936.15 grams to micrograms.\nAnswer: 74936150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 2*k**2 + k + 1. Suppose 2*z - 2*x + x = -13, 0 = -4*z - x - 17. Let c be -6 - -3*z\/15. Let l = 6 + c. Calculate a(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6 - 7\/(-2). Suppose d = -2*u + 16. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1. Let d(u) = -4*u**3 - 4. Suppose -4*q = -2*p + 12, -4 = -2*p - 4*q - 0*q. Calculate p*i(f) + d(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431*i**3*k**2 + 327*i*k**2 wrt i?\nAnswer: 2586*i*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 34*v**2 - 8*v + 43. Let w be j(-11). Suppose 8*z + 4 = 6*z, -18 = -2*t - 4*z. Solve 0 = -t*b + w*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 382401550 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -4. Let i = 317\/6 - 3649\/66. Let q = i - -28\/11. Is w greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 1171 + 1240 = 0 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216641863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37088904 or -37088905?\nAnswer: -37088905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-4)\/18 - 32\/48. Solve 20 = -5*m - y*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -3120310420?\nAnswer: 3120310422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 19 = 3*t, 3*u + 14 = u + 2*t. Let g(d) = d + 9. Let z be g(-7). Let l be (-8 + 4\/z)*51\/34. Sort l, -4, u in increasing order.\nAnswer: l, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 - 4*i + 7. Let w(v) = -8*v + 4. Let n be w(-3). Suppose -n = 3*q + q. Let z(o) = 3*o + 0*o - 1 - 3*o**3 - 1 - 3. Determine q*z(c) - 5*d(c).\nAnswer: c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 5. Suppose 17 + 33 = -5*x. Let p be j(x). Suppose 0 = p*w + 2*k - 83, -k - 4*k = -5*w + 55. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4100000 = 5*x. Round x to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = o - 4*x, -5*o + 2*o - 4 = -2*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 5*a**2 + 10*a - 9. Let j be y(6). Let g = j - 16. Let q(i) = 11*i. Let d(l) = -76*l. Let v(m) = 3*d(m) + 20*q(m). Determine v(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -3\/2*n**2 + 0*n**3 + 1\/10*n**5 + 0 - 4*n + 0*n**4. What is the derivative of t(c) wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1532.\nAnswer: -153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 996.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 - 7\/(21\/(-66)). Suppose 33 = 11*n - q. Suppose -1 + 29 = 4*v - 4*b, -10 = n*v + 4*b. Solve -2 = -v*x + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.135*-20.483\nAnswer: -2.765205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 13*x - 30. Let z be g(9). Suppose t - z*t + 475 = 0. Which is bigger: 93 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3346 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 22 = m, -7*m + 6*m = -3*c - 14. Solve m*b + 2*o + 14 = 2, 1 = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 177270453 and 2070.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 38 - (108 + 15 + -100).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -59632\/5 + 11999. Which is greater: 74 or j?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 112. What is the derivative of -25*y**4 + 17 + 21 - b wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a. Let q(k) = 12*k + 2052. Give z(q(x)).\nAnswer: -12*x - 2052","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 342751262 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -17. Let n = b + -2. Solve -3*z - 5 + 2 = n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1 + -4 + 21\/(-28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2468 and 164972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m**2 + 30*m + 41. Suppose 0 = -2*q - p - 36, -11*q - 4*p - 59 = -8*q. Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 9*j - 8. Determine k(-12).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 + -22. Let m = 25 - s. Suppose 6*a - 3*f = a + 190, 2*a - m*f - 95 = 0. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/176, 341, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 195e + 3c0cc?\nAnswer: 3da3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.692 and -4816.\nAnswer: 3332.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4557\/3255 - 3\/(-10)*-78\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + 1 - 1 + (10*b - 2*b - 9*b)*(-3 + 2*b + 3) + ((-4 - 1 + 4)*(-4 + 0 + 2) - 3 - 3 + 0 + 4 - 2 - 1)*(-6*b**2 + 3*b**2 - b**2).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 - a**2 + a - 1. Let f be j(1). Suppose 18*t = 124 - 88. Solve 1 = -2*g + n, -3 = -t*g + 3*n + f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 47 = 33 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -10*y - 107. Let z(d) = -10*d**3 + 16*d**2 - d - 14. Let h be z(0). Calculate n(h).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.9. Let z = 0.4 - h. Let q = 0.2 + 0. Put z, 3, q in increasing order.\nAnswer: q, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639555729 to the power of 1\/3, to the nearest integer?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2871 = 174*q + 1479 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146575 by 29315.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)\/((s*(s*s**(-2\/7))\/s)\/s)*s**(-3)*s\/((s\/(s*s*(s*(s*s**10*s)\/s)\/s))\/s) assuming s is positive.\nAnswer: s**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14165, 59516, 135099, 240914?\n\"Answer: 15116*f**2 + 3*f - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2813205, -2813336, -2813553, -2813856?\nAnswer: -2814245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(84)\/(sqrt(192)*-6) + sqrt(63) + 0 + sqrt(2268) + sqrt(2268)) + -4.\nAnswer: -4 + 935*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5330 - 1569. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 4*a**3 + 262*a**2 - 966*a = 0.\nAnswer: -69, 0, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13765 = 37*g - 13099 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 244\/10 + (-10)\/25. Suppose -f = -4*f + a. Let p = -4 + f. Solve 2*b - p*c = 0, -3*c = -b - b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5481, -43823, -147943, -350745, -685133?\nAnswer: -1184011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.7, 4, -115, -5, 2\/17, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1142 divided by 3\nAnswer: -1142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-10))\/(-2)*125\/(-25).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 84*p + 63. Does 118 divide u(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1765.5 - 1765. Which is the closest to -700? (a) m (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -44 + 44. Let t(s) = s**3 + s**2 + s + 5. Let r be t(q). Solve -8 - 16 = -4*k + 2*c, -r*k = 5*c - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 - w**3 - 3*w**2 + w**2 + 6*w**3 + 10*w to n*w + m*w**3 + z*w**2 + l and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11335*k**2 + 5937*k**2 + 5396*k**2 + 0.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, 1535, -3, 11, -82 in descending order.\nAnswer: 1535, 11, 5, 1, -1, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/160 and -23\/168.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3))**(-30)\/(j\/(j*(j*j*j\/(j**(-1\/4)*j))\/j*j))**(12\/13)*(j\/(j*(j*j**(-1)*j)\/j))**(10\/7)*j**(-2\/5)*j**(-4) assuming j is positive.\nAnswer: j**(499\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 40, -2\/11 in increasing order.\nAnswer: -2\/11, 0.1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -326*s + 324*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.4, -0.1, -0.3, 198?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u**2 - 4*u)*(40 - 40 - 10*u) + 0*u**3 - u**3 + 3*u**3 - u**3 - 3*u**2 + 3*u**2 + (3*u - 3*u - 2*u**3)*(-1 + 2 + 0) + 0*u + 0*u - 2*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 16) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/105 and 95\/2557278.\nAnswer: 89504730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 5*s**2 + 3*s - 3. Let a = -5 - -2. Calculate the lowest common multiple of 16 and c(a).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 4\/2 - -103. Suppose d - 4*d + a = 0. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.453322 millennia?\nAnswer: 845.3322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**3 - 127*s**2 - 84*s - 56. Determine a(43).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1790544*a**3 - 75*a - 8619?\nAnswer: 10743264*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from fjqnqnndfnqddqqqq?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**3 - 19*w**2 + 8*w - 12. Let t be b(6). Solve t = 5*o - 28 + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 141.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -43*c**2 - 27*c + 9. Let u(j) = 105*j**2 + 68*j - 22. Give -12*n(y) - 5*u(y).\nAnswer: -9*y**2 - 16*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 6*h**2 - 6*h - 3. Let l = -60 + 55. Let q be a(l). What is the greatest common divisor of 16 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v + 12. Let k(q) = 7*q**2 + 0*q**2 - 857 - 36*q + 438 + 430. Let l be k(5). Determine g(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.05 (b) 0.39 (c) 4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -0*u + u - 3*v + v - 7, -2*u + 3*v = 3*u - 21 for u.\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) 5 (c) -21 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -215*u + 135. Let b = 451 + -442. Let h be k(b). What is h rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from {k: 1, n: 6, a: 2, m: 3}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 1)*(-1 + 3 - 1)*(-3*f**3 + f**3 + 3*f**3).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 248*s**2. Let j(c) be the second derivative of -c**4\/3 - 196*c - 20. Determine j(a(q)).\nAnswer: -246016*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -680926960 + 0.08.\nAnswer: -680926959.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:18 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 65047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -80*f**2 - 680*f - 1445 = 0?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63462703\/6434295 + 12811\/1315. Let s = u - -6\/233. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(112) - (-2*sqrt(112) + 5) - ((0 + sqrt(112))*-4 - sqrt(112))))**2.\nAnswer: -640*sqrt(7) + 7268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 19*w - 27. Let g(o) = -o**2 - 17*o + 24. Let b(l) = 9*g(l) + 8*m(l). Let k(c) = -18*c. Determine b(k(j)).\nAnswer: -5508*j**2 + 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 97526, 97628, 97900, 98426, 99290, 100576, 102368, 104750?\n\"Answer: 14*z**3 + z**2 + z + 97510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -7, 21, 67, 137?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 14584297*x - 50732. Let c(d) = -2300*d + 8. Give -12683*c(o) - 2*j(o).\nAnswer: 2306*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 203\/12 + -81\/4. Let n be (2 - 0 - -1)\/(-1*1). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -284*g - 7601. Calculate m(-27).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than 176032\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81444365 divided by 16288873.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 - -40.4. Let n = g - -16. What is the third smallest value in 5, n, -2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 700 - 703. Let t(z) = -13*z - 4. Let b(p) = 14*p + 5. Give c*t(l) - 2*b(l).\nAnswer: 11*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -2*q**3\/39 - 60*q**2\/13 - 1800*q\/13 + 3. Factor x(h).\nAnswer: -2*(h + 30)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1396, -1360, -1316, -1258, -1180, -1076, -940, -766?\n\"Answer: t**3 - 2*t**2 + 35*t - 1430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5059*z + 102 + 17 + 1.\nAnswer: -5059*z + 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 367796 plus 0.39?\nAnswer: 367796.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/6*(-5)\/25*6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -740, -871, -1030, -1217, -1432, -1675, -1946?\n\"Answer: -14*q**2 - 89*q - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = -2*n. Suppose -4668*w + 26 = -4655*w. What is the greatest common factor of w and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1369 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789451042?\nAnswer: 2, 394725521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8416663 years?\nAnswer: 0.008416663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1822, -1825, -1828, -1831, -1834?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(11643*x - 244*x**3 - 11643*x).\nAnswer: -244*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2030.4 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/v**(-3))\/v)*v*v*v*v**(4\/5)*v)\/(v**(-1)\/v)**(-13) assuming v is positive.\nAnswer: v**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1325 and 122009975?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 11*q. Let x be (-5)\/(15\/(-18)) - -2. Let p be -1 - -2 - 4\/(-4). Let r(s) = x*s - p*s + s. What is -5*h(b) + 8*r(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15537 is divided by 2072.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(-22)*(-2)\/1. Let d be (22 - 25)*(-1)\/u. Let f(b) = 4*b**3 + 2*b**2 - b - 1. Let w(v) = -v**3 - v**2 + 1. Calculate d*f(q) - w(q).\nAnswer: -3*q**3 - q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3227595 + -10?\nAnswer: -3227605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(343))**2.\nAnswer: -42*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 6. Let q = g + -3. Solve y + 4*y + 13 = q*o, 0 = 3*y + o + 19 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.44 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - 3. Let f = -2 - -2.2. Let a = 2 + -2. What is the nearest to a in y, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = 2*v + v, u = 5*v - 8. What is the first derivative of b**4 - b**4 + 2 + u*b**4 - 5*b**4 wrt b?\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -675, -708, -751, -810, -891, -1000?\n\"Answer: -j**3 + j**2 - 29*j - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 19*p + 90. Let m(z) = 2*z**2 - 11*z + 5. Let n be m(7). What is the units digit of f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*g = 245*g. Suppose g = 27*x - 4542 - 12549. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 3*t + 1. Let c be n(-4). Let a(l) = -l**3 + 107*l**2 + 197*l + 2289. Let s be a(109). Solve 9 = 3*j - 2*d, c*j + 2*d - 15 = -s*d for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 12. Suppose -2*z + 330 = z + 4*l, -3*l + 110 = z. Let a = 128 - z. Calculate the remainder when x is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/6270*22937\/23. Let b = h + -1\/4370. What is the common denominator of -39\/8 and b?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/1172 or -0.02?\nAnswer: 9\/1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8656116 - 8656116 + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 20547?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 80388590.8 to the nearest ten thousand.\nAnswer: 80390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03 and -0.1348?\nAnswer: 0.004044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/5 + 18 + 6 + (-429)\/(-55)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**14*o*o*o)\/o)\/(o\/o**(-11)))**(-21\/5))**(1\/39) assuming o is positive.\nAnswer: o**(-28\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2 + 232*c\/3 + 5035\/3 = 0. What is c?\nAnswer: -53\/3, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 2080.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3\/22, -1114, 3\/8 in descending order.\nAnswer: 1, 3\/8, -3\/22, -1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 56, 108, 202, 350, 564, 856?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 3737\nAnswer: -2\/3737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpr when three letters picked without replacement from wprpprr.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a millennium?\nAnswer: 69600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -73489, -73491, -73493, -73495, -73497, -73499?\n\"Answer: -2*s - 73487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2761 + 2762. Let b = 5.5 - 5. What is the nearest to 4 in b, -2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 2*z + z)*(131 - 43 - 50).\nAnswer: 114*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -0.02?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -130*m**2 + 795*m - 90 = 0?\nAnswer: 3\/26, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -444.03, -4\/21, -8 in descending order.\nAnswer: -4\/21, -8, -444.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1246, -1241, -1234, -1225, -1214, -1201?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -111 + -13?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 15*i - 69. Give k(-11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5 times 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Let p be (1\/2)\/(k\/50). What are the prime factors of (2 - p)\/(3\/(-10))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2447590879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 8*l**3 + 4 + 17*l**3 + 2*l**4 - l**2 + l**3 + l - 3 to the form c*l**3 + y*l**2 + i*l**4 + a + t*l and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119407*p**3 - p**2 - 8*p + 1472 wrt p?\nAnswer: -716442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.1? (a) -0.4 (b) 49 (c) 1\/3 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/7, -3\/22, -0.03 in ascending order.\nAnswer: -5\/7, -3\/22, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07572*89.\nAnswer: -6.73908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*(-12)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 - -12324?\nAnswer: 12112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 3*x + 2 + 2*x**2 + 0*x + 2. Calculate the least common multiple of n(3) and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1146 - 365 - 498)*(-3 + 1 + 1)*(3*b**5 - b**4 + b**4).\nAnswer: -849*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -540*j**5 - 4704*j**4 - 11564*j**3 - 4968*j**2 + 2304*j - 128 = 0. Calculate j.\nAnswer: -4, -1, 1\/15, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2 + 24*x + 14. Let i(h) = h**2 - 12*h - 7. Let o(v) = 9*i(v) + 4*k(v). Let j be o(13). Let n be 189\/15 + j\/15. Which is smaller: n or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 + 7*f - 13. List the prime factors of x(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/6*(85 - 4 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-294)\/(-28) + 2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -15*x**3 + x**2 + 3*x + 9. Let d(a) = 3*a**3 - 1. What is 6*d(j) + g(j)?\nAnswer: 3*j**3 + j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/6933 + -353599\/55464. Let f(z) = -4*z**2 - 3*z + 4. Let u be f(-3). Calculate the common denominator of u*(-4)\/(-36) - -1 and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 - 6*a + 106. Let c(q) = -q**2 + 2*q + 6. Calculate -6*c(p) - w(p).\nAnswer: -p**2 - 6*p - 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 4645*a - 523045. What is i(110)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 15.903?\nAnswer: 111.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 174641000 rounded to the nearest 100000?\nAnswer: 174600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*u + 76, 2*v + 16 = -2*v. Calculate the greatest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 23*a + 19*a + 244 = 0, 3*a - 26 = -2*l + 98 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 3, -2*t - 333271 = 2128*m - 2131*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 20. Let s be (1 - 0)\/(1\/10). Let n be g(s). Let t(u) = u - 4. Calculate t(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 21 = -3*d, 5*d - 33 = -4*i. Suppose -60*o + i = -54*o. Let r = 13 + 3. Solve 2*j - 5*j - 5*u + r = 0, -o*j + 2*u = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1070 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 6142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (2 - 0 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11281.4 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r - 7. Let t be a(-6). Suppose 0*y + 5*y = t. Suppose -5*s + 46 = -14. What is the remainder when s is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 26803?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 16649*l - 3 + 4118*l**2 - 16649*l + 3 + (-4*l + 4*l + l)*(4*l - 2*l - l) as q*l + t + k*l**2 and give k.\nAnswer: 4119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*w = 166725 + 57261, -223986 = -3*o + w. What is the ten thousands digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 9) in base 12?\nAnswer: ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-700) - ((-4)\/10 + 1).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81 - 90 - (4 - -7) - -20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 20*s - 63 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**2\/7 + 179*y\/7 + 122\/7.\nAnswer: -(2*y - 61)*(3*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 + 0*z**3 - 4*z**3)*(-3 - 2 - 37 + 11552*z + 42).\nAnswer: -11552*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.116 (c) -4 (d) -5921\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -148, -510, -1214, -2374, -4104, -6518, -9730?\n\"Answer: -19*i**3 - i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15720, -15643, -15564, -15483?\nAnswer: -15400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -143\/136 - -20\/17. Let a(i) be the third derivative of -k*i**4 + 0*i + 1\/60*i**5 - 3*i**2 + 0*i**3 + 0. What is the second derivative of a(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13220 + 4924 = -244*v for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141*n**2*z**2 + 6*n*z**2 - 16*n*z wrt n.\nAnswer: -282*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 122762 - -9225. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l**2 + 4*l + 8. What is the smallest common multiple of q(-2) and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b - 12*b + 162 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 87*f**2 + 45*f**4 + 8*f**2 + 48*f**3 - 46*f**4 + 50*f + 4*f**2.\nAnswer: -f*(f - 50)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 1. Let a(k) = -12*k**2 + 2*k - 8. What is a(i) + 5*x(i)?\nAnswer: -17*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 29. Suppose -6 = 2*v - 16. Solve v*b - h = 2*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1117\/105 - (-448)\/(-42).\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/20 + x**4\/12 - x**3\/6 - x**2\/2 + 5*x. Factor j(h).\nAnswer: (h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 1. Let q be l(3). Let z = -23 + q. Solve 2*x = -5*m + 15, -4*x + m = 2*m - z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8600 by -60.\nAnswer: -430\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (402 - 813 - 1327)*(1 + 2*k**2 - 1) - 2*k**2 - 4 + 4 + 3 in the form t*k**2 + p*k + l and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/12 + (-2148)\/(-144). Solve x = 5*a - 4*g, 2*a + g = -4*g - 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/60*10\/(-4). Let l(o) = -o**2 - 3*o - 2. Let s be l(-2). Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-4*(-6)\/(-24) - 1091. Round a to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2205313 (base 7) in base 11?\nAnswer: 175498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 401 - 4232*k - 401 - 31*k + (-3 - 2*k + 3)*(0 - 5 + 4).\nAnswer: -4261*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 5 + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-20 - 0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28496 and 10777.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 5543*f - 2753*f - 2745*f. Let g(d) = -48*d + 1. Calculate g(i(y)).\nAnswer: -2160*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f - 3*f + 4*f + 2*f - f + 0*f + (-f + 4*f - f)*(-3 + 2 + 2) + f + 0*f + 0*f - 2*f + 0*f - f to t + m*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 3*q - y, 5*q + 3*y + y - 281 = 0. Let t = -17 + 37. Calculate the remainder when q is divided by 12\/t*(33 + -3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-1\/3)*l)\/(l\/(l\/(l*l\/l**(-3)))))\/(l*l**1*l*l)**28)**(-1\/10) assuming l is positive.\nAnswer: l**(173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*g**3 + 10774*g**2 + 20*g**3 - 2*g - 5*g**3 - 10772*g**2 - g**4 - 2 to the form t*g**4 + m + f*g**2 + u*g + y*g**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56317083*l**3*q**2 + 1385*l**2*q - 2050*l**2 - 2*l*q**2 + 4*q**2 wrt l?\nAnswer: -337902498*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)\/2*0. Let u be (r + -1)\/((-1)\/5). Suppose -3*c - u - 1 = 0. Is -2 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5802*o = -5697*o - 243 + 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 4749420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*f + 4801962 = 19466. What is the ten thousands digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (1 - 0)) + 7. Suppose -2 - k = -2*j. Suppose -j*h + 2053 = -4*p, 2050 = 5*h - 6*p + p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.7 or -35\/13?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 4:31 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -583 - 12*d**3 + 583 + (-3 - 2*d + 3)*(d - d + 2*d)*(-3*d + 3*d - 2*d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1418236929?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.08 - -0.08. Let q = 139.642 + -140.142. Let s = 740\/7 - 106. Which is the third biggest value? (a) l (b) 7 (c) s (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.99 + -23. Put -3, 1, n in descending order.\nAnswer: 1, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289347 - 7\nAnswer: -289354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 427 divided by 463739.\nAnswer: 427\/463739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -7 + 6 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95029, 95050, 95071, 95092?\n\"Answer: 21*h + 95008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77\/5 of a minute?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**2 + 4*f + 4. Let m(o) = -o**2 + o + 1. Give -a(z) + 3*m(z).\nAnswer: 4*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -149.\nAnswer: -7\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11*w - 43*w + 8*w. Let v(z) = -2*z. Calculate l(v(c)).\nAnswer: 92*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4067? (a) 1 (b) 103\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 10*l = 137, 3*j + 40676106*l - 40676108*l - 37 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 3607 + 1640. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a = 6*a - 84. Factor 1\/3 + 1\/3*w**3 + w + w**a.\nAnswer: (w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 17 = -4*q, -9 + 2 = 4*q - 3*c. Let s(x) = 647*x**q + x - 2 + 1 - 646*x**2. What is s(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37.1 - -5.1. Let l = g + 31.9999998. What is l rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/3 - p**2\/2 + p + 2. Let z(m) = -29*m**2 + 4*m + 18. Let o(x) = -4*s(x) - z(x). Differentiate o(h) with respect to h.\nAnswer: 50*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -22, -83, -198, -385, -662, -1047, -1558?\n\"Answer: -3*r**3 - 4*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 11:26 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 10*w**2 - 5*w + 7. Let o be n(9). Let b = 196 + o. Let s be (1\/4)\/(b\/(-28)). Which is smaller: -2\/3 or s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9742, -19444, -29158, -38890, -48646?\nAnswer: -58432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 - 1. Let j = -21.9 + 16.9. Let o be 0*(1\/1)\/(-2). What is the second smallest value in o, j, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 - 5*n**2\/2 + 6*n - 2. Let o be a(-5). Solve 0 = 3*j - o*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 24 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(18\/5)*j*j)\/(j\/(j*j*j*j**(-3)*j)) assuming j is positive.\nAnswer: j**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60 + 78. Let u = k + -22.1. Let g = -3.45 - u. Round g to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/10 + -1*2*(-68832)\/64. Solve 7*x = -2192 + j for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.17 and 14156.\nAnswer: 14156.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(-6*((sqrt(68) - sqrt(68)*4 - sqrt(68)) + -1))**2.\nAnswer: -39207 - 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130.93 - 130. Let t = -2.93 + u. What is the closest to -2\/7 in t, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*i**4 + 47*i**4 - 4*i**5)*(-3 - 8 + 0 + (7 - 3 - 2)*(0 - 3 + 5)).\nAnswer: 28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 21 = -5*i + 6, -j - 3*i = 13. Suppose -j + f + 2 - 2*f**2 + 2*f**4 - f**5 = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o)*(-o + 0 + 0) + (7*o + 0*o + 0*o)*(2*o - o - 3*o).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1365 + 1371. Let v = -0.05 - -8.05. Let w = v - 7.5. What is the second biggest value in -0.4, 0.1, f, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/(32\/12 - 3). Let v be (0 + o\/6)*1. Sort -3, -0.3, v in decreasing order.\nAnswer: v, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 148*x**2 - 4*x + 71. Is j(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/20414559 and -53\/1917?\nAnswer: 183731031","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9085 or -8917?\nAnswer: -8917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*m - 36. Let d be 14\/m*4\/7. Is d at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daaqaqqadaaaaaadaaa. What is prob of sequence qadq?\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5081340877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1938 and 456.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -22. Suppose -169 = 5*f - 54. Is 9 a factor of y\/2*(f + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**5 + 546*r**4 - 37530*r**3 + 1166400*r**2 - 14488875*r + 24603750.\nAnswer: -3*(r - 45)**4*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 4*i + 4*c, i - c = -3. Calculate the common denominator of (1\/(14 - i))\/(170\/(-840)) and 21\/8.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -20*s**4\/7 - 1912*s**3\/7 - 1140*s**2\/7 = 0.\nAnswer: -95, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 242 + -967\/4. What is the closest to -1 in -8.7, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 187 - 187.000097. Round z to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 1\/540*v**6 + 1\/36*v**4 + 2\/3*v**3 + 1 + 0*v**2 + 0*v + 1\/90*v**5. Let m(f) be the third derivative of l(f). Factor m(d).\nAnswer: 2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74018 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -11241959\nAnswer: -2\/11241959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.065096, 18, 6 in descending order.\nAnswer: 18, 6, -0.065096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -792.3 and 4.1.\nAnswer: -3248.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196719399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 13) to base 16\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132*g + 14 - 34 + 20)*(3 - 2 - 2).\nAnswer: -132*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r*r**11)\/r))\/r)**21*((r**8*r)\/r)\/(((r\/(r\/(r\/(r**(-23)*r))))\/r)\/r*r))**25 assuming r is positive.\nAnswer: r**(-6125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.4 (c) 122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(14)\/(-2*sqrt(28)\/sqrt(4))*4 - (5*(sqrt(48)\/sqrt(4) - sqrt(12) - sqrt(12)))\/(sqrt(6) - sqrt(384)*1).\nAnswer: 9*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22112 - 2030?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 304429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -4*b - 13, -2*b = -2*z. Let u(v) = -v + 10. Let p be u(7). Put p, 0, b in descending order.\nAnswer: p, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19895*n - 29*n**3 + 189*n**3 + 19893*n in the form v*n + z*n**2 + r + m*n**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 96354 + 6?\nAnswer: 9635a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*i**2 - 28 - i - 28*i**2 - 17*i**2 + (2 - 2*i - 2)*(-i + 4*i + 0*i) as t*i + c*i**2 + x and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 56. Let p be w(-14). Let z = 965 - 4778\/5. Is z at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21476 and 13104?\nAnswer: 773136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201 (base 3) in base 10?\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.3*551607\nAnswer: 1268696.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -163, -79, 11 in descending order.\nAnswer: 11, 2, 1, -79, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 11:13 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3\/23 - 106*y**2\/23 - 244*y\/23 - 96\/23 = 0. Calculate y.\nAnswer: -24, -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -1550295.\nAnswer: 8\/310059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1221042 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**4\/3 - 14*w**3\/3 - 60*w**2. Calculate the remainder when 51 is divided by d(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-7)\/(-56)*(-8)\/(-6)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 39\/91 - (-10)\/(-7). Let t(h) = h. Determine t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -7, 0, 47, 8 in descending order.\nAnswer: 47, 8, 0, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*d - 6*x = 2490, 11962*x - 11960*x + 60 = -5*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(((y**0\/y)\/y)\/y))**(-1\/17))**(-12) assuming y is positive.\nAnswer: y**(48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/2 + 1216*k**2 - 290359*k\/2 - 146395.\nAnswer: (k - 115)*(k + 1)*(k + 2546)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 334475*f = -334478*f + 7, -5*f = -4*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = 7*l + 204. Let d = 36 - l. Factor -1\/3*w**2 + d*w - 3.\nAnswer: -(w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i**4 + i**3 - 4*i**4 - 4*i**2 - 69 + i + 69 in the form n*i**2 + z*i + t*i**3 + u + h*i**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 9*p**2 + 9*p - 2. Let u be c(8). Let i(t) = -t**3 + 7*t**2 - 5*t + 4. Let y be i(u). Calculate the highest common factor of y and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53253 and 59170?\nAnswer: 532530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 816 = -466*o + 330*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 3)*(-5 + 2*c - 2 + 0 + (-14 - 18 + 22)*(-5*c + 3*c + 0*c)) to s + z*c and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1740\/39)\/4 + -11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5702235.4 - -119.2.\nAnswer: 5702354.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/2)\/(7518\/231 - 33)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(833) + sqrt(1088)*-6)**2 - (sqrt(68)*1 + 3 - (4 + sqrt(68) + 1 + sqrt(68) - sqrt(68))).\nAnswer: 51427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**3 + 160*a**2 + 332*a + 168 = 0.\nAnswer: -1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/16861 and 54\/91.\nAnswer: 118027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.861 - -3.861. Let t = 3 - 1.3. What is the nearest to m in t, -0.1, 4, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-1))\/(1335\/(-1869)*(-7)\/(-2))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u - 608 = -4*x, u + 583 = 4*x. Is (x - 1)*(2 - (-12)\/(-8)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1ac8 + 8?\nAnswer: 1ad2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 0, 14, 1.\nAnswer: -9, 0, 1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6887, 6728, 6469, 6116, 5675, 5152?\nAnswer: 4553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12234434 - 12020?\nAnswer: -12302004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 11*y - 6. Let j be g(-9). Solve 0*r - j = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/3 and -56\/597?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -44.3119537786.\nAnswer: -44.7119537786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929186813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 60 = -841*d + 846*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -83a2 (base 11) in base 7?\nAnswer: -44300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 + -41. Let c(i) = i**3 - 6*i**2 + 5*i + 7. Let v be c(x). Solve -v - 6 = -w - 5*q, -3*w - 5*q = -9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**2 - a. Let u be p(-1). Suppose 3*n = 2*j + 100, -5*n + 170 = -u*j - j. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2107*q + 4. Let w(h) = -19938543*h + 37854. Determine -37854*a(c) + 4*w(c).\nAnswer: 4206*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1556, 1514, 1472, 1430, 1388?\n\"Answer: -42*i + 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by -1.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -4*w + 21. Let i = -14 + w. Calculate the least common multiple of 20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, 29, 67, 105, 143, 181?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 3. Let t be s(3). Solve t = -2*w - 0 + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -24, -3 in increasing order.\nAnswer: -24, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 40. Suppose -4*o + o = i. Let t be ((-10)\/5)\/(2\/o). Solve 1 = v + t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20742.15 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.35 to the nearest integer.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247483 and 13939.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/1*(-819)\/(-39)*-1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147454, 147441, 147428, 147415, 147402, 147389?\nAnswer: 147376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/4 in -0.16, 3\/217, -4?\nAnswer: 3\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -187128 divided by -8.\nAnswer: 23391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/14)*w*w\/w**(2\/7)*w)\/((w**(-14)*w)\/(w**(-27)\/w)) assuming w is positive.\nAnswer: w**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ja when two letters picked without replacement from aayyijviiyayyiaiyya?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-125)*(-20)\/4*222\/1295.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i - 4. Suppose -4*o - 3*g - 11 - 10 = 0, 2*o + g + 11 = 0. Let j be m(o). Is 2 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-1 - (-10)\/3). Let r = j + -5. Let x = -1.6 - -4.6. What is the closest to -2 in -0.1, r, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/121608 and 67\/90672.\nAnswer: 459435024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q + 1. Let p be l(-2). Which is the closest to 0? (a) 1\/4 (b) -0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/9 and -60\/77.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + sqrt(68)*-3 + sqrt(17))*2)**2 + (3*sqrt(272)*-5 - (-3 + (sqrt(272)*-1 + sqrt(272) - sqrt(272))))**2.\nAnswer: -976*sqrt(17) + 60377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*r + 27 - 50 + 23 + (3*r - 2*r - 3*r)*(19 + 24 - 50).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 530821 != 530820?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242943 is divided by 73.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) + -1)*2.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 532048.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1218\/168 + (-10 - -4) - (-14)\/8. Let r(g) = -g**2 + 16*g - 49. What is r(m)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1667*n = 1626*n + 246 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, c: 12}. What is prob of picking 2 x and 1 c?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-93363)\/(-18) - 2\/(-6). Let k = 5162 - g. Find the common denominator of -35\/9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 7*l**2 + 6*l + 6. Determine u(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -3, 1147, -6\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 22002, 1, 0.2 in decreasing order.\nAnswer: 22002, 1, 0.2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2637, -4669, -6701, -8733?\n\"Answer: -2032*p - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 0, -5*a + 158*v - 160*v + 42 = 0. Solve 51*q - a = 55*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, x: 6}. Give prob of sequence xddx.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 2*o - 15, -4*n + 21 = -3*o. Let l be -2 + (2\/2 - n). Let s = 15\/19 + -143\/133. What is the biggest value in l, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**5\/2 - 6*w**4 - 61*w**3\/2 - 26*w**2 + 30*w + 32 = 0. Calculate w.\nAnswer: -2, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) 7 (c) 0.1 (d) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1805\/3 + -601. Suppose 0*h + 5\/6*h**5 - 13\/6*h**4 + f*h**2 + 0 + 2\/3*h**3 = 0. Calculate h.\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/33 + (-1017)\/33. Let z = 36 + v. Sort 1\/3, z, -3 in ascending order.\nAnswer: -3, 1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16602649*a**2 + 41071904?\nAnswer: 33205298*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -40*c - 7. Is j(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 381163 (base 9) to base 7\nAnswer: 1650006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98061901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9487.\nAnswer: 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00114364495 to six dps.\nAnswer: -0.001144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -715, -1447, -2195, -2959, -3739, -4535?\nAnswer: -5347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4090 is divided by 1362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5501\/10 + -550. Sort w, 0.8, -2\/5 in decreasing order.\nAnswer: 0.8, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0717 - -0.1617. What is the nearest to -1\/3 in 3, 2\/17, i, 1\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3053041?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*w + 6 - 15. Put -3, -46, w in decreasing order.\nAnswer: w, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -176*y**2 - 5292*y - 157. Calculate d(-30).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 6*i + 10*i - 62, 2*z + 4*i - 4 + 0 = 22 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -6*m**7\/7 + 13*m**3\/2 + 14*m. What is the second derivative of g(x) wrt x?\nAnswer: -720*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((108\/(-15))\/6)\/(2\/(-5)). Suppose 2*m + 7*r - 9 = 4*r, -m + 9 = a*r. Solve 6*k - 3*k = o + 8, -2*o + 4*k - 10 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -8*p + 40. Let c be (39 - 0)\/(3\/2). Suppose -p = -3*x + c. Solve 0 = -4*g - x + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20209597 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 12 - 3 = 0. Let k be o - ((-9)\/(-1) - 1). Let i(x) = -x**3 - 3*x**2 + 2*x - 3. What are the prime factors of i(k)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/50960 and -29\/2744.\nAnswer: 356720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-2)\/(-4)*-15)\/(7\/(-14)) and -2 + ((-35)\/4)\/(2\/(-8))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 12*q**2 + 4890. Let s(p) = 4*p**2. What is w(s(o))?\nAnswer: 96*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2964 and 1729.\nAnswer: 20748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 = -6. Suppose 5*c - 2*a = -0 + 4, 0 = -k*c + 4*a - 8. Let g(o) = -c - 2*o**2 - 5*o**3 + 0*o**2 - o + 4*o**3. What is g(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x + 13*x - 3*x**3 - 9*x**2.\nAnswer: -3*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 11 = -4*p, 2*y - 3*p + 6 + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by (1 - (-4)\/20)\/((-6)\/(-45)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/27 - (1 + (-12)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, -68, -82, -4, 0 in descending order.\nAnswer: 23, 0, -1, -4, -68, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1431?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**2 - 13*f + 11*f**2 - 33*f + (-10*f - 7 + 7)*(4*f - 2*f + 0*f).\nAnswer: -21*f**2 - 46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -0.51?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + 2*w - 7. Let d be (3 + -2)*(-3 - 2). Let c(s) = -7*s**2 + 3*s - 8. Let k(p) = d*c(p) + 6*m(p). What is k(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -597, -1192, -1783, -2370, -2953, -3532?\n\"Answer: 2*w**2 - 601*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3690 - -6045. Calculate the greatest common divisor of 1099 and p.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360) + (-2*sqrt(360) - sqrt(360)) + sqrt(360) - sqrt(10)) + sqrt(10) + -5*sqrt(1000))\/((3*sqrt(60)*-3)\/sqrt(12)*-1))**2.\nAnswer: 6272\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 454512150 (base 6) in base 16?\nAnswer: 7f5762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56906?\nAnswer: 2, 37, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3366832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p - 135. Give q(13).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2 + 4 + 4*v**2 - v**2 as p*v**2 + w + n*v and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3 (b) 4 (c) 2 (d) 839701\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqv when three letters picked without replacement from {m: 1, v: 1, j: 3, q: 8, d: 6}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 2*p**2 - p. What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5134878208.\nAnswer: 2, 10029059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054592175 rounded to 4 decimal places?\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 5*i + 9)*(3 - 2 - 3)*(3 - 2 + 1) to the form f*i + l and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Is t less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*j + 7. What is the greatest common factor of 22 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7383, 6957, 6529, 6099?\nAnswer: 5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 126*j**2 + 12*j + 134. Does 20 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -436885?\nAnswer: 436880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**4 + 2 + 10*c**2 - 6 - 6*c**4 + c**3 + 3 to the form r + n*c + a*c**4 + l*c**3 + v*c**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28918 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = f - 29. Let n(q) = 99*q + q**3 - 48*q + 4 + 6*q**f - 44*q. Determine n(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0*j**3 + 13\/12*j**4 + 0 + 4*j**2 + 23*j. What is the derivative of q(y) wrt y?\nAnswer: 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 10, 5, -16, -59, -130, -235?\n\"Answer: -h**3 + h**2 + 9*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1120.402537 and 1?\nAnswer: -1120.402537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((5 + sqrt(49)\/sqrt(7))**2 + 5)*4 - ((sqrt(567)*2 - sqrt(7)) + sqrt(7) - (4 + sqrt(63)))**2).\nAnswer: -1444 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 13*a - 2*a - 0*a + 3*o + 30, -2*a - 2*o = 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 3?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - z**2 - z - 1. Let m(y) = -8*y**3 + y**2 + y + 2. Suppose 0 = v - 206 + 207. Give v*c(u) - m(u).\nAnswer: 9*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 + 75. Suppose 0 = -2*y + 21 + j. Suppose -2*m = 3*m - y. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66388.374 + 5.\nAnswer: -66383.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z - 5. Let u(v) = -4*v - 4. Let d(b) = -4*c(b) + 5*u(b). Let g(k) = -k + 6*k - 9*k - k + 6*k. Determine g(d(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -389.\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u - 204. Let l(q) = -3*q + 205. Determine -4*l(f) - 5*p(f).\nAnswer: 2*f + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2301 smaller than -1483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 111.\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.6, -1\/3, -24.5477, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -522 (base 9) to base 14\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 168140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8989254132 - -185?\nAnswer: -8989253947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18)\/((-7)\/21)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/(-30) + 12\/(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-126))\/(3\/7). Factor -4\/9 - 8\/9*h**2 + i*h**3 + 10\/9*h.\nAnswer: 2*(h - 2)*(h - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 + -0.6. What is the closest to l in -2\/43, -2\/9, -0.3?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 - 6*o - 3. Let q be r(-5). Let w(h) = h + 6. Let v(p) = -p - 7. Let x(j) = -5*v(j) - 6*w(j). What is x(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.25 + -0.04. Let y = o - -2.79. Let a = 1.2 - y. Sort -5, -3\/5, a in increasing order.\nAnswer: -5, a, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 - 46 - 27*t)*(t**3 - 3*t**3 + 6*t**3) - 4*t**4 + 4*t**4 - t**4.\nAnswer: -109*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(500))**2 + (sqrt(125) - -2*(sqrt(125) + 0))**2 + sqrt(125).\nAnswer: 325*sqrt(5) + 3189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 34 = -4*q, 46*q + 12 - 2 = 45*q + s for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1175*m*p**3 - m*p**2 + p**4 - 667*p**2 wrt p.\nAnswer: -7050*m + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -u - d, 4*u - d + 10 = -6*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 4. Let v(c) = 16*c - 23. Let l(g) = -6*o(g) + v(g). Let x(r) = 0 + 3*r - r + 0. Determine -4*l(y) - 5*x(y).\nAnswer: -2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20452*c**2 - 2*c + 4250 wrt c?\nAnswer: 40904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4*p**2 + 33*l**4 + 22*p**2 - 4 wrt l.\nAnswer: 8*l**3*p**2 + 132*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213936 = -17*x + 1584545. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -362, -725, -1090, -1457?\n\"Answer: -u**2 - 360*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(7\/3)\/l)**(3\/20)\/(l*l**(-2\/43))**(2\/3))**(-10) assuming l is positive.\nAnswer: l**(562\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 323+0.6353\nAnswer: 323.6353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26.4 - -17.6. Let i = -8.3 - m. Which is the nearest to -1\/4? (a) 0 (b) -13 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12*(-3)\/(24\/4). Suppose a - 3*a = -g. Solve -l + 3 = -a*v - 0, 4*v = -l - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1527 + 1624.8. What is a rounded to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -5*h + 41, -4*m + 5*h + 5 - 62 = 0. Let u = -42 + 41.5. Which is the second smallest value? (a) u (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-6)\/((-36)\/(-10)). Let s(i) = 19*i - 3. Let a be s(u). Suppose -b = b - a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1165*u + 38272. Give c(33).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -8225.7894 to the nearest ten.\nAnswer: -8230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 789*g - 10*g**2 - 785*g + 2*g**2 to o*g + c + h*g**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100111 - 1111100001000?\nAnswer: -1111110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37415 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 18. Let b be g(-18). Let d = 3 - b. Suppose -d*t - 109 = -o + 2*t, -366 = -3*o + 2*t. Does 31 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-3)\/6). What are the prime factors of (d\/9)\/(2\/42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -775*r**6\/2 + 301*r**3\/3 - 2*r - 2457. Find the third derivative of w(y) wrt y.\nAnswer: -139500*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 47 = 3*j - 62, -2*r = -3*j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20616 + 20568.948. Let n = -47 - b. Let x = 1.052 - n. Which is smaller: 2\/27 or x?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b1 + -46?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.056 - -1.696. Let s = 1.04 - n. What is s rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19.4 in -27, 3, -199, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16 - 29*s**2 + 16 + 9*s**2. Let b(w) = w. Give j(b(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2200 - 11?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29503 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29625*c - 28628*c = -35892 for c.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -25.3. Put j, 0, -2\/13 in ascending order.\nAnswer: -2\/13, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 16 = -6*b. Suppose 2*n = b*n. Solve 5*j - j - 20 = n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1062 = -2*z, 3*z = 3*v + 524 - 2117. Calculate the remainder when z\/(-21) + (-4)\/14 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221793573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 715360295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99743728.\nAnswer: 2, 7, 467, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 2*w**2 - 2*w + 17764. Let n be h(0). Suppose -81*g + 85*g - n = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/16)\/((-4)\/(32\/20))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-106)\/(-795) - (-62)\/7*63\/(-135)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387022105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*v**2 + 3*v**2 - 5*v**2 - 6*v**2 + 4 + v - 2*v to l*v + x*v**2 + c and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -169f25 (base 16) in base 3?\nAnswer: -2210022122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 0. Let t be g\/(-5) + (-24)\/60. Suppose 0 = -0*x - t*x + 246000. What is x rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 160*w + 11. Let g(p) = p. Give q(g(h)).\nAnswer: 160*h + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 7. What is the common denominator of 6 + (840\/(-18))\/7 and ((-111)\/(-18))\/(u\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1873655 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**3 + 69*z**2 - z + 4. Let o(f) = -4*f**3 + 70*f**2 - 4*f + 3. Determine -3*m(d) + 4*o(d).\nAnswer: -d**3 + 73*d**2 - 13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 47*g + 4. Let t(k) = k**2 - 188*k - 18. Calculate 9*n(s) + 2*t(s).\nAnswer: 2*s**2 + 47*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3689 and 61761.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 88479.42 years?\nAnswer: 1061753.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -0.5 (c) -116 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than -2301.039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 5*l + 74. Suppose 3*m + h = l, -2*m + 3*h + 18 = -0*h. Solve 2*u - 20 = m*x, -3*x = x + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 11856356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k)*((1 - 5 + 2)*(-k - 2*k + 4*k) + 24 - 24 + 15*k).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g**2 - 1. Let u(x) = -26*x**2 + 5. Let r(p) = 5*q(p) + u(p). Let f(i) = 3*i - 1 - 5*i + 0*i + 0*i. Calculate f(r(a)).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125798764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -18 - 12. Let m = 17 + o. Let q(f) = f**3 - 6*f**2 + 5*f - 7. Let s(t) = -t**2 + 2*t - 1. Let w(r) = q(r) + 2*s(r). Determine w(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**5\/60 + 5*u**4\/8 + 8*u**3\/3 - 3*u**2. Let l be s(-15). Suppose l = 5*h - 44. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, 0.6, -44, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(sqrt(1100) + 1)*4*-1)**2.\nAnswer: 11520*sqrt(11) + 634176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947?\nAnswer: 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, q: 2, j: 1}. What is prob of picking 1 g and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by 537122.\nAnswer: -75\/537122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120d (base 14) to base 11.\nAnswer: -2403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*v + 14 = 0, 0 = -17*v + 18*v - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 7) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 15*l**2 + 4*l - 2. Let z be q(5). What is the highest common factor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/407*(-128)\/(-64)*5\/(20\/6)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225769656 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 405 - 3407*b**2 - 405.\nAnswer: -3407*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, l: 2, u: 1, w: 1}. What is prob of sequence lwls?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 2)\/1 - -2. Suppose -b - t*b = -170. Suppose -38 = -4*a + b. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8768832?\nAnswer: 2, 3, 109, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diidwyivnnwynd. What is prob of sequence dwyw?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -15. Let a = -1006\/105 + 68\/7. What is the second biggest value in a, d, -3\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 11*l**2 + 17*l - 1. Let b be g(-9). Suppose 0 = 2*n + b*m - 4*m, 5*n = 3*m + 13. Solve -4*o = -o + 2*z + 5, n*o - 2*z - 10 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 803?\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 1045. Let p be l(0). Let t = -745 - p. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 9*c - 20. Let t be p(11). Suppose 5*s - a - 18 = 0, -4*s - t*a = -5*a - 21. Solve 2*w = s*j - 2 + 4, 2*j + 13 = -w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -99, -148, -197, -246, -295?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -425893 at most -425894?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:09 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-230)\/30 - 4\/(-12))\/(-2). Put 0.5, o, 0, -9 in increasing order.\nAnswer: -9, 0, 0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 = -2*h, -3*o + 3*h = -2*o + 5. What is the units digit of ((-378)\/4)\/9*o\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 644 - -0.0541.\nAnswer: 644.0541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -24. Let b = 19 + g. Let w = b + -10. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 22209 = -23*g. Solve -645 + g = -7*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -5*a**6\/6 - 6*a**5 - 35*a**4\/4 + 10*a**3 + 20*a**2 + 358. Determine o, given that c(o) = 0.\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 5*k. Suppose 0 = 72*v - 292 + 4. Determine q(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00136331743 to 7 dps.\nAnswer: -0.0013633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus 182709464738?\nAnswer: 182709464729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k\/(((k*k**0\/k)\/k)\/k)*k*k)\/k)**14*(k**(-1))**(-29)*k**(2\/5)*k**(-2)*(k**(-2\/5)\/k)**(1\/22) assuming k is positive.\nAnswer: k**(10707\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -1, 37, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + j - 5 = 0, 6*l + 7*j + 25 = 8*j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 226*h**2 - h + 59. Let c be v(13). Suppose 0 = i - 33*i + c. List the prime factors of i.\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 6 + 2 - 12*d - 3. Let l be c(-6). Calculate the smallest common multiple of 33\/l + (-106)\/(-14) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -2*l + 5*o, 3*o - 107 + 155 = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 253 - 252.999993336. Round f to seven decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrmmr. What is prob of sequence mrr?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.219 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102342 a multiple of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 165, 303, 497?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.2 - 0.2. Suppose -6 = -5*t + 4. Suppose 4 = -2*h, t*h + 0 = -5*m - 4. Which is the closest to 1? (a) g (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 115*r + 2808. What are the prime factors of a(59)?\nAnswer: 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 89410*z**4 + 89381*z**4 - 178284*z**4 + 331*z**2 wrt z?\nAnswer: 12168*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 + 19*g**3\/6 + 23*g**2\/6 + 5*g\/6 - 1\/2.\nAnswer: (g + 1)**2*(g + 3)*(4*g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6553139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 180334751*q*u - 245821009*u wrt q.\nAnswer: 180334751*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 216 = 224. Let u be 4\/22 + (-84)\/y. Which is the biggest value? (a) 0.5 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15 + (1 - 16\/4). Let q = j + 5. Let y = 19 + -10. What is the remainder when q is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 * -10959.2\nAnswer: -295.8984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/210 and 61\/300?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81668706?\nAnswer: 2, 3, 7, 283, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -n - 0*n. Let h = 0.07 - 4.07. Which is the biggest value? (a) n (b) 3\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -11 + 26 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 62 = -9*y, -19*c + 56*c + 4 = 33*c + 2*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*j - 2 - 3*j + 2 to the form v + c*j and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvpivgv. Give prob of sequence vi.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5 + a**2 - 6 + 0 + a. Let d be j(-11). Calculate the greatest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 9*o. Let v(n) = -177*n**2. Give s(v(w)).\nAnswer: -1593*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 5*p + 16. Let w be g(3). Let j be (2 + -3 - 1)*12\/w. Solve 5*y = t + 19, -y - 5*t - j = -12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7733 take away 0.37587?\nAnswer: -7733.37587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3632 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -131 + 134. Solve 6*p = j*p + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.721859 centuries?\nAnswer: 0.0721859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0575 - 21.01285?\nAnswer: -21.07035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -58.04. Let w = k - -0.04. Let g = 325 + -324. What is the biggest value in g, w, -14?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 61. Which is the nearest to -1\/2? (a) q (b) 3\/11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = a - 364. Let d = a - 347. List the prime factors of d.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 42 + 526*s**3 - 373*s**3 + 138 wrt s.\nAnswer: 459*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2. Let k be 1\/((-1)\/(-5) + 0). Let w(q) = -4 - k + 5 - q + 5. Let t(g) = -6*g**2 - 2*g + 2. Let f(s) = t(s) - 2*w(s). Give f(r(v)).\nAnswer: -24*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457716 a multiple of 442?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 0)*30\/(-4). Suppose t - k = -3*l, l + 3 = 2*t - 2*l. Is t < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3568 + 28*a**3 - 8*a**2 + 3568 - 2*a to the form z*a + k + q*a**3 + h*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18684\/(-5190)*(-40)\/126.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133209929*o**5 - 167177558*o**2?\nAnswer: 7992595740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3017 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 99 = o, 3*o + 3*s = -s - 299. Let u = -18 - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 2875?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 + 0*n + 0*n)*(-1 + 2 - 2) + (n - 4*n + n)*(-1 + 2 + 0)*(-4*n + 14*n - 36*n) in the form b*n + j + f*n**2 and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -11*w**4 - 4*w**3 - 40*w + 4. Let t(z) = -32*z**4 - 11*z**3 - 120*z + 11. Let n(f) = -11*k(f) + 4*t(f). Find the second derivative of n(d) wrt d.\nAnswer: -84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(44)*-5*3)**2)*1.\nAnswer: 9895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194*g - 30643 = 26161 + 37538 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*w = -1558 - 1277 + 2387 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1835 * -7.\nAnswer: 12845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16750 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 13)*(-2)\/(-4). Suppose -2*u = -u - r. Which is the nearest to -0.2? (a) -5 (b) u (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -2\/3, -5, -0.5, -5720.2, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 3378264*d - 3378261.\nAnswer: -3*(d + 1)*(d + 1126087)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2)**(-5\/2)\/(((g**2*g)\/g)\/(g*g**(5\/6))) assuming g is positive.\nAnswer: g**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 10002, -4, -3 in descending order.\nAnswer: 10002, 7, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from rdnkour?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) - 1646*(-1)\/(-8). Is f greater than or equal to -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 242*f**4 + 15*f - 11 wrt f?\nAnswer: 2904*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12))\/(4\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 + 18)*(-2)\/6. Let y be (z + (-10)\/4)*(-14)\/21. Suppose y*g + 3*o = 12, -4*o = 2*g - 1 - 15. Solve 0*l + 3*l = g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-12)\/(-2))*-4. Solve -2*h + f + f = 14, -t*h = f + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -0.4, 9, -1, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b - 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9427478 + 5214104. Let d = 4213372.3400081 + r. Let n = d - -1.66. Round n to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 848657 + -1275907. Round s to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -17, -2, -1, -0.2 in decreasing order.\nAnswer: -0.2, -1, -2, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 41. Suppose 2*b - 4 = h, -s = -2*b + 5*h - h. Let v be b + -1*2 + (9 - 8). Solve 4 = l + v for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 79*g - 1023. Let p be j(16). Suppose -12 = n - 4*h, 2*h + h - 18 = 3*n. Which is the closest to 0? (a) n (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 6:05 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/12319 or -1?\nAnswer: -18\/12319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -211781160, -211781158, -211781156?\nAnswer: -211781154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 13*r**4\/4 + 12*r**3 - 17*r**2 + 8*r.\nAnswer: r*(r - 8)*(r - 2)**2*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**3 + 252*a**2 - 960*a + 944 = 0.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from azzzazz. Give prob of picking 2 z and 1 a.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71667 - 205029 = -27*f. Suppose -37*d - f = -31560. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:31 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 866130 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d**3 + 1068*d**2 - 268*d = 0. Calculate d.\nAnswer: -67, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((1 - (-5 - -11)) + -1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*k + 3, 5 = -2*k - 1. Let z be (-4 - -4)*(-1)\/c. Suppose 2*w - 4*y + 4 = 0, 19*w - 23*w + 13 = -y. Solve z = w*a - 5 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 18 = 5*t, -2*t = -3*a + 3 - 1. Let p(b) = 10*b - 222. Let l be p(32). Let k(c) = t*c - l + 98. Let o(f) = 4*f**2 - 6. Determine o(k(x)).\nAnswer: 16*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Suppose 0 = -4*j - 9 + 29. Solve -k*w + j = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176647387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303070?\nAnswer: 2, 5, 30307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99174 - 98860. Let y(c) = 15*c - 3. Calculate the remainder when j is divided by y(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -0.03. Suppose 5*k - 7 - 73 = 0. Suppose 0 = -2*u - 2*u - k. Sort u, 1\/2, l in ascending order.\nAnswer: u, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 + 222876*y + 187930401 = 0.\nAnswer: -73439, -853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1685296294?\nAnswer: 2, 11, 76604377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2 + (-3)\/(-3))*-2. Let t be (-200621 - f)\/(6\/(-16)). Round t to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**2 - 3*o - 2. Give m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*3*(-6)\/(-81))\/((-4)\/46).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 11:09 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(66)*-5 + sqrt(66)) + sqrt(66) - sqrt(66))*-2)\/(1*3*sqrt(6)*3).\nAnswer: 16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/52 - (-6 + 2191\/(-28)). Solve 11*d + 504 = l*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(135)*5 - sqrt(15))\/sqrt(5)*6 + 3*(0 + sqrt(363) + -1).\nAnswer: -3 + 123*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4941432863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/2*x**4 + 0*x**7 + 0*x**3 + 0*x**5 + 0 + 0*x**2 - 2*x - 1\/56*x**8 + 0*x**6. Find the third derivative of c(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91871804159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108863333.\nAnswer: 761, 143053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 w when four letters picked without replacement from {c: 4, w: 3, h: 1, r: 5, v: 1}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10490*q - 8041*q - 557835 = -2207094 for q.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3556 * -0.3\nAnswer: -1066.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 33888 divided by -8472\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2477 (base 9) to base 15\nAnswer: -837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/30 + (17 - (-17 + (-5080)\/(-150)))\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19257 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n - 85. Let m be p(-6). What is the closest to -1 in m, -0.3, -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20539300 to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 231135739*w**3 - 5015546*w wrt w.\nAnswer: 1386814434*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 4:30 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13*u**3 + 5*u**2 + 3*u. Let o be j(-3). Suppose 5*s + o - 137 = 0. Let w be 1 - (2 - (-54)\/s). Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 24*p - 156. Let b be j(22). Let a = -45 + b. What are the prime factors of a?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5\/4)*w*w)\/w**24)\/(w**(9\/7)\/w**21) assuming w is positive.\nAnswer: w**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 390. Let s(k) be the third derivative of k**4\/24 - 3*k**3\/2 - 6*k**2. Let n be s(9). Let u be l(n). Round u to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -193*i - 2097. Let g be m(-18). Calculate the greatest common divisor of 1683 and g.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 + (-21)\/(-27). What are the prime factors of 4*4 + v + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3496651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 5. Calculate f(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5374, 0, 5 in increasing order.\nAnswer: -5374, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 8 + (-33 - -32 - -11 - (-1 + 2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 206*x - 211*x. Suppose -16*g + 65 + 15 = x. Solve 2*f + 22 = 5*w, -g*f - 6 = -2*w + 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000140276 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 - -227.4. What is the closest to 0.1 in 0.2, -17, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3038*u - 3005*u = 627 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 26 = -3*j + 2, -b + 40 = 3*j. Let p = -43 + 65. Let k = p - j. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201320027 and 3603.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -77010 smaller than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - -2) + -3 - (-14 - -19)) + 10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 303 + -301. Solve -m*h - 10 = -y, 0 = -0*h - 4*h - 4*y - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987363330?\nAnswer: 2, 3, 5, 31, 79, 89, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 + 19*z - 25. Let l be m(8). What is the fourth smallest value in l, 1\/7, 6\/13, 0?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**7\/210 + 37*m**6\/60 - 59*m**4\/4 - 19*m**2 - 3. What is the second derivative of g(w) wrt w?\nAnswer: -12*w**2 + 444*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2 + 4*m + 5. Suppose 15 = -0*w - 3*w. Is s(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-656)\/(-8) + (-392)\/8?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5196.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 58*o**2 - o. Let h(m) = -49*m. Calculate h(s(b)).\nAnswer: -2842*b**2 + 49*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/71 + 77\/213. Which is smaller: 2.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(2\/9)*k**1\/(k\/(k**(-1\/2)\/k)*k) assuming k is positive.\nAnswer: k**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/2 - 583*x**2\/2 - 1169*x\/2 - 585\/2 = 0.\nAnswer: -1, 585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 6. Let a(d) = -3*d + 4. Let l(b) = -7*a(b) - 5*x(b). What is l(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3)*(1 + 2*a - 1) + (4 + 2 - 4)*(-9 - 6 - 9)*(3 - 4 + 0 - 4*a).\nAnswer: 198*a + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82672259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1652222517 and 0.0009.\nAnswer: -1652222516.9991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17081*q - 29052 wrt q?\nAnswer: 17081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 161 - 158. Solve 2*f + p = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48698522 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406 = 45*m - 103*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5524 minutes in seconds?\nAnswer: 153.144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 2*b**3 - 2*b**3 + 13 - 13 - 26*b**3 + (4*b - 4*b - b**3)*(2 - 1 - 2) as i + o*b**2 + x*b**3 + g*b and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -68*s + 3. Let o be i(-2). Suppose 8*y = 651 - o. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 194.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6246 (base 7) in base 3?\nAnswer: -10000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 4:50 PM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from hxvuovcxxvxo?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -15*c - 24. Suppose x + l - 1 = 0, x + 4*x - l + 19 = 0. Let k = 3 + x. Put k, 2, c in descending order.\nAnswer: 2, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-22)\/(-6))\/((-1)\/(-3)). Let c = k - 7. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -603260, -603319, -603376, -603431, -603484, -603535, -603584?\nAnswer: -603631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + w - 12, -q + 5*w = 23. Let g be -11 - (11 + 1)\/q. Which is greater: -6 or g?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/30)\/((-27)\/((-12150)\/36))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-43)*1\/(-30)*9*(-2 + 1)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 - 17 = -7*m. Calculate the remainder when 60 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111000110 (base 2) to base 4.\nAnswer: 133012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 7) to base 3.\nAnswer: -2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 6 - -5) + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1138.8 - 1138.9. Let j be (-246)\/15*11\/6. Let w = 89\/3 + j. What is the closest to p in w, -3\/2, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36281489*j - 36970507.\nAnswer: 36281489","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 5, y: 5}. What is prob of picking 2 y?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*s + 45, -30 = -6*s + 3*s - 5*q. Suppose 8*h + 437 = -s*h. Sort h, -4, 2 in ascending order.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 10:13 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 + t - 5. Let g(r) = -r**3 + 1. Let b(w) = -3*g(w) - n(w). Suppose 181*a - 6 = 184*a. Determine b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 72\/5 of a meter?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4\/5 - 12*b**3 - 446*b**2\/5 + 504*b\/5.\nAnswer: 2*b*(b - 36)*(b - 1)*(b + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 2. Let t be g(-2). Suppose t = d - 4*x - 22, -2*x - 4 = 2*d + d. Suppose -4 = d*o - 4*o. Solve o = -0*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196357082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 68881?\nAnswer: 757691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) 2\/15 (d) -16.5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16040, 15830, 15262, 14156, 12332, 9610?\nAnswer: 5810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 13, q: 3}. Give prob of picking 4 j.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 - 3*j**2 - j**2)*(-3 + 0 + 4)*(-2272 - 3025 - 1070) as g*j + r + o*j**2 and give o.\nAnswer: 6367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 88. Let n = 16266 - 16262. Which is the third smallest value? (a) w (b) 5 (c) -3 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2469 + 4013 + 7502 + 7884)*(-t**2 + 0 + 0).\nAnswer: -16930*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 + 364\/(-39))*-9. Let l = -6 - -8. Let y be 5\/1*l\/8. Which is the third biggest value? (a) x (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -82 + 73. Let l = -9 - x. Let q(u) = -u + 6. Let j be q(6). Is l > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 252 + -252. Let t = 0.07 - -3.93. Let a = -0.05 + 3.05. What is the second biggest value in t, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 4, e: 1, r: 3, m: 6}. What is prob of sequence xixr?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bed (base 16) to base 15.\nAnswer: -34ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/13 in 5, 13, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5808.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*y = -192*y + 96. Solve -b - 11 = -3*n - 4, 3*n - 15 = y*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(1\/(-6)). Suppose -3*m**4 + 9*m**3 - o*m**2 + 0*m**2 - m**2 - 3*m**2 = 0. What is m?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100333 (base 4) in base 12?\nAnswer: -10593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4816 - -48121\/10. Let i = -139\/373 - 878100\/4849. Let y = i + 181. What is the common denominator of y and c?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -3\/17606, -14, 5, 2, 3, 4?\nAnswer: -3\/17606","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*a**3*i*s - a**3*i + 2*a**3*s - 5*a**2*s + 2*a**2 - 3*a*s - 2*i*s wrt a.\nAnswer: -36*i*s - 6*i + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(89\/3 + -25 - 0).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84 minus 82292889?\nAnswer: -82292889.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 185, 401, 747, 1229, 1853, 2625?\n\"Answer: i**3 + 59*i**2 + 32*i + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f - 14*f + 24075 - 25800 = -11*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(320))*1)**2.\nAnswer: -32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10902 smaller than -10902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from eerrrrerrrrrrr.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 0*l + 3*l**3 - 6*l + 4*l**3.\nAnswer: 7*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**9\/42 - 11*d**5\/60 - 17*d**2 - 30. Let r(c) be the second derivative of q(c). Find the third derivative of r(t) wrt t.\nAnswer: -1440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 169199182.\nAnswer: -16919918.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4431272 divided by 1107818.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smi when three letters picked without replacement from {m: 2, f: 9, s: 4, t: 1, i: 1}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f + 2, 2*v = f + 5. Suppose -z = -5, 0 = b - v*z + 3*z - 7. Solve -2*y = -12 + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + u + 1. Let r(w) be the third derivative of -w**5\/10 - w**4\/4 - w**3\/2 - 694*w**2 - 1. Calculate -5*c(x) - r(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/(-105))\/((-99)\/(-15)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-60))\/(6\/15). Let c = 3 + 1. Let x = -4.4 + c. What is the third smallest value in x, 5, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 p, and 1 b when three letters picked without replacement from tdkpdtvbpdvd.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 25*t + 6. Calculate x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 17*c**2 + c - 33. Let d be z(-17). Let g = d + 46. Is g at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71397985.\nAnswer: 5, 14279597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 divided by -29?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26 from -2518.58.\nAnswer: -2544.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x)\/x**4)\/(x*x**1)**(-22) assuming x is positive.\nAnswer: x**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -984\/82849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - (-1212)\/(-30). Let k = f - -137. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -23*l + 30*l + 106 - 88, 14 = -5*k - 2*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kggkhykxtxggkxkghxkh. Give prob of picking 2 k.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1, 1\/2, -2\/33?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.104 and -1234145.\nAnswer: -1234144.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - (-1 + 1))*-1. Suppose 2*w + 3 = y. Let s(p) = -2*p**3 - 4*p**2 + 8*p + 13. Let c be s(-2). Put w, c, 5 in decreasing order.\nAnswer: 5, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**2 - 6*p + 3. Suppose -3*o + 10 = 2*o. Let i = o + 1. Let w(m) = 1 + 1 + 4*m + 2*m**2 - 2*m - i. Give 4*k(j) + 11*w(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 1, y: 1, t: 1, s: 1}. What is prob of picking 1 s and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10*h**2 + 8*h + 3. Let y(d) = -d**3 - 2*d**2 + 1. Let w be y(1). Calculate the lowest common multiple of a(w) and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(110) + sqrt(110))\/((sqrt(10) + sqrt(10) + sqrt(10)*-1)*-1 - sqrt(10)) - (sqrt(99) + (sqrt(99)*-2*-1 - sqrt(99)))\/(3*sqrt(81)))**2.\nAnswer: 10571\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -383 + 697. Suppose 3*d - o = 5*d. Let k = d + 636. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1424 + 971. Let z = q - -465. Calculate the greatest common factor of z and 64.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, -2.985, 2\/65, 1\/6?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(78)\/sqrt(96))**2.\nAnswer: -5*sqrt(13)\/2 + 413\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -15*l + 13. Let a be s(6). Let m be (-91)\/a + (-2)\/11. Solve 2*g - m = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -18. Let y(p) = p - 3. Suppose 0 = -g + 3*q + 19 - 6, -5*q = -2*g + 27. Calculate the remainder when y(g) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55267445 (base 8) to base 5.\nAnswer: 11020443334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 3\/8*a**4 + 1\/12*a**6 + 0*a - 3\/10*a**5 - 1 - 1\/6*a**3 + 0*a**2. Factor i(g).\nAnswer: g**2*(g - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -13*l**3 - 796*l**2 - 960*l - 6. Give w(-60).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119780?\nAnswer: 2, 5, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371 a factor of 3771480314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by 18.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, -2\/9, 0.09, -35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -11, 4\/3, 5, 80.1 in descending order.\nAnswer: 80.1, 5, 4\/3, -0.3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t + 6*t**2 + 3\/2 + 1\/2*t**4 + 3*t**3.\nAnswer: (t + 1)**3*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8526*d - 11461*d - 3705*d - 3828*d + 6072*d to the form i + n*d and give n.\nAnswer: -21448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 416638325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000040000825 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -c0811?\nAnswer: -c0814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5988840 and 8376?\nAnswer: 5988840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -2.0376 (c) -9 (d) 5 (e) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*s**4 + 709*s - 101679?\nAnswer: -16*s**3 + 709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.826 + 7.73. Let a = j + 0.496. What is the third biggest value in 5, 3, a, -2\/39?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 552, 982, 1402, 1806, 2188, 2542?\nAnswer: 2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 5. Suppose -10 = -5*d, 9*z = 4*z + 5*d - 10. Solve a*u - u - 4 = z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386 + -441. Let d = -11 - i. Is 22 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**7\/350 - 3*l**6\/100 + l**5\/100 + 3*l**4\/20 - 2*l**2 - 23. Factor i(g).\nAnswer: -3*g*(g - 1)*(g + 1)*(g + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 70, 76, 62, 16?\n\"Answer: -2*a**3 + 8*a**2 + 4*a + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(-2\/3))**(23\/3)\/(r\/(r**(-4\/7)*r)*(r\/r**(-2\/11))\/r))**(-44) assuming r is positive.\nAnswer: r**(-54584\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -540004406 + -2.87.\nAnswer: -540004408.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33647189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/((-17)\/306*-66*28\/(-22))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p + 9. Let h be q(-1). Suppose 4*g + 972525 = -5*j - 1915500, h = 4*g + 2*j + 2888010. 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: Factor -2*v**3\/9 + 16*v**2\/9 - 32*v\/9.\nAnswer: -2*v*(v - 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 + 2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 186 and 184 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 - 59.9062. Let y = s - 0.2238. Which is bigger: y or -1.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-80))\/((-696)\/3712).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (59 + 6 - -3)) + 8 + (-6 - 1)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 276747067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -46?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-22)*40\/(-90)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1663 or 0.4?\nAnswer: 1663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 848 + 1660 + 656 = -113*p for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-768987)\/(-81) + (-44)\/12?\nAnswer: 2, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-4 - (4 + -6)). Let q(n) be the first derivative of -5*n + u*n**2 - 1\/4*n**4 - 1 + 0*n**3. Differentiate q(d) with respect to d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 65, 72, 71, 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8604313 to the power of 1\/2, to the nearest integer?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 17534?\nAnswer: 17535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/7 - 199238*m\/7 + 597696\/7 = 0.\nAnswer: 3, 99616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -407852 (base 10) to base 16\nAnswer: -6392c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 115476730 and -0.2.\nAnswer: 115476729.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7752 = -28*c + 16496. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*f**3 - 3736*f**2 + 10956*f.\nAnswer: 4*f*(f - 3)*(7*f - 913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 164*g - 40 = -168*g, 5*g - 50 = -2*z. Find h, given that 1\/2*h**5 + z*h - 1\/2*h**2 + 1\/2*h**4 - 1\/2*h**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/108 - (-34)\/(-9). Let d be y - ((-170)\/22 + 3). Factor 18\/11*i**2 - 24\/11*i + d.\nAnswer: 2*(3*i - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(363) + sqrt(3) + (sqrt(96)\/sqrt(2) - sqrt(3)) + -5)**2*3.\nAnswer: -1110*sqrt(3) + 12396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1132528820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5953*p**3 + 10597 wrt p.\nAnswer: 17859*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8981243*h - 8981203*h + 17962418*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - 14) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(363) - (sqrt(363) - -1*sqrt(363)))*4.\nAnswer: -88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 0*m**2 - 3\/20*m**5 - 12*m - 1\/25*m**6 - 1\/10*m**3 + 0 - 1\/5*m**4. Factor b(p).\nAnswer: -3*p*(p + 1)**2*(2*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s)\/(s*(s*s**(-1))\/s))**(-2\/5)*s\/s**(3\/2)*s**(-5\/4)*(((s*s**(-3\/7)*s)\/s*s)\/s*s)\/(s*s\/(s*s**(-4))) assuming s is positive.\nAnswer: s**(-893\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c + 2. Let w be h(7). Let u be 125\/45 - 4\/(-18). Suppose -w = -u*o - 19. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2 = -b, 4*b + 0 = 5*c - 5. Suppose b = -3*x - 5*u + 26, -3*x + 5*u = 2*u + 6. Let g be (-1 - 0)\/((-2)\/(-10)). Put -3, g, x in descending order.\nAnswer: x, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -1. Let j = 738 - 733. Which is the closest to r? (a) j (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -133, -82, 5, 128, 287, 482?\n\"Answer: 18*w**2 - 3*w - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -391, -1579, -3567, -6361, -9967, -14391, -19639, -25717?\n\"Answer: -p**3 - 394*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3.411497 seconds?\nAnswer: 3411497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let c be u(3). Suppose c*b - 921 = 2*f + 1292, 2949 = 4*b - f. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 34*f + 1. What is s(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -4. Let m be (6 - 5)*(-1 + q). Let j = 4 + m. What is the second biggest value in -3\/5, j, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 11, 24, 53, 104, 183, 296, 449?\n\"Answer: q**3 - q**2 - q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587512 is divided by 92.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/82 - -53\/2378. Let i = -0.0772 + -0.0228. Let z(b) = -b**3 + 43*b**2 - b + 45. Let m be z(43). Sort i, 1\/10, s, m in ascending order.\nAnswer: i, s, 1\/10, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l. Let k(q) = 15*q. Calculate 5*d(s) - k(s).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + m - 50 = 0. Let y(q) = q**3 - 7*q**2 + 3*q - 7. Let p be y(7). Solve -l - 5*r = -p, 15 + 7 = m*l + r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(5040) - sqrt(5040))*-6)\/((1*sqrt(640) + sqrt(640) - sqrt(40))\/(sqrt(72)*3)).\nAnswer: -11664*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 52 = -268. Suppose 5*x = 5*v + 55, 0*v + 19 = -x - 5*v. Calculate the highest common divisor of x and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 1. Let w be (i + -2)*-3*5. Let n(a) = -7*a + 4. Let l(t) = -22 - 5*t + 39 + 32*t - 12 - 20. What is w*n(m) + 4*l(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*h**3 + b*h**2 + 2435149*b*h - 7*h**3 + 9*h**2 wrt h?\nAnswer: 6*b*h + 2*b - 42*h + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 427838951 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14960970 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/5, -0.22, 2, 4, 1?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 2 f when four letters picked without replacement from kkmmmmfmxxxffmm?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 + -272 + (0 - (2 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -125090 (base 14) to base 5\nAnswer: -130103002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*t**3 - 217*l**2 - 15*l*t**3 + 12*l*t**2 - 2*l*t - t**3 wrt l?\nAnswer: 2*t**3 - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 309a316?\nAnswer: 309a316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2260?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7061 + 16*a**2 + 14269 - 7208.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/(-12) + (-1)\/3. Suppose l*k - 30 = 2. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 2*d**4\/3 - 3*d**2 + 12*d. Let n be y(2). Let t = n + 31. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353 + 32 = -5*g + 40*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4\/7, -0.03, -1\/7, -2536, -2\/21, 2\/19?\nAnswer: -2536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226*n**3 - 43*n**2 + 209*n**3 - 1 - 1 - 329*n**3.\nAnswer: -346*n**3 - 43*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*25\/(-225))\/((-2)\/(-261)*-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (20\/(-270)*9 - 38\/(-6))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178529596 divided by -2?\nAnswer: -89264798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 10 = 5*p, 5*p + 9*a = -10*a + a + 95 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/17 + 19124*p\/17 + 45715922\/17.\nAnswer: 2*(p + 4781)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpfbbeebeuvbbpfvpbb. What is prob of picking 1 u and 1 f?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85492, -342017, -769580, -1368193, -2137868, -3078617, -4190452, -5473385?\nAnswer: -6927428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 41. Let d(h) be the first derivative of -2*h**3 + 37*h**2 + 13 - 72*h**2 + a*h**2. Let x(r) = -2*r. Calculate d(x(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 3*l - 5*l + 0 + 2*l + 0 + (2 + 2 - 2)*(4 + l - 4))*(76*l - 789 + 392 + 396) in the form w + j*l**2 + g*l and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.078864187 rounded to three decimal places?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*r**5 + 39*r**2 + 39*r**2 - 75*r**2 wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*y**2 - 295*y - 5829 wrt y.\nAnswer: -16*y - 295","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (2 - (-1 + -2 + 5) - 6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3234632, 3234633, 3234634, 3234635?\n\"Answer: p + 3234631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 113 = -3*q, -255 = -5*x - 2*q. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-26)\/7)*(-3402)\/(-648) + -90?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*r - 1 + (-18*r + 8*r + 7*r)*(6 - 16 - 11).\nAnswer: 67*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*k + 8 + 16, 5*q - 36 = 4*k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 281740157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((((-720)\/(-24))\/(-5))\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161 (base 7) to base 6.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -29991, -30019, -30041, -30057, -30067, -30071?\n\"Answer: 3*v**2 - 37*v - 29957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1448 * -3.\nAnswer: -4344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 151754240 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -723170 + 1316?\nAnswer: -721652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5989 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 382 = 5*z - 63, 2*a + 188 = -3*z. Let t = -47 - a. Let r = t - 9. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 2\/3851, -18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 - 7. Let w(f) = 3*f**2 - f - 6. Let k(h) = -4*l(h) + 5*w(h). What are the prime factors of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -842289 + 0*p + 5*p + 0*p - 3*p.\nAnswer: 2*p - 842289","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0469298167 to five decimal places.\nAnswer: -1.04693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/50*5*15\/6. Suppose -4*f + 30 = -0*y + y, 0 = j*y - 5*f - 22. What is the remainder when 110 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1100010100001110100?\nAnswer: -1100010100001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3255*h**2 - 2*h - 2*h + 2528*h**3 + 4*h + 1541*h**3 wrt h.\nAnswer: 24414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*n + 2 = 0, 5*n = x - 18 - 1. Let j be (4 + 2)*(-5)\/x. Solve -j*h - 2 = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.01, -1\/14, -130.81, -1?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -930*r - 15802 = -2839*r + 72012 for r.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8) + 140\/(-112).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 3\/2*h**2 - 1\/3*h**3 - 6 + 4*h. Let b(w) = w - 2. Let u be b(6). What is q(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63844311?\nAnswer: 3, 181, 117577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 17 + d**4 + 6*d**2 - 8*d**2 - 20 in the form s*d + t*d**3 + v*d**2 + b*d**4 + u and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from hcccsllsschlhl.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 - 284. Let t = -0.2 + 0.7. Which is the nearest to -1\/4? (a) t (b) -1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -885, -879, -869, -855, -837, -815?\n\"Answer: 2*q**2 - 887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7792087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -15254 = -15250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/29550 and -41\/30.\nAnswer: 29550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2800)*-1 + sqrt(2800) + sqrt(2800)))\/(3*(sqrt(144) - sqrt(144)*1 - sqrt(144))).\nAnswer: 5*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373402 is divided by 9879.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5536*i - 1613*i - 1677*i - 1267*i = -106711 for i.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -279880 from -0.04.\nAnswer: 279879.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4) - 27\/6) + 1. Let g be -1*2\/u*(-12)\/(-32). Which is the third smallest value? (a) 3\/4 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**2*o - 67*m**2 + 1569*o**3 wrt o.\nAnswer: m**2 + 4707*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4 - -2)\/(2\/564). What is the greatest common factor of q and 282?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1527 (base 15) in base 8?\nAnswer: -10671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3201?\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 - 12*t + 30. Let x be c(9). Suppose -x*a + 87*a = 987. List the prime factors of a.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3.2, 0.7, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122255949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a**(-5\/2))\/(a\/(a*a**(-20))*a\/(a*a*a**(3\/13)\/a)) assuming a is positive.\nAnswer: a**(-449\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 107773987 and 333.1.\nAnswer: 107774320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56135 is divided by 7006.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of -h**7\/5040 + h**5\/10 - 12*h**2. Let z(y) be the third derivative of n(y). Let s(p) = -2*p**2. Give s(z(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*c**3 - 63*c**2 + 23*c**3 + 63*c**2.\nAnswer: 58*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -44, 5, -83, -4, 1 in decreasing order.\nAnswer: 5, 4, 1, -4, -44, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*m**3 + 243*m**4 + 2*m**2 - 247*m**4 + 24*m**3 wrt m.\nAnswer: -96*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -841 + 9 = -26*z. What is the greatest common factor of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 10:56 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3780464729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1198552424 and 74633.8.\nAnswer: 1198627057.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 89, -5\/3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 8*h**2 - 13*h + 7. Let a be j(6). Put -6, a, 8, 3 in decreasing order.\nAnswer: 8, 3, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 7)*(-3*l**4 + 3*l**4 - l**4).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 4*r**4 + 7*r - 2*r + (2*r**3 + 2*r**3 - 2*r**3)*(r - 2*r + 3*r) + 4*r + r**4 - 4*r to the form f*r**4 + d*r + x*r**3 + n + q*r**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 357 divide 4854129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 173015104521?\nAnswer: 173015104525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -85, -91, -97?\n\"Answer: -6*c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/6 - 9*i**2\/2 + i + 6. Let a(s) be the second derivative of c(s). Let w(o) = -4*o. Determine a(w(h)).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 25. Let d be f(-12). Suppose -o + 0 = -d. Solve 2*a = o + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-88)\/256)\/11*-8*(-11)\/(-88)\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10852, 21383, 31914, 42445?\n\"Answer: 10531*y + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 22*t. Let o be h(-22). Suppose m = -o*m + 1537. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -481128*t**2. Let m(g) = -19*g**2. What is m(l(o))?\nAnswer: -4398198895296*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 556*x**2\/3 - 2216404*x + 95672\/3 = 0.\nAnswer: 2\/139, 11959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.014097 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by -25.\nAnswer: 304\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.2948026 to zero dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.1 (b) 2\/3 (c) -1\/15 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.46418 and -547.\nAnswer: 800.90646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 60*d**3 + 9*d**2 + 7*d - 5. Let y(x) = -30*x**3 - 4*x**2 - 3*x + 3. Let u(t) = -4*o(t) - 9*y(t). Find the first derivative of u(z) wrt z.\nAnswer: 90*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 3410, -4, 3 in ascending order.\nAnswer: -5, -4, 0, 3, 3410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136624?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 9. Suppose -k + 111*u = 112*u + 1906, u - 5726 = 3*k. What is the tens digit of (-3)\/b*k\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 2, -5, -2.\nAnswer: -5, -2, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2140214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*n**3 + 180*n**3 + 189*n**3)*(-2 + 1 - 4).\nAnswer: -1315*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -3*w**7\/70 - w**6\/10 + 9*w**5\/20 + 3*w**4\/4 - 4*w**3 + 4*w**2 + 1. Solve t(g) = 0 for g.\nAnswer: -2, -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66.3 - 66.8. Let p = -14 - -9. Sort 3, p, q in ascending order.\nAnswer: p, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s + 154. Let j(c) = 42*c + 885. Let i(u) = -4*j(u) + 23*p(u). Let t(v) = v**2 + v - 2. Let y be t(0). Give i(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 9*m**2 + 9*m + 69. Calculate h(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 607, 1214, 1821?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*o + 71. Suppose 2*g + 19 = -7. What is the common denominator of g and 378\/8 - (-8)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 17*n + 4. Let m be a(-17). Is 7\/m*(49 - 9) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 1. Let g(k) = -11*k + 2. Let j(n) = -3*f(n) - g(n). Let r be j(2). What is the highest common factor of r and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7619 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -15. Let p be 2 - 0 - (-2 - m\/(-1)). Let k(u) = -u**3 + 4*u**2 + u + 7. Determine k(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/84 and 17\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -158.28 - -0.06\nAnswer: -158.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -b**6\/270 + 2*b**4\/27 + 7*b**2 - 48. Factor n(a).\nAnswer: -4*a*(a - 2)*(a + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -41aa9 - -14?\nAnswer: -41a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.124 + -6.876. What is the nearest to -1 in -5, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88 and 623596.\nAnswer: 13719112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-2)**2 + 0 - (-4 + (sqrt(12)\/sqrt(4) - sqrt(3))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*i = 18*i. Let r be -3 + ((-880)\/(-76))\/4. Which is bigger: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-375)\/450)\/(25\/(-30)) - -1*(-90)\/48?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 3 - -13 - (12 + -19 - -12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2)*(1 - 0). Let s be u\/10 - 11\/(-5). Suppose -7*z + s*z + 20 = 0. What is the closest to -1\/4 in z, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 25, -57772, 7, -4, -1 in decreasing order.\nAnswer: 25, 7, 3, -1, -4, -57772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 - -66.5. Let v = 0.5 + m. Which is the closest to v? (a) -5 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42088, 84201, 126314, 168427, 210540?\nAnswer: 252653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 416 + 118 = -3*z, -2*v - 3*z = -366. Suppose -22*a - v = -20*a. Let d = -74 - a. What is the remainder when 62 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -237\nAnswer: 71.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((4\/15)\/2 + (-1896)\/(-360))?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133977009 divided by 8661\nAnswer: -15469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 j when four letters picked without replacement from {v: 4, j: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -56*p - 361. What is q(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 156*j**3. Let f be p(-1). What is the tens digit of 6\/(-15) + f\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216 - 229 + 2*v + v.\nAnswer: 3*v - 445","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 31*t + 8. Does 10 divide v(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - 184\/(-304).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*n + 125*n - 180*n)*((2 - 3 + 3)*(1 - 1 + 1) + 0 + 6 + 2).\nAnswer: -2370*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7 and -35\/17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 734 - 732. Put n, -9, 3, 4 in descending order.\nAnswer: 4, 3, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29986.23 - 29988. Which is the smallest value? (a) 0.3 (b) -6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -z - 5*d + 9*d, 5*z - 25 = 2*d. What is the closest to -7 in 9, z, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 86152186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k**3 - 72*k**3 + 35*k**3.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14828954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**5\/240 - 13*q**4\/32 - 37*q**3\/12 + 7*q**2 - 40*q. Factor w(c).\nAnswer: -(c + 2)*(c + 37)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 i when three letters picked without replacement from ppippip.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355820\/12256 + (-112 - -7)?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 3*q**2 + q. Suppose -f + 3*b = 6, 0 = b - 3 + 2. Let w be d(f). Suppose -8*y + 3*y = 10. Which is smaller: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -178402 * -9.51.\nAnswer: 1696603.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z + 6. Let f be a(-9). Solve -10 + 28 = f*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -37.04. Let f = r - 1.67. Let h = f - 1.13. Round h to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.126 + 11.674. Round i to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**4\/4 + 17*h**3 - 99*h**2\/2 + 49*h - 574. Factor d(a).\nAnswer: -(a - 49)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.670867 litres in millilitres?\nAnswer: 2670.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 times -1614317\nAnswer: 19371804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 638 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/34 + 114466\/187. What is the highest common divisor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -8. Let d(t) = 5*t + 3*t**2 + 5 - 2*t**v - 1. Give d(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174806 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - (4 - -99))\/(2\/(-4 + 14)). Is q <= -2421\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9*3\/(-3)*-9. Suppose i = -2*i + k. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.5. Let o = 286.55 - 286. Let v = o - 2.55. Which is the nearest to -2? (a) v (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441447532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + 0 + (-27 + 11 + -7 - -34).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/10)\/n)\/(n*n\/n**8*n))\/(n**(-27)\/(n*n*n\/n**(11\/2)*n)) assuming n is positive.\nAnswer: n**(147\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -0.3, -4, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-54)*-6)\/((-12)\/(-9) - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - 105*f - 2*f**4 + 105*f)*(-f + 2*f + f).\nAnswer: -4*f**5 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2)\/(6\/22). Let d = l - 15. Is d\/(-10) + 3378\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/23 + 1685\/621. Let i(f) be the first derivative of h*f**3 - 2\/45*f**5 - 4\/3*f**2 + 3 + 16\/9*f + 1\/6*f**4. Suppose i(z) = 0. What is z?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 240840 and 30105.\nAnswer: 240840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-7)*(21 - (-1168)\/(-60)) - 4. Put 190, x, 1 in decreasing order.\nAnswer: 190, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3\/4 (c) 1 (d) 2\/5 (e) 6\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 9*j + 22. Let h be (88\/(-16))\/(1\/(-2)). Let o be t(h). Suppose o = -a + 217 - 30. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1\/7, 67 in decreasing order.\nAnswer: 67, 19, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2993226 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 19*t**2 - 259*t + 151. Let r(a) = -3*a**2 + 43*a - 25. Let w(x) = -6*n(x) - 34*r(x). Let w(p) = 0. What is p?\nAnswer: 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6937 and 10901?\nAnswer: 76307","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12573 is divided by 932?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -0.06 (c) -4360 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -854, -4, -2, 3, 7, 1380 in decreasing order.\nAnswer: 1380, 7, 3, -2, -4, -854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(23\/3 - 444\/(-148)). Solve v - 9 = 5*r - 28, 0 = -4*v - 3*r + g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -4*a, -3*y + 10 = -0*a - 2*a. Let c(n) = y*n - 8 - 3 + 2. Suppose -2*w - 16 = -2*f - 0*f, -5*f - 5*w + 20 = 0. Calculate c(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/2*m**2 + 3\/4*m**3 + 0*m - 3\/4*m**4 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2868*z = -2828*z - 211200. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.343, -429, -0.2, 2 in decreasing order.\nAnswer: 2, -0.2, -0.343, -429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = -2*q - 0, 4*f + 4 = -3*q. Let t be (21\/(-42))\/(f\/6). Suppose -3*v - y = -5*v + 6, 3*v - 22 = -5*y. Solve 0 = t*n + 2 + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100001010001110000 (base 2) to base 12\nAnswer: 27a354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.11 - -0.39. Let x = -0.1 + m. Let d = -0.1 + x. Which is the third biggest value? (a) d (b) -3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 1\/3 (c) -0.01 (d) -16\/17 (e) -2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2901 is divided by 768.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-4 + sqrt(48) - (2 + (sqrt(3) - sqrt(6)\/sqrt(2))**2)).\nAnswer: -32 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/19)\/(y*y**(2\/15))*y*(y\/(y*(y*y*y*y**(-9)*y)\/y*y))\/y*y*y*y*y*y**(-6)*y*y assuming y is positive.\nAnswer: y**(1072\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3913 and 0.26.\nAnswer: -1017.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 + 741 + 349 = -76*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 25. Let l = -10 - i. What is the least common multiple of l and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((274 + -1)\/3 - -4). Let v = -71 - q. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 759 is divided by 444.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:27 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dya when three letters picked without replacement from {v: 1, d: 10, j: 1, y: 2, a: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(22\/3)\/f*f*f*f*f*f)*f)\/(f*f\/(f**28\/f*f))*(f**(-12\/11))**31 assuming f is positive.\nAnswer: f**(-599\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.304, 1, -5, -285, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 503 = 175 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 114*k + 24. Let g(u) = -23*u - 5. Let t(w) = 24*g(w) + 5*p(w). Let f(x) = 33*x**2 - 38*x**2 + 4*x**2. What is t(f(h))?\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5457198190596+-19\nAnswer: -5457198190615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x - 5. Let d be y(7). Let l(k) = k**2 + 6*k - 4. Let w be l(-7). Find the common denominator of 63\/2 and ((-92)\/d)\/((-8)\/w).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 20, -27, 4 in ascending order.\nAnswer: -27, 0, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*((-5)\/(-2))\/5. Suppose 3*x - n = 195, -x + v = -n - 55. Let w = 119 - x. Is 23 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.8 + 18. Let y = -42 - -61. Let r = -20 + y. Which is the closest to r? (a) -3 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 586*h**2 - 69*h**2 + 436*h**2 - 176*h**2 + 7*h + 311*h**2.\nAnswer: 1088*h**2 + 7*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 439\/633142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82690425 to the nearest integer?\nAnswer: 9093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 6\/17, -222, 0.1?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 37, -643?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23720.5378 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p + 232 = -86 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -4*x**2 - 19. Let z(s) = 2*s**2. What is z(p(a))?\nAnswer: 128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)*(-4 - 3). Let o = c + -2. Differentiate -j**4 + 2 + 2 - o with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66238913.\nAnswer: 13, 1699, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -26. Let h(v) = 20*v**3 - 1. Calculate the remainder when 56 is divided by h(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 4, -0.07, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398349 is divided by 258?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 15*o**2 - o + 3. Let n be c(-16). Let i be 4\/(-10) - (-11)\/(n\/2385). Let b = 155 - i. What is the greatest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 2. Let d be v(2). Let n(j) = 6*j + 29. Let f be n(-5). What is the common denominator of 5*f\/(-11)*d and 12\/7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -895321, -1790643, -2685965, -3581287?\nAnswer: -4476609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3522 - (-3)\/6*-6. Suppose -2*u - 7*u = -k. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 301*s + 554. Let j be u(0). Which is smaller: j or 561?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -55 + -1303?\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22527 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41193475.\nAnswer: 5, 97, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63531, -63530, -63529, -63528?\nAnswer: -63527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - -6*(sqrt(1872) + (-1*sqrt(1872))**2)) + (sqrt(1872) + sqrt(1872)*1)*2.\nAnswer: 132*sqrt(13) + 11232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 4)\/(-2*(-2)\/(-8)). Let j be b\/((-3)\/6*(4 - 2)). What is the units digit of (-6)\/(-4*-2*j\/152)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/3 + i**2\/2 + i + 711. Let v(a) = -24*a**2 + 10*a + 10. What is 10*p(r) - v(r)?\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 - 13 - 6)*(-2*h**2 + 2*h - h**2 - 2*h**2 + (1 - 1 - 1)*(-3*h**2 + 2*h**2 - h**2) + 9*h**2 - 7*h**2 + 7*h**2).\nAnswer: -138*h**2 - 46*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v - 2. Let f(p) = p - 1. Let k(n) = 6*f(n) - 3*r(n). Let b(w) = -w**3 - 7*w**2 + 7*w - 14. Let o be b(-8). Is 9 a factor of k(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 902, 4044, 9284, 16622, 26058, 37592, 51224?\n\"Answer: 1049*i**2 - 5*i - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*t - 93. Suppose 0 = -2*x + t + 199. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111 - 10111010001111110?\nAnswer: -10111010001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 5) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/365800 and 37\/20.\nAnswer: 365800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 550.22603 and -0.3378?\nAnswer: 550.56383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/12 - 2*o**3\/3 - 2*o**2. Let s = -262 - -247. Calculate the remainder when 49 is divided by t(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14824 divided by 8?\nAnswer: 1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 19. Suppose 4*r = u*b + 822 + 3592, b = -r + 1099. Let m = -785 + r. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14827 - -14832. Let g = 2 + 0. Solve 11 = g*r + 3*o, 0 = r - h*o + 5 + 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -49. Let o(a) = -a**3 - 4*a**2 + 32*a + 5. Let y be o(4). Let w be (3\/1)\/(y\/175). Calculate the greatest common divisor of w and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5977.659769 + -0.020352.\nAnswer: 5977.639417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 132245 - 46345?\nAnswer: 52600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 192676837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13551485.\nAnswer: 5, 23, 117839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0182 times 3\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 267 divided by -2084\nAnswer: -267\/2084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*l**2 + 3*l**2 - l**2)*(2*l - 2*l - 2*l) + (-6 - 4 - 2)*(3 + 4 - 6)*(0*l**3 + l**3 + l**3))*(l**2 + 0*l**2 - 2*l**2).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 97.2126 minutes?\nAnswer: 5832756000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let k(t) be the first derivative of -5\/2*t**2 - 4 + 0*t. What is k(g(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*(0 + sqrt(3)) + -4)**2 - 6*(sqrt(3) + (sqrt(300) + -1)**2 - (sqrt(12) + 1 - sqrt(12))).\nAnswer: -1781 + 122*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 8*h**2 - h. Let d be b(-8). Let o = d + -3. What is the second derivative of -18 + 18 + o*r**3 - 2*r wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 - 5*u + 3. Let g be h(3). Let n be (-4)\/(-10) - (-54)\/g. Let z(w) = -w - 5. Let r be z(-6). Sort r, n, 5.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbtblsppbpb. What is prob of picking 1 p, 1 l, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-875)*35)\/(9\/75).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**5 - 27*d**4 + 665*d**3\/8 + 491*d**2\/8 - 357*d\/8 + 49\/8 = 0.\nAnswer: -1, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.409978 millimeters?\nAnswer: 0.000000409978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223901278 to the power of 1\/2, to the nearest integer?\nAnswer: 14963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 + -396. Let l = c - 227. What is the remainder when 46 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - 151. Let d(t) = -3*t + 1. What is the remainder when h is divided by d(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45263613 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 + 12*i + 19. Let r be n(-3). What is the nearest to -2\/11 in 5, 2\/15, r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 82 + 45 + 57 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x + 3 = 2*j, -2*x - 6 = j. Solve -2*z - j = -0*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90898*i + 90897*i - 82 = 25*p, 5*i - 74 = -4*p for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292351235 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11957 and 2.\nAnswer: 23914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0*r**4 + 0 + 264*r + r**3 + 0*r**2 + 2\/5*r**5. Let y(i) = i**3 + i. Give q(l) - 4*y(l).\nAnswer: 4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*a = 17037 - 17197 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 190230 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 12}. What is prob of sequence wbw?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26553 = -15743*y + 1594976 for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 158861009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29187414 is divided by 2653401?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90, 347, 774, 1371, 2138?\n\"Answer: 85*j**2 + 2*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(143) + -4*4*sqrt(143))\/sqrt(11))**2 + 4.\nAnswer: 2926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 27*l = 32*l + 7673, 2*d - 4*l = 15352. List the prime factors of d.\nAnswer: 2, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26399.\nAnswer: 26399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*c - 35*c - 35*c - 38*c.\nAnswer: -125*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -8, -28, -66, -128?\n\"Answer: -m**3 - m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -89, -145, -201?\n\"Answer: -56*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -35. Which is the second biggest value? (a) x (b) 2 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24116 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004935 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-250)\/(-12) + 74\/444. Sort b, -4, -2, 5 in decreasing order.\nAnswer: b, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 217899000 = -29*l + 6*l. Round l to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y + 1835. Is t(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015.\nAnswer: 3, 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217572 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14720 - -22033. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337 = u - a, -6*a + a = -2*u + 677. Find the common denominator of 19\/28 and 1\/(-3) + (-6 - (-2404)\/u).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44385.78 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/(-4))\/((-90)\/(-36)))\/((-1)\/(-56))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.5 and -3319104?\nAnswer: 3319105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612)*-2*-5 + sqrt(612))) + 4 + sqrt(612)*-2)**2 - 3*(-2*sqrt(612) + 1)**2.\nAnswer: -504*sqrt(17) + 80797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245 = g + 9*g - 95 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1120*o**3 - o**2 - 11*o + 2. Let i be q(3). What is i rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**2*w**3 - 3*u**2*w**2 + 932*u**2*w - 1425*u*w**3 - 16*u*w**2 wrt u.\nAnswer: -10*w**3 - 6*w**2 + 1864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -330468 or -2313270\/7?\nAnswer: -2313270\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**2 - z. Suppose 6*t - 148 - 68 = 0. Suppose 86*f = 90*f + t. Let c(k) = -k**2 + k + 9. Determine f*i(p) + 2*c(p).\nAnswer: -2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10. What is the units digit of (-1)\/1*(-9 + d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -597 + 624. Solve -6*r + s - 3 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 776749.3 kilometers?\nAnswer: 776749300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:35 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 223223010031 (base 4) to base 13\nAnswer: 24ab019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 56 (c) -0.4 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(132)\/sqrt(12))*-4 - (sqrt(55)*5)\/sqrt(5).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -5. Let v(k) = f*k**3 - 5*k**3 - 1 - 6*k - 7 + 0*k - k**2. Let b(i) = -i**3 + i**2 + 5*i + 7. Determine 6*b(l) + 5*v(l).\nAnswer: -l**3 + l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(251*x - 86*x - 21318*x**2 - 80*x - 85*x).\nAnswer: -42636*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -4*g - 4. Let r(k) = -7*k - 7. Let v(o) = o + 1. Let p(i) = -3*r(i) - 12*v(i). Give -3*p(h) - 7*t(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w. Let q(s) = 77*s**2 - 8607. Give q(h(g)).\nAnswer: 77*g**2 - 8607","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = -57*c + 3801 + 13953. Calculate the remainder when c is divided by (56\/6)\/(1\/3).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8*15\/660).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-8)*8\/40.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94164.\nAnswer: 2, 3, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 68*t**2 - 953*t + 93. Calculate i(-45).\nAnswer: -3597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -3*x**2 - 3\/8*x**4 - 7\/60*x**5 - 11\/6*x**3 + 0 + 0*x + 1\/120*x**6. Let l be (-10)\/3*24\/(-10). Give f(l).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*f + 35*k = -1645*f - 16*k + 244, -22 = -f - 3*k for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekzl when four letters picked without replacement from {a: 8, k: 1, i: 4, e: 1, z: 4, l: 2}.\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 615*z - 617*z - 3, 5*z = 8*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2 - 49*y - 2. Let g be i(1). Let r = -34 - g. What is the remainder when r is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u - 8 + u + 0*u + 2 wrt u.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gisrp. What is prob of sequence ri?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l - 19. Let s be r(24). Suppose k + 5*t - 35 = 0, -k - 3*t + 0*t + 41 = 0. Calculate the highest common factor of s and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrbrrrrbrr?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571615957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10113.\nAnswer: 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5\/5 + 922648*x**4\/5 + 922624*x**3\/5 - 4613208*x**2\/5 + 2767932*x\/5 = 0. Calculate x.\nAnswer: -230661, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1489, 2938, 4455, 6040, 7693, 9414, 11203?\nAnswer: 13060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let t(v) = -4*v**2 + 1. Let s be t(-1). Let r(q) = q + 6. Let y be r(s). Let d(i) = -i**2 + y*i**2 - 4*i**2. Calculate d(w(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*d**2 + 631*d**2 + 651*d**2 + 650*d**2.\nAnswer: 1887*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515982681 to the power of 1\/2, to the nearest integer?\nAnswer: 38936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, -1, 1.44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/13)*f)\/f)**(-13)\/(f**23\/(f**(-2\/33)\/f)) assuming f is positive.\nAnswer: f**(-761\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/425*147 - (2 - 8)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4.1 (b) -4 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 40, -3, 0, -19 in descending order.\nAnswer: 40, 0, -3, -19, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3948119, -7896237, -11844355, -15792473, -19740591?\nAnswer: -23688709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -148434?\nAnswer: 1\/74217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 1. Let k(g) = -g**2 - 5. Let a(h) = 5*i(h) + k(h). Let u(r) = 2*r - 5*r - r. What is u(a(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-12)\/120 - 66\/(-140). What is the closest to 3\/7 in -8, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/96*(-12)\/(-9)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 10*q - 638. Calculate the remainder when 240 is divided by q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2242*z + 31395. Determine f(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5\/7. Sort y, -0.1, -4\/3.\nAnswer: -4\/3, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -234 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22\/9 (b) -3 (c) -0.03 (d) 3 (e) -4\/159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12005 - 23561 = 321*d for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-18))**(27\/5) assuming d is positive.\nAnswer: d**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 99*l**2 + l - 3. Is j(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 28*p + 202. Calculate x(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1712?\nAnswer: -1712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a + 5. Suppose 2*d - 67 + 1 = 0. Let f = 33 - d. List the prime factors of c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1981*f + 1985*f + 1416. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6054 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -12. Let g = c - -13. Calculate the greatest common factor of 6 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155, 141, 117, 89, 63?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10030856 divided by -1?\nAnswer: -10030856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -4075 to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -14450*p**3\/3 - 2048*p - 2816. Differentiate s(g) wrt g.\nAnswer: -28900*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2650 is divided by 177?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1789 + 0.0211. What is the second smallest value in m, 2.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/1279 (b) -5\/16 (c) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 414 - 378. What is the lowest common multiple of t and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**5\/15 - w**4\/6 + 3*w**2\/2 + 6*w. Let y(q) be the first derivative of t(q). Factor y(l).\nAnswer: -4*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625933?\nAnswer: 7, 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 65.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, r: 4, b: 1}. Give prob of sequence rff.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*i**2 - 47*i**2 + 22*i**2 - 87*i**2 - 44*i**2.\nAnswer: -122*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*((-6)\/(-5)*-5)\/1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -159\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 4*c + 6. Let x(o) = o - 1. Suppose -5*w + 11 = -9. Let k = 31 - 23. Suppose -4*p = -k*p - w. Determine p*q(a) - 5*x(a).\nAnswer: -2*a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - 8. Let p(d) = 128 + d + 171 - 307. Calculate p(v(q)).\nAnswer: -5*q - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 613 + -2453\/4. Let h = 0 + -0.2. Let f = -0.7 - h. Sort s, -4, f.\nAnswer: -4, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(9\/(-3)) - 3. Which is the closest to -0.6? (a) 1\/6 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**5\/12 - 5*z**4\/6 - 10*z**3\/3 + 18*z**2. Determine l, given that m(l) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -420*f**2 + 1239*f + 18. Determine x(3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*w**2\/4 - 147785*w\/4 - 1739235 = 0. Calculate w.\nAnswer: -47, 29604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 7 = -15. Let k = 38 - 18. Let a = 42 - k. Calculate the smallest common multiple of h and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14142230 (base 5) to base 9\nAnswer: -243040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g - 2. What is u(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53532 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2825 is divided by 159.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 63*x + 608. Let o be y(51). Sort -12, o, 0.\nAnswer: -12, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 1, -8, -19?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 29 + 36 = 9 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/(-8)*0\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2284*y + y**3 + 2055*y + 1792*y.\nAnswer: y**3 + 1563*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5608 + 7537 = -5*t. Let m = 13096\/5 + t. Let c = 5\/27 + 934\/351. What is the common denominator of m and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u + 32 = 0. Solve u = -6*k + 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*j + 83, r + 1 = -0. Let w = 28 + j. Let v = 2 - 1. Calculate the highest common divisor of v and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (517\/329)\/((-2)\/14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5177227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 7*a + 10. Let b be x(-5). Suppose -6*r + b = -24. Find the common denominator of (-1902)\/120 - r\/10 and -31\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45, -0.181, -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h + 2. Let a be n(2). Let b be (a + 1)*(3 + 5). Let j = 11 - b. Solve -q + j = -0*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (429\/(-44))\/(9\/(-480))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2353911512 to the power of 1\/2, to the nearest integer?\nAnswer: 48517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123959 = 1156*b + 311*b - 28604 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 45\/2*q**2 - 3\/2*q**3 + 243\/2 - 189\/2*q = 0. Calculate q.\nAnswer: 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 269, -2\/5, -13\/17, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279\/2170*-10*2\/6.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 628 and 1324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*m + 89. Let w = -17 + m. Suppose -10 = -w*i + 92. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29832491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9410.\nAnswer: 2, 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/6)\/((-232)\/6). Let d be 1551\/(-870) - (0 + -2). Let j = m - d. What is the closest to -0.1 in 4, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*q + b + 6, 0 = q - 4*b + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8539209 divided by -1219887.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7430, 14746, 22062, 29378?\nAnswer: 36694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*v**3 - 29*v**3 + 47*v**3 + (3*v**2 - 1 + 1)*(-v + 1 + 2*v - 5*v).\nAnswer: -28*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Divide 7809540 by -2603180.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*t - 4*u - 23 = 0, -2*t = 4*u + 22. Let g(k) = -k**2. Let w(s) = s**2. Let f(h) = 5*g(h) + 6*w(h). Determine f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1906*d**4 + 1988 wrt d.\nAnswer: -7624*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25 - -41. Suppose 3 - 2 = 5*v - 2*j, -6 = 4*v - 5*j. Let g be ((-102)\/9 + -2)*v*-3. What is the greatest common factor of g and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 153 = -5*f, -4*c = -0*c - 8. Suppose -13080 = -25*m + f*m. Round m to the nearest 100.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 469 - 194. Let p be ((-10)\/w*-10)\/(2\/1). Which is the nearest to p? (a) -0.2 (b) 3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4110527936 to the nearest integer?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 27 + 10*r**2 + 5*r**2 - 23*r**2 - 43 + 7*r**2.\nAnswer: -r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Suppose 2*z - f = c + 6, -2 = -z - c. Suppose z*v + 28 = 156. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2474*y = -1119*y - 5315*y + 53448 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 131. Suppose 2*q - y - 35 = p, 5*q + 2*y - 269 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62125341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(475)*2)**2 - (4*-1*sqrt(475))**2.\nAnswer: 60800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(4 + -6) - -3. Suppose -j*o - 65 = -9*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7714*i**2 - 7. Let h(o) = 15*o. Give h(k(s)).\nAnswer: -115710*s**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 458.468982 to the nearest ten.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 4*v**2 + 2*v - 8. Let r be ((-1)\/(-9))\/((-9)\/27)*6. Let w = r - 4. Let n be d(w). Calculate the highest common factor of 468 and n.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 350893 (base 11) to base 15.\nAnswer: b026d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 768 + 5?\nAnswer: 76d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-47)\/(-141))\/((-3)\/(9\/3)). Let g = -5 - -4.6. Let y be -2 + (7\/2)\/1. Which is the third biggest value? (a) y (b) -0.1 (c) g (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {p: 11, y: 6, r: 2}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 820524*q + 197931.\nAnswer: 820524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -608 - -768. Calculate the remainder when c is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4 = 0, -2*g - 2*g + 1084 = 3*r. Let a be (g\/10)\/((-2)\/(-5)). Is a equal to 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 + x**2 - 7*x - 8. Let a be v(-1). Let q be 208\/126 + a + 70\/(-315). What is the nearest to 2\/7 in -4\/3, -2\/9, q, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-8.36\nAnswer: 0.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 115*h**2 + 117*h + 349. Calculate the remainder when 0\/1 - (-18 + -1) is divided by r(-114).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*((3 + sqrt(162)*2)**2 - ((sqrt(162) + -1)*-5 + sqrt(162)) - (((2 + sqrt(162))*2)**2 + -5)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 3*g + 4. Let b be j(0). Suppose 0*s = -2*s - b*x - 12, s - 5*x = -27. What are the prime factors of (-18)\/(-1 - 0)*(-68)\/s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 0*l**3 + 0*l**4 - 53 - 141\/5*l**5 - 69*l + 0*l**2. What is the first derivative of f(b) wrt b?\nAnswer: -564*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 0*t**2 + 0*t**3 + 3\/2*t**4 - 2*t - 5. What is the first derivative of d(g) wrt g?\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 7. Solve -3*i = -b - 16, 15*b - 14*b + j = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6973591?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2731 = 124. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/(-9)*-3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(176\/24)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u - 65. List the prime factors of m(24).\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10080)\/(-3696))\/(165\/(-1089)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.225433023 to four dps.\nAnswer: -0.2254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*u - 13, -2*b - 3*u = -84 + 32. Suppose -4*d - 52 = 2*x, -d - 3*d = -3*x - 28. Let a = b + x. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -874 - -2625. Let i = -1750.99998643 + z. Round i to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 616\/87 or 7?\nAnswer: 616\/87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-2460)*(-50)\/(-30).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.042 + 0.042. Is -0.2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181461251?\nAnswer: 181461251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1683 and 120?\nAnswer: 67320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18800 or 18807?\nAnswer: 18800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9665\/2 + -4790. Let c = 53 - 11. Which is greater: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**6\/2880 + 5*r**5\/192 - 13*r**4\/96 - 23*r**3\/6 - 220*r**2. Let v(l) be the first derivative of d(l). Factor v(y).\nAnswer: (y - 1)*(y + 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -112\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*u**2)*(-6*u**3 - 7*u**3 - 7*u**3).\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4686 and 1278?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1250495464 - -9.63\nAnswer: -1250495454.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 627148 divided by -4.\nAnswer: -156787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, -26\/43.\nAnswer: -26\/43, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y - 2. Suppose -1 = 2*g + 13. Let f = g + 12. Suppose 9 = -f*c - 6. What is q(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2019*31\nAnswer: -6.2589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1573*n**2 - 808*n**2 - 6*n + 6*n - 2*n - 773*n**2.\nAnswer: -8*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/344 and 99\/832.\nAnswer: 35776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/7 + 39*l**4\/7 - 110*l**3\/7 + 72*l**2\/7 = 0.\nAnswer: 0, 1, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -196182*b**2*f**4 + b**2*f - b**2 - 42*b + 6689 wrt f?\nAnswer: -784728*b**2*f**3 + b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3786574 to the power of 1\/2, to the nearest integer?\nAnswer: 1946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 7*p**5 + 9*p**4 - 3*p**3 - 11*p**2 - 5*p + 5. Let g(o) = 8*o**5 + 10*o**4 - 2*o**3 - 10*o**2 - 6*o + 6. Let a(l) = 6*b(l) - 5*g(l). Factor a(y).\nAnswer: 2*y**2*(y - 2)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1215356*f**3 + 2156991*f wrt f.\nAnswer: 7292136*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/32 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p**(2\/3))))**26\/((p**(-4\/3)*p)\/(p\/(p**1*p))) assuming p is positive.\nAnswer: p**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3528)\/(-66) + 41 + (-28480)\/704.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-6) - (385\/(-21) + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2793 - -2792.998337. Round y to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 1, g: 1, x: 1, a: 1}. Give prob of sequence gax.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -883464.7494 rounded to the nearest ten?\nAnswer: -883460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -437 + 1163. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 10 = 5*p, 4*p = 3*p + w + 2. Suppose -p*m + 4*m = 6. What is the units digit of 1\/m - 15\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121, 895, 2951, 6925, 13453, 23171?\n\"Answer: 106*t**3 + 5*t**2 + 17*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 684b9 (base 13) to base 4.\nAnswer: 232111022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 17 = -3*z - s, 5 = 5*s. Let t(x) = -x**2 + 7*x - 7. Let u be t(z). Solve -j - 7 = -u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19948*v**4 + 8737*v + 2 wrt v.\nAnswer: 239376*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than -343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16490748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - ((4 - (6 + -5)) + (2 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21 = 4*s, -3*s + 4*b - 6 = 2. Let k be (9 + s)\/((-1)\/(-5)). Is k greater than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6536138 and 1148?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -22*n + 1. Let v be g(1). Let s = 43 + v. Let i(c) = -c**3 + 6*c**2 - 4*c - 1. What is the least common multiple of i(5) and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(21\/(-4)) - 27441\/(-378). Let y = s + -73. What is the smallest value in 2, -2\/7, y, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**3 - 14*s**2 - 22*s - 8. Give k(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 566*g**3 + 4358*g**3 + 3403*g**3 + 2050*g**3.\nAnswer: 10377*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/(-8) + 4\/16. Find s such that -4*s**3 - 2*s - s**4 + 1 + 9*s**3 + s**2 - 1 - y*s**5 = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = 2*i, 2*w - 5 = i - 16. Let v(p) = -p - 10. Let o(g) = 3. Let f(j) = 7*o(j) + 2*v(j). What is f(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.62 - 55.74. Round f to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, 47, 112, 173?\n\"Answer: -2*t**2 + 75*t - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.8 - -23. Which is the nearest to y? (a) 2 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 + 0*g**3 - g**3 + (-2*g**3 + 3*g**3 + 2*g**3)*(-278 + 170 + 308).\nAnswer: 601*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + 0 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-138)\/(-4)*(-4)\/(-6). Let d be (-399)\/(-18) - 4\/24. Does i = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-3))\/(1\/(-7)). Let v be (x - 8) + (15054\/(-3591))\/(-2). Let p = v + 2\/133. Which is greater: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/371? (a) 2 (b) 3 (c) -0.05 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 27.14. Let o = -34 + d. Which is bigger: o or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-49)*(n*(n\/(n\/(n**(-8)\/n)))\/n*n)\/(n*n**(-2\/15)))**(2\/3) assuming n is positive.\nAnswer: n**(1204\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-35) + 15\/7. Let l be -8*((-39)\/6 - (-3 + i)). Let r = l - 23. Calculate the smallest common multiple of 30 and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 770999 - 1414000. Let u = 2155297 + p. Let w = u - 292296. What is w rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(-6*h**2 - 9*h**3 + 6*h**2) + (3*h + 0*h - 4*h)*(0*h**2 + 3*h**2 - 2*h**2) + 35*h**3 + 8*h**3 + 48*h**3 + 1 - 1 - h**3.\nAnswer: 98*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -5, -1, -453?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 5. Let n be y(4). Sort n, 0, 1.\nAnswer: 0, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -3*z - 78, -5*z + 3*c = -0*z + 106. Let y = z - -28. Suppose -2*f = -y*f + 177. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)*x\/(x**(2\/13)\/x)*x*x*(x\/(x\/(x*x\/(x**(4\/17)\/x))))\/x*x\/x**(12\/5)*x assuming x is positive.\nAnswer: x**(16169\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241 - 277 = 6*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-2.375\nAnswer: 1.6625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 17, f: 2}. What is prob of picking 1 m and 1 f?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a. Let o(g) be the first derivative of g**2\/2 + 4. Give o(v(c)).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-12\/5)*m)\/(m*m**(-2\/65)))**46)**(3\/8) assuming m is positive.\nAnswer: m**(-5313\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1370192 plus 380.03?\nAnswer: -1369811.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(24)\/(sqrt(12) + -2*sqrt(12))).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20821 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348, 356, 378, 420, 488, 588, 726?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8135393341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:06 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 193258187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2066.166193 to the nearest 10.\nAnswer: -2070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(1 + 9 - 7)*(2*b - 2 + 2) + (2*b - 4*b + 3*b)*(-1 - 4 + 11) - b + 5*b - 3*b.\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -41, 2, 0.2?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 7 (b) -3\/8 (c) -3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + m)*(6*m + 3*m + 0*m + (2 + 3 - 4)*(2*m - 3*m - m) - 4*m + 4*m - m + (1 - 3 + 1)*(m + m - 3*m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39038 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.77377395 rounded to 1 dp?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**3 + 35217*g**2 + 25376106*g - 25411320 = 0. Calculate g.\nAnswer: -682, 1, 12420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d + 3. Give t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4012009, -8023681, -12035363, -16047061, -20058781, -24070529?\n\"Answer: -n**3 + n**2 - 4011668*n - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/27324 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34000 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(2668\/322 - (-10)\/6*-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) + -5 - (sqrt(245) + (sqrt(245)*4 - sqrt(245)) + sqrt(245) + -3))**2.\nAnswer: 196*sqrt(5) + 12009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 2:30 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**3 + 1278*r**2 - 1278*r**2 + 2*r**4 - 6 to w + x*r**4 + i*r**2 + a*r + q*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -69332500 rounded to the nearest 1000000?\nAnswer: -69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 115 and -0.12?\nAnswer: -13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135, 136, 137, 138, 139?\n\"Answer: z + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19292994 by -126098.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 89 - 56. Let m = 9 - y. Let g = m + 78. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*j**4\/11 + 26408*j**3\/11 + 257874*j**2\/11 - 8981468*j\/11 + 269472 = 0. What is j?\nAnswer: -24, 1\/3, 14, 4411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29049 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 + 66 = -3*g. Let j = 83 + g. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r, 0*r + 5 = f + 4*r. Let j = f + 0. Sort 0.3, j, 0.4 in descending order.\nAnswer: j, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 47058?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1455 - -1449 - ((4 + -3 - -17 - 2) + 4).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58641 by -3.\nAnswer: -19547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a - 21 = -5*i, -3*i + 2*a = -7. Find the third derivative of 5 + 13*m**i + 2 - 7 + 16*m**2 wrt m.\nAnswer: 780*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 34*o**2 - 71*o - 60. Determine h(36).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3698423557 + 3698423557 + 5*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21289785 and 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 90, -1\/3, -5\/17, -1\/2, -6?\nAnswer: 90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117213 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1756.759g?\nAnswer: 1756759000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2. Let o(v) = v**3 + 6*v**2 - 7*v - 7. Let c(b) = 2*k(b) - o(b). Let u be 10*(-30 + 1534\/52). What is c(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4*-1)*(-288)\/720?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116 - 188. Let k = r - -77. Solve 4*s = -i - 4, -2*i + 1 = k*s + 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 829230*g**2 + 34425854325*g - 3708326426940.\nAnswer: 5*(g - 82869)**2*(g - 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-145)\/55 + 3 + (-10)\/(550\/(-321)). Suppose -217\/5*x**2 - 168\/5*x - l*x**4 - 36\/5 - 3\/5*x**5 - 121\/5*x**3 = 0. What is x?\nAnswer: -3, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-6))\/(1\/3). Factor 2*c**4 - 3*c**5 + c**4 + 2*c**5 - t*c**5.\nAnswer: -3*c**4*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-9 + (-3134)\/(-126))) + 8\/(-14)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 10. Let l(d) = -6*d**2 + 4*d - 4. Let g(f) = -5*f**2 + 3*f - 3. Let h be (4\/(-8))\/((-3)\/6). Let u = h + -4. What is s*g(q) + u*l(q)?\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o + 376 + 242 - 93 = 0 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 53.9. Which is the closest to m? (a) 5 (b) 4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 96\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -6*l - 6. Let w(d) = 6*d + 5. Let q(k) = 5*c(k) + 6*w(k). Let o(i) = 7*i**2 - 5*i**2 - 5*i**2 + 2*i**2. Calculate o(q(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2, 4, 364 in descending order.\nAnswer: 364, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/27*2\/4. Let r = a - 2\/9. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147 by 758881.\nAnswer: 147\/758881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -918, -920, -922?\n\"Answer: -2*w - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*l**5 + 36844*l**2 + 37264377*l wrt l?\nAnswer: -380*l**3 + 73688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 - 5. Let x(y) = -3*y**2 - 2 - 9 + 9*y**2 - 19*y**2. Let c be (-38)\/(-9) - 4\/18. Give c*x(w) - 9*n(w).\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3032.1198us to hours.\nAnswer: 0.0000008422555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*w**3 - 2*w**2 - 4*w**3 - 3*w**4 - 4*w**3 to m*w**2 + k*w**4 + t*w + j + z*w**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -130, -137, -146?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9065074 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/52*6\/(-15))\/((-3)\/25)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-180))\/((18\/20)\/(42\/(-35)))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 2452406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 5*u**2 - 5*u - 5. Let a(h) = -h**2 - 5*h - 1. Let k be a(-4). Let o be (-42)\/9 - (-2)\/k. Determine b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t + 6. Let p(o) = 11 - o + 3*o - 3*o - 4 + o**2. Let g(h) = -3*f(h) + 2*p(h). Factor g(w).\nAnswer: -(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66.919 + 67. Let v = -43.919 - f. Let t = -44.00000014 - v. What is t rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from aaybyybabaaaabbba.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 806701 = -8*h + 20*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (12 - -5) - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2. Suppose 15*s = 475 + 275. Let j(a) = -s*a**2 - 225 + 64 + 91*a**2 - 43*a**2. Determine q(j(o)).\nAnswer: -8*o**4 - 1288*o**2 - 51842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/7 - 211446*y**4\/7 + 1268724*y**3\/7 - 2537476*y**2\/7 + 302082*y - 634374\/7 = 0.\nAnswer: -105729, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ppttt.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2263 divide 16886205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**6 + m**2. Let b(l) = -7*l**2 + 574. Let h(s) = -b(s) - 5*y(s). What is the third derivative of h(v) wrt v?\nAnswer: 600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -2\/17, 2.4, -0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1319 - -1.6319. Let k = -8 - -5. Let g be k\/(5\/((-30)\/(-63))). Sort -1.6, g, n.\nAnswer: -1.6, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 112?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - x**2 - x + 2. Let h(a) = -361*a**3 - 14*a**2 - a - 5. Let b(z) = h(z) - i(z). Find the third derivative of b(m) wrt m.\nAnswer: -2154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95 + 96. Let n be -18 + 4 - b\/1. Let c be (6\/(-5))\/((-6)\/n) + 15. Solve -2*h + w + 3 = -7*h, h = 4*w + c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2, -1\/10, -3, 20?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x + 4*s - 15, -2*x - s - 5 = 0. Let f be ((-40)\/(-16))\/(x\/(-10)). Solve 3*h + 6*a + 11 = 4*a, -2*h + f*a - 1 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 285972?\nAnswer: 4289580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68))\/sqrt(4) + 2*sqrt(34)\/sqrt(2).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 943370 and 6?\nAnswer: 2830110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-655)\/(-4 + 9) + 0. Let m = f + 398\/3. Let d be (-3)\/(-20) + (-2)\/(-8). What is the closest to d in m, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26606?\nAnswer: 2, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-8) + 675\/12 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0, -5, -2\/11, 4\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 15*q = -5*d + 2, 23 = -2*d + 5*q. What is the greatest common divisor of d and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 203792*q + 2*q**2 - 100880*q - 101670*q to k + i*q + v*q**2 and give i.\nAnswer: 1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1771 divided by 3\nAnswer: -1771\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/((-2)\/4). Let s = -0.84136 - -0.88136. Which is the nearest to 1\/3? (a) x (b) s (c) 0.4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((2\/2)\/(-3)). Let r be (9 + y - 3) + 1. Suppose -139 = -r*d - 3*w, 0*w - 2*w - 83 = -3*d. What are the prime factors of d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 8) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 7*p + 2. Let j be f(5). What is the greatest common divisor of j and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 - 13.65. Let t = -14.7 - c. Let s = t - 0.3. Is s not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*b = 13555*g - 13554*g + 209, -2*b - 10 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 126\/26 - 4\/(-26). Suppose 4*o = 5*a - 80, k*o - 3*a + 4*a + 71 = 0. Let l = o - -23. Calculate the lowest common multiple of 10 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 7. Let q(z) = -z - 1. Let i(n) = 3*c(n) + 21*q(n). Let w(h) = 2*h**2. Determine i(w(s)).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 9*z**2 - 4*z - 5. What is f(7)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1900921 and 15049?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 60. What is h in p*h + 27*h + 10*h + 4*h**2 - 12*h = 0?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.9845329t?\nAnswer: 984532.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 3*g + 20*g**3 + 8*g**4 - 462289 + 462291 to b*g**4 + h*g**3 + w*g**2 + s + v*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**4 + 9*x**3 + 6*x**2 - 36*x + 24 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9720 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34989060 - -35022909.977. Let d = 33883 - o. Let n = -33 + d. Round n to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 9*y = 2*t - 464, -5*y = 4*t - 1160. Calculate the highest common factor of 11252 and y.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18ac (base 15) in base 4?\nAnswer: 1103121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 0*h**4 + 13*h + 0*h**3 + 1\/120*h**6 + 0 - 1\/80*h**5 + 0*h**2. Factor p(d).\nAnswer: d**3*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r - 8. Let i(x) = 7*x + 1. Let y(j) = -1. Let d(k) = -i(k) + 3*y(k). Let l(z) = -11*d(z) + 6*t(z). What is l(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14062425 is divided by 562497.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 493*j = 496*j. Suppose -2*l + 2*v + 2948 = j, -4*v + 2*v + 5914 = 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3978 is divided by 234?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -28766, -12\/11, 0.2 in descending order.\nAnswer: 0.2, -12\/11, -28766","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 45 - 4\/8*-2. Calculate the greatest common factor of 276 and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9406 + 9901 = -33*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 2, 4, -4 in increasing order.\nAnswer: -4, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 9:36 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 133627*p**5 + p**4 - 34*p**3 - 77092511*p**2.\nAnswer: 8017620*p**2 + 24*p - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -79656?\nAnswer: -79658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515.1469g to micrograms.\nAnswer: 515146900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (-127)\/(508\/(-36)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, o: 8, k: 8, f: 1}. Give prob of picking 4 o.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4.1, -79, -1\/4, -0.08 in decreasing order.\nAnswer: 4.1, -0.08, -0.2, -1\/4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, m: 8}. What is prob of picking 2 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.096.\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x + 2. Let d(h) = 2*h - h + h - h. Let y(w) = -4*d(w) - u(w). Suppose 4*a - 3*i - 35 = 0, -3*a + 3*i + i + 35 = 0. Calculate y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*j + 156 = 0, -4*d + 2*j = -71 - 55. Suppose -d = -r - r. Suppose 12 = 4*f - r. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/5, -0.179, -4\/7, -3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32, 8, 106, 286, 572?\n\"Answer: 4*n**3 + 5*n**2 - 3*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83066, 280, -0.5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-45))\/(-17*35\/1785)*26?\nAnswer: -26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 784*o - 8082. Determine l(11).\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 + -5.7. Let q be (-86)\/6 + (-1)\/((-9)\/(-6)). Let z be (6\/q - (-2)\/1) + -2. Which is the closest to 1\/3? (a) m (b) -1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + ((-12)\/10)\/((-50)\/125). Is 8 != v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from jeeej?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 147\nAnswer: -4\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7160, 14379, 21598, 28817, 36036?\nAnswer: 43255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6221*p + 6023*p + 209*p - 2195*p + 11642*p as n + t*p and give t.\nAnswer: 21900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -130189068908 and -3?\nAnswer: 130189068905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1918 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 5157 = 9*n - 5*b, -2585 = -n - 4*b. What is the highest common divisor of n and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {n: 4, z: 16}?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+-243502741\nAnswer: -243502741.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -21*f + 97 + 66 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 623*m**5 + 392*m**2.\nAnswer: 37380*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q - 5*q**3 + q + 4 + 6*q**3 - 1 + 3*q**2 as r*q + c*q**2 + u + w*q**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 669*v - 1450. Let l be q(21). Round l to the nearest one hundred.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302.03 - 302. Which is the closest to -1? (a) 0.9 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 40 + -15 + -3 + (-1 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/15, -3\/19, 0.08, 3\/8, 2?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v + 2. Let d be p(3). Calculate the highest common divisor of 29 and d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggaa. Give prob of sequence aa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 0. Suppose z - 3*t - 17 = c, t = 2*z - 9 - 0. Suppose -z*g = 4 - 42. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (176\/(-90))\/(105\/(-1050)). Do x and 21 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 5.08. Let o = 67\/105 - -1\/35. Put -0.2, o, x in descending order.\nAnswer: o, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j + 66 = 0. Let t be j\/11 - 2\/2. Suppose 152 = 4*o - t*o. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.8489258ms to hours.\nAnswer: 0.0000005135905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-34)\/(-11)*(-2)\/(-8). Let k = -3\/11 + v. Let m = -4.3159 + 4.0159. Which is the fourth biggest value? (a) k (b) 6 (c) m (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1208927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1219457 (base 12) to base 3\nAnswer: -20121212022211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(147) + 2 + sqrt(147))*-2)**2.\nAnswer: 224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-56))\/(3\/(-14)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -63509*p. Let j(z) = 2*z. Calculate v(j(q)).\nAnswer: -127018*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**2 + t**2 - 3*t**2)*(-t + 0*t + 2*t)*(2*t - 3*t - t).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2\/3201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78786280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -73.98. Let r = -16.33 + y. Let z = r - -0.15. Round z to 0 decimal places.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-6 - (8 - 13))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 110*j**2 - 27*j - 549. List the prime factors of d(15).\nAnswer: 2, 3, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -2440863.\nAnswer: -732258.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8.5000115 - -8.5. Round c to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 3. Let q(t) = 6*t - 3. Let l(x) = -5*n(x) - 4*q(x). Let b be l(8). Solve 5*z + 3 = b*r + 3*z, 1 = -4*r + 5*z for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + -9. Let g = f - -57. What is the tens digit of (g\/18)\/(4\/78)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3925620?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 2*b - 1. Let t be y(1). Suppose t = -0*q - 3*q + 531. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g - 11. Let d be a(-6). Let m be (25\/21 + (-2)\/(-14))\/(4\/(-6)). Sort d, m, -1, -3 in ascending order.\nAnswer: d, -3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 11, 1371 in descending order.\nAnswer: 1371, 46, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*k + 34825 = -3191. Let s = k + -856. Let a(t) = t**3 - 8*t**2 + 3*t - 15. Calculate a(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 122355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(2310\/(-455))*-2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35449361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) 0.3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2580350.\nAnswer: 2, 5, 51607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 560284?\nAnswer: 560282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1\/3))**(5\/17)*(((u*u**(2\/5))\/u)\/u)**(-2\/7)*(u**(-1)\/u)**37\/(u**1\/((((u**0\/u)\/u)\/u*u)\/u)) assuming u is positive.\nAnswer: u**(-138574\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 3*a**3 + 0*a**3 + (2*a**2 - a + a)*(-1 + a + 1) - 4*a**3 + 3*a**3 + 15*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.04 (b) -0.3 (c) 0 (d) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 + -1 + (4 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -605 - -4215\/7. Let w(f) = 52*f**2 + 1. Let b be w(-1). Let q = -41 + b. Calculate the common denominator of q and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 1\/135*q**5 + 2*q**2 + 8\/27*q**3 + 2\/27*q**4 + 0*q + 0. Let u(b) = 0. Calculate b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-135) + (-7 - 1192\/(-120)). Solve -4*n + k = -y - 0, -3 = -3*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151727\/17 - 8925. Sort -0.1, 5, v, 10.\nAnswer: -0.1, v, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6, -m - 2*m = -4*a + 5. Let n be m*-5*32\/(-10). Suppose -12 = -2*g - 6. Solve -j - g*k + 12 = -4*j, -k = -5*j - n for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1557 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -13. Solve a + 6*w = w + x, -4*w = -8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 1371*a + 46519. What is j(-34)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 253309 to the power of 1\/2, to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*g + 80 - 9 = -19, g - 2 = 5*v - 86 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391097.1 + -118.23?\nAnswer: 390978.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312911 is divided by 721?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 14) to base 2\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**3 - 39*s**2 - 112*s + 81. What is the ten thousands digit of j(-38)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 0.1590141801?\nAnswer: 0.4590141801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -425 (base 12) to base 16.\nAnswer: -25d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182\/120 - 1 - 14\/(-168)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5 + (-2*sqrt(95))\/sqrt(5) + -2*sqrt(304) + -3 + -4)**2.\nAnswer: -60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203, 390, 577, 764, 951, 1138?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -66. Suppose -4*h = -q*h + 9. Solve h = b - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2595 and 0.19917903?\nAnswer: 2595.19917903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001954044 to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*4)\/sqrt(4) + sqrt(63) + sqrt(63) + ((sqrt(126)\/sqrt(2) - sqrt(63)) + sqrt(63))*6)\/(2*sqrt(729) - sqrt(576)*3).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 2*j - 5. Let w be o(0). Let h be (10\/6)\/(w\/(-6)). What is the third derivative of v**h - 2*v**6 + 4*v**2 - 16*v + 16*v wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234151007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b - 69 + 132 + 10*b**2 - 62 + (1 + 4 - 3)*(-2*b + 2*b - 2*b**2) - 3*b**2 + 4*b**2 - 3*b**2.\nAnswer: 4*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-1\/6)\/(y**(-1)*y*y**(-3\/2))*(y**(2\/7)\/y)\/(y*y**(3\/5))*(y*y**(1\/2))\/(y*y**(-1)*y*y*y) assuming y is positive.\nAnswer: y**(-81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 + x. Let v be g(-2). Let m = -12 - v. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -21*z + 19*z. Let c(x) = -4*x**2 - 3*x - 44. Let b(s) = 9*s**2 + 7*s + 89. Let y(q) = z*b(q) - 7*c(q). List the prime factors of y(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzfzfzfzfzufzfzzzz. What is prob of picking 2 u and 1 f?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**3*v**2 + 8*m**3*v + 161738*m**3 + 8807*m**2*v**2 + 308*m*v wrt m?\nAnswer: -12*v**2 + 48*v + 970428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30, -66, -102, -138, -174?\n\"Answer: -36*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/44796 and 31\/23628?\nAnswer: 88203324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 177 + -180. Let d = -78\/17 + 756\/187. Which is the third biggest value? (a) p (b) d (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/60 + 5*s**4\/24 - s**3\/6 - 2*s**2 + 221. Let w(u) = -u**2 + 7*u - 1. Determine -7*h(q) + 5*w(q).\nAnswer: 2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.34942 + 4.353. Round z to 4 dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185845224 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: Let p be (-3)\/6*1 + 0. Let v = -2.04 + 4.04. What is the third smallest value in p, v, -5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 3*c - 16, -5*c - 2*k = -30 + 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/(-62)*330\/(-45))\/((-1)\/(-15)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 20 = -5*u, -11*a = 3*u - 15*a - 4 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164643 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(60\/8) - (-86)\/6. Suppose s = 2*t + 3*t - j, -4*t - 17 = 5*j. Calculate the least common multiple of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 4*t + 15, -5*h - 9 = t. Is -1*h\/((-3)\/(-231)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/3356876 or 1?\nAnswer: -47\/3356876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + 1 + (1 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - x - 160. Let a = 14 + -4. Let t = a - -4. What is the remainder when x is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005247029 rounded to five dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 8}. What is prob of picking 3 t?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -88 - (-109 - -29) - (-37 - (2 + -1 - 0))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31.472? (a) -12 (b) 1 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 1:17 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/4 + (-1248)\/(-1152).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-8))\/(6\/16). Let b = 11 + w. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30853622?\nAnswer: 2, 29, 181, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + (-2)\/(-24). Suppose -2*u + 5*k + 1 = -0*u, 0 = u - 2*k. Let h = 13.3 - 13.3. Which is the biggest value? (a) u (b) o (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10238699 divided by -102\nAnswer: 10238699\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*t - 15 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74273135 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 246. Let l(u) = -13*u. Determine g(l(m)).\nAnswer: -169*m**2 + 246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g**2 + 13*g**2 + 20*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*d - 482 = o, -5*d - 4*o = -592. Let t = 8 + -2. Suppose -5*q = -t*s + 2*s + 65, 5*s + 5*q - 70 = 0. What is the highest common factor of d and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9 - 11\/3)\/(2\/6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/7*12\/(-558)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 - 8*d**3 - 9*d**2 + 18*d.\nAnswer: -d*(d - 1)*(d + 3)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -482, -951, -1420, -1889?\n\"Answer: -469*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 18 (c) 2 (d) -4 (e) -0.18 (f) -1.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2416 or 2394?\nAnswer: 2394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -22*b - 7. Let y(f) = -11*f - 3. Let h(t) = -6*n(t) + 13*y(t). Let p(u) = -2*u + 1. Let x(o) = -h(o) + 3*p(o). Let z(q) = -5*q. What is x(z(i))?\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 69*m + 173. What is b(-3)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/7)\/(c\/(c*c**(-3\/4)\/c)*c))\/(((c\/(c*c**8*c*c))\/c*c)\/c**(-4)) assuming c is positive.\nAnswer: c**(87\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (74 + -75 - (1 - -5)) + -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7936 and 8167136?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 240 = 3*d + 24, -5*o - 4*d + 1025 = 0. What are the prime factors of 97\/1*3*67\/o?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098*y = 3075 - 28329 for y.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 85169*v - 85168.\nAnswer: -(v + 1)*(v + 85168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v = 20. Let n be (5 - 5)*2\/v. Sort 3, n, 1 in decreasing order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -4*y + 2*o + 6, -y = o. Let q(h) = 2*h**3 - h**2 + 2*h - 1. Let m be q(y). What is the units digit of m\/(-8) + (-50)\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -997.359899 to 1 decimal place.\nAnswer: -997.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40994*d**3 - d - 43375 wrt d?\nAnswer: 122982*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7036 = -3*c + 35488. Is (c\/(-6))\/((8\/6)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -636*h - 89512 = -93964. Suppose -82 = -2*m + 102. Calculate the remainder when m is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.098468395 to 2 dps.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**10*n*n*n)**(-5\/4) assuming n is positive.\nAnswer: n**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 8*o + 8. Let d = -5 - 2. Let g be z(d). What is the highest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*19\/(-266) + 12 + 0. Solve -8*z + 2*t + 13 = -i*z, -5*z = 5*t + 30 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 4. Let x be 10\/4 - (-3)\/z. Suppose -4*b = -4*f + 16, -b = -5*f - x*b + 20. Solve -2 = -i, 2*w - 4*i + 0*i + f = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3538 is divided by 1265?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 4*t**6\/3 + 16*t**2 + 48*t. Differentiate g(f) with respect to f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3679*m**2 + 1785*m**2 - 1178*m**2)*(2*m - 2*m + m + (m + m + 0*m)*(6 - 2 - 2)) to the form y*m**3 + s*m**2 + q*m + b and give y.\nAnswer: -15360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45727828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 314500 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f = -52*f - 4*c - 31, -c = -2*f + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/120 - 13*l**5\/60 + 3*l**4\/4 + 13*l**3\/2 - 3*l**2 + 342*l + 3. Determine k(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 55980*s**3 - 167970*s**2 - 167980*s - 55995.\nAnswer: 5*(s - 11199)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 707 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -338 (b) -8\/13 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -110, -37, 34, 103, 170, 235, 298?\n\"Answer: -k**2 + 76*k - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w. Let v be (-9)\/(-3) + -1 + -7. Let l be p(v). What is the second derivative of 5*q**5 - 5*q - 3*q**l - 3*q**5 + 4*q**5 wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*-8 + (-8)\/(-4). Suppose g + 2*y = n*y + 118, 3*g - 345 = 3*y. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131456120 + 4?\nAnswer: -131456114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 484 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s - 2. Let w be j(-1). Suppose 26 = v + w. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*u + 26 - 259 + 89 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -25*m**4\/6 + 17185*m**3\/6 + 407915*m**2\/3 - 14016290*m\/3 + 1846900 = 0.\nAnswer: -66, 2\/5, 23, 730","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*(-6 + 132573\/(-18) - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*u + 4304 = 380*u - 3384 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8060.42163 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -836*i**2 - 10*i - 5. Let n(b) = -418*b**2 - 6*b - 3. Determine 5*n(g) - 3*q(g).\nAnswer: 418*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 2*s**2 + 55*s - 50. What is c(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28500 and 1698828.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1824, 1819, 1810, 1797, 1780?\n\"Answer: -2*j**2 + j + 1825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -7*i**2 + 2*i + 3. Let n(x) = -50*x**2 + 23*x + 103. Let l(s) = 33*s**2 - 15*s - 66. Let c(a) = -11*l(a) - 7*n(a). Calculate 6*c(z) - 11*d(z).\nAnswer: -z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5c - c8a68?\nAnswer: -c8a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -418.609 - -354019.609. Let j = s - 353601.145931. Let o = -0.146 - j. Round o to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*l - 15 = 3, 0 = 4*o - l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**6\/90 + y**5\/20 + 5*y**4\/24 - y**3\/2 - 3*y. Let q(w) be the second derivative of x(w). Is q(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {k: 6, z: 2, o: 2, p: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and 18.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + 5)*-5.\nAnswer: -25 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.05 minus -0.2544608?\nAnswer: 2.3044608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9477 and 681029856.\nAnswer: 3159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 479\/(4311\/180)*4*3\/3?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 134254 to the nearest one thousand.\nAnswer: 134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + -15. Let r = 199 + l. What is the closest to -1\/13 in 2, r, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1547, 1968, 2469, 3056, 3735, 4512, 5393?\n\"Answer: o**3 + 34*o**2 + 312*o + 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6*p - 66. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3.114165 months?\nAnswer: 0.0025951375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.7846174 rounded to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 18*k**2 + 1. Suppose -4 = d - 3*x, 3*d + 7 = 22*x - 18*x. Let c(s) = 1. Calculate d*y(l) + c(l).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 9*s + 160 = 0. Let x be (-2)\/(-7) + s\/14. Does 3 divide 0 - x - 0 - -12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 14. Suppose k - 4 = -k. Suppose 6 - k = v. Solve v*s - f*i = 0, -2*s + 0*s = 2*i - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.5 and 0.23.\nAnswer: 1.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166084912.\nAnswer: 2, 7, 349, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 3*x + 1. Let k be d(-2). Let j = 29 + k. Suppose o - j*o = -469. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 - 6*y**2 + y**2. Let q(g) = 11*g**2. What is c(q(m))?\nAnswer: 242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -145*x**3 + 241 - 13*x - 247 + 24*x - 10*x to the form r*x + j + m*x**2 + h*x**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35002 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1120 and 2560.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 17 + -8 + 3 - (-27 + -2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.536254m in micrometers?\nAnswer: 6536254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 335847191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465 = -5*q - 570. Let i = -75 - q. Suppose 0*z = -3*z + i. What is the greatest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 + 4*z + 5. Suppose 0 = 9*i - 3*i + 18. Let j be w(i). Suppose 0*t = j*t - 332. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -4. Suppose o + 4*l = -0*l - 2, -o - l + 10 = n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2889*q + 162 = 2943*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 2454090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5) + -4 - -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 4:26 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -y - 1. Calculate the least common multiple of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.75451885 to 4 dps.\nAnswer: -3.7545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-19)\/i*i*i*i**(-4\/15)\/i*i*i**(-1\/25)\/(i\/(i\/(i**45*i))) assuming i is positive.\nAnswer: i**(-4823\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 7*h - 8. Let q be c(-6). Let n be (-26)\/42 - q\/6. Let t(s) = s**3 + 5*s**2 + 5*s + 5. Let p be t(-4). Which is smaller: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011022122012200110 - -10?\nAnswer: -2011022122012200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = -4*g - 224 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-31)\/3)\/(7\/(-42)). Put -5, 3, -4, z in descending order.\nAnswer: z, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 16. Let v(w) = -w**3 + w**2. Let i be v(r). Let z(n) = 1. Let g(c) = c + 3. Let p(s) = 3*g(s) - 7*z(s). Calculate p(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31401794*z**4 - 14*z + 1132878 wrt z?\nAnswer: 376821528*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(70)\/((sqrt(100)*-3)\/sqrt(10)) - ((sqrt(42)\/(sqrt(24)\/sqrt(4)))**2 + -2).\nAnswer: -5 - sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 218387612 and 4.\nAnswer: 218387612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.810458 millennia in decades?\nAnswer: 581.0458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - w + 26. Let m(u) = -6494*u**2 - 8*u + 5199. Let i(g) = -7*a(g) + m(g). What is the second derivative of i(n) wrt n?\nAnswer: -12974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 12 = 3*z, 0 = 3*n + 2*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201, -177, -153, -129, -105?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*i**2 + 3*i - 107.\nAnswer: 22*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13587920 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -4, -1\/39, 2 in ascending order.\nAnswer: -4, -3, -1\/39, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -80*m. Let w(j) = 2*j**2 + 7*j - 19. Determine w(p(g)).\nAnswer: 12800*g**2 - 560*g - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -381 + 381.5. What is the second smallest value in -6, -12, v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*t = -37, 2*t = -t - 15. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**44*(y**(-1))**41 assuming y is positive.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19298897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12030 and 42506.\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -18, -65, -152, -291, -494, -773, -1140?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43212408*f*m - 23173733*m wrt f.\nAnswer: -43212408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + n + 1 + (6 - 3 - 4)*(-17*n + 1797 - 1797) - 2*n - 2 + n + 4.\nAnswer: 17*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30023312 (base 5) to base 3.\nAnswer: -102222211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1343 + 5?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2237890, -2237889, -2237888, -2237887, -2237886, -2237885?\n\"Answer: v - 2237891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.8601 - 0.0399. Put -0.2, u, -1\/3 in descending order.\nAnswer: -0.2, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.140316 + 3.17331638. Let g = 35.967 + -36. Let o = c + g. Round o to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 1\/127 (c) 4 (d) -46 (e) 59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/70 - -16\/105. Let c(t) be the second derivative of 0 + y*t**3 + t + 0*t**2. Let r(p) = -2*p**2. Calculate r(c(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (21 + -15 - -18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3339603280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 1:31 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9128, 18691, 28254, 37817, 47380, 56943?\n\"Answer: 9563*r - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 498.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from zzzwwyzwwzywzz.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -24*p**2 + 11. Let u(o) = -13*o**2 + 6. Let h(r) = 6*d(r) - 11*u(r). Let f(s) = -8*s**2 + 0 + 0. Calculate f(h(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3212 and 4672.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one eighteenth of a day in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1462525?\nAnswer: 5, 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m + 9*m - 4*m + (2*m + 1 - 1)*(4 + 0 - 5) - 13*m - 1 + 5*m + 3*m.\nAnswer: -6*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260139 is divided by 51984.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*r + 22, 2*r + 0*t + 5 = 5*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1366 and -7751.15.\nAnswer: -7751.2866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 - 7*q**3 + q**3 + (1 - 1 - 2*q)*(-2*q**2 + 0*q + 0*q) + (0 + 2*q + 0)*(85*q - 3*q**2 - 85*q).\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k*p**3*x - 2*k*p**3 + 13488*k*p*x - 2069*k + 2*p**3*x + p**3 wrt x.\nAnswer: k*p**3 + 13488*k*p + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1217680 is divided by 135297.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 2*f + 2*f)*(0 + 3 + 0)*(f + f + 0*f + (2 - 1 - 2)*(3*f - f - f) + 2*f - 3*f - 5*f - 300 + 62*f + 300) as k + z*f**2 + v*f and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-6) - 18\/(-27). Let r be 2 + 12\/w*1. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5 + 2*a + 2*a + (-4*a + 4*a + a)*(2 - 4 + 0))*(215 + 246 - 526 + 2*a).\nAnswer: 2*a**2 - 75*a + 325","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -59. Calculate the remainder when (-1)\/(-2) - (-624)\/32 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.324 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19715.\nAnswer: 5, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akd when three letters picked without replacement from azokd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 1:20 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10b13 (base 14) to base 3.\nAnswer: -2001200022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - r - 42224 = 0, 0 = -0*k + k - 7*r - 8404. What is the remainder when k is divided by 119?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134417554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 173.8 - 257. Let l = -0.61 - -76.61. Let p = l + d. What is p rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 36, 57, 78, 99, 120?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32752300*o**5 - 1751*o**2 - 5391 wrt o.\nAnswer: -1965138000*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, m: 4}. Give prob of sequence mmmz.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.14 - -0.2. Let q(n) = -2*n + 53. Let v be q(28). Which is the fourth smallest value? (a) 3\/2 (b) v (c) 0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15918 divided by 1.\nAnswer: -15918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.176 + 0.054. Let r = s - 0.03. Let n(l) = -l**2 + 7*l - 1. Let i be n(6). What is the smallest value in r, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Suppose -6 = -z*u - 2. Let l be u\/(-3)*9\/(-2). Put -1, l, -3 in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 9. Let w(m) = 9 - p + m. Let a(z) = 7*z. Calculate a(w(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 74*f - 29. Let x be -1*(2\/3)\/(22\/(-66)). Is h(x) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3 - 3*l**2 - 2*l - 2289. Determine h(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -587 - -590. Suppose 0*v + 3 = 3*v. What is the biggest value in 0.2, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:04 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Let i(j) = -j**2 - j - j - 1 - j**l + 4. Calculate the remainder when i(-3) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(4*(sqrt(396) + sqrt(396) + 0 + sqrt(396)) + 4 - (-4*(-2*sqrt(88) - sqrt(88)) + sqrt(88) - sqrt(88) - sqrt(88))\/(-6*sqrt(32)\/sqrt(4))))**2.\nAnswer: 765504*sqrt(11) + 77735340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 46226 (base 8) to base 7\nAnswer: 111106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001278402 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.996 - -20462.\nAnswer: 20453.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 - 2*a**2 + 4*a + 11. Let l be g(-2). Let w = l + 63. Solve 4*r = -5*m + w, -3*r + 2*m - 2 = -2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16, -3995, -10, 1\/9, -6 in decreasing order.\nAnswer: 16, 1\/9, -2, -6, -10, -3995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 18*c**2 + 49*c - 163. Let z(t) = -5*t**2 - 12*t + 41. Let o(u) = 3*g(u) + 11*z(u). Give o(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 19*f = 18*f. Let w be (78\/39)\/(f + -8). Which is the third biggest value? (a) -1\/5 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-1 - 1\/((-2)\/10)). Suppose 0 = 3*h - j*b - 14, b = -3*h + 2*h + 3. What is the remainder when 12 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 96*u - 10. Let r(x) = 1. Let h(z) = -b(z) - 3*r(z). Is h(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t**(-5)\/t)*t**(-1\/2)*t*t**(-1\/11)*t**(-3\/10) assuming t is positive.\nAnswer: t**(391\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022 + 1120?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 1233?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 5*u**2 + 4*u**2 + 0*u + 0*u + u**2 + (-2 + 4 + 0)*(-26 + 26 + 29*u**2).\nAnswer: 57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011 (base 15) in base 11?\nAnswer: -50a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 4 + 0)*(-j**3 + j - j) + (-1 - 2*j + 1)*(1 - 1 - 2*j**2) + ((1 + 0 + 0)*(-1 + 4 - 4) - 3 + 2 + 3)*(3*j**3 + j**3 - 5*j**3).\nAnswer: -77*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 s when four letters picked without replacement from {s: 7, a: 6, l: 6}?\nAnswer: 105\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12344428 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - z - 17, 383*z - 25 = -5*r + 388*z. Let t = 0.5 - 0.5. Which is the second smallest value? (a) r (b) t (c) -15 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12*(-1)\/(-42) + 5\/7. Let q(d) = d**3 - 5*d**2 - 2*d + 7. Let r be q(5). Put r, 2, b in increasing order.\nAnswer: r, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 3*c + 26 = 1, 3*b - 8*c + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 7*u + 40. Let y(h) = 16*h**3 + 11*h**3 - h**2 + 11*h**3 - 10*h - 37*h**3 + 8*h**2 - 12. Give y(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47083\/15 - -3136. Calculate the common denominator of -4\/45 and k.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12890?\nAnswer: 2, 5, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 16*y - 53. Let l be u(11). Let j(w) = -6*w**2 - 3*w**3 - 10*w**2 + 2*w**3 - 5 + 9*w**l - 6*w. Calculate j(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326550935.\nAnswer: 5, 271, 240997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - l = 7, -3 = 5*l + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098206?\nAnswer: 2, 3, 11, 10597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54029534?\nAnswer: 2, 13, 2078059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 9*g**2 - 13*g - 4. Let c(a) be the second derivative of a**4\/6 - a**3\/2 - a**2\/2 - 6*a. Determine 9*c(z) - 2*d(z).\nAnswer: -2*z**3 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-42) - (-46)\/30. What is the third biggest value in 2, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15 - 19) + 7 - (-31 - 3)) + 1 + -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 298242 and 13608.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 25*q - 15. Let o(c) = -c**3 + 11*c**2 - 17*c - 18. Let m be o(9). Let t be j(m). Let f = 31\/2 + -15. Put -3, t, f in decreasing order.\nAnswer: t, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s + 5. Let p(u) = -2*u - 3. Let g(r) = 3*b(r) + 5*p(r). Let v(d) = 8*d**2 + 32*d. Let k be (-1235)\/(-39) - 1\/(-3). What is k*g(m) + v(m)?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 360737.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212 + -21020022100?\nAnswer: -21020021111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g**2 - 47*g + 5 + 45*g + 7*g**4 + 0*g**4 + 3*g**3 - 5*g**4 to u*g**4 + s + f*g + y*g**2 + a*g**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + -1 - (-2 + 1). Suppose 0*l - 11 = -p*l + 5*f, 0 = -4*f - 4. Factor 2*r**2 + r**5 + 2*r**5 - 2*r**4 - 2*r**l - r**5.\nAnswer: 2*r**2*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -192599 and -0.227.\nAnswer: -192599.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose -3*y = -0*q + 5*q - 54899975, t*q - 91499980 = -5*y. Round y to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2 + 7. Suppose 2*a = -k*i + 13, -2*i + 4*a = -6*i + 20. Solve -t - i = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:56 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -32, -5, -13\/23, -902 in descending order.\nAnswer: -13\/23, -4, -5, -32, -902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 16*n**3 + 4*n**2 - 7*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 60 = 9*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2702107 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57569 - 23192. List the prime factors of f.\nAnswer: 3, 7, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*k. Let t = -26 + 31. Suppose 2*o + k*i = -3*i + 1, t*i = 3*o + 8. Sort -5, o, 0.\nAnswer: -5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 35*s - 1978 - 3*s - 4*s + 2151. Let x be r(-6). Solve -6 = 3*k - 2*h + 7, 5 = -5*k - x*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1365 and 2275.\nAnswer: 6825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12805, -12803, -12801, -12799, -12797?\nAnswer: -12795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9399 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: What is (-54)\/(-45)*(15\/(-6) + 1)\/((-27)\/45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 208\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10 - 8) + 1 + -1. Suppose 0 = -0*y - y + 2. What is the greatest common divisor of y and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556617?\nAnswer: 3, 185539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 21*j**3 + 15*j**2 + 6*j + 6. Let m(h) = -85*h**3 - 60*h**2 - 25*h - 25. Let w(n) = 6*m(n) + 25*t(n). Find the third derivative of w(y) wrt y.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.38 >= 2\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494\/363 - -164859\/605. Let j = 271 - h. Which is the biggest value? (a) 0.1 (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 4. Let i(u) = -u + 7. Let b be i(10). Let w be r(b). Let k be (-2)\/8 - (-68)\/w. Solve 0 = k*s + s + 2*d - 18, 0 = -3*s + 3*d - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 806285.8 decades in years?\nAnswer: 8062858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5775*h - 7*h**2 - 2894*h - 2881*h + 16*h**2 + 11*h**2.\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41437592?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6714*l**4 - 2996*l wrt l?\nAnswer: 80568*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/14 - 117\/(-21). Let x(i) = 6*i + 2. What is the tens digit of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32383.7369 + 32387. Let u = 3.31 - p. Round u to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2, 4, -0.4, -47.8, 2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from fbfaabbbab?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 630 > 631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -175 - 5*a - 6*a - 8*a - 174 + 17*a to the form w*a + p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-912)\/(-22) - ((-120)\/44)\/5 - (5 - 2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 + 0*c**2 - 2*c**3 + (-4*c**2 + c**3 + 4*c**2)*(-3 + 5 - 12) + 1 - 1 - 2*c**3.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 1 + -2540 + 2484.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 1) + (-6 - -21) + -3. Let b(l) = 3*l - 4. Let j(d) = -d + 1. Give h*j(r) + 2*b(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11.7 + -11.6978605. What is y rounded to four dps?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 3 + 6)*(2 + 2 - 2) - 1 + 0 + 2)*(11*z + 12*z - 8*z) to the form j + o*z and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -9, 4, 2 in decreasing order.\nAnswer: 4, 2, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*h + 856, -2*h + 245 = -3*b - 275. Suppose 3*x - v - 59 = v, 5 = -5*v. Calculate the remainder when (b\/6)\/(4\/(-18)) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93 + 41 - 2*r**2 - 90 - 8 to the form w*r + p*r**2 + q and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 583\/3 - 195. Is -2\/999 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170236292 + 42559070 + 42559074 + 42559079 + 42559069 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooeoeoeo. Give prob of sequence eooe.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 337093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 180 = 3*h + 66, 3*q - 5*h = 246. Suppose 31 = -3*d - 47. Let l be (-4)\/26 - q\/d. Let r(u) = -u**2 + 2*u - 2. Determine r(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 901326780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2446610?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 1\/3*x**4 - 2\/3*x**2 - 21 + 0*x**3 - 2\/15*x**5 + 2\/3*x. Factor u(i).\nAnswer: -2*(i - 1)**3*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -44*g - 300 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -17 - (1 - -1 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.111903ug?\nAnswer: 0.000000000001111903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4152825251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161 + 111. Let c = u + 1369\/27. Calculate the common denominator of 143\/42 and c.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.1, -3\/79?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.64 + -1.64744. Round p to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-31)\/(-31)*(-2880)\/12*(-6)\/15.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -187\/356548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*z**3 + 859193*z**2 + 25527832 with respect to z.\nAnswer: 27*z**2 + 1718386*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53.1 - 53.1133. Let u = 0.4867 - z. Which is the biggest value? (a) 44 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a + 1\/2*a**2 + 27. Let y(z) = -z - 8. Calculate 6*t(o) + y(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6292935 divided by 43?\nAnswer: -6292935\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.058 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 68.23594 decades?\nAnswer: 682.3594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/2*(-1)\/((-1)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2583 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61310*h + 3 = -61307*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g**2. Let c(s) = -820*s + 820*s + s**2. What is c(y(o))?\nAnswer: 144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 98*j - 35662. Calculate p(-146).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 54 + 2 = 0. What is the least common multiple of 126 and t?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 807075 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21194766 and 171.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69700 by 34850.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1, 1\/13, -4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2359361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1069\nAnswer: -4\/1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -3*o**5\/20 - o**4\/12 + o**2\/2 + 231*o. Calculate k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 6:18 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 138 - 134. Suppose 31*a - 35*a - h = 0. Is 2 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - 3.4. Let w = 6 + k. Let s = 53\/12 - 15\/4. Put -0.2, w, s in decreasing order.\nAnswer: w, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-19 + 11 - 105) - -26?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 - 4*n**3 + 2*n**3 + (0*n**3 - 2*n**3 + 0*n**3)*(1 - 3 + 4) + 2*n**3 + 2 + 3*n - 3*n.\nAnswer: -n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:57 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 23*m + 11. What is the smallest common multiple of f(-23) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*n - 4*n - 3*t, -5*n + 9 = t. Suppose -3*y = 2*r - 2, -2*y - 2*r = -0*y. What is the biggest value in n, 4\/7, 2\/9, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7 - 18*i**3 + 13 - 57*i + 12 + 60*i**2 - 6*i**4 + 3*i**5 = 0. What is i?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -37. Let f = -8.058 + b. Let y = f - -0.0579969. What is y rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10556791*a**2*m**2 + 34*a**2 + 260441*a*m wrt m?\nAnswer: 21113582*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3381 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 2. Let r be m(4). Suppose -d = 2*d + r. Let k(s) = 118*s**2 - 7*s - 7. Is k(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -782 + 324. Let r = 457.379 + z. What is r rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3393 and 87?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(49)\/sqrt(252)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*m + 33, 2*m - 3*t - 55 = -3*m. Let b(g) = 9*g - 18. Let f be b(2). Suppose f = 3*j - 46 - 86. Calculate the highest common factor of j and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o**2 - 43*o + 11*o + 37*o - 9*o + 4*o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -759497, -1518995, -2278493, -3037991, -3797489, -4556987?\nAnswer: -5316485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 greater than -40.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*l + l. Solve l*b - 3*h = -21, 2*h = 5*b + 6*h + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-45)*-3 + (-2)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 141 = 3*b. Let u be b\/(-11) + (-6)\/33. Let w = u - -4. Put -4, w, 4 in descending order.\nAnswer: 4, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*u = 12547 - 13743 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44 + -42 - (-2 - 1). Solve 3*j + 5 = -4*s + 7, g*s = -4*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 14*g**2 + 26*g - 22. Give m(-16).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(2 + (sqrt(325) - sqrt(325)*-3) + sqrt(325))**2.\nAnswer: -195096 - 2400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66635 is divided by 3951.\nAnswer: 3419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**5\/h*h))\/h*h)\/h)\/h**(1\/4))\/(h*h*h*h**(-7)*h\/(h*(h*h**(-7\/4)\/h)\/h)) assuming h is positive.\nAnswer: h**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 - 2*l**4 + 0*l**4 + (-3*l**4 + 2*l**4 - 2*l**4)*(-2 + 4 + 0) - 4*l**4 + 5*l**4 + 0*l**4 + 0*l**4 - 3*l**4 + l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 + -0.9. Let m = 6.07 - y. Let q = -0.06999985 + m. Round q to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3556373266 rounded to 4 dps?\nAnswer: 0.3556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d2e (base 16) to base 6.\nAnswer: -302234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4 - 2 - 2 + 18*h - 15*h. Let v be q(4). Suppose 1500 = 16*p - v*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c**5\/2 + 359*c**4\/4 + 2697*c**3\/4 + 1603*c**2\/2 - 4729*c - 690 = 0. What is c?\nAnswer: -23\/2, -10, -6, -1\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 6*u + 13. Let j(h) = 3*h**3 - 7*h + 14. Let w(l) = 6*j(l) - 7*k(l). Differentiate w(r) with respect to r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2323864 (base 11) to base 3\nAnswer: -21122022002011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -6, 18, 48, 90, 150, 234?\nAnswer: 348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**32)**(24\/7)*((y**(-1)\/y)**28)**(1\/16) assuming y is positive.\nAnswer: y**(1487\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 28c395 (base 13) to base 9\nAnswer: 1781073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.059 - -3.059. Let k(l) = -l**2 + 5*l + 6. Let s be k(6). Let t be s\/3 + 4\/14. What is the smallest value in m, 1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 6*h**2 + 54*h + 14. What are the prime factors of v(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11029 and 79893?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1 - (46 - 50)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7023 - 1?\nAnswer: 7022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 0*i**2 + i**2 - i**2 - 4*i**2. Let s(z) = -15*z**2. Give s(w(g)).\nAnswer: -240*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*a + 173*a + 6*f - 18 = 0, -2*a + f + 0 = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r + 228 = 29*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-2.84.\nAnswer: -0.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**2 - 12*l - 24. Let m be j(-3). Let y = -139 - m. Suppose 3*w = -0*w + 12. Solve w = 6*i - y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -26. Let a be (((-324)\/21)\/(-6))\/(m\/(-14)). Let l be 12\/a + -7*3\/(-9). Solve l*j + 10 = -5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2)*q\/(q\/q**(-1\/4))*q*(q\/(q**1*q)*q)\/q*(((q**2*q)\/q)\/q)\/q)**(-26\/9) assuming q is positive.\nAnswer: q**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.1995 - -2.8795. Put 4, 2\/7, -4, 1\/44, f in ascending order.\nAnswer: -4, f, 1\/44, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -4, -0.1, -0.4, 17\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*g - 2*o, -4*o + 7 = 2*g + 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0 + 13*n**3 + 2 - 12*n**3 + 1 - 7*n**2 - 24*n. Let m be b(10). Is 7 a factor of m\/(-14)*38\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*i + z - 238, 63 = -i + 2*z. Let o = 59 + i. Solve -q + 3*w - 14 = o, -3*w + 10 = q - 6*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3 - 32*j**2 - 148*j + 176 = 0.\nAnswer: -4, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -23*y + 5. Let l be x(0). Let p(s) = -18*s**2 + 5*s + 5. Let h(z) = 9*z**2 - 3*z - 3. Give l*h(k) + 3*p(k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -6*o**2 + 72*o + 343. Calculate h(17).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/14 + 114\/14. Suppose -2*c + c = -d. What is the lowest common multiple of c and (-2 - -5) + 1 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12456 + -1112182347.\nAnswer: -1112169891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1095*f**3*x**3 - 5*f**2*x**2 + 34*f*x**3 wrt f.\nAnswer: 6570*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -198067*17\nAnswer: -3367139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - 6.6. Let r = 6 + u. Let m = -0.9887 - r. Round m to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -44 in descending order.\nAnswer: 3, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3858, -8026, -12194, -16362, -20530, -24698?\n\"Answer: -4168*y + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1017.906 micrograms to nanograms.\nAnswer: 1017906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -1937296?\nAnswer: -1937296.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420 is divided by 106?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 1 - 130 = 51. Calculate the remainder when 2096 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77722533 to the nearest integer?\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-104)\/(-195) + (-10)\/75. What is the nearest to n in 1.4, -3, -2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2 - 4 + 4)*(6*f + 16*f - 11*f).\nAnswer: 33*f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 95 + 52. Suppose -5*j = -92 - 78. Suppose -i + y = -j. What is the remainder when i is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 0, -64 in ascending order.\nAnswer: -64, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/11260 - -25379\/495440. Calculate the common denominator of d and -109\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9118 + -45588\/5. Factor -2 - j*v**2 + 12\/5*v.\nAnswer: -2*(v - 5)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a meter?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 3*k = 90, 0 = 459807*n - 459811*n + 2*k + 70 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 1 + 1)*(-42 + 42 + 10*s**2) + (3*s - 4*s + 3*s)*(-s**2 + 0*s + 0*s) to the form j + p*s + v*s**2 + y*s**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by 44.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-6)*c*c**24*c assuming c is positive.\nAnswer: c**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10849*v**4 + 1812*v**3 + 1810019*v**2 + 4?\nAnswer: -260376*v + 10872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 6:12 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 4*k + 142. Let n be x(-14). Let h(p) = 8*p - 3. Let t(o) = -105*o + 39. Give n*t(a) + 27*h(a).\nAnswer: 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 313340 - 421401?\nAnswer: -103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-3)\/(-6))\/((-1)\/6). Suppose 0 = 2*a + f, -5*a - 10 = m - a. Let w = 2.3 + 1.7. Put w, m, -3 in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 215989012*i**4 + 47*i + 2596972?\nAnswer: 2591868144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5*m + 0)*(3 + 4 - 6) - 51*m + 132*m + 4 - 6 as z*m + s and give z.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - a + 0*a)*(-3 + 7 - 3)*(-9*a**3 - 11*a**3 - 2481 + 2492).\nAnswer: -40*a**4 + 22*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 5 + (-12)\/(-18))*-351. Let d = w - -237. Solve 5*p + d = -7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7 - (-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1201380.444 rounded to the nearest ten thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54910 - -90639. What are the prime factors of a?\nAnswer: 35729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 211900374, 423800746, 635701118, 847601490, 1059501862?\n\"Answer: 211900372*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 - -57. Suppose 3*z + 4*f - 18 + 3 = 0, -d*f + 10 = 2*z. Solve 2*q + 1 = -z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**3 + 204390120*o**2 - 2088766057680720*o = 0.\nAnswer: 0, 20439012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1269315 (base 10) to base 3\nAnswer: -2101111011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*1*6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18208659, -36417317, -54625973, -72834627?\n\"Answer: v**2 - 18208661*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -0.2, 1\/3, 2641?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000381848596 rounded to seven decimal places?\nAnswer: -0.0003818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -14. Let j = 5 - o. Let m = -1.8869 - 0.1131. Which is the smallest value? (a) 4 (b) m (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39046658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 35*h - 31*h - 24, -3*u + 15 = 3*h. What is the remainder when (-4)\/(-1)*(0 + 5) is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(833) + -1 + sqrt(833) + 2 + (sqrt(833) - sqrt(833)*3)*-4))**2*4*6.\nAnswer: 120960*sqrt(17) + 71972064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*(-7)\/((-14)\/48). Suppose -9*s + l*s = -665. Let f = 146 + s. Calculate the greatest common divisor of f and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42790 and 4668.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*o = -481*o + 72. Solve 0 = -13*b - 5*b - o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2189 + 89 = -14*v. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4, 10\/9 in decreasing order.\nAnswer: 10\/9, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21795, 27242, 36319, 49026, 65363, 85330, 108927?\n\"Answer: 1815*s**2 + 2*s + 19978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*s + 3*s - 3*v, 2*v = s - 9. Let j = s - 6. Let k be (2\/(-8))\/((-3)\/4). Which is the smallest value? (a) -1 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 2*g - 2. Let n(m) = 401*m**3 + 401*m**2 + 802*m + 802. Give -802*d(q) - 2*n(q).\nAnswer: -802*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -998 - -34931\/35. Let l(h) be the third derivative of 0*h**6 + 0 + 0*h**4 + h**3 + 17*h**2 + q*h**7 + 0*h + 0*h**5. Differentiate l(f) wrt f.\nAnswer: 24*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 6. Let q be w(-12). Let l(n) be the second derivative of 1\/2*n**2 + 0 + 1\/10*n**q + 0*n**5 + 0*n**3 + 0*n**4 - 3*n. Differentiate l(j) wrt j.\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/4)*g)\/(g*g**(2\/47))*(g**(1\/2)\/g)**(-38) assuming g is positive.\nAnswer: g**(3611\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-44)\/(-10) - (-32)\/72*-9. Let k = 3.15 - 3. Let q = k - -0.05. What is the second smallest value in -4, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - j + 11 = 4*o, 0 = -5*o + 2*j + 31 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13523 + 13565. Solve 0 = 19*a - 33*a + c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1159*l**2 + 1170*l**2 + 1352*l**2 to the form g + b*l**2 + k*l and give b.\nAnswer: 3681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -48*l + 68. Give u(-4).\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 4*r - 17, 0 = 2*q - 6*q + 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 158\/1546785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 119*i**2 + 1721*i - 1262. Calculate u(-102).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3577829953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-126)*-3)\/(-2). What is the closest to 229 in -3\/7, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 11*t. Let g be u(-8). Suppose -3*f = 0, 2*f + f + g = 2*q. What is the highest common factor of q and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209378423 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -33\/7 at most 1\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -5*t + 4*d + 4, d = -2*t + 12. Suppose 11*b + t = 15*b. Which is smaller: 1\/6 or b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 87\/4, 1, -4, -1.295?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -402890000 to the nearest 1000000.\nAnswer: -403000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -15. Suppose 59 = 10*z + 29. Sort 2, b, -7, z in increasing order.\nAnswer: -7, b, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42511\/2 - -21258. Solve -1\/2*c**5 - t*c**3 + 5\/2*c**4 + 3*c + 0 - 5\/2*c**2 = 0 for c.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*f - 100*f + 568 = 0. Let n = 142 - f. Sort n, 5, 2 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 212 = 4*g + 220, -5*g = -4*s + 546. Let f = -103 - g. Solve -f*q + 11 + 6 = 2*a, -q = -5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11619*s - 349723 - 284572 - 16369 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 2. Let p = -1 - -1. Suppose 2 = 5*k - 3*l + 5*l, k - l - 6 = 0. Suppose p*b - k*b = 4. What is u(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6485 - 172*d - 6485.\nAnswer: -172*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4521795216.\nAnswer: 2, 3, 23, 4095829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37329985 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45324 at most 45322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggkd when four letters picked without replacement from mmjjkkkdgkkkkdkggdk?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + 155\/15. What is the remainder when n\/22*(1 - -51) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*h = 62*h - 41*h - 620 for h.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)*c)\/c**4)\/(((c*c**4*c)\/c)\/c**(1\/8))*((c*c**0)**(-4\/9))**(1\/13) assuming c is positive.\nAnswer: c**(-52757\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6773, 10012, 13247, 16478?\nAnswer: 19705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 + -16.81. Let i = t + 16. Let n be 2*2\/(-52)*2. Which is the nearest to i? (a) n (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(-5 + ((1 + sqrt(931))*-2 - -1*sqrt(931)*-5))**2.\nAnswer: -913360 - 13720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 9*w**2 - 3*w + 24. Let a be m(6). Let s = 20 - a. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3024) + sqrt(3024)*-3)*6*3)\/(-5*sqrt(84)\/(sqrt(972)*-1)).\nAnswer: -3888*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*c - 3030 = -751*c + 5298 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 1 + 1 + (-2 + 0 + 3)*(4 - 2*t - 4) - 1 - 2*t + 1 - 3 - t + 3)*(-28 + 32 - 4*t + 2*t)*(3 + 1 + 2).\nAnswer: 96*t**2 - 192*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1983*u + 881*u + 3429*u + 1092.\nAnswer: 6293*u + 1092","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 947645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -13230, -198, -7\/9 in decreasing order.\nAnswer: -7\/9, -198, -13230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3654 = 4*j - 4302. Is j a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - 22 - 11) + (13 + 40 - (2 + -1)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-5)\/(-15)) + (1 - 0).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*b**2 + 1\/4*b + 0.\nAnswer: -b*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.4851659 months?\nAnswer: 0.0123763825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.8 - 11.8. Are 0.06 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220 (base 3) to base 14.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/118870 and 89\/46894215?\nAnswer: 93788430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 0.252?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2596*i - 350648. Determine t(135).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 10. Let u(n) = 4*n**2 - a*n**2 + 3*n - 4*n. Give u(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3218 + 9069. List the prime factors of h.\nAnswer: 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14965968779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17073 + 1290?\nAnswer: -159a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -742126, -1482755, -2223384, -2964013?\nAnswer: -3704642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288398 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + 3*b - 5. Let l be x(3). What is the highest common divisor of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277016045 is divided by 138508013.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*j + 181689 = 0, -3*j - 136266 = 2*n + n. Let c = -76219 - n. Is 4\/2*(c\/(-12) - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28343?\nAnswer: -28343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17969, -18013, -18057, -18101, -18145, -18189?\nAnswer: -18233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g*g*g**(-3))\/(g\/(g\/(g*g\/((g\/(g**(-2)\/g*g*g))\/g)))*g)*(g**0)**(2\/25))\/(g\/(g*g**(-4))*g**(5\/3)*g*g*g**3*(g**(-2\/9)*g)\/g) assuming g is positive.\nAnswer: g**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -20444?\nAnswer: 20443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c79 (base 16) in base 4?\nAnswer: -12301321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7527*k**2 + 15026*k + 64. What is o(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(100\/10)*(-18)\/(-10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611 = -29*l + 76*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 - 3*n - 6. Let v be 4 + -9 - 4\/(-4). Calculate m(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1620379 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -16*(65\/104)\/((-10)\/(-12))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - f**2. Let c be y(-2). Let k(m) = m**3 - 3*m**2 - 6*m + 2. Let b be k(c). What is the lowest common multiple of 8 and (-40)\/b*6\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + -4*(sqrt(832) + sqrt(832) + 4)) - (5*(5*sqrt(832)*6)**2 + 3).\nAnswer: -3743923 + 256*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 609929\/5106 - 2738\/23. What is the common denominator of p and -26*(-2)\/10 - -2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w - 17 - 31 - 27. Let d = 15 - 3. Calculate the smallest common multiple of s(17) and d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 4*n + 2, -5*o + o - 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.9 and 21790363135.\nAnswer: 21790363117.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 40605330 to the power of 1\/2, to the nearest integer?\nAnswer: 6372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 9317*i**5\/20 - 457*i**4\/12 - i**3\/2 - i**2 - 35*i - 3. Find the third derivative of j(s) wrt s.\nAnswer: 55902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w**2 + 4*w - 2. Suppose 5*y - 5 = 0, -2*n - 1 = -4*y + 1. Let b(g) = -5 - n + 5 + 2 - 2*g + 2*g**2. What is 5*b(c) + 2*f(c)?\nAnswer: 2*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3 - 9. Suppose -3*z = -3*v + 54, -4*z = -r*v + 3*v + 24. Is 8 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 575479767?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3726 + -7.3726. Let h = -3.93 - -4.1. Let g = 0.33 + h. What is the second biggest value in m, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (4 - -6) - (7 + -7 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.8 - 6.86. Let s = -0.44 + d. Sort 0.3, s, 0 in decreasing order.\nAnswer: s, 0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*u - 52*u + 30935. What are the prime factors of u?\nAnswer: 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -455*r + 653*r + 428 - 411 + (5*r - 2*r - 4*r)*(4 - 1 - 5).\nAnswer: 200*r + 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + s + 2 = 0, 5*g + 2*s = 4*s + 4. Suppose 4*m - 8 = -g*m. Find the second derivative of -2*o + o - m*o**5 + 7*o wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {a: 1, u: 1, h: 2, z: 1, t: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 108 + 44. Suppose -7*g + 5*g = -y. Let t = 28 + g. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppxt. Give prob of picking 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.76 - -17.76. Which is the third biggest value? (a) -37\/4 (b) k (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = 4*v - 3*v, 0 = 4*v + 2*s - 60. Factor 4*n**3 - 3*n**2 - 2*n + v*n**2 - 2*n**4 - 9*n**2 - 2*n**5 - 2.\nAnswer: -2*(n - 1)**2*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -9*c**3 + c**2 + 58*c + 192. Determine k(-3).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3519*d - 22 = -3497*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**4 - s**3 + 1. Let o(a) = 45*a**4 + 6*a**3 - 4*a**2 - 20. Let t(i) = -o(i) - 6*r(i). Find the third derivative of t(h) wrt h.\nAnswer: -936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, z: 2, k: 1}. What is prob of sequence zt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yysz when four letters picked without replacement from {s: 3, z: 5, y: 8}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -0.1 (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 + (1 - 1 - 1)*(1 + 1 - 4) - 1 + 4 - 1)*(-s**3 - s**3 + s**3).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 162129 + -89129. Round q to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.674091825 rounded to two dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 15*y + 11. Determine x(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -0.1. Let y be ((-12)\/10)\/(18\/(-60)). Let j = y - 11\/3. Put o, -0.4, j in decreasing order.\nAnswer: j, o, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2, g + 3 = -0*g + 2*r. Suppose -6 = 6*t - 0*t. What is the nearest to t in -5\/4, 2, g?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19*b**3 - 13*b**2 + 6*b - 10. Let u(h) = -h**3 - 2*h**2 + 2*h - 2. What is -t(q) + 5*u(q)?\nAnswer: 14*q**3 + 3*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let n be c(2). Let u be (-5)\/2 + (-1525)\/(-610). Solve u = 6*d + 10 - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2 + 5\/(-3) - 560\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f\/(f*(((f\/((f*f\/(f**(2\/7)*f)*f)\/f))\/f)\/f)\/f))\/f)**50\/(f**(-10)\/f**(-1\/3)) assuming f is positive.\nAnswer: f**(3053\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 4\/5, 4, -2\/11, -173, 3, -57\/14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 + 6 = 3*v, 3*v - 2*p = 21. Suppose v*l + 27 = 77. Let x = 5 + l. Solve -f = -6*f + x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 1 = 2*l. Let k(u) be the second derivative of -u**4\/12 - 2*u**3\/3 - u**2\/2 + 7*u + 9. Give k(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m**3 - m**2 + 2*m + 2. Let s be r(-1). Suppose 5*q + 3*z = -s, q - 18 = 2*z + 2*z. Solve 2*c = -q*l - 4, -3*c + 2*l = -4 - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.06 - -34.54. Let o = r + -37.5. Which is the closest to o? (a) 0 (b) 1\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19249, 17622, 15995, 14368, 12741, 11114?\nAnswer: 9487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 222*f**4 + 1209*f**4 + 1324*f**4 + (-4*f + f**2 + 4*f)*(-2*f**2 + 5*f**2 - f**2) to v*f + m*f**4 + h*f**3 + c*f**2 + j and give m.\nAnswer: 2757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19941 = 72240*n - 71849*n for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*c + 41*c + 3*m - 4, c + 4*m = 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 10 = -3*g, -4*g - 2*y + 1300 = 1284 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(0 - 2 + 1 + (2 + 3 - 3)*(2 - 2 + 1) - 3 + 3 - 1 - 1 + 3 - 3)*(-618*d + 1476*d - 671*d).\nAnswer: 561*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -827, -1662, -2497, -3332, -4167?\n\"Answer: -835*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -444.5 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(2\/35)*g\/(g*g*g**(-1\/50)*g) assuming g is positive.\nAnswer: g**(-323\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -143, 118, 379, 640, 901, 1162?\n\"Answer: 261*r - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 2 r when four letters picked without replacement from eeolrrrooerr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 10*y - 1. Let m(h) = -8*h**2 + 294*h + 726. Let w(l) = m(l) + 6*s(l). Suppose w(c) = 0. Calculate c.\nAnswer: -3, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p**2. Let c(q) = -1. Let k(i) = -2*i - 12. Suppose -19 - 5 = 2*n. Let o(s) = n*c(s) + k(s). What is w(o(z))?\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -12926.\nAnswer: -4\/6463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5132834*i**2 - 2 + 2 + 40904750*i**2.\nAnswer: 46037584*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 983670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*(sqrt(832) + sqrt(832) + -2))**2 + -5 + 1.\nAnswer: -16384*sqrt(13) + 852988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 13 - o**2 - 7 in the form k + x*o**2 + t*o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 123\/4, 0.061?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6318 = -661*l + 18139 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 4742 - 4741.9997031. What is z rounded to 5 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**4 + m**3 - m**3 + (-2 + 2 - m**2)*(-4*m**2 - 3*m**2 + 6*m**2) - 6*m**4 + 4*m**4 + m**4.\nAnswer: 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.051 + -0.051. Which is the smallest value? (a) 4 (b) w (c) -7 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20450000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12434645*j**2\/4 - 993510*j + 79380.\nAnswer: 5*(1577*j - 252)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*d + 3*d = 8, -5*u + 50 = -5*d. Let b = 15 - u. What is the greatest common factor of 12 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66579481*f**4 + 332326377?\nAnswer: -266317924*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -11*m + 235. Let u(q) = 54*q - 1174. Let b(f) = 14*p(f) + 3*u(f). Let w be b(29). Solve w = 22*j - 23*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -24) + -16 + -3 + -1 - 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 533.81178 seconds in hours?\nAnswer: 0.14828105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/9 (b) -1 (c) 0.11 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 0*p + 10. Suppose -c - 8 = -2*x - 2, -p*c - 3*x + 9 = 0. Suppose 4*n - 17 + 1 = c. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -22. Let y be 123\/6*u - -1. Let c = y + 74. Calculate the remainder when c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23135, -46226, -69313, -92396?\nAnswer: -115475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -209*a - 1324 + 1324 to w*a + x and give w.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29305672351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 310 - 1733 = 0. Let d = -763 - n. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -255.48873 + 242.8887262. Let s = a + 12.6. Round s to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*w**4 + w**3 - 217*w**2.\nAnswer: -1416*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.81 + 0.03897418.\nAnswer: -19.77102582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 919\/86 - 438\/43. Let x(c) be the first derivative of 17 - 3\/5*c**3 + 0*c + 1\/25*c**5 + k*c**2 + 3\/20*c**4. Factor x(w).\nAnswer: w*(w - 1)**2*(w + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 - 6*a**2 - 9*a - 10. Let s(r) = -6*r**3 + 5*r**2 + 9*r + 9. Let n(u) = -6*s(u) - 5*w(u). What are the prime factors of n(3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**2 - 9*c + 21. Let o be (3\/(-1))\/((-1)\/(-7)). Let m(g) = -3*g**2 + 2*g - 5. Let u(s) = o*m(s) - 5*q(s). Solve u(k) = 0 for k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489616 is divided by 56.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 3. Suppose 0 = 10*x - 14*x. Is c(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p + 25. Let w(s) = -s - p*s**2 + s - s**2. Let a(u) = -u. Give w(a(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2174.2 - 2174. Let q = 1 - -3. Suppose -30 = q*y - 5*t, -y + 3 = 5*t - 2. What is the second smallest value in o, y, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11102352 (base 6) in base 2?\nAnswer: -1010001110001011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 145?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17*g**4 - g**3 - g + 1. Let t(o) = -80*o**4 + 4*o**3 + 42*o**2 + 4*o + 3262. Let u(f) = t(f) + 4*x(f). Differentiate u(v) wrt v.\nAnswer: -48*v**3 + 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f + 16*f - 14*f**2 + 13*f**2 - 9*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1687 - 1698 - 7131*s + 3385 as d + g*s and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2*(-8)\/((-32)\/6) + (-2001 - -1991)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13739 is divided by 1686.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4698 and 1674?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 16*x**2 - 7*x + 1. Let o be q(-9). Suppose o*z = 229*z - 2742. List the prime factors of z.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 9. Let w = 2 + 2. Let g be 1\/(-3) + 30\/9. Suppose z = -2*z - g*r + 12, 5*r = -z + w. What is m(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -457, 2400, 4 in ascending order.\nAnswer: -457, -19, 4, 2400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6350 and 80.\nAnswer: 50800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933318, -933276, -933200, -933084, -932922, -932708, -932436, -932100?\nAnswer: -931694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 + -43. Is (6\/p)\/((-4)\/416) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*q**2 + 29*q**2 + 40*q**2 - 33*q**2 as v*q**2 + m + d*q and give v.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -46. Let c = 54 + n. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3*d*r + 25*c**2*d**3*r + 5667*c**2*r - c*d**2*r - c*d*r + 3492*c - 2*d**3 wrt c.\nAnswer: -6*c*d*r + 50*d**3*r + 11334*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 3*o**5\/10 + 23*o**4\/4 + 26*o**3 - 48*o**2 + 14807*o. Determine h so that p(h) = 0.\nAnswer: -8, -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 2635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -n + 3*n + 4*x, 0 = 6*n - x - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -14, 2, 7, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**9\/7560 - w**8\/20160 + w**7\/2520 - w**6\/720 + w**5\/15 - 3*w**2. Let z(j) be the third derivative of m(j). Give z(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 + 288. Sort p, 4, 83.\nAnswer: p, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 121 + -72. Let b = 53 - m. What is the greatest common factor of b and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 - 4 + 13 + 45*k**2 to the form o*k**2 + y + m*k and give o.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2421, -3679, -4937, -6195, -7453, -8711?\nAnswer: -9969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:39 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let f(h) be the second derivative of -2*h + 0 - 1\/3*h**3 + 0*h**2. Give f(a(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a microgram in nanograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 229, 472, 715?\n\"Answer: 243*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3856 + 3859. Which is the closest to 2\/3? (a) 85 (b) u (c) -1 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 335722*j - 335710*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 6*p + 3. Suppose p*u + 3*j - 279 = 0, 5*j = -4*u + 365 + 10. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -12*w**2 - 2*w + 1. Let j be f(1). Let a = j + 40. Let q be (-2)\/(-5) + a\/(-5). Let o(n) = -n**2 - 6*n - 5. Determine o(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u + 22. Let z be q(-10). Solve -z*r = -0 + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/3, -9\/14, -1\/9?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5981843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 165c + -2?\nAnswer: 165a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2\/(-4)*(-40)\/28?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -5 (c) -2\/9 (d) -1\/7 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**6\/40 - 17*g**3\/6 - 2*g. Let y(w) be the second derivative of h(w). Let n(z) = -3*z**2. Calculate n(y(o)).\nAnswer: -243*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 210*p - 16. Let u be f(2). Let q = u + -15. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 + 2*m - 4. Let g be q(3). Let d = g - 6. What is the least common multiple of (d\/3 + 3)*3 and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59723*j**5 + 2*j**4 + 250572*j.\nAnswer: 1194460*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/390*10)\/(33\/(-11385)).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2 - 166*j + 243. What is u(-29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7 and ((-72)\/(-42) + -5)*-1 - 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/3)\/((-5)\/(-3) - 1). Let b = j - -13. Calculate the least common multiple of 24 and 2\/(-8) - (2 + (-387)\/b).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6 - (4 + -7)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/3290 and -153\/1059380.\nAnswer: 1059380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230 + 234.72. Let a = 6.02 - l. What is the closest to 0 in a, -4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141050 and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.014 + 0.116. Let n(k) = k**3 - k**2 + k + 4. Let o be n(0). Let f be o - (1 + 92\/32). Which is the second smallest value? (a) f (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 14765*w**2 + 147275*w + 367875.\nAnswer: 5*(w + 5)**2*(w + 2943)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110 (base 2) in base 8?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 1 + -3 + 4. Let r(h) = -9*h - 6*h + d + 4*h. Let f be (-2)\/11 - (0 + (-580)\/44). Let w(u) = 5*u - 1. Determine f*w(z) + 6*r(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 619, 1237, 1855, 2473, 3091, 3709?\nAnswer: 4327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let q = -3.7589 + -0.2411. Which is the nearest to -0.1? (a) -8 (b) q (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-21)\/36))\/(-20*19\/(-190)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29977)\/(-1) - (-112)\/(-126)*9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051 is divided by 157?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/21 and 13\/2578809.\nAnswer: 18051663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -3. Suppose 6*t + 12 = h*t. Let p(i) = -5*i**2 + 8*i + 3. Let w(j) = 6*j**2 - 9*j - 3. Let n(b) = 7*p(b) + 6*w(b). What is n(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7720, 17975, 30776, 46129, 64040?\n\"Answer: v**3 + 1267*v**2 + 6447*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -9. Let p = 262 + -1311\/5. Which is smaller: p or w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 3)*(-1)\/1. Suppose 4*w + 4 = 0, l + 2*w - 6*w = 5. Let j(r) = -2 - r**2 + l - 3*r**2. What is j(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 153. Determine l(19).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010000001 + 1?\nAnswer: -110010000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 + 7938*b**3 + 5337552*b**2 + 114490368*b + 578371584 = 0 for b.\nAnswer: -1312, -14, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 14*k**2 + 22. Is y(14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i = -5*b - 2062, -26*b - 90 - 172 = -30*b - 5*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, d: 6}. What is prob of sequence ad?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 3 - (0 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2275290 and 8797788.\nAnswer: 131966820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-756)\/48*(-9 + (-325)\/(-35))\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218403 = -3*p + 3*i - i, 2*p + 5*i = 145621. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2126\/2645 - -2\/529. Let u = -4.9 - -5. What is the closest to u in c, 1\/3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**3 - 2*b**2 + b + 1. Suppose 24 = -3*z - 5*f, -13*f - 14 = 2*z - 10*f. Let q(g) = 6*g**3 - 3*g**2 + 2*g + 1. Determine z*q(d) - 3*l(d).\nAnswer: -6*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154564844.\nAnswer: 2, 7, 97, 56909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.16, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*x - 72. Suppose 0 = 2*k + 2*z - 28, 0 = -0*k + 5*k - 2*z - x. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/4 and 29\/18606.\nAnswer: 37212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1361\/9 - -151. Let z = -5.5 + 5. Let v = z + 0.8. Put f, v, -0.2 in descending order.\nAnswer: v, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*15\/(-525)*-35?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63 + -129\/2. Let k = -16 - -15.7. Sort k, -1\/6, f in descending order.\nAnswer: -1\/6, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 46*s + 61*s + 3*s + 84. Let j be k(-25). Let w = 3817 + j. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 - 6*d. Let l be k(-5). Suppose -6*n + l*n + 2 = 0. Let v(c) = c**2 - 4*c. Let y be v(4). Solve y = f - 2 - n for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/69 and 23\/57.\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + (3 - 0) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:26 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-15) + 10\/(-6). Let q = 1 - 1. Does 4 divide (-2)\/(c\/(2 - q))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -61.741475 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 - 23) + -4 + 8 - 10 - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928.9199ms to microseconds.\nAnswer: 928919.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2077.5221 rounded to the nearest 10?\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + -2)**2 - -4*(sqrt(7) + sqrt(28) + sqrt(7))) + 2*sqrt(189)\/sqrt(3).\nAnswer: -22*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 9*o**2 + 139*o. Calculate g(-17).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 66347 = 949. Does 138 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3525255 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 - 0) + 6)\/(50\/(-60)). What is the fourth smallest value in 0, -10\/7, 0.1, f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2483*n + 2480*n = 2*s + 63, 5*n - 55 = 2*s for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112717719 divided by 37572573\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 27. Let y = -6 - n. Let w = y - 7.6. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -81. Put 0.3, o, -0.8 in decreasing order.\nAnswer: o, 0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 94*z - 26 - 1.\nAnswer: 94*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 - 6)) + (4 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:23 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -424*1.084.\nAnswer: -459.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 27, 5, -4, -0.1 in descending order.\nAnswer: 27, 5, 4, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 9:27 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 147921893 to the power of 1\/3, to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v + 8. Suppose -5*a + v*a = 120. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*(-28)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d + 28*d - 7*d - 21*d.\nAnswer: 43*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-495)*22*-18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.4. Let o = -2.37 + -6.63. What is the nearest to i in o, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9 + 295 - 3) + 3\/3. Let t = 298 - n. Let i(f) = f**2 + 3*f + 2. What is i(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181104587 divided by 2034883\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by 172?\nAnswer: -205\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from tlltlllltl?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 48243466, 48243462, 48243458, 48243454, 48243450, 48243446?\n\"Answer: -4*j + 48243470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 176665450.\nAnswer: 176665450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63253, 63255, 63257?\nAnswer: 63259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2834067690?\nAnswer: 2, 3, 5, 129587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 15*t**2 - 22*t - 6. Let s(r) = 7*r**2 - 11*r - 3. Let b(x) = 6*h(x) - 13*s(x). Let i be b(11). Solve y = -l + 6, -1 = -i*y + 5*l + 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.098 + -4.902. Put g, -3\/10, -0.1 in decreasing order.\nAnswer: -0.1, -3\/10, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-13) + (0 - (-2142)\/442). Put 0, j, -21, -1, 1 in ascending order.\nAnswer: -21, -1, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 4*u - u - u + (-11*u**2 + 9*u**2 - 8*u**2)*(3*u**2 - 2*u**2 - 3*u**2) - 6*u**4 - 3*u**4 + 3*u**4.\nAnswer: 11*u**4 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5134488, -5134489, -5134490, -5134491?\n\"Answer: -s - 5134487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 + 12. Let t be m(0). Solve 5*p + 2*v = -40 + 10, t = 2*p - 4*v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -106. Let a(u) = -57*u - s*u + 164*u - 56*u + 2. Let c(y) = 2*y**3 + 3*y**2 + y + 2. Let g be c(-2). Let v(x) = 2*x - 2. What is g*v(h) - 3*a(h)?\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.8416 years in decades?\nAnswer: 62.38416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3342*u**4*v + 64665*u**2*v**2 - 1925054*v**2 + 6*v - 3 wrt u?\nAnswer: 13368*u**3*v + 129330*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 3*z - 2. Let f(a) = a**3 - a**2 - 4*a + 3. Let x be f(3). Let g = x + -9. Suppose -12 = 3*t - g*t. Determine w(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -98*g + 5. Let s be j(0). Solve -3*f = -s*f - 2, -3 = u - f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -31. Let a = t - -25. Suppose -7 + 115 = 36*g. Solve -c = 3*m + 9, g*m + 13 = a*m - 5*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 10*l**5 - 8*l**4 + 6*l**3 - 4*l**2 + 4*l. Let w(p) = 8*p**5 - 8*p**4 + 6*p**3 - 3*p**2 + 3*p. Let c(d) = -3*m(d) + 4*w(d). Factor c(s).\nAnswer: 2*s**3*(s - 3)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + x + 14, 2*l = l + x + 2. Let j(g) = 2*g + 1. Let s(m) = -m**2 - m + 4. Let q be s(3). Let z(p) = -3*p - 4 - 2*p - p + 1. Give l*z(k) + q*j(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19, -10 in increasing order.\nAnswer: -10, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (151 - 99791\/511)*(-21)\/15\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/(-16*(-1)\/72).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3451.\nAnswer: 7, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3779051 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 29*b**5\/60 - 14*b**3\/3 + 9*b**2 - 8*b. Let r(n) be the first derivative of l(n). What is the derivative of r(g) wrt g?\nAnswer: 58*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 6)*(h + 2*h - h)*(-107 - 62 - 26 - 1) as w*h + v and give w.\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 11.137156934\nAnswer: 7.137156934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 3. Let f be h(-6). Suppose -4 = v + v, 2*s - 6 = f*v. Suppose 10*r - 5*r + 120500000 = s. Round r to the nearest one million.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 1. Let o(z) = 18*z - 22. Calculate -4*o(a) - 88*w(a).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -2 + 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 176 = -p, p + 201 = -4*t + 17. Let h be (-6)\/8 + (-406)\/p. Which is the closest to 2? (a) -3 (b) 0.4 (c) -1.4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.875 at least -405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:41 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101\/2 or -1387197?\nAnswer: 101\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 1, -310?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11883 divided by 5.\nAnswer: 11883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2021*v - 55703 = 8969 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0*j)**(-9\/4)*j**(2\/15)*j**(-1\/14) assuming j is positive.\nAnswer: j**(-919\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43.6 - 154.1. Let n = b - -111. What is the smallest value in -2\/11, -0.5, n, 0.06?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/13, -8\/26169, 5?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 3*c - 2*c**2)*(-2 + 3 + 0)*(7 + 10*c - 7) to the form u*c**3 + q*c**2 + j + s*c and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + 0.1. Let t = -16 - -25. Suppose 0 = -3*h - 3*l + t, 24 = -4*h + 2*l + 3*l. What is the closest to 0 in o, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence thh when three letters picked without replacement from hhthhthh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2753, 2694, 2635, 2576, 2517?\n\"Answer: -59*t + 2812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/13*c**3 + 0*c**2 + 0*c + 0 = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56, 113, 170, 227, 284?\n\"Answer: 57*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*d - 2*q - 14, 23 = 5*d - 4*q. Suppose 3*n = -4*h + 75, -3*h = d*n - 0*n - 57. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 998470*u + 998469. Calculate w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*g + 4. Does 9 divide (-360)\/8*3\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2738 by 2738.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**3\/6 + 2*m. Let x(t) = 35*t - 691 - 729 + 1420. Calculate s(x(z)).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -5*u - 177. Suppose -15*c + u*c - 12 = 0. Suppose 3*v = -5*b + 48, v + v = -4*b + 38. What is the smallest common multiple of c and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104629 and 93?\nAnswer: 9730497","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396035146.\nAnswer: 2, 13, 149, 102229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -5*m. Let s be (-5)\/((-20)\/6)*m. Suppose 3*a - 11 = -4*x, -4*a = -s*x + 3 - 1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 22 = h, 780 - 794 = -3*b - h for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**3 + 1. Let m be 4\/26 + (-50)\/(-13). Let p(k) = -2*k + k + 4*k - m*k. Give w(p(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 376*y**3 - 376*y**3 + 15*y**5 - 4*y**5 + y**5 + 5*y**5 + (-y**4 - y + y)*(-y - 3*y + 2*y).\nAnswer: 19*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - 2.9. Let j = 1819\/42 - 302\/7. What is the closest to j in 0.2, 0.4, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4}. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 c when four letters picked without replacement from {x: 3, c: 3, g: 1, p: 4}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 2*p + 12. Let x be o(5). Let f = -15 + 19. Suppose x = 2*z + 5*i, -f*z = 3*i - 31 - 73. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = a + 5*x + 10, -3*a + x = -2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from iiijiipckjcccibip.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -357574000 rounded to the nearest one million?\nAnswer: -358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*n**3 + 133*n**3 - 71*n**3 + (-3*n - n + 6*n)*(0*n**2 - 4*n**2 + 3*n**2).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1746 - -1740. Which is the closest to -2? (a) -0.3 (b) q (c) -0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 8*j**2 + j - 7. Let n be t(8). Suppose 5*a - 45 = -0*a. Let u be 4\/(-10) - (-27)\/5. Solve u*d + n = -a for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*z**3 + 3*z**3 - 18*z**3)*(0 - 2*z - 3 + 8*z) to r*z**3 + w*z**2 + i + n*z + y*z**4 and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*j = 102*j - 12*j - 1463 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j**3 - 22*j**2. Let x(w) = -1 - 9*w**3 + 1 + 15*w**3 + 7*w**2. Let q(r) = -2*t(r) - 7*x(r). Find the third derivative of q(p) wrt p.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 7*s = 3*t + 176, -5*t + 161 = -3*s. Calculate the common denominator of (14\/1)\/(4\/(-5)) and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 5*f + 7*f)*(5*f - 3*f + f + (2*f + 2*f - 3*f)*(1 - 2 + 2) + 0*f + f + 0*f)*(-4 + 0 - 1)*(-3 + 0 + 25).\nAnswer: 2750*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135609072?\nAnswer: 2, 3, 67, 149, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjtt when four letters picked without replacement from {i: 1, p: 1, l: 3, j: 2, t: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (sqrt(112) + (sqrt(112) + 5)*-6 - (-3 + sqrt(112)*-3)))**2*3.\nAnswer: 1680*sqrt(7) + 5019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1199 or -1195?\nAnswer: -1195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.5 (c) 2\/5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13125, -13061, -12913, -12645, -12221, -11605, -10761?\n\"Answer: 6*k**3 + 6*k**2 + 4*k - 13141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2, -0.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24\/11, 1, 1774, 0.2, 54?\nAnswer: 1774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8083 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 11:20 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -242*q**3 - 628*q**2 wrt q?\nAnswer: -1452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1412\/14 + (26\/(-14) - -2). Let j = u + -106. Let m(r) = -2*r - 4. Determine m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2995*y**4 + y**2 + y + 1189 wrt y?\nAnswer: -71880*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 863555 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 64*c - 69*c - 85 = 0, c - 10 = -2*t. Let q(d) = 6*d**3 - 17 + 2*d**3 - 17*d - 4*d**3. Let w(u) = u**3 - 4*u - 4. Determine t*w(p) - 2*q(p).\nAnswer: p**3 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16497 and 6739659?\nAnswer: 1269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*k - 20*k - 49 + 348 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82867.\nAnswer: 173, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 268. Let n(u) = -u - 161. Let r(f) = 3*j(f) + 5*n(f). Let l(g) = g + 1. Calculate -6*l(x) - 5*r(x).\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26857820?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636588824.\nAnswer: 2, 79573603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147, 1826, 2505, 3184?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 + 34. Let d(x) = -10 - 10 + 4 - 9*x**2 + 5*x**2 - 9*x. Let u be d(r). What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = 56 - 2. Suppose -2\/3*p**i - 2\/3 - 4\/3*p = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 18 + 33)*(29*r + 0 + 2 - 28*r)*(3*r - 2*r + 0*r).\nAnswer: 44*r**2 + 88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -1\/2*x**2 - x - 270. Let o(z) = 2*z + 3. Calculate -o(u) - 3*v(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 12:35 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -5*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 4*g)*(614 - 1190 + 725)*(-3*g + 3*g + g**3).\nAnswer: 447*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3*c = 84, 0*g - 2569*c + 2564*c - 80 = -5*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 15*h**2 + 26*h - 11. Let b be r(13). Let s(q) = -q**2 - 11*q - 3. What is s(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 + -36?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10390, -12183, -13990, -15817, -17670?\n\"Answer: -g**3 - g**2 - 1783*g - 8605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/840682 and 27\/46.\nAnswer: 19335686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 44\/(-8)*(0 + 2). Let w = m - -23. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 7*z + 30 + 4 = 0, -2*u + z = 13 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 38)\/5*(-26)\/7. Let b(u) = -u - 8. Let k be b(-10). What is the highest common divisor of f and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19349711 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -88564351*r**3*u + r**2*u - 158*r*u - 2685*r - 4*u wrt r.\nAnswer: -531386106*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-366 - -329 - (-1 - 25)) + 8 + 1 - -46?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((1\/(16\/(-4)))\/((-456)\/(-96)))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**3 - 21*p**2 + 18*p - 37. Is i(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 296 - 257.8. Let s = x - 39.2. What is the nearest to 2 in s, -5, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21382918?\nAnswer: 2, 29, 317, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + -4 + 2 + 61. Suppose -c + w - 9 = -3*f, -3*f = c - 67. What is the greatest common divisor of 87 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 18*i + 22. What is j(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 * -8\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 40148844 to the power of 1\/2, to the nearest integer?\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o - 6. Suppose -140 = 5*r + 4*c + 137, -r - 2*c = 59. Let f = -37 - r. Let u(p) = -p + 1. Give f*u(v) + 3*t(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(77) - 2*sqrt(77))*-2*2)\/(sqrt(66)\/sqrt(6)*6 + (sqrt(44)\/sqrt(4) + sqrt(11) - sqrt(11))*-4))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-106 - 19 - -8) - (4 - -9 - 0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 193, 383, 573, 763?\n\"Answer: 190*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/u*u**(3\/10)\/u*(u**(1\/3))**(1\/17) assuming u is positive.\nAnswer: u**(2713\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-60) + (-1190)\/(-150) - 4. Let w(o) be the first derivative of 26 - 165\/4*o**2 + 14*o**3 - 75*o - 9\/8*o**p. Suppose w(d) = 0. What is d?\nAnswer: -2\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 - -137 - (0 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeii when four letters picked without replacement from jjjeiiejjjjjjjj.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.36 in 0.4, -0.1, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67091 is divided by 1718.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0590387 * 0.5.\nAnswer: -0.02951935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 1:01 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27*(9\/(-18))\/((-2)\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -139418.47425 + -574.\nAnswer: -139992.47425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 + 14*g + 12. Let n(v) = -v**2 - v. Let i(x) = 6*n(x) + w(x). Calculate the remainder when (132\/(-15))\/2*-5 is divided by i(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 1 + 21. Suppose 0 = 5*x + 3*m + 21, 2*x = j*x - 2*m + 2. Which is the nearest to -0.1? (a) x (b) 0.5 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3442603 + -66?\nAnswer: 3442504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventy-six sevenths of a week?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 49915a - 3?\nAnswer: 499157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574714 at most 13724140\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvkkvkvvfvfkvvvvkv. What is prob of sequence fvvf?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 165038.2 micrometers in meters?\nAnswer: 0.1650382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1077, 2231, 3353, 4431, 5453, 6407, 7281?\nAnswer: 8063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5\/4 (b) -0.252 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m + 8*m - 7*m)*(2*m + 0*m - 3*m) + m**2 - 11 + 11.\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 2\/5, 4\/289, -5\/4, 0.189 in descending order.\nAnswer: 2\/5, 0.189, 4\/289, 0, -1, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126220330 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3.1. Let g = i + -0.3. Let v(z) = -14*z - 86. Let y be v(-6). Put g, -0.3, y in increasing order.\nAnswer: y, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/373 or 0?\nAnswer: -6\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48463572 and -0.4.\nAnswer: 19385428.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 - 500?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/147)\/(106\/(-371))*140\/(-1)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1.0954.\nAnswer: -0.5477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, -0.08, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10481, -41589, -93323, -165683, -258669?\n\"Answer: -10313*g**2 - 169*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6236 - 6202) + (0 - 42).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*l - 62*l = 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -84c492 - 42?\nAnswer: -84c504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let m(l) = -10*l. Let b be m(s). Let w be ((-25)\/b)\/(1\/(-2)). Solve -w = -7*g + 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**2 - 6896*j - 354800 = 0. Calculate j.\nAnswer: -50, 1774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2*(-2968)\/(-318)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 6) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45330239*c**3 + 123626*c**2 + 15.\nAnswer: 271981434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 19064875475942\nAnswer: -19064875475930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of u**5\/60 - 3*u**4\/8 - u**3 - 179*u**2\/2 - 26. Let r(w) be the second derivative of g(w). Give r(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4400 = -9*t + 1900. Calculate the highest common factor of 25 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50*1*(5 - 4). Let b = p - -22. Let h = b - 48. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 - -0.17. Which is greater: -0.03 or w?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1185 and -37\/1185.\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-13156)\/(-2024))\/((-2)\/(8\/(-6)))*3\/1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*r - 44*r - 8048 = 90*r + 10600 for r.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 2. Let m be v(-2). Let y be m\/15*180\/(-2). List the prime factors of (y\/(-21))\/((-2)\/(-14)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -650 divided by 5?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 times -10545.143?\nAnswer: 896.337155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -12. Let j be (-12)\/m*6\/(-2). Let s = -7 - -47\/7. Which is the nearest to j? (a) 0.1 (b) s (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 25*t + 30*t + 186, r - 3*r + 176 = -4*t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 16. Let y be w(13). Suppose l + 613 = 4*c + 117, l - 365 = -y*c. Calculate the remainder when c is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 104\/28 + 8\/28. Solve n - 6 = k*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2210 + 12110111210?\nAnswer: 12110102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*y + 35*y - 14*y)*(2*y + y + y).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**2 - 93476*b - 1092220322 = 0.\nAnswer: -23369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5*1 + (-4)\/4. Suppose 24 = 3*c + v, 3*c - z*v - 6 = 33. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - o**3 + (-14*o**2 + 3*o**2 + 5*o**2)*(0*o + 0*o - 5*o + (-3 + 2*o + 3)*(0 + 1 + 0)) in the form j + m*o**2 + g*o**3 + y*o and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 2322?\nAnswer: 2322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 7575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/24 - 11*c**3\/6 + 9*c**2. Let n(v) be the first derivative of o(v). Let a(d) = -6*d. Determine a(n(q)).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let c(j) = -j**2 + j + 1045073. Give c(p(i)).\nAnswer: -i**2 + i + 1045073","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2491410 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45168*h = -45351*h + 6588 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27, -31, -33, -33, -31, -27, -21?\n\"Answer: p**2 - 7*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 234 + -1873\/8. Let i = 96 - 98. What is the nearest to l in -5, i, 12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182\/181 greater than or equal to -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-4))**(-29)\/(s**7\/(s\/(s**(-4\/13)\/s*s))))**(4\/5))**(-23) assuming s is positive.\nAnswer: s**(180228\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303.32 + -0.469226.\nAnswer: -303.789226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 221*m + 449. Give p(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3125 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 2*a**2 + 3*a. Let h(o) be the third derivative of -o**5\/60 - o**4\/12 + 11*o**2. Calculate 3*h(s) + 2*u(s).\nAnswer: -2*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268278156 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00069081 rounded to six dps?\nAnswer: -0.000691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 3*x. Let r be k(3). Let j = r - 13. Let p = -115 + 116. Solve -21 = -j*f - p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -9 (b) 0.3 (c) 2\/5 (d) 1 (e) -19 (f) 3833\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.1250633cm?\nAnswer: 1.250633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000035324 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.17 + 0.22. Let u = -0.1 - -1.1. Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5481.84 rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 2*w**2 + 1. Calculate g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 - (783\/144 + -5) and -27\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 125\/2 + -29. Find the common denominator of 25\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.0628 * -0.3\nAnswer: 0.01884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 14) in base 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*h**5\/7 + 42*h**4 - 1014*h**3\/7 - 1566*h**2\/7 + 3144*h\/7 - 120 = 0. Calculate h.\nAnswer: -2, 1\/3, 1, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 23*t**2 - 81*t - 221. Is i(-20) a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvllllvmlblb. What is prob of picking 1 m, 1 v, and 1 b?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b - b + 5*b - 1 - 2*b + 1 + (-1 + 1 - b)*(-3 - 1 - 1) + 3 - 3 - 2*b + b + 8*b - 4*b to the form u*b + i and give u.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1 + 0*u**3 - u**3 - 4*u**3 + u**3. Let i be f(1). Let a be (-15)\/(-3) + i - -3. Solve -y - 5 = a*w - 0*y, 5*y - 21 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 31 - 55 = 12, 4*j - 19*g - 175 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.189938 take away -8?\nAnswer: 7.810062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31725*d**6 + 2773*d**5 + 351565020*d**2 wrt d.\nAnswer: 3807000*d**3 + 166380*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2502 + -3668. Let j be o\/(-5)*380\/(-48). Let z = j - -1842. Find the common denominator of z and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 17\/681 (b) 3 (c) -10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 - 3662?\nAnswer: -370a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -3005, 129, 0 in ascending order.\nAnswer: -3005, -4, 0, 3, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1381 - -1390. Suppose -5*f + 108 = -2*y - 152, -175 = -3*f + 5*y. Calculate the remainder when f is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -21 - -18 - 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135*b**2 + 135*b**2 + 13*b**4 - 14*b wrt b.\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - 0 - 1)*2. Let q = 10 + n. Solve q*b = 3*u - 2*b - 4, 4*b - 12 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204)\/sqrt(588) + 2)*-1)**2 + (-2*sqrt(153)*-3*-6)**2)*-2.\nAnswer: -19432650\/49 - 8*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61174289.001 + 61149164. Let g = q + 25113. Let j = g - -0.001. Which is the third smallest value? (a) -3 (b) -5 (c) j (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 458 - 432. Suppose 4*p + 10 = 6. What is the units digit of 13\/(-2)*p*i + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.52, 2\/7, 0?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -5*i + 58. Find the common denominator of -17\/48 and (-58)\/i*(-6)\/(-16).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 195 - 86. List the prime factors of j.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -30. Let i be (-12)\/(-6)*(4 + w). Let j = i - 5. Solve -5*o - 35 = -j*f, f - 3 + 2 = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94486.278 rounded to the nearest one hundred?\nAnswer: 94500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 141981 divided by -1?\nAnswer: -141981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 39?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r**2 + 3*r + 5. Let d(x) = -2*x**2 + 2*x + 5. Give 3*d(t) - 2*g(t).\nAnswer: -2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -15*u**4 - 5*u**3 - 5*u**2 + 5*u + 4. Let p(w) = -w**3 - w**2 + w - 1. Let k(o) = -f(o) + 5*p(o). What is the first derivative of k(a) wrt a?\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*h - 9 = 23, s = -2*h + 7. Suppose 2*w - s = -q, 4*w - w = -q + 14. Is 10 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (6 - -6) + -20 + -6 - 64.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:03 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 2*j**2 + 3*j + 8. What is n(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 17282.\nAnswer: 34564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-16))\/((-234)\/12)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -182?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.0491236 - -12.049. What is k rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*u + 5 - 5 + 0 - 18*u**2 wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6650411 is divided by 1974?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 5*q**2 - 3*q**2)*(-7 - 13 - 5) + 5*q**2 + 2*q**2 + 0*q**2.\nAnswer: -43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 92*i**2 - 13*i - 18. What is the tens digit of p(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954257 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-129)\/(-3)*(-4)\/2. Let v = -49 - r. Let u = v + -5. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-10)\/(-15))\/(2\/(-6)). Let t be 1\/(-2)*(o + 2). Suppose t = -0*g - g + 22. Calculate the highest common divisor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*t + 184 = -5*t, -t - 4 = 0. Let h(d) = d**2 - 4*d + 9. Let j be h(5). What is the remainder when m is divided by j*(2 - (-2 - -3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4*-509\nAnswer: 712.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {j: 3, x: 1, h: 10, n: 5, z: 1}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000051 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 221 = -396 + 19 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/((-192)\/(-4)))\/((-6)\/(-8))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 29373000 to the nearest one hundred thousand.\nAnswer: 29400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 21 = -4*c, -r + 8*r + 39 = 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*d - 26 + 8 = 0, 0 = j + 3*d - 14. Suppose -l + 2*v - 2 = -j*l, 0 = 4*v. Find the third derivative of -q**6 - 4*q**l + 2*q**6 + q**2 wrt q.\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 g when four letters picked without replacement from synsgsyysnyyy?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t - 2. Let h be b(-7). Let p = 22 - h. Solve j - p = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -82*h + 107*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1422)\/2212*(-4)\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*p = 112*p + 319368. Calculate the highest common factor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*n + 8*n - 3*n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 2, -157 in increasing order.\nAnswer: -157, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -6*t + 2*s - 4, 3*s = 5*t + 22. Calculate the common denominator of (-2)\/9 + 1329*t\/(-54) and -36\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c**3 + c**2 + c - 4. Let x(z) = -26*z**3 + 6*z**2 + 6*z - 21. Calculate -11*b(m) + 2*x(m).\nAnswer: 3*m**3 + m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 18 + 12. Suppose -u + 3*u + 12 = 0. Let k be (-201)\/u + (-3)\/t. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696032.\nAnswer: 2, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:27 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10)\/3*(-102)\/208 and -109\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2175 and 9\/250.\nAnswer: 21750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 10. Let u = 60 - 35. Suppose -4*v - v - u = -5*w, -5*w + 7 = v. Sort n, 0, v in ascending order.\nAnswer: n, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125.13 + -125. What is the third smallest value in m, -2\/7, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 42*d - 218. Determine y(36).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5fad (base 16) in base 12?\nAnswer: 12211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 11*u**2 + 35*u - 122. Calculate d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 513 - 5?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 0.4, 0, 2\/7, -48\/43?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-520) + 40\/13. Let u(b) = -7*b - 2 + 1 - 9*b**2 - 3 - 5*b**3. Let h(z) = 9*z**3 + 17*z**2 + 13*z + 7. Let g(j) = 6*h(j) + 11*u(j). Give g(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -325 at most as big as -63\/1331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222707 + 20266000\/91. Let p = d + 27\/7. Which is the nearest to -1? (a) p (b) -3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 691 + 555 = 2*t. Suppose -3456 = -5*c - 3*x, -2*c - 5*x = -748 - t. Is c a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence idd when three letters picked without replacement from {t: 1, d: 5, i: 5, s: 8}.\nAnswer: 50\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 817477 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a + 2. Let g(i) = 19*i + 7. Let d = -30 + 21. Let l(r) = -38*r - 14. Let b(f) = d*g(f) - 4*l(f). Let n = 168 - 161. Give n*o(j) + 2*b(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 94132068 to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 + 0 = -4*d, 5*d = -y. Let g(h) be the first derivative of h**4\/4 - 3*h**3 + 7*h**2\/2 + 5*h + 3. Let n be g(8). Sort n, 3, y in ascending order.\nAnswer: n, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**2 + n**2)*(29*n - 82*n - 236 + 234).\nAnswer: -53*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002019436 rounded to 7 decimal places?\nAnswer: -0.0000202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4 - 2056*r**3 + 110166*r**2 + 116324*r - 224432 = 0.\nAnswer: -1079, -2, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 41 - 8*s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19987972 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -70347 divided by 131\nAnswer: -537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 338 = 4*v, -2*j = 2*v - 3*j - 170. Let k be (-3)\/(v\/34) + 15\/10. Sort 4, -1, k, 0.1 in decreasing order.\nAnswer: 4, k, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*g - 60*g - 1259 + 105*g)*(-3 - 2 + 4 + (-5 + 3 + 3)*(0 - 3 + 1)).\nAnswer: 3*g + 3777","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 84538773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at least as big as -0.017425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecce when four letters picked without replacement from ececeeccceceeeeceee.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*m**3 + 52*m**2 + 4*m?\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2 + 2*j - 5*j)*(j**2 - j**2 - j**2).\nAnswer: j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6457541 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/63 - (-14)\/(-18). Let j be s\/3*(-42)\/(-35). Let m = 26 - 25.9. Sort m, -0.3, j in descending order.\nAnswer: m, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + j = 2*j - 2153, 0 = 5*w + 2*j - 2689. Let a be w\/4 - (-2)\/8. What is the greatest common factor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-400)\/12))\/(((-2)\/16)\/(1\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 3. Which is bigger: -1\/28 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 240*z + 4800.\nAnswer: 3*(z + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 146*l - 838*l - 6228 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -80*n + 1. Let z be g(1). Let y = z + 134. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**3 - 2*i**5 + 0*i**3 + (1 - 2 - 3)*(4*i**5 - i**2 + i**2).\nAnswer: -18*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 10*c**2 - 12*c - 5. Let n = -19 - -31. What is the smallest common multiple of n and z(-9)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + (7 - 4) + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0.1, -19\/6, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - c - 1. Let y(j) = -10*j**2 + 6*j + 5. Determine 6*a(m) + y(m).\nAnswer: -4*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 4*x**7\/105 + x**5\/30 - 7*x**2. Find the third derivative of k(y) wrt y.\nAnswer: 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -482867705 - 28.\nAnswer: -482867733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3994, 0.06, 8, 7?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*m**3*v**3 + 3599*m**3*v**2 + 9*m**2*v**4 wrt v.\nAnswer: 126*m**3 + 216*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001385745064 rounded to seven dps?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2 - 441. Let s(y) = -2*y**2. What is s(p(x))?\nAnswer: -18*x**4 + 5292*x**2 - 388962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -19. Let g(d) = d**3 - 6*d**2 + d - 2. Suppose j = x - 0*j - 8, 3*j = -x. Calculate the remainder when k is divided by g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -957 or -953?\nAnswer: -953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2715*s**2 - 91*s**2 + 52*s**2 to h*s + y*s**2 + c and give y.\nAnswer: 2676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*g - 4*m, -2*g = -28*m + 29*m - 9. Let h(u) be the first derivative of -1\/5*u**2 - 1\/15*u**g - 34 + 3\/5*u. Let h(p) = 0. Calculate p.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16767 - 20?\nAnswer: -16787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**2 + 0*s**2 - 3*s**2)*(2 - 2 - 1) + 3*s**2 + s**2 + 3*s**2 - 47 + 47 - 39*s**2.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 29*q + 3*q**2 - 3*q - 2*q**2. Let r(f) = -11*f + 256. Let v(l) = l - 32. Let o(a) = -r(a) - 8*v(a). Calculate o(n(k)).\nAnswer: 3*k**2 + 78*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -123545300?\nAnswer: -123545251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -10. Let n be -3*(0 + 10\/g). Suppose -2*f + 4*x - 25 = -n*f, x = 4*f - 8. Solve 2*k = 5*k - f for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -265*l - 112*l - 300*l as c + v*l and give v.\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 0) + -3)*-1. Let v(x) = -14*x - 4. Let z(d) = -14*d - 5. Let m(g) = -7*v(g) + 6*z(g). Is 12 a factor of m(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 107*u - 2687. Let r be a(34). Solve 2*v - r = -963 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/5 - 644*c\/5 + 47234\/5.\nAnswer: 2*(c - 209)*(c - 113)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 7*y**2 + 9*y - 6. Let u be m(8). Suppose 0 = u*c - 37 + 7. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/3 - -2)*(20 - -4). Suppose -k*m + 17 = -15. Calculate the remainder when 18 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13039\/236 - 54) + (-418)\/360.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.076990673 and 0.1.\nAnswer: 0.176990673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 3. Let l(w) = w + 1. Let s(g) = -10*g + 174. Let p be s(-19). Let k be (p\/39 - 10) + (-28)\/(-6). Determine k*c(r) - 12*l(r).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*z - 36 + 20 + 16 - 9*z**2 - 42*z + 104*z.\nAnswer: -9*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21528.08 - 21528. Which is the nearest to 0? (a) 0.005 (b) 0.1 (c) h (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0*(-1)\/2. Solve -5*g + 25 = -u*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**3 + 4*k**3 - k**4 - 2*k**2 + 2*k**4 + 2*k**2 + (-2*k + 2*k + 2*k)*(2*k**3 + 3*k**3 - 4*k**3) - 250*k + 2896*k**4 - 8237*k**4 + 250*k.\nAnswer: -5338*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, -1, 3227\/16?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 30.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -48. Let k be 1*-1 + (-196)\/y. Solve 0 = -4*l - 2*m + k + 16, -17 = -4*l + 3*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 + 4.89. Let j = -18.442 + 18. Let w = j + 0.242. Sort w, v, -0.5 in decreasing order.\nAnswer: v, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/3 - (-1488)\/(-155). Which is the biggest value? (a) -0.5 (b) 5.9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7963, 7961, 7959?\nAnswer: 7957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 10*h + 20. Let j be m(-4). Let f be 12\/(-8)*j\/6. Solve -2*u + 4 = -3*y - f, -y - 3*u = -8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n. Let d be b(12). What are the prime factors of (2 - (-88)\/(-32)) + 4497\/d?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 37*n**2 - 35*n + 38. Let s be c(-36). Differentiate o + 204 + 15 + 10 + 150*o**s - 2 with respect to o.\nAnswer: 300*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110 - -1000101000?\nAnswer: 111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*z - 7*z. Let h(u) = -4*u. Calculate h(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.053 and -4?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2832 is divided by 2706.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 7*k**2 - 6*k + 3. Let u be g(-6). Let l(c) = c + 2. Let a be l(-7). Let s be u*1*a\/(-15). Is s > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 406?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 u when four letters picked without replacement from {y: 2, p: 4, k: 4, n: 5, u: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + g**2 + g. Let x(t) = 42*t**3 + 8*t**2 + 18*t. Determine -8*m(y) + x(y).\nAnswer: 26*y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, 2.94, 4 in decreasing order.\nAnswer: 5, 4, 2.94, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*p - 3 - 27*p - 112*p.\nAnswer: 11*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94423297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 118*l - 7816. What is r(65)?\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22256 and 29952?\nAnswer: 3204864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/2))\/s**9)\/(s\/((s**(-9)*s)\/s)*s**(-9)\/s) assuming s is positive.\nAnswer: s**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 18 = 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - v**2 - 1. Let i(w) = -16*w**3 + 3*w**2 + 2. Let z(h) = i(h) + 3*n(h). Determine z(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/5 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 763426889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -2*o + p, -4*p + 16 - 96 = -o. Suppose 824 = 13*l - u, 2*l - 4*u = 85 + 61. Is o equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*x - 6 + 2, -5*h = 3*x - 20. Suppose 3*j - 2*p - 834 = 0, 2*j - h*p = -2*p + 567. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 302626 + 80714. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 578 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 771302083?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3049*a - 2635*a - 15732 = 0 for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + l + 1. Let t(a) = 2*a - 5. Let k be t(5). Let j(f) = -5*f**2 + 6*f + 6. Let c(d) = k*j(d) - 30*r(d). Let h(u) = -3*u**2. What is h(c(z))?\nAnswer: -75*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -30*8\/36*(-26454)\/5. Let c = i + -1269659\/36. Find the common denominator of c and -39\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s - 7*s - 7*s - 4*s in the form y + v*s and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 1. Let t be p(-4). Let q(d) = 24*d - 1030. Let c be q(43). Solve 4*j - 4*f - 3 + 19 = 0, t*j = -c*f - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**5 + 9*x**4 + 3*x**3 - 9*x**2 - 6*x = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 4*s + 2. Let c be d(-2). Let z be c\/4*10\/5. Let i be 36\/(-10) + 2\/(-5). Put -2, z, i in ascending order.\nAnswer: i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -12)\/((-7)\/(7\/2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*b + 2 = 3*k, 2*k - 6 = -2*b. Determine r so that k + 2\/3*r - 2\/3*r**3 - 2*r**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3523340756 and 13234?\nAnswer: 13234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/4460630 and 32\/2934625.\nAnswer: 111515750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/28451 and -8\/50717.\nAnswer: 1166491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Let b = h + 0. Find the common denominator of 103\/14 and (5\/14)\/(-1) - b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -1\/2, 5, -6\/49, 5\/6.\nAnswer: -6, -1\/2, -6\/49, 5\/6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59171, 59096, 58963, 58766, 58499, 58156, 57731?\n\"Answer: -p**3 - 23*p**2 + p + 59194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(2\/5*27\/72)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1751075 (base 8) in base 4?\nAnswer: -1331020331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37629, -42473, -47317, -52161, -57005, -61849?\n\"Answer: -4844*p - 32785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3219.\nAnswer: 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121 less than -5?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(78) - sqrt(78)) + sqrt(78))\/((sqrt(300)\/sqrt(5))\/sqrt(10) + sqrt(6)) - (-3*((3 + sqrt(325))*-1 - sqrt(325)))**2.\nAnswer: -11781 - 538*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 49812757?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 858 + 5511*u + 7*u**3 - 3746 - 3*u**3 + 144*u**2 - 4371*u.\nAnswer: 4*(u - 2)*(u + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -7*s**4\/24 - 3*s**3\/2 + 15*s**2. Let z = 2 + -6. Is 14 a factor of h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5\/20 - h**4\/3 - h**3\/3 - 5*h**2\/2 + 23*h. Let l be p(-4). Factor -4*j + l*j**2 + 2*j**2 - 6*j**2.\nAnswer: -j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27720\/16)\/(-99)*(-8)\/(-60)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-8))\/(3\/(-8)). Suppose y + 1 = g. Solve s - 6 + y = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w**2 + 0 + 0.\nAnswer: 61*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 416 and 21568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3810 - -3815. Let w(m) be the second derivative of 5\/9*m**3 + 2\/3*m**2 + 1\/30*m**t + 2\/9*m**4 + 0 + 6*m. Factor w(d).\nAnswer: 2*(d + 1)**2*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3373799, 3373768, 3373717, 3373646, 3373555, 3373444, 3373313?\nAnswer: 3373162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1120\/(-6))\/(-4)*(-24)\/(-10). Let f be 8*3\/(-15)*772\/y. Let d = f + 80\/7. What is the closest to 2\/3 in d, -1, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a. Let t(s) = 28*s**2 - 11*s - 515. Calculate j(t(r)).\nAnswer: 84*r**2 - 33*r - 1545","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20507*s**3 + 13455*s**2 wrt s?\nAnswer: 123042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + k = 3*k - 6, 0 = 2*i + 4*k for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kbkkkkkbkkbkkkkkkkkb. What is prob of sequence kk?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) 3\/4 (c) 0 (d) -1 (e) -1\/14 (f) 10 (g) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/3 + c**3\/6 - 2*c**2 + 30*c - 11. Determine v(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 4*u, 3*z - 4*u + 3 = -2*u. Let n(d) = -50*d + 2. Calculate the remainder when n(z) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 6*r**2 + r - 6. Let y be x(5). Which is smaller: -27 or y?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 279*s - 296*s + 133 - 14 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -14*v - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 10\/427?\nAnswer: 10\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -224 + 218. Which is the second smallest value? (a) 6 (b) -1\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - s = -10, 4 = -8533*a + 8537*a - 3*s + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-21) + -8*(-450)\/(-105).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/16985 and -33\/1580.\nAnswer: 67940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 37*t**3 + 645*t**2 - 27*t + 59. What is the remainder when p(-16) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10035297799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 157864707 to the power of 1\/2, to the nearest integer?\nAnswer: 12564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 divided by -52.\nAnswer: 391\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 6396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 14*i - 17. Let m be j(8). Suppose 5*g = -m + 281. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 828781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p + 21 = 2*x - 66*p, 5*x - 135 = 4*p. What is the second derivative of -3 - 7*h + x*h + 4 + 57*h - 125*h**4 wrt h?\nAnswer: -1500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*s + 3084, -5*o = -44*s + 41*s + 4664. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2130144 (base 5) to base 13\nAnswer: -136a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639*v**2\/11 + 134062*v\/11 - 29760\/11 = 0. Calculate v.\nAnswer: 2\/9, 14880\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 1056?\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 392176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.6 - -6. Let z = s + -0.1. What is the smallest value in 0, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 2:18 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -160266004 or -160266003?\nAnswer: -160266003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 228736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1229872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21276319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.5184 hours to seconds.\nAnswer: 2478666.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and 25930.\nAnswer: 414880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 9. Let n be f(-8). Let u be -8*n*2\/(-4). What are the prime factors of u\/(-10) + 12\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, -327\/64, -0.3.\nAnswer: -327\/64, -0.3, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 - 5*t + 6. What is the units digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8492341.75 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5602 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2. Suppose -x = 6*x - 4*x. Let g(m) be the second derivative of 0 + x*m**2 - 2*m + 1\/2*m**3. What is b(g(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 5*d - 21, 4*n = d - 2*d - 15. Let k(g) = -9*g + 6. Let z(y) = y - 1. Let j(r) = -k(r) - 6*z(r). Let b(a) = a. What is n*j(o) + 7*b(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 5:59 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.524312 times 116?\nAnswer: -60.820192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 749557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -4128 and -4158 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -343, -55 in descending order.\nAnswer: 0, -55, -343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 7*j**2 - 2*j - 4. Let w be v(5). Suppose 4*y - w = 3*h + 2*h, -2*y - 4*h = 8. Let b(t) = 2*t. What is the units digit of b(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -10, -14 in ascending order.\nAnswer: -14, -10, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33990*d + 3055 = 33943*d for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 52\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(3) + 4 + sqrt(3)*-2 - (sqrt(75) + 1)).\nAnswer: -6*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 5*r - 2. Let o be s(-3). Let k be (o\/(-3) + -1)\/((-16)\/24). Find c, given that 9*c**k - c**2 - 8*c**2 - 3*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**4\/24 + 11*r**2. Let d(c) = 2*c**2 - c**2 - 3*c**2. Calculate b(d(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 - 2*f - 5. Let k = -4 + 3. Let g(t) = t**2 - t - 1. Let j = 5 + 0. Let r(c) = j*g(c) + k*u(c). Find the second derivative of r(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264361634?\nAnswer: 2, 1549, 85333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2100, -5159, -10256, -17391?\n\"Answer: -1019*i**2 - 2*i - 1079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:32 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3 + 8*z**2 - 20*z + 16 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3672*n - 5137 = -164*n + 2535 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -0.4, -154.\nAnswer: -154, -38, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0, 2.21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/29, -19.44.\nAnswer: -19.44, -5\/29, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -232, -205, -166, -115, -52, 23?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81566600 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 562 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*36\/(-3). Let v(l) = 3*l - 13. Let k be v(y). Solve 0*n - j + 16 = 4*n, k*j - 4 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978 is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 2*d**5\/5 - d**3\/6 - d. Let x be k(1). Solve 2*v = x + 3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 28 = x, -13 = -3*r - 2*r + 4*x. Suppose r*d = -d + 108. Let k = d - -22. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0, 0.01, -0.96586.\nAnswer: -0.96586, 0, 0.01, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 736? (a) 0.611 (b) -2\/3 (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c39 - 3?\nAnswer: -2c3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.24 in -7\/2, 5, -1.2, -5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {z: 9, e: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(0 - -32)*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*h**2)*(-57 + 82 + 88).\nAnswer: -226*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 2224.02.\nAnswer: 2224.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*r + 6*r. Let i(d) = 11*d**3 + 5*d**2 + 5*d. Let a(l) = -6*l**3 - 3*l**2 - 3*l. Determine r*i(m) - 5*a(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -438\/23 at most as big as -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: d4d55c (base 14) to base 3\nAnswer: 111111220000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 8*g + 3*g = 77, -3*g - 15 = 0. Suppose -2*o - o + 21 = 0. Suppose -2*q + z = o. Which is greater: 4 or q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*i - 24*i + 74*i - 23*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(150)\/(-2*sqrt(3) - sqrt(3)))**2.\nAnswer: 200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/4 - 2230*p - 9. Let y be 2\/6 - (-34)\/6. Let b(o) = -4*o - y*o + o. Determine b(l(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/4 + (-1 - 14\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209 (base 11) to base 15.\nAnswer: 11b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 20, -8*y + 30 = -5*n - 3*y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -114.44 + 106.1019. Let m = -0.0181 - f. Let c = m + -8. Round c to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1131532426 to the nearest integer?\nAnswer: 33638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 9. Let v = -34 + 41. What is the derivative of v*n**2 + 1 + 3*n**3 - m*n**2 wrt n?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 126*y - 128*y + 24 = 0, -4*d - y + 36 = 0. Solve 2*h = 4*n + 26, -3*h = -2*n - d - 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3 - 9*m**2 + 75*m wrt m.\nAnswer: 18*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -409307 + 3679724\/9. Let l = -449 - q. Sort -0.5, l, -0.08, -5 in increasing order.\nAnswer: -5, -0.5, l, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h - 15 = 55*h + 2*p, -2*h - 5*p = 21. Calculate the remainder when 69 is divided by (h\/2)\/((-42)\/392).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -43. Let l = i + 7. Let k = -0.3 - -1.3. What is the nearest to k in l, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/2*(-3)\/27. Let m be (-1)\/4 - 3285\/(-20). Let t = m - 488\/3. What is the second biggest value in 1, t, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-22) - 2 - (-4)\/(-8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4. Let x be y(6). What is the remainder when 374\/8 - x\/8 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.546627639 to 5 decimal places.\nAnswer: -0.54663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22*(-22 + 720\/32) - -21?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000041271918 to seven dps.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14450197 is divided by 5228.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 4, -2, 669, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x - 1 = 0. Let f = x - 0. Let d = 2 + f. Solve 0 = p + d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (1 + (13 - 3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 67c3?\nAnswer: 67c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 - -1159\/27. Let m = -7 + 6. Is i <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17924 + -19721. What is the third biggest value in -0.3, -2, -0.4, -3\/8, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -186.8646 rounded to one decimal place?\nAnswer: -186.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-33)\/220)\/(27\/15)*-3. What is the second biggest value in v, -0.02, -0.41?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -35*x + 383. Let r be m(11). Which is the second smallest value? (a) -0.1 (b) r (c) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8321.047 millennia?\nAnswer: 99852564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46, 61, 76?\n\"Answer: 15*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/(-21) + 1\/3. Suppose 5*n = 4*o - 4, -2*o + y*o + 2 = n. Let j = 8 - o. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 - 13)*(-27)\/6. Let y = -14 - l. Put -3, y, -2, 4 in increasing order.\nAnswer: y, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence deee when four letters picked without replacement from deedeeeee.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3725\/42 + 860\/7. Let l = 34 - b. What is the closest to 0.1 in -5, -3\/4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = s - 9, 4*a + 3*s = 2*a - 3. Let n be 1*(-2 + a)*2. Suppose n*k - 42 = -4. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -682*m + 677*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3423 + 5?\nAnswer: -3417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/42 - 56\/98.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -122 + 193. Suppose r = -4*w - 49. Let u be (1\/(-2))\/((-5)\/w). Put 4, u, -0.2 in decreasing order.\nAnswer: 4, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*g - 305*g**3 + 85*g - 165*g - 7*g wrt g?\nAnswer: -1830*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((425\/(-17))\/(-125))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 208, -9, 0, 54\/5?\nAnswer: 208","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 0 - (0 - 8))\/(10484\/(-36694))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15281743*m*s**2 + 11*s**2 + 3*s - 1281 wrt m.\nAnswer: -15281743*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 197*a**2 - 124*a + 2665. Give o(98).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -567*r - 1452. What is the ten thousands digit of o(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 - (5 + -5). Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134293 is divided by 239.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 358144, 1432597, 3223358, 5730427, 8953804, 12893489?\nAnswer: 17549482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 338*h + 7*h + 188*h + 231*h + 31*h as m*h + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*y**4 + 7*y**4 - 12*y**4)*(29 + 8 + 32) to c*y**4 + o*y + x*y**2 + a*y**3 + i and give c.\nAnswer: -2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1084881, -2169770, -3254659, -4339548, -5424437?\nAnswer: -6509326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 31 = -1. Find the third derivative of 17*r**2 + r - r - 2*r**6 - w*r**6 wrt r.\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 4*t**2 - 5*t - 4. Let k = 1 + 2. Let x = k - 6. What is the units digit of w(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*2*(-3)\/(-2). Let p be (s\/4)\/3*0. Suppose p = -5*d + 5. Which is smaller: d or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*p**2 + 21477*c**3*p*s**2 - c**2*p**2*s**2 + 3*c**2*p**2 + 1474*c*p*s**2 wrt c.\nAnswer: 6*p**2 + 128862*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6363276 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49 or 9?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(250)*-2))**2.\nAnswer: 13\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78392198 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**7\/42 - k**6\/15 - k + 9. Find s, given that t(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20075595193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 17. Let n(a) = -1. Let v(q) = j(q) - 2*n(q). Let r be v(7). Suppose 11*i = r*i. Solve -3*c + 4*c + 5 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 - 10856*k**3 - 29310808*k**2 + 827096928*k - 5804611344.\nAnswer: -(k - 14)**2*(k + 5442)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 + 18*k**2 - 171*k\/5 + 84\/5.\nAnswer: -3*(k - 28)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 295. List the prime factors of b(0).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 48 + 6. Calculate the highest common factor of 63 and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1508*k**3*q**2 - 2*k**3 - 293*k**2*q wrt q?\nAnswer: 3016*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 43*i**2. Let o(v) = -15*v. Give j(o(d)).\nAnswer: 9675*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 131452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + 5*w + w)*(-w + 3 - w - 1)*(-1 - 3 + 8).\nAnswer: -24*w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*v - 4*v + 2*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.1, -0.09, -0.4, 2, -13.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/7*d**4 + 0*d**3 + 0*d - 2\/7*d**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (9 + -4 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/15)\/(1\/110). Suppose s + 26 = 5*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684 is divided by 1256.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 i when three letters picked without replacement from iwttwp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*b + 188, -7*b + 11*b = -2*i + 100. Calculate the highest common factor of 414 and i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + (-6)\/(-4))*18. Let j be ((-103782)\/6918 - q) + 6. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0.5, 88160, 2\/3, 19 in descending order.\nAnswer: 88160, 19, 2\/3, 0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372970342.\nAnswer: 2, 19, 89, 110281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2. Let i(c) = -4*c**2 + 4*c. Let z(d) = -i(d) - 5*q(d). Calculate z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -7*y**2\/2 - 4. Let z(u) = 15*u. Let g(h) = -13*q(h) - 6*z(h). Determine g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.88 + -0.12. Let v = -17 - -17.2. Sort k, -0.2, v, 2.\nAnswer: k, -0.2, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1301, -1296, -1291, -1286?\nAnswer: -1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 2*p**3 + 2*p**2 - 10*p. Let i be d(-8). Let z be 15\/4 - 7\/i. Solve -5*v = 4*c - z, 4 + 0 = -v - 2*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -302*o - 5127681 + 5107749 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -297*l. Let x(a) = -1801*a**2. Give r(x(z)).\nAnswer: 534897*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 6 = b, -3*a - 3*b + 6 = 0. Let l be ((-1)\/(-2))\/(a\/6). What is the third biggest value in -1, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least as big as -15902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63.8 + 64. What is the closest to r in -2\/3, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-139 + 283 - 143 + 789*q**3)*(0*q - 5*q + 3*q).\nAnswer: -1578*q**4 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g + 33. Let b = g - -5. Suppose m + b = -3*m. Let r(l) = -3*l + 6. Let h(y) = 3*y - 5. Determine m*r(q) - 5*h(q).\nAnswer: -3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 307953527?\nAnswer: -5\/307953527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -83, 3 in decreasing order.\nAnswer: 5, 3, -19, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:05 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 4 + 1)*(-3 + 1 + 3) + 0 + 0 - 1 + 3 + 1 - 6)*(21260 + 6*w + 6*w**5 - 7*w**5 - 21261).\nAnswer: 5*w**5 - 30*w + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 4*w + 2. Let c be (2 + 0)*10\/4. Let v be o(c). Suppose 4*x - v + 3 = 0. What is the smallest common multiple of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/8*(-2 + -10). Let u be f\/4 + 3\/2. What is the biggest value in u, -1\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1561 is divided by 368?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 12) + 0 + 1. Let i be k\/(-8)*(-10)\/(-3). Suppose 49 = i*z - 606. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**2 + 526*a + 1572. Let g be l(-3). Calculate the greatest common factor of 3625 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 774, 0, 5, -1, 1 in descending order.\nAnswer: 774, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 2*j**2 - j**2 + 2*j**2 + 2*j - 2*j + (0*j + 3*j - j)*(j - j - 2*j))*(2 - 2 - j)*(198432 - 198432 - 529*j).\nAnswer: -1587*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 280 and 84?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283370189?\nAnswer: 3, 131, 3265573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Suppose 4 = -c*r - n - n, -8 = -r + 4*n. Suppose r*w - 5*w + 190 = 0. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 2. Let j be n(6). Suppose -65 - 67 = j*s. Calculate the common denominator of 29 and s\/(-72)*(2 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107946 is divided by 1213.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186\/1386 + (7*14\/931 - (-910)\/5434)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16072226?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -215930 divided by 9815\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/146 + 3985\/9198. Find the common denominator of u and 5\/33.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d + (-4 + 1 + 2)*(-2 + d + 2) + 0*d + 2*d - d)*(2 + 0*d - 3*d + 5*d).\nAnswer: -2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 10*r**2 + 18*r + 23. What is l(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148547735?\nAnswer: 5, 7, 4244221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 441598 = -0*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -57400.\nAnswer: 114800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 12, q: 6}. What is prob of sequence qqqq?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 124 + -50 - (-20 + 161)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*k - 4340 + 4242. Determine p, given that -2\/7*p**4 + 10\/7*p**3 + k*p + 26\/7*p**2 + 0 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688 divided by -56?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*i - 84 = 0, -s - i + 165 = -6*s. Let t be (s\/(-40))\/(2\/5). Suppose 6 + t = q. What is the least common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.735 - 0.3758. Let m = y + 0.1178. Let x = m + 1. What is x rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 890120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4496)\/132 + 2960\/(-165) + (-95 - -113)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*z - 73, 3*j - 2*j - z = 15. Suppose -8*i + 3*i = -2*g + 24, -g = 4*i + j. Solve -2*d = g*d - 4*b, d + 4*b - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.18 to the nearest 10.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 6. Let v = b + -58. What is the remainder when 510\/22 - (-8)\/v is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -254 - -509. What are the prime factors of v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -395 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -4 + 5 + 11. Solve 10 = -5*b - m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one halves of a kilometer?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -247 - -409. Calculate the greatest common factor of 198 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100 - 4*s - 19 + 2*s + (s + 3*s - 2*s)*(-1 + 4 - 4) to m*s + h and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 333927105.5 minus -0.3?\nAnswer: 333927105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 2 + 2*r + 3 + 4. Let k be z(8). Let f = 2 + -6. Which is the third smallest value? (a) 1\/5 (b) k (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 4. Let s be l(-7). Let c be 38\/4 + 1\/2. Suppose 12 = -s*o, 5*p + 0*o = -5*o + c. Calculate the greatest common factor of p and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -109*y**3 - 4*y**2 - 5*y + 1. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097810317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -23) + -43 + 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(sqrt(475) - (1*(sqrt(475) + 1) + sqrt(475)))**2 + -3.\nAnswer: -2384 - 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/225*1)\/((-4)\/(-30)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3\/2, 5\/37, 2\/11 in increasing order.\nAnswer: -0.1, 5\/37, 2\/11, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdddtdtttdtdd. Give prob of picking 2 t and 2 d.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125502 and 9334.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 168999 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6027 is divided by 793.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-6)*6\/14. Let f be (0 + 9\/(-6))*2. Let s be f\/9*6\/(-5). Which is the nearest to -2\/5? (a) 0 (b) s (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n + 6*n**3 + 89 - n**2 - 7*n**3 - 73. Calculate the remainder when 63 is divided by a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/21 (b) -8\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - -28. Suppose -n*v + 352 = -40. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 19 + 43 - m as w*m + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -2*n**3\/3 - n**2 - 4*n + 1. Let w = -1678 - -1675. Let m(d) = -d**2 - d - 3. Give w*g(y) + 4*m(y).\nAnswer: 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 23a3a56 (base 13) to base 11\nAnswer: 6275702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42753 + 1054?\nAnswer: -41688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*p - 13 + 5 = 0, 0 = -4*t - 4*p. Calculate the lowest common multiple of (-7)\/(49\/14) - -18 and t\/11 - 368\/(-88).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + 2*i**2 - 15*i**4 - 21*i**3 - i + 73*i - 75*i - 9*i**4 to the form b*i**3 + l*i**2 + m*i**4 + d + o*i and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/((6*14\/(-189))\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10395790a6 - -4?\nAnswer: 10395790aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2192 and 832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((5*(-1*sqrt(242))**2 - (1 + sqrt(242)*2 - sqrt(242))**2) + -5 + (2*sqrt(242)*-5 - sqrt(242))).\nAnswer: -429*sqrt(2) + 2886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -139876*i**2 - 157080*i - 44100.\nAnswer: -4*(187*i + 105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19468.995 hours in weeks?\nAnswer: 115.886875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169074?\nAnswer: 2, 41, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.44267 (b) 5 (c) -617\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130201 + -322?\nAnswer: 123213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78969 or -78968?\nAnswer: -78969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 - y**2 + y - 11. List the prime factors of a(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28473388 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -0.122, -50 in descending order.\nAnswer: -0.1, -0.122, -0.2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -11295 at least -11295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r**2 - 16*r**2 + 80*r**2 - 16*r**2 - 25*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 0*q**3 + 0*q**2 - q**3 + 3 + 4*q**2 + 0*q**3 + 5*q. What is i(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**5 + 120962*x**4 + 2*x**3 - 7088178*x**2.\nAnswer: 60*x**2 + 2903088*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) 0 (c) -4\/9 (d) 0.24 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Let v = j + 2. Differentiate 0*b**4 + 4 - 3*b**4 - b**v wrt b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0053036 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407280129?\nAnswer: 3, 5279, 25717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-2) - 4\/(-4). Solve -2*d + 5*h - 6 = 0, 3 = -5*d + z*h - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3*f + l - 10 = 0, 3*f - 2*l = -2. Sort -2, -37, f in increasing order.\nAnswer: -37, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 514*m**2 - 33280*m - 32768.\nAnswer: -2*(m + 1)*(m + 128)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2115*w**4 - 555*w**3*z + 274043*w*z + w - 60*z wrt w?\nAnswer: 25380*w**2 - 3330*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t. Let k(d) = 25*d. Let s(g) = -4*k(g) - 11*w(g). Let p(x) = -3*x + 5. Calculate p(s(m)).\nAnswer: 3*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4598 + 4601. Let g(z) = z**2 + 39*z - 10. Let j = 24 + -17. Let l(k) = -19*k + 5. Let b(u) = j*l(u) + y*g(u). Find s such that b(s) = 0.\nAnswer: 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3341206860 to the nearest one hundred thousand.\nAnswer: 3341200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43782651*f - 1651166.\nAnswer: 43782651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 7. What is the remainder when 36 is divided by c(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897\/598*(2 + (-43360)\/(-3)).\nAnswer: 21683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -26. Suppose -2*g + 0*o + w = -o, -5*g + 2*o + 25 = 0. Solve -1 = s + g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 185838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -177*z + 195*z. Let x be (-2)\/(-9) + 144\/81. Suppose -20 = -x*k - 2*k. Solve z*i = k*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/72 and 137\/2960232.\nAnswer: 8880696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 19*p = 3*m - 26, -4*m + 16 = 2*p. Calculate the highest common factor of m and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/15)\/((-3)\/30). Suppose w = -t - t + 4, j*w + t = 23. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.073, -0.6, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/15)\/((-2)\/5). Let a(f) = -4*f + 3. Let o be a(l). Let r(n) = -2*n - 2. Let b(z) = -2 - 3 - 3*z + 3. Determine o*r(k) + 4*b(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1168 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 2, p: 1, o: 1}. What is prob of sequence op?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.641 rounded to 1 decimal place?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*v**3 - 73152*v**2 + 3695220*v - 101184 = 0 for v.\nAnswer: 2\/73, 62, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -16*t + 591. Calculate c(15).\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -r + 1. Let m(a) = 5*a + 4*a**r - 2 + 0*a - 3*a + a**3. Let n be (-9 - -15)*(-2)\/4. Calculate m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 5*b**2 - b. Let o be f(5). Let z = 5 - 7. Sort 4, z, o in decreasing order.\nAnswer: 4, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 5*r - 6 = 0. What is the units digit of 11 - (4 + -3)*r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {z: 1, s: 1, p: 1, c: 4, l: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0.23, -0.4, 3, 5 in ascending order.\nAnswer: -35, -0.4, 0.23, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1)*(-124 - -92). Sort l, 4, -4, -8 in ascending order.\nAnswer: -8, -4, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.37, 4, -38, 0.026?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -1. Is 13 a factor of k*(34\/(-4) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33744101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73304 = -661*i - 648*i for i.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:45 AM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 take away 5301.148363144?\nAnswer: -5313.148363144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 + -33. Suppose 2*y = -0*y + u. Suppose -4*m + 8 = 0, 2*v - 5*m = -3*v + y. Calculate the remainder when 14 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -317673\/10, 140?\nAnswer: -317673\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3\/7 - 1760*k**2\/7 - 190032*k\/7 + 788544\/7.\nAnswer: -4*(k - 4)*(k + 222)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of w**4\/4 + 3*w**3\/2 - 10*w**2 - w + 269. Let v be m(-11). What is the greatest common factor of 427 and v?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1763, -3524, -5267, -6992?\n\"Answer: 9*i**2 - 1788*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3891 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: (-13)\/((-1430)\/(-90))*12\/(-54)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j - 9*j - j to r*j + k and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63\/4 or -16?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 66*t = 246 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/28 - (2 + -1). Let u = -3 - -2. Which is the smallest value? (a) 0 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 19 = -3, -2*s - 3*x + 628 = 0. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47575120.\nAnswer: 2, 5, 61, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-20) - (-208174)\/(-80). Let s = k + 2614. Calculate the common denominator of s and 1\/(-5) - (-136)\/(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*2 + sqrt(72) + -3 + (sqrt(72) + -1)*5)**2.\nAnswer: -768*sqrt(2) + 4672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 302950943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1103.1 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 - o**4 + 2*o**4)*(4 + 2*o - 4) + 3*o**5 + 0*o**5 - 2*o**5 - 4*o**3 + 4*o**3 - o**5.\nAnswer: -4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 407*x**2 + 353*x - 406*x**2 + 0 - 1771*x + 0 to y*x**2 + d + o*x and give o.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4\/12 - 5*r**3\/6 - 3*r**2\/2 - 2*r. Suppose s = 4*o - 22, -3*o + 0 = 4*s - 26. What is the units digit of y(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a + 2. Let v(r) = -8*r - 4. Suppose 5*l - 9*n = -8*n - 41, -l + 4*n = -7. What is l*f(w) - 4*v(w)?\nAnswer: -4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -592*k - 10947 = -291 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.35 - 2.15. Let t = 2.82 - -0.18. What is the second biggest value in t, z, 2\/59?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 + 37. Suppose -17 + 7 = -2*j. Let p(m) = 0*m - 1 - j*m + 3*m. Let b(z) = 11*z + 6. Give l*p(g) - 6*b(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 2497 and 2497 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -2a2?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in -3\/4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2\/7 + 77974*h\/7 + 95946960\/7 = 0.\nAnswer: -37715, -1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((0 + (2 - 2))*-1)\/1. Suppose -160 = -x - d*l + 5*l, 5*l - 400 = -3*x. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - -2 - (23 - 0) - 69.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-42))\/(9\/(-72))*-7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8070 is divided by 289?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-60) + 6\/15. Let n be (-226)\/(-12) - (-1)\/(-3). Let v = -19 + n. What is the third smallest value in v, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/5 - (-2)\/10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -1.7. Sort p, -4, 4 in decreasing order.\nAnswer: 4, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1005.5 - 788. Let w = -218 + x. Which is the third smallest value? (a) w (b) -0.04 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.44, 5, 0.2327, 1, 0.4, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*f + x, f - x - 5 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*s + 41. Let m = s - 17. Let r(q) = -q - 1. What are the prime factors of r(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 96952.55?\nAnswer: 193905.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.1 + 35. Let v = d + 0.7. Let s = -1.7 - v. Which is the third smallest value? (a) 1\/7 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15975 divided by -9\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-21) - (-2)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6029 + 8128. Calculate the remainder when r is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13679, 13582, 13413, 13178, 12883?\n\"Answer: x**3 - 42*x**2 + 22*x + 13698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 69 = -9*u + 4*k - 142, 89*k - 1078 = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert d25c (base 14) to base 12.\nAnswer: 18b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -118750*l**2 - 2*l + 8. Let r be w(4). Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12029 rounded to the nearest 100?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9894 and 20706.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 9*c**2 - 10*c + 63. What is u(4)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -184 - -188 - (-1 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i + 18. Let c(p) = 6*p + i*p + 8*p - 4*p. Let h(x) = -19*x - 6. Let o(f) = -35*f - 11. Let t(d) = 11*h(d) - 6*o(d). Give c(t(l)).\nAnswer: 16*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/19? (a) 3 (b) -2\/5 (c) -2\/15 (d) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/23)\/((-418)\/44). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/78616 and -5\/6.\nAnswer: 235848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 5*w = -8*k - 9, 3*k + 16 = -4*w. Sort 3, 2, k in increasing order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -2. Let f = -1 + y. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 908416 = -31*p. What is the thousands digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15282, -226, -1, 4 in descending order.\nAnswer: 4, -1, -226, -15282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4176 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1195757 divided by 4\nAnswer: 1195757\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/13 (b) 10\/7 (c) -64 (d) -4 (e) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -73785 + 73743 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2057))**2 - (2*sqrt(51))\/sqrt(3)) + -2 + (sqrt(17) - (sqrt(833) + sqrt(833) + -1))**2.\nAnswer: -28*sqrt(17) + 11100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 5\/3, -29, -2, 1\/13, 3 in descending order.\nAnswer: 6, 3, 5\/3, 1\/13, 0, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faadmcamfaaaaa. Give prob of picking 1 d and 1 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0139 to two decimal places.\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 11:12 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406936.7l to millilitres.\nAnswer: 406936700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333 (base 8) to base 13.\nAnswer: 13b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.08327ml to litres.\nAnswer: 0.00708327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174320, 339295, 504270?\nAnswer: 669245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**4 - 4*t**3 + 4*t + 6. Let j = -1 - 0. Let x(q) = q**3 - q - 1. Let w(r) = j*k(r) - 4*x(r). Differentiate w(l) with respect to l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*p - 664, p - 103 - 63 = 4*t. Let m = p + -141. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 7\/5*w**2 + 2\/25*w**5 + 6\/5*w**3 + 1\/2*w**4 + 11 + 4\/5*w. Solve l(a) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from yyyytqtyqy.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l - 9. Let h be q(11). Let s be 6\/4 + (-9)\/6. Let m = s + h. Which is bigger: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**5\/20 - b**4\/4 - 2*b**3 + 6*b**2 - b + 5. Let m(u) be the first derivative of j(u). Determine i so that m(i) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*i - 3010 = 4280 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1086\/95, 1\/17, -0.3 in ascending order.\nAnswer: -1086\/95, -0.4, -0.3, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 130 + 34 = 0. Let a = 35 + w. Suppose -2*l - 1 = -5. Solve 0 = -2*k + a*j - 19, -l*j + 20 = -k + 3*j for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + g - 2*g + 2*g + 48.\nAnswer: g + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2367*c + 40 = o + 2372*c, -268 = -4*o + 7*c for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -289160 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**5\/60 + g**3\/6 + 19*g**2\/2 + 3*g - 9. Let q(z) be the second derivative of p(z). Let v(r) = 17*r. Determine v(q(h)).\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/(h\/h**(-8\/9)))**(2\/169)*h**2\/(h*h\/h**(5\/2))*(h*(h**7\/h)\/h)\/(h\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**(-1733\/3042)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*i = 0, -3*l + 4*i = -0*i + 31. Let x = -78.5 + 78. Sort -8, l, x in increasing order.\nAnswer: -8, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**(-4\/23))**(-11) assuming l is positive.\nAnswer: l**(-22\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one tenth of a millennium?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 506126.7 centuries to months.\nAnswer: 607352040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000183398 to 7 decimal places.\nAnswer: 0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 3, j: 4, v: 2, l: 4, u: 1}. Give prob of picking 1 j and 1 l.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -3*k - 3. Let b(d) be the second derivative of 3*d**4\/4 - d**3\/2 + d**2 - 15*d - 1. Let x be b(k). Which is greater: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*z + z - 33 = 0, -5*a + 2*z - 100 = 0. Let l = 156 - a. What is the remainder when l is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 896 = -327*f - 121*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4028 is divided by 183.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(19)*-1 + (sqrt(19) + -2*sqrt(475))**2 + 3) - (-4 + (sqrt(342) + sqrt(38))\/sqrt(2) - ((sqrt(1900) - (sqrt(1900) + 0))*2)**2).\nAnswer: -8*sqrt(19) + 6180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n - 1. Let u(s) = 5*s. Let d(f) = -4*b(f) + 7*u(f). Let m(a) be the first derivative of 1\/2*a**2 - 5*a - 2. Calculate -5*d(z) - 4*m(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 282*m**2 - 788*m - 2. Calculate o(3).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, l: 12}. Give prob of picking 3 l and 1 p.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 2:08 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 97*w**2 + w - 2*w - 127*w**2 in the form a + b*w + l*w**2 and give l.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588050883 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1389 - 6947\/5. Let f = 8 + -9.3. Let h = 0.3 + f. Is n greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 14*q**2 - q + 17. Let h be o(14). Suppose -5*p - h*s - s = -2168, p - 2*s - 428 = 0. What is the lowest common multiple of p and 2?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -647, -2386, -5289, -9362, -14611?\nAnswer: -21042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 28 - 45 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14709?\nAnswer: 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 177*y - 177*y - 92)*(14*y - 13*y - 14*y).\nAnswer: 13*y**5 + 1196*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**2 - 7*g + 35. Let l(r) = 13*r**2 + 6*r - 36. Let k(v) = 5*l(v) + 4*s(v). Find the second derivative of k(f) wrt f.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(9\/7)*s*s)*s**(-31)\/s)\/((s\/((s\/(s\/((s\/((s*s\/s**(-11))\/s))\/s)*s))\/s*s))\/(s*s**14)) assuming s is positive.\nAnswer: s**(-233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 2*s - 3428 + 3516, -h = -s + 28 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 118*h**2\/7 - 498*h\/7 - 54.\nAnswer: 2*(h - 63)*(h + 1)*(h + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -16382.5 to the nearest 10.\nAnswer: -16380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 35 - i - 67 + 3*i**2 to the form p + r*i**2 + h*i and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l. Suppose 0 = 5*p + 7 - 52. Suppose p*s = 5*s + 4. Let b(d) = -d. Calculate s*c(m) - 3*b(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*n - 248 - 14*n + 8*n + 70 - 4*n as l + i*n and give l.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1105476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -274 + 362. What is the least common multiple of s and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/20 - 61*r**4\/8 - 31*r**3 + 110*r**2 - 2. Suppose p(t) = 0. Calculate t.\nAnswer: -1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112.33? (a) -4\/3 (b) 1\/4 (c) 0.159\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7683 or -7685?\nAnswer: -7685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 3*s + 4*z, -3*s + 2*s + z - 30 = 0. Suppose b - 4*h + 29 - 5 = 0, -b - 2*h = 30. Let i = s - b. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 5*m**2 - 4*m**2 + 0*m**5 - 4*m**5 + 6*m**4. Let y(x) = -x**4 + x**2. Let v(n) = -j(n) - 6*y(n). What is the third derivative of v(g) wrt g?\nAnswer: 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2275487 and 316862.\nAnswer: 414138634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 10*y**2 + y + 7. Let t be z(-10). Is -5 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/660 and 161\/1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1965136047 to the nearest integer?\nAnswer: 44330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7226, -58173, -196514, -465947, -910170, -1572881?\n\"Answer: -7283*z**3 + z**2 + 31*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -138*o**2 - 1149*o - 3. What is k(-10)?\nAnswer: -2313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 3:48 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.6 + 16. Let j = i + -2.6. Let h = -0.114 + 3.114. Which is the third biggest value? (a) -0.3 (b) j (c) h (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 16, 28, -4 in decreasing order.\nAnswer: 28, 16, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4477 (base 12) in base 6?\nAnswer: 55031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n = -4*l - 72, 2*l = -2*n + 62. Suppose 3 = -4*w - 5, -2*q + w = -n. Calculate the greatest common factor of q and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvvd when four letters picked without replacement from ddvvvdvvvdv.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*x = -68*x - 37642. What is the greatest common factor of x and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3852647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, u: 8}. What is prob of picking 2 u?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(1*4\/8). Suppose 12 = -o*b - 8. What is the units digit of (-2)\/b + (-343)\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1510128 and 1908?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 18, l: 1}. Give prob of picking 2 r.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3216 * 0.4\nAnswer: 1286.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1322022111 + 21?\nAnswer: 1322022132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 816546529 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 490, 1154, 1774, 2350, 2882, 3370?\n\"Answer: -22*n**2 + 730*n - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -0.3, -0.5, -3, -1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * -598.\nAnswer: -17940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1431*a + 4294*a + 9 - 1439*a - 23 - 1433*a - 21.\nAnswer: -9*a - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 z when four letters picked without replacement from zdczbhczbbzcbhbzbz?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/15 + 96\/5. What is the remainder when w*(-3 - -1 - -3) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 6) in base 16?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2216717 times -0.14?\nAnswer: 0.031034038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 209999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2764 - -2763.96. Sort w, -1, 0.16 in decreasing order.\nAnswer: 0.16, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4761, -6138, -7515, -8892?\n\"Answer: -1377*c - 3384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10432 (base 5) to base 10\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.02 + 214.98. Let j = -214 + g. What is the third smallest value in 0.4, 1, j, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10215784+0.25\nAnswer: 10215784.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 5*d**2 + 54*d - 44. List the prime factors of q(9).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 24 = 2345*h - 2343*h, -2*m = -3*h + 26. Solve -1401*j = -1399*j - h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10474 + 10476. Solve 2\/3*k**o - 8\/3 + 2\/3*k**3 - 8\/3*k = 0 for k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*v - 692*v = 2837*v + 183018 for v.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/6 - 3*w**2. Suppose -4*k + 7 = -5. Suppose 2*m + k*m = 30. Let q(x) = 5*x. Give m*q(c) - 7*g(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 2:55 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 1. Let v(l) be the second derivative of l**3\/3 + 5*l**2\/2 + 15*l. Calculate -5*s(h) - v(h).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 8, -2, 5, -167 in ascending order.\nAnswer: -167, -63, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 44249745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257715?\nAnswer: 3, 5, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 5, -2, -9, -16, -23?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26377698 + -0.4.\nAnswer: -26377698.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59, -299, -699, -1259?\n\"Answer: -80*v**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 3:25 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 45*o**2. Let l(v) = -2*v. Give l(h(j)).\nAnswer: -90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + 37 + -37?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 4434243452?\nAnswer: -4434243453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 0\/((-11)\/(55\/(-10))). Is (-2*j\/4)\/(6\/28932) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 2*o**3 - 4*o**3)*(1 - 6 + 1) + (0*o**2 - 3*o**2 + 4*o**2)*(-2*o - 2*o + 6*o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*g**3 - 6*g**4 + 18*g**3 - 16*g + 7*g**4 + 21*g**4 + 15*g in the form r*g**3 + o*g**2 + s*g**4 + y + x*g and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2406 - -2406.4. Put -0.3, 0.3, t, -2.2, 5\/6 in decreasing order.\nAnswer: 5\/6, t, 0.3, -0.3, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -2137, -2, -1 in descending order.\nAnswer: 5, 2, -1, -2, -2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 0)\/((-1)\/(-14)). Let a be (-3)\/(-4) + (-35)\/t. Solve -a*h - h = 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -1. Let s(w) = -w**2 - 130*w + 127. Let u be s(1). Let f = 251 + -1005\/4. What is the nearest to u in g, -1\/3, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylo when three letters picked without replacement from {l: 5, y: 2, o: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1911528316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7289, 14580, 21871?\nAnswer: 29162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6419 + -3454. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o**2 + 99*o + 350. What is i(-6)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -265, -1020, -2279, -4042, -6309?\n\"Answer: -252*f**2 + f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66515055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12448 (b) -2\/19 (c) -1\/54 (d) 41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.952 + -0.048. What is the nearest to -1\/4 in 2, u, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -366 + 11?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 131*q - 128*q - 300, 4*q + 2*c - 410 = 0. Let i = 189 - 182. What is the remainder when q is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874925389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1600, -426, 6292, 21326, 47448?\n\"Answer: 462*d**3 - 2060*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 116, 128, 148, 176, 212, 256, 308?\n\"Answer: 4*i**2 + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 33*v - 17*v)*(4*v + 0*v - v + 0*v - 2*v + 3*v + (-1 + 2*v + 1)*(-3 + 7 - 2) + 0 - 2*v + 0 - v + 2*v + 0*v) to b*v + c*v**2 + j and give c.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -5, -2, 3, 10, 19, 30?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - 8. Let v(l) = -6*l - 20. Let k(c) = 5*p(c) - 2*v(c). Let n(s) be the third derivative of s**4\/8 - s**2. Determine n(k(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/10 of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 8:15 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 17. Let v = 26 + -22. Let w = v + 25. Calculate the remainder when w is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.21 > -2101\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6691513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 537455179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 0*z - 1\/2*z**2 + 36. Let w(j) be the first derivative of j**3\/3 - 1. Give h(w(u)).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/24)\/(10\/40). Suppose -1 + 0 = -b, -y*j + 3*b + 227 = 0. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 1. Let k(j) = -30*j**2 - j + 8. Give k(i) + 2*m(i).\nAnswer: -32*i**2 - i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3587 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41812)\/(-78) + 102\/(-1989) - (-1 + 9). Calculate the greatest common factor of 4884 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 2 + 40)*((2 - 2 + 1)*(-2*t**2 + 3*t - 3*t) + t**2 + 2*t**2 - 2*t**2) to the form h + k*t + u*t**2 and give u.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -44 + -83 + 72.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n**3 + 283024*n**2 - 3869956*n + 6607720 = 0. What is n?\nAnswer: -23599, 2, 35\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1091386926 + 2.3\nAnswer: 1091386928.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.6134 - -2.0778. What is p rounded to 1 dp?\nAnswer: 14.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10226952 - 10226927.000052. Let y = 25 - n. What is y rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1039674 smaller than -1039675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y = -280*y + 3131 - 1127 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 31, -10, -1, -3 in decreasing order.\nAnswer: 31, 2, -1, -3, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (559 - 876 + 1321)*(2 - w - 2*w - 4) to n + d*w and give n.\nAnswer: -2008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.96509 kilometers?\nAnswer: 4965090000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-6 - -1) + 100 + -77\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 629*w - 93*w + 10*w**4 + 1860 - 84*w - 8163 - 8768 wrt w.\nAnswer: 40*w**3 + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148770, -148776, -148782?\nAnswer: -148788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c + 20. Let r be m(10). Suppose -3*z + 2*z + 11 = r. Suppose -36 = z*x - 17*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -465\/4 - -1739\/12. Let b = 54829 - 54826. Sort b, 0, -1\/8, d in increasing order.\nAnswer: -1\/8, 0, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + d92?\nAnswer: d9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(-3) - (-1298)\/177. Solve i + i = -4*u + 10, -3*u + h*i = 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1366, -2264, -3152, -4030, -4898, -5756, -6604?\nAnswer: -7442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 25*z**2 + 19*z**2 + 46*z**2. Let n(b) = -b. What is v(n(o))?\nAnswer: 90*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -238*n - 1. Let j be b(1). Suppose 9*s = 8*s + y - 146, s + 155 = 4*y. Let w = s - j. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*d**2 - 2*d - 55 with respect to d.\nAnswer: -86*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -597025, 6, -0.05 in increasing order.\nAnswer: -597025, -0.05, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.46975 + 174929.739?\nAnswer: 174930.20875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from ghhgv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m - 53*m - 48*m)*(-2 + 1 + 0 + (-6 + 3 + 1)*(-3 + 1 + 0))*(3 - 2 - 3)*(-2*m + m - m).\nAnswer: -1044*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 67243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-49) + 30\/14. Calculate the highest common factor of j and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 18, -2, 1 in descending order.\nAnswer: 134, 18, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**5\/60 - 2*k**2. Let q be ((-12)\/21)\/((-16)\/56). Let v(r) = 2 - 2 + 0 - r**q. What is j(v(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(539)*1 + -2 - (4 + ((sqrt(99)*-5)**2 - sqrt(11) - (sqrt(88)\/sqrt(72) - sqrt(11))**2))) + -5.\nAnswer: -22339\/9 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -118163 (b) -5 (c) -2\/15 (d) 41\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 65349.\nAnswer: -32674.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19925512561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((145\/(-350))\/(-29)). Let b = -30 + l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s - 6. Let x(t) = -t + 2. Let k(v) = v + 7. Let h be k(-6). Suppose 0 = 4*w - 9 + h. Let d = -30 - -37. Calculate d*x(b) + w*p(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2073435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17810746 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*s + 164*s - 242 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297577707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 252053.4 millilitres in litres?\nAnswer: 252.0534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3197955 divided by -188115\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 163, 80, 132 in ascending order.\nAnswer: 80, 132, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**5 - 2*h**4 - 2*h**3 + 4*h**2 + h - 2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*c + 167*c + 693 = 82*c. What is the remainder when 343 is divided by c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 49*x + 14. Let k be y(-10). Let d = -472 - k. Solve d*b + 16 = i, 0*b - 4*b = 5*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/(-21) - -4)*(-10 - -7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let t = b - 8. Let a = -0.1 - -1.1. Sort t, a, -1.\nAnswer: t, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(9\/4)\/(o\/(o**(3\/2)\/o)*o**3*o))\/(o**(-3)*o*o**(-3\/8))**(-23) assuming o is positive.\nAnswer: o**(-509\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325 - 113 - 141)*(12*l**3 - 70*l**2 + 70*l**2) + 0*l**3 + l**3 - 3*l**3.\nAnswer: -6950*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 2:55 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 3*o**2 - 3*o - 55. Let z(q) = -q**2. What is j(z(r))?\nAnswer: -6*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i - 14. Let q be ((-75)\/i - 0)*(-24)\/5. Let k be -3*8\/q*12\/2. Solve 4*z + 16 = -k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-16 - -11)\/5. Which is the closest to r? (a) 114 (b) -4\/7 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.483861mg?\nAnswer: 0.003483861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.28 + -1.28. Which is the nearest to f? (a) -5 (b) -4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2. Suppose -9 = 5*y + 3*a, -5*a + 10*a + 15 = -3*y. Let d(r) be the second derivative of 8*r + y*r**2 + 0 + 0*r**3 + 13\/4*r**4. Give p(d(o)).\nAnswer: 3042*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -425663490 by -10.\nAnswer: 42566349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -11363?\nAnswer: -11364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1155273 and 22764?\nAnswer: 4621092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 7:08 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*z**3 + 52*z**2?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23266051\/2130 - 54616\/5. Calculate the common denominator of -113\/30 and p.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1427 - 785. Are 641 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28891997 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 554, 551, 548?\n\"Answer: -3*q + 557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102211 - 130?\nAnswer: 102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 2:36 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36021?\nAnswer: 3, 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/((-36)\/(-2))*-18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 215*k + 422*k - 2848 = -26114 - 44893 for k.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Let k = 1.3 + -0.3. Let d = -0.5 + k. Which is the third biggest value? (a) -2 (b) d (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**2 - 5*f - 626. What is j(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -22 (b) 2\/3 (c) 101 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16893 and -5.\nAnswer: -84465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppzpvppppppppp. What is prob of sequence pvz?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}